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1912.13404 | Lasse Leskel\"a | Mindaugas Bloznelis and Lasse Leskel\"a | Clustering and percolation on superpositions of Bernoulli random graphs | The article has been rewritten with updated notations, updated
proofs, and added figures | null | null | null | math.PR math.CO physics.soc-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A simple but powerful network model with $n$ nodes and $m$ partly overlapping
layers is generated as an overlay of independent random graphs $G_1,\dots,G_m$
with variable sizes and densities. The model is parameterised by a joint
distribution $P_n$ of layer sizes and densities. When $m$ grows linearly and
$P_n \to P$ as $n \to \infty$, the model generates sparse random graphs with a
rich statistical structure, admitting a nonvanishing clustering coefficient
together with a limiting degree distribution and clustering spectrum with
tunable power-law exponents. Remarkably, the model admits parameter regimes in
which bond percolation exhibits two phase transitions: the first related to the
emergence of a giant connected component, and the second to the appearance of
gigantic single-layer components.
| [
{
"created": "Tue, 31 Dec 2019 16:45:11 GMT",
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{
"created": "Wed, 26 Aug 2020 13:33:27 GMT",
"version": "v2"
},
{
"created": "Mon, 2 Nov 2020 22:48:59 GMT",
"version": "v3"
}
] | 2020-11-04 | [
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] | 1,225,300 |
1912.13405 | Jesse Read | Jesse Read, Bernhard Pfahringer, Geoff Holmes, Eibe Frank | Classifier Chains: A Review and Perspectives | null | Journal of Artificial Intelligence Research 70 (2021) 683-718 | 10.1613/jair.1.12376 | null | cs.LG cs.AI stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The family of methods collectively known as classifier chains has become a
popular approach to multi-label learning problems. This approach involves
linking together off-the-shelf binary classifiers in a chain structure, such
that class label predictions become features for other classifiers. Such
methods have proved flexible and effective and have obtained state-of-the-art
empirical performance across many datasets and multi-label evaluation metrics.
This performance led to further studies of how exactly it works, and how it
could be improved, and in the recent decade numerous studies have explored
classifier chains mechanisms on a theoretical level, and many improvements have
been made to the training and inference procedures, such that this method
remains among the state-of-the-art options for multi-label learning. Given this
past and ongoing interest, which covers a broad range of applications and
research themes, the goal of this work is to provide a review of classifier
chains, a survey of the techniques and extensions provided in the literature,
as well as perspectives for this approach in the domain of multi-label
classification in the future. We conclude positively, with a number of
recommendations for researchers and practitioners, as well as outlining a
number of areas for future research.
| [
{
"created": "Thu, 26 Dec 2019 11:44:54 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Apr 2020 11:36:27 GMT",
"version": "v2"
}
] | 2021-02-15 | [
[
"Read",
"Jesse",
""
],
[
"Pfahringer",
"Bernhard",
""
],
[
"Holmes",
"Geoff",
""
],
[
"Frank",
"Eibe",
""
]
] | 19 | [
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] | 1,225,301 |
1912.13406 | Hamid Reza Salimi Moghaddam | Masoumeh Hosseini and Hamid Reza Salimi Moghaddam | Classification of Douglas $(\alpha,\beta)$-metrics on five dimensional
nilpotent Lie groups | null | null | 10.1142/S0219887820501121 | null | math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we classify all simply connected five dimensional nilpotent Lie
groups which admit $(\alpha,\beta)$-metrics of Berwald and Douglas type defined
by a left invariant Riemannian metric and a left invariant vector field. During
this classification we give the geodesic vectors, Levi-Civita connection,
curvature tensor, sectional curvature and $S$-curvature.
| [
{
"created": "Thu, 19 Dec 2019 01:14:53 GMT",
"version": "v1"
}
] | 2021-09-08 | [
[
"Hosseini",
"Masoumeh",
""
],
[
"Moghaddam",
"Hamid Reza Salimi",
""
]
] | 19 | [
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] | 1,225,302 |
1912.13407 | Wei Zhang | Yuzan Xiong, Yi Li, Mouhamad Hammami, Rao Bidthanapally, Joseph
Sklenar, Xufeng Zhang, Hongwei Qu, Gopalan Srinivasan, John Pearson, Axel
Hoffmann, Valentine Novosad, Wei Zhang | Probing magnon-magnon coupling in exchange coupled
Y$_3$Fe$_5$O$_{12}$/Permalloy bilayers with magneto-optical effects | 16 pages, 3 figures | null | null | null | cond-mat.mtrl-sci cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate the magnetically-induced transparency (MIT) effect in
Y$_3$Fe$_5$O$_{12}$(YIG)/Permalloy(Py) coupled bilayers. The measurement is
achieved via a heterodyne detection of the coupled magnetization dynamics using
a single wavelength that probes the magneto-optical Kerr and Faraday effects of
Py and YIG, respectively. Clear features of the MIT effect are evident from the
deeply modulated ferromagnetic resonance of Py due to the
perpendicular-standing-spin-wave of YIG. We develop a phenomenological model
that nicely reproduces the experimental results including the induced amplitude
and phase evolution caused by the magnon-magnon coupling. Our work offers a new
route towards studying phase-resolved spin dynamics and hybrid magnonic
systems.
| [
{
"created": "Tue, 31 Dec 2019 16:48:26 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jul 2020 17:34:55 GMT",
"version": "v2"
}
] | 2020-07-13 | [
[
"Xiong",
"Yuzan",
""
],
[
"Li",
"Yi",
""
],
[
"Hammami",
"Mouhamad",
""
],
[
"Bidthanapally",
"Rao",
""
],
[
"Sklenar",
"Joseph",
""
],
[
"Zhang",
"Xufeng",
""
],
[
"Qu",
"Hongwei",
""
],
[
"Srinivasan",
"Gopalan",
""
],
[
"Pearson",
"John",
""
],
[
"Hoffmann",
"Axel",
""
],
[
"Novosad",
"Valentine",
""
],
[
"Zhang",
"Wei",
""
]
] | 19 | [
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] | 1,225,303 |
1912.13408 | Matthew Riemer | Matthew Riemer, Ignacio Cases, Clemens Rosenbaum, Miao Liu, Gerald
Tesauro | On the Role of Weight Sharing During Deep Option Learning | AAAI 2020 | null | null | null | cs.LG stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The options framework is a popular approach for building temporally extended
actions in reinforcement learning. In particular, the option-critic
architecture provides general purpose policy gradient theorems for learning
actions from scratch that are extended in time. However, past work makes the
key assumption that each of the components of option-critic has independent
parameters. In this work we note that while this key assumption of the policy
gradient theorems of option-critic holds in the tabular case, it is always
violated in practice for the deep function approximation setting. We thus
reconsider this assumption and consider more general extensions of
option-critic and hierarchical option-critic training that optimize for the
full architecture with each update. It turns out that not assuming parameter
independence challenges a belief in prior work that training the policy over
options can be disentangled from the dynamics of the underlying options. In
fact, learning can be sped up by focusing the policy over options on states
where options are actually likely to terminate. We put our new algorithms to
the test in application to sample efficient learning of Atari games, and
demonstrate significantly improved stability and faster convergence when
learning long options.
| [
{
"created": "Tue, 31 Dec 2019 16:49:13 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Feb 2020 06:19:04 GMT",
"version": "v2"
}
] | 2020-02-07 | [
[
"Riemer",
"Matthew",
""
],
[
"Cases",
"Ignacio",
""
],
[
"Rosenbaum",
"Clemens",
""
],
[
"Liu",
"Miao",
""
],
[
"Tesauro",
"Gerald",
""
]
] | 19 | [
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] | 1,225,304 |
1912.13409 | Leonid Levitov | Haoyang Gao, Zhiyu Dong, Leonid Levitov | Plasmonic Drag in a Flowing Fermi Liquid | null | null | null | null | cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Collective modes in two-dimensional electron fluids show an interesting
response to a background carrier flow. Surface plasmons propagating on top of a
flowing Fermi liquid acquire a non-reciprocal character manifest in a $\pm k$
asymmetry of mode dispersion. The nonreciprocity arises due to Fermi surface
polarization by the flow. The flow-induced interactions between quasiparticles
make collective modes of the system uniquely sensitive to subtle "motional"
Fermi-liquid effects. The flow-induced Doppler-type frequency shift of plasmon
resonances, arising due to electron interactions, can strongly deviate from the
classical value. This opens a possibility to directly probe motional
Fermi-liquid effects in plasmonic near-field imaging experiments.
| [
{
"created": "Tue, 31 Dec 2019 16:50:17 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Gao",
"Haoyang",
""
],
[
"Dong",
"Zhiyu",
""
],
[
"Levitov",
"Leonid",
""
]
] | 19 | [
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] | 1,225,305 |
1912.13410 | Wei Zhou | Wei Zhou, Chen Cao, Dongdong Huo, Kai Cheng, Lan Zhang, Le Guan, Tao
Liu, Yaowen Zheng, Yuqing Zhang, Limin Sun, Yazhe Wang, Peng Liu | Logic Bugs in IoT Platforms and Systems: A Review | null | null | null | null | cs.CR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In recent years, IoT platforms and systems have been rapidly emerging.
Although IoT is a new technology, new does not mean simpler (than existing
networked systems). Contrarily, the complexity (of IoT platforms and systems)
is actually being increased in terms of the interactions between the physical
world and cyberspace. The increased complexity indeed results in new
vulnerabilities. This paper seeks to provide a review of the recently
discovered logic bugs that are specific to IoT platforms and systems. In
particular, 17 logic bugs and one weakness falling into seven categories of
vulnerabilities are reviewed in this survey.
| [
{
"created": "Tue, 31 Dec 2019 16:50:24 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Mar 2020 22:27:33 GMT",
"version": "v2"
}
] | 2020-03-04 | [
[
"Zhou",
"Wei",
""
],
[
"Cao",
"Chen",
""
],
[
"Huo",
"Dongdong",
""
],
[
"Cheng",
"Kai",
""
],
[
"Zhang",
"Lan",
""
],
[
"Guan",
"Le",
""
],
[
"Liu",
"Tao",
""
],
[
"Zheng",
"Yaowen",
""
],
[
"Zhang",
"Yuqing",
""
],
[
"Sun",
"Limin",
""
],
[
"Wang",
"Yazhe",
""
],
[
"Liu",
"Peng",
""
]
] | 19 | [
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] | 1,225,306 |
1912.13411 | Maria Mannone | Maria Mannone and Luca Turchet | Shall We (Math and) Dance? | preprint | In: Montiel M., Gomez-Martin F., Agust\'in-Aquino O. (eds)
Mathematics and Computation in Music. MCM 2019. Lecture Notes in Computer
Science, vol 11502. Springer, Cham | 10.1007/978-3-030-21392-3_7 | null | math.GM | http://creativecommons.org/licenses/by-nc-sa/4.0/ | Can we use mathematics, and in particular the abstract branch of category
theory, to describe some basics of dance, and to highlight structural
similarities between music and dance? We first summarize recent studies between
mathematics and dance, and between music and categories. Then, we extend this
formalism and diagrammatic thinking style to dance.
| [
{
"created": "Wed, 18 Dec 2019 14:33:13 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Mannone",
"Maria",
""
],
[
"Turchet",
"Luca",
""
]
] | 19 | [
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] | 1,225,307 |
1912.13412 | Miguel Lagos | Miguel Lagos | The semiconducting and metallic phases of conjugated polymers | Six page article, letter format, will be followed by an extended
article. Not submitted to any journal yet | null | null | null | cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently a variety of $\pi$-conjugated polymers have been developed and
essayed for a number of applications such as organic light-emitting diodes,
organic field-effect transistors, organic photovoltaics, and sensors. Is
central for these applications the semiconductor character of the pure
materials, which can turn into metallic conductivity by local oxydation or
reduction. Many very recent experiments show two characteristic peaks in the
UV-Vis excitation spectra of the conjugated polymers of interest, both lying in
the gap between the energies of the bonding $\pi$ and antibonding $\pi^*$ bands
and having excitation energies in a ratio ranging from 1.4 to 1.7. The issue is
that $\pi$-electrons are paired in covalent orbitals which interact strongly
between them and with the ionic cores, thus being far from the extended
quasi-free independent one-electron states assumed by the theory of inorganic
semiconductors. A model yielding a mechanism for many-body conduction of charge
and semiconducting properties of the undoped material is introduced here. The
model yields two new flat bands of excited bonding states of Bose-Einstein
statistics able of charge transport. The two bands explain well the
characteristic pair of maxima of the UV-Vis excitation spectra of the
conductive conjugated polymers.
| [
{
"created": "Tue, 24 Dec 2019 08:32:57 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Apr 2020 08:38:52 GMT",
"version": "v2"
}
] | 2020-04-27 | [
[
"Lagos",
"Miguel",
""
]
] | 19 | [
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1912.13413 | Maxat Tezekbayev | Maxat Tezekbayev, Zhenisbek Assylbekov, Rustem Takhanov | Semantics- and Syntax-related Subvectors in the Skip-gram Embeddings | 2 pages, 1 figure, Student Abstract | null | null | null | cs.CL | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the skip-gram embedding of any word can be decomposed into two
subvectors which roughly correspond to semantic and syntactic roles of the
word.
| [
{
"created": "Mon, 23 Dec 2019 18:01:32 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Tezekbayev",
"Maxat",
""
],
[
"Assylbekov",
"Zhenisbek",
""
],
[
"Takhanov",
"Rustem",
""
]
] | 19 | [
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] | 1,225,309 |
1912.13414 | Xingyu Lu | Xingyu Lu, Stas Tiomkin, Pieter Abbeel | Predictive Coding for Boosting Deep Reinforcement Learning with Sparse
Rewards | null | null | null | null | cs.LG cs.AI stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | While recent progress in deep reinforcement learning has enabled robots to
learn complex behaviors, tasks with long horizons and sparse rewards remain an
ongoing challenge. In this work, we propose an effective reward shaping method
through predictive coding to tackle sparse reward problems. By learning
predictive representations offline and using these representations for reward
shaping, we gain access to reward signals that understand the structure and
dynamics of the environment. In particular, our method achieves better learning
by providing reward signals that 1) understand environment dynamics 2)
emphasize on features most useful for learning 3) resist noise in learned
representations through reward accumulation. We demonstrate the usefulness of
this approach in different domains ranging from robotic manipulation to
navigation, and we show that reward signals produced through predictive coding
are as effective for learning as hand-crafted rewards.
| [
{
"created": "Sat, 21 Dec 2019 03:32:00 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Aug 2020 01:28:14 GMT",
"version": "v2"
}
] | 2020-08-04 | [
[
"Lu",
"Xingyu",
""
],
[
"Tiomkin",
"Stas",
""
],
[
"Abbeel",
"Pieter",
""
]
] | 19 | [
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] | 1,225,310 |
1912.13415 | John Giorgi | John Giorgi, Xindi Wang, Nicola Sahar, Won Young Shin, Gary D. Bader,
Bo Wang | End-to-end Named Entity Recognition and Relation Extraction using
Pre-trained Language Models | 12 pages, 2 figures | null | null | null | cs.CL cs.LG | http://creativecommons.org/publicdomain/zero/1.0/ | Named entity recognition (NER) and relation extraction (RE) are two important
tasks in information extraction and retrieval (IE \& IR). Recent work has
demonstrated that it is beneficial to learn these tasks jointly, which avoids
the propagation of error inherent in pipeline-based systems and improves
performance. However, state-of-the-art joint models typically rely on external
natural language processing (NLP) tools, such as dependency parsers, limiting
their usefulness to domains (e.g. news) where those tools perform well. The few
neural, end-to-end models that have been proposed are trained almost completely
from scratch. In this paper, we propose a neural, end-to-end model for jointly
extracting entities and their relations which does not rely on external NLP
tools and which integrates a large, pre-trained language model. Because the
bulk of our model's parameters are pre-trained and we eschew recurrence for
self-attention, our model is fast to train. On 5 datasets across 3 domains, our
model matches or exceeds state-of-the-art performance, sometimes by a large
margin.
| [
{
"created": "Fri, 20 Dec 2019 19:47:56 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Giorgi",
"John",
""
],
[
"Wang",
"Xindi",
""
],
[
"Sahar",
"Nicola",
""
],
[
"Shin",
"Won Young",
""
],
[
"Bader",
"Gary D.",
""
],
[
"Wang",
"Bo",
""
]
] | 19 | [
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] | 1,225,311 |
1912.13416 | Laurent Francois | Laurent Francois (CMAP), Jo\"el Dupays, Dmitry Davidenko, Marc Massot
(CMAP) | Travelling wave mathematical analysis and efficient numerical resolution
for a one-dimensional model of solid propellant combustion | Combustion Theory and Modelling, Taylor & Francis, In press | null | 10.1080/13647830.2020.1752943 | null | math.AP cs.NA math.NA physics.class-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate a model of solid propellant combustion involving surface
pyrolysis coupled to finite activation energy gas phase combustion. Existence
and uniqueness of a travelling wave solution are established by extending
dynamical system tools classically used for premixed flames, dealing with the
additional difficulty arising from the surface regression and pyrolysis. An
efficient shooting method allows to solve the problem in phase space without
resorting to space discretisation nor fixed-point Newton iterations. The
results are compared to solutions from a CFD code developed at ONERA, assessing
the efficiency and potential of the method, and the impact of the modelling
assumptions is evaluated through parametric studies.
| [
{
"created": "Thu, 26 Dec 2019 10:48:59 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Apr 2020 13:39:22 GMT",
"version": "v2"
}
] | 2020-04-20 | [
[
"Francois",
"Laurent",
"",
"CMAP"
],
[
"Dupays",
"Joël",
"",
"CMAP"
],
[
"Davidenko",
"Dmitry",
"",
"CMAP"
],
[
"Massot",
"Marc",
"",
"CMAP"
]
] | 19 | [
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] | 1,225,312 |
1912.13417 | Changcheng Sheng | Changcheng Sheng, Qun Zhao, Wanjie Niu, Xiaoyan Qiu, Ming Zhang, Zheng
Jiao | Effect of protein binding on exposure of unbound and total mycophenolic
acid: a population pharmacokinetic analysis in Chinese adult kidney
transplant recipients | 39 pages, 3 tables, 5 figures, 1 supplementary table and 1
supplementary figure | Front. Pharmacol. (2020) 11:340 | 10.3389/fphar.2020.00340 | null | q-bio.TO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | AIMS A population pharmacokinetic (PK) analysis was performed to: (1)
characterise the PK of unbound and total mycophenolic acid (MPA) and its
7-O-mycophenolic acid glucuronide (MPAG) metabolite, and (2) identify the
clinically significant covariates that cause variability in the dose-exposure
relationship to facilitate dose optimisation. METHODS A total of 740 unbound
MPA (uMPA), 741 total MPA (tMPA) and 734 total MPAG (tMPAG) concentration-time
data from 58 Chinese kidney transplant patients were analysed using a nonlinear
mixed-effect model. The influence of covariates was tested using a stepwise
procedure. RESULTS The PK of unbound MPA and MPAG were characterised by a two-
and one-compartment model with first-order elimination, respectively. Apparent
clearance of uMPA (CLuMPA/F) was estimated to be 852 L/h with a relative
standard error (RSE) of 7.1%. The tMPA and uMPA were connected using a linear
protein binding model, in which the protein binding rate constant (kB)
increased non-linearly with the serum albumin (ALB) concentration. The
estimated kB was 53.4 /h (RSE, 2.3%) for patients with ALB of 40 g/L. In
addition, model-based simulation showed that changes in ALB substantially
affected tMPA but not uMPA exposure. CONCLUSIONS The established model
adequately described the population PK characteristics of the uMPA, tMPA, and
MPAG. The estimated CLuMPA/F and unbound fraction of MPA (FUMPA) in Chinese
kidney transplant recipients were comparable to those published previously in
Caucasians. We recommend monitoring uMPA instead of tMPA to optimise
mycophenolate mofetil (MMF) dosing for patients with lower ALB levels.
| [
{
"created": "Sat, 21 Dec 2019 03:11:22 GMT",
"version": "v1"
}
] | 2020-03-24 | [
[
"Sheng",
"Changcheng",
""
],
[
"Zhao",
"Qun",
""
],
[
"Niu",
"Wanjie",
""
],
[
"Qiu",
"Xiaoyan",
""
],
[
"Zhang",
"Ming",
""
],
[
"Jiao",
"Zheng",
""
]
] | 19 | [
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] | 1,225,313 |
1912.13418 | Shanshan Liu | Shanshan Liu and Abdenacer Makhlouf and Lina Song | On Hom-pre-Lie bialgebras | null | null | null | null | math.RA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we introduce the notion of Hom-pre-Lie bialgebra in the general
framework of the cohomology theory for Hom-Lie algebras. We show that
Hom-pre-Lie bialgebras, standard Manin triples for Hom-pre-Lie algebras and
certain matched pairs of Hom-pre-Lie algebras are equivalent. Due to the usage
of the cohomology theory, it makes us successfully study the coboundary
Hom-pre-Lie bialgebras. The notion of Hom-s-matrix is introduced, by which we
can construct Hom-pre-Lie bialgebras naturally. Finally we introduce the
notions of Hom-O-operators on Hom-pre-Lie algebras and Hom-L-dendriform
algebras, by which we construct Hom-s-matrices.
| [
{
"created": "Fri, 27 Dec 2019 10:50:31 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Liu",
"Shanshan",
""
],
[
"Makhlouf",
"Abdenacer",
""
],
[
"Song",
"Lina",
""
]
] | 19 | [
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] | 1,225,314 |
1912.13419 | Alina Marian | Ignacio Barros, Laure Flapan, Alina Marian, Rob Silversmith | On product identities and the Chow rings of holomorphic symplectic
varieties | null | null | null | null | math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For a moduli space $M$ of stable sheaves over a $K3$ surface $X$, we propose
a series of conjectural identities in the Chow rings $CH_\star (M \times
X^\ell),\, \ell \geq 1,$ generalizing the classic Beauville-Voisin identity for
a $K3$ surface. We emphasize consequences of the conjecture for the structure
of the tautological subring $R_\star (M) \subset CH_\star (M).$ The conjecture
places all tautological classes in the lowest piece of a natural filtration
emerging on $CH_\star (M)$, which we also discuss. We prove the proposed
identities when $M$ is the Hilbert scheme of points on a $K3$ surface.
| [
{
"created": "Tue, 31 Dec 2019 16:57:46 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jun 2020 17:23:04 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Oct 2023 11:07:48 GMT",
"version": "v3"
}
] | 2023-10-16 | [
[
"Barros",
"Ignacio",
""
],
[
"Flapan",
"Laure",
""
],
[
"Marian",
"Alina",
""
],
[
"Silversmith",
"Rob",
""
]
] | 19 | [
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] | 1,225,315 |
1912.13420 | Rahul Dandekar | Rahul Dandekar | Exact Hyperuniformity Exponents and Entropy Cusps in Models of
Active-Absorbing Transition | 6 pages + 4 pages SI, comments and suggestions welcome | null | null | null | cond-mat.stat-mech cond-mat.soft | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent studies of nonequilibrium phase transitions have shown that in many
systems which have transitions involving an arrested phase, the arrested states
show suppressed density fluctuations and a cusp in the configurational entropy
at the transition point. We study quasistatic driving in the 1D fixed-energy
abelian sandpile model, and in conserved lattice gases with range $n$ in 1D,
and exactly determine the measure over the absorbing states for both cases,
along with the behaviour of density fluctuations and the configurational
entropy of absorbing states. We show that both models exhibit hyperuniformity
near the transition, and also that the configurational entropy shows a cusp at
the transition point in the conserved lattice gases.
| [
{
"created": "Tue, 31 Dec 2019 16:58:29 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Dandekar",
"Rahul",
""
]
] | 19 | [
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] | 1,225,316 |
1912.13421 | Zacharie Naulet | Yasaman Mahdaviyeh, Zacharie Naulet | Risk of the Least Squares Minimum Norm Estimator under the Spike
Covariance Model | null | null | null | null | stat.ML cs.LG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study risk of the minimum norm linear least squares estimator in when the
number of parameters $d$ depends on $n$, and $\frac{d}{n} \rightarrow \infty$.
We assume that data has an underlying low rank structure by restricting
ourselves to spike covariance matrices, where a fixed finite number of
eigenvalues grow with $n$ and are much larger than the rest of the eigenvalues,
which are (asymptotically) in the same order. We show that in this setting risk
of minimum norm least squares estimator vanishes in compare to risk of the null
estimator. We give asymptotic and non asymptotic upper bounds for this risk,
and also leverage the assumption of spike model to give an analysis of the bias
that leads to tighter bounds in compare to previous works.
| [
{
"created": "Tue, 31 Dec 2019 16:58:42 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Feb 2020 08:26:02 GMT",
"version": "v2"
}
] | 2020-02-19 | [
[
"Mahdaviyeh",
"Yasaman",
""
],
[
"Naulet",
"Zacharie",
""
]
] | 19 | [
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] | 1,225,317 |
1912.13422 | Veli Shakhmurov | Veli Shakhmurov | Nonlocal fractional differential equations and applications | arXiv admin note: substantial text overlap with arXiv:1706.00803 | null | null | null | math.AP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Boundary value problems for nonlocal fractional elliptic equations with
parameter in Banach spaces are studied. Uniform $L_p$-separability properties
and sharp resolvent estimates are obtained for elliptic equations in terms of
fractional derivatives. Particularly, it is proven that the fractional
ellipitic operator generated by these equations is sectorial and also is a
generator of an analytic semigroup. Moreover, maximal regularity properties of
nonlocal fractional abstract parabolic equation are established. As an
application, the nonlocal anisotropic fractional differential equations and the
system of nonlocal fractional differential equations are studied.
| [
{
"created": "Tue, 24 Dec 2019 13:34:18 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
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] | 1,225,318 |
1912.13423 | Ugur Akpinar | Ugur Akpinar, Erdem Sahin, Monjurul Meem, Rajesh Menon, Atanas Gotchev | Learning Wavefront Coding for Extended Depth of Field Imaging | null | null | null | null | eess.IV cs.CV physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Depth of field is an important factor of imaging systems that highly affects
the quality of the acquired spatial information. Extended depth of field (EDoF)
imaging is a challenging ill-posed problem and has been extensively addressed
in the literature. We propose a computational imaging approach for EDoF, where
we employ wavefront coding via a diffractive optical element (DOE) and we
achieve deblurring through a convolutional neural network. Thanks to the
end-to-end differentiable modeling of optical image formation and computational
post-processing, we jointly optimize the optical design, i.e., DOE, and the
deblurring through standard gradient descent methods. Based on the properties
of the underlying refractive lens and the desired EDoF range, we provide an
analytical expression for the search space of the DOE, which is instrumental in
the convergence of the end-to-end network. We achieve superior EDoF imaging
performance compared to the state of the art, where we demonstrate results with
minimal artifacts in various scenarios, including deep 3D scenes and broadband
imaging.
| [
{
"created": "Tue, 31 Dec 2019 17:00:09 GMT",
"version": "v1"
},
{
"created": "Mon, 25 May 2020 18:59:13 GMT",
"version": "v2"
}
] | 2020-05-27 | [
[
"Akpinar",
"Ugur",
""
],
[
"Sahin",
"Erdem",
""
],
[
"Meem",
"Monjurul",
""
],
[
"Menon",
"Rajesh",
""
],
[
"Gotchev",
"Atanas",
""
]
] | 19 | [
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] | 1,225,319 |
1912.13424 | Brant M. Johnson | U.A. Acharya, A. Adare, C. Aidala, N.N. Ajitanand, Y. Akiba, R.
Akimoto, M. Alfred, N. Apadula, Y. Aramaki, H. Asano, E.T. Atomssa, T.C.
Awes, B. Azmoun, V. Babintsev, M. Bai, N.S. Bandara, B. Bannier, K.N. Barish,
S. Bathe, A. Bazilevsky, M. Beaumier, S. Beckman, R. Belmont, A. Berdnikov,
Y. Berdnikov, D. Black, J.S. Bok, K. Boyle, M.L. Brooks, J. Bryslawskyj, H.
Buesching, V. Bumazhnov, S. Campbell, V. Canoa Roman, C.-H. Chen, C.Y. Chi,
M. Chiu, I.J. Choi, J.B. Choi, T. Chujo, Z. Citron, M. Connors, M. Csan\'ad,
T. Cs\"org\H{o}, T.W. Danley, A. Datta, M.S. Daugherity, G. David, K.
DeBlasio, K. Dehmelt, A. Denisov, A. Deshpande, E.J. Desmond, L. Ding, A.
Dion, J.H. Do, A. Drees, K.A. Drees, J.M. Durham, A. Durum, A. Enokizono, H.
En'yo, R. Esha, S. Esumi, B. Fadem, W. Fan, N. Feege, D.E. Fields, M. Finger,
M. Finger, Jr., D. Fitzgerald, S.L. Fokin, J.E. Frantz, A. Franz, A.D.
Frawley, C. Gal, P. Gallus, E.A. Gamez, P. Garg, H. Ge, F. Giordano, A.
Glenn, Y. Goto, N. Grau, S.V. Greene, M. Grosse Perdekamp, Y. Gu, T. Gunji,
H. Guragain, T. Hachiya, J.S. Haggerty, K.I. Hahn, H. Hamagaki, S.Y. Han, J.
Hanks, S. Hasegawa, T.O.S. Haseler, X. He, T.K. Hemmick, J.C. Hill, K. Hill,
A. Hodges, R.S. Hollis, K. Homma, B. Hong, T. Hoshino, J. Huang, S. Huang, Y.
Ikeda, K. Imai, Y. Imazu, M. Inaba, A. Iordanova, D. Isenhower, S. Ishimaru,
D. Ivanishchev, B.V. Jacak, S.J. Jeon, M. Jezghani, Z. Ji, J. Jia, X. Jiang,
B.M. Johnson, E. Joo, K.S. Joo, D. Jouan, D.S. Jumper, J.H. Kang, J.S. Kang,
D. Kawall, A.V. Kazantsev, J.A. Key, V. Khachatryan, A. Khanzadeev, A.
Khatiwada, K. Kihara, C. Kim, D.H. Kim, D.J. Kim, E.-J. Kim, H.-J. Kim, M.
Kim, Y.K. Kim, D. Kincses, E. Kistenev, J. Klatsky, D. Kleinjan, P. Kline, T.
Koblesky, M. Kofarago, J. Koster, D. Kotov, B. Kurgyis, K. Kurita, M.
Kurosawa, Y. Kwon, R. Lacey, J.G. Lajoie, A. Lebedev, K.B. Lee, S.H. Lee,
M.J. Leitch, M. Leitgab, Y.H. Leung, N.A. Lewis, X. Li, S.H. Lim, M.X. Liu,
S. L\"ok\"os, D. Lynch, T. Majoros, Y.I. Makdisi, M. Makek, A. Manion, V.I.
Manko, E. Mannel, M. McCumber, P.L. McGaughey, D. McGlinchey, C. McKinney, A.
Meles, M. Mendoza, B. Meredith, W.J. Metzger, Y. Miake, A.C. Mignerey, A.J.
Miller, A. Milov, D.K. Mishra, J.T. Mitchell, Iu. Mitrankov, G. Mitsuka, S.
Miyasaka, S. Mizuno, P. Montuenga, T. Moon, D.P. Morrison, S.I. Morrow, T.V.
Moukhanova, B. Mulilo, T. Murakami, J. Murata, A. Mwai, S. Nagamiya, K.
Nagashima, J.L. Nagle, M.I. Nagy, I. Nakagawa, H. Nakagomi, K. Nakano, C.
Nattrass, S. Nelson, P.K. Netrakanti, M. Nihashi, T. Niida, R. Nishitani, R.
Nouicer, T. Nov\'ak, N. Novitzky, A.S. Nyanin, E. O'Brien, C.A. Ogilvie, J.D.
Orjuela Koop, J.D. Osborn, A. Oskarsson, K. Ozawa, R. Pak, V. Pantuev, V.
Papavassiliou, S. Park, S.F. Pate, L. Patel, M. Patel, J.-C. Peng, W. Peng,
D.V. Perepelitsa, G.D.N. Perera, D.Yu. Peressounko, C.E. PerezLara, J. Perry,
R. Petti, C. Pinkenburg, R. Pinson, R.P. Pisani, A. Pun, M.L. Purschke, P.V.
Radzevich, J. Rak, N. Ramasubramanian, I. Ravinovich, K.F. Read, D. Reynolds,
V. Riabov, Y. Riabov, D. Richford, T. Rinn, N. Riveli, D. Roach, S.D.
Rolnick, M. Rosati, Z. Rowan, J.G. Rubin, J. Runchey, N. Saito, T. Sakaguchi,
H. Sako, V. Samsonov, M. Sarsour, S. Sato, S. Sawada, C.Y. Scarlett, B.
Schaefer, B.K. Schmoll, K. Sedgwick, J. Seele, R. Seidl, A. Sen, R. Seto, P.
Sett, A. Sexton, D. Sharma, I. Shein, T.-A. Shibata, K. Shigaki, M.
Shimomura, P. Shukla, A. Sickles, C.L. Silva, D. Silvermyr, B.K. Singh, C.P.
Singh, V. Singh, M. Slune\v{c}ka, K.L. Smith, R.A. Soltz, W.E. Sondheim, S.P.
Sorensen, I.V. Sourikova, P.W. Stankus, M. Stepanov, S.P. Stoll, T. Sugitate,
A. Sukhanov, T. Sumita, J. Sun, X. Sun, Z. Sun, S. Suzuki, J. Sziklai, A.
Takahara, A. Taketani, K. Tanida, M.J. Tannenbaum, S. Tarafdar, A. Taranenko,
R. Tieulent, A. Timilsina, T. Todoroki, M. Tom\'a\v{s}ek, H. Torii, M.
Towell, R. Towell, R.S. Towell, I. Tserruya, Y. Ueda, B. Ujvari, H.W. van
Hecke, M. Vargyas, J. Velkovska, M. Virius, V. Vrba, E. Vznuzdaev, X.R. Wang,
Z. Wang, D. Watanabe, Y. Watanabe, Y.S. Watanabe, F. Wei, S. Whitaker, S.
Wolin, C.P. Wong, C.L. Woody, Y. Wu, M. Wysocki, B. Xia, Q. Xu, L. Xue, S.
Yalcin, Y.L. Yamaguchi, A. Yanovich, J.H. Yoo, I. Yoon, I. Younus, H. Yu,
I.E. Yushmanov, W.A. Zajc, A. Zelenski, Y. Zhai, S. Zharko, L. Zou | $J/\psi$ and $\psi(2S)$ production at forward rapidity in $p$+$p$
collisions at $\sqrt{s}=510$ GeV | 361 authors from 71 institutions, 13 pages, 4 tables, 11 figures,
2013 data. v2 is version accepted for publication in Physical Review D. Plain
text data tables for the points plotted in figures for this and previous
PHENIX publications are (or will be) publicly available at
http://www.phenix.bnl.gov/papers.html | Phys. Rev. D 101, 052006 (2020) | 10.1103/PhysRevD.101.052006 | null | hep-ex nucl-ex | http://creativecommons.org/licenses/by/4.0/ | The PHENIX experiment at the Relativistic Heavy Ion Collider has measured the
differential cross section, mean transverse momentum, mean transverse momentum
squared of inclusive $J/\psi$ and cross-section ratio of $\psi(2S)$ to $J/\psi$
at forward rapidity in \pp collisions at \sqrts = 510 GeV via the dimuon decay
channel. Comparison is made to inclusive $J/\psi$ cross sections measured at
\sqrts = 200 GeV and 2.76--13 TeV. The result is also compared to leading-order
nonrelativistic QCD calculations coupled to a color-glass-condensate
description of the low-$x$ gluons in the proton at low transverse momentum
($p_T$) and to next-to-leading order nonrelativistic QCD calculations for the
rest of the $p_T$ range. These calculations overestimate the data at low $p_T$.
While consistent with the data within uncertainties above $\approx3$ GeV/$c$,
the calculations are systematically below the data. The total cross section
times the branching ratio is BR $d\sigma^{J/\psi}_{pp}/dy (1.2<|y|<2.2,
0<p_T<10~\mbox{GeV/$c$}) =$ 54.3 $\pm$ 0.5 (stat) $\pm$ 5.5 (syst) nb.
| [
{
"created": "Tue, 31 Dec 2019 17:00:31 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Feb 2020 19:10:17 GMT",
"version": "v2"
}
] | 2020-03-18 | [
[
"Acharya",
"U. A.",
""
],
[
"Adare",
"A.",
""
],
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] | 1,225,320 |
1912.13425 | Mark Warner | Emmanuel Si\'efert and Mark Warner | Inflationary routes to Gaussian curved topography | 17 pages, 12 figures | null | 10.1098/rspa.2020.0047 | null | cond-mat.soft | http://creativecommons.org/licenses/by-nc-sa/4.0/ | Gaussian-curved shapes are obtained by inflating initially flat systems made
of two superimposed strong and light thermoplastic impregnated fabric sheets
heat-sealed together along a specific network of lines. The resulting inflated
structures are light and very strong because they (largely) resist deformation
by the intercession of stretch. Programmed patterns of channels vary either
discretely through boundaries, or continuously. The former give rise to
facetted structures that are in effect non-isometric origami and which cannot
unfold as in conventional folded structures, since they present localized angle
deficit or surplus. Continuous variation of channel direction in the form of
spirals is examined, giving rise to curved shells. We solve the inverse problem
consisting in finding a network of seam lines leading to a target axisymmetric
shape on inflation. They too have strength from the metric changes that have
been pneumatically driven, resistance to change being met with stretch and
hence high forces like typical shells .
| [
{
"created": "Thu, 26 Dec 2019 19:26:56 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Mar 2020 08:44:04 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Mar 2020 14:17:30 GMT",
"version": "v3"
}
] | 2021-03-17 | [
[
"Siéfert",
"Emmanuel",
""
],
[
"Warner",
"Mark",
""
]
] | 19 | [
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] | 1,225,321 |
1912.13426 | Sergey Chefranov | Sergey G. Chefranov | Dissipative instability of shock waves | Accepted in Journal of Experimental and Theoretical Physics (JETP),
vol.157, issue 3, 2020 | null | 10.1134/S1063776120030036 | null | physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A new condition for the linear dissipative instability of the strong plane
shock wave in an arbitrary medium is obtained. The instability of the shock is
realized due to the flow instability behind its front, which is similar to the
known dissipative instability in the boundary layer for the
Tollmien-Schlichting waves. It is found that within the limit of low viscosity
the one-dimensional longitudinal disturbances grow much faster than the
two-dimensional corrugation ones. It points to a better correspondence to
experiment of the new condition for the absolute instability of the shock in
comparison with theory, which does not take viscosity into account.
| [
{
"created": "Tue, 24 Dec 2019 09:16:22 GMT",
"version": "v1"
}
] | 2020-06-24 | [
[
"Chefranov",
"Sergey G.",
""
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] | 1,225,322 |
1912.13427 | Elisa Riccietti | Stefania Bellavia and Marco Donatelli and Elisa Riccietti | An inexact non stationary Tikhonov procedure for large-scale nonlinear
ill-posed problems | null | null | null | null | math.OC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we consider the stable numerical solution of large-scale
ill-posed nonlinear least squares problems with nonzero residual. We propose a
non-stationary Tikhonov method with inexact step computation, specially
designed for large-scale problems. At each iteration the method requires the
solution of an elliptical trust-region subproblem to compute the step. This
task is carried out employing a Lanczos approach, by which an approximated
solution is computed. The trust region radius is chosen to ensure the resulting
Tikhonov regularization parameter to satisfy a prescribed condition on the
model, which is proved to ensure regularizing properties to the method. The
proposed approach is tested on a parameter identification problem and on an
image registration problem, and it is shown to provide important computational
savings with respect to its exact counterpart.
| [
{
"created": "Tue, 31 Dec 2019 17:03:18 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jan 2020 11:50:03 GMT",
"version": "v2"
}
] | 2020-01-03 | [
[
"Bellavia",
"Stefania",
""
],
[
"Donatelli",
"Marco",
""
],
[
"Riccietti",
"Elisa",
""
]
] | 19 | [
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] | 1,225,323 |
1912.13428 | Deyu Lu | Matthew R. Carbone, Mehmet Topsakal, Deyu Lu, and Shinjae Yoo | Machine-Learning X-ray Absorption Spectra to Quantitative Accuracy | 6 pages, 3 figures and 1 table | Phys. Rev. Lett. 124, 156401 (2020) | 10.1103/PhysRevLett.124.156401 | null | cond-mat.mtrl-sci physics.comp-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The advent of massive data repositories has propelled machine learning
techniques to the front lines of many scientific fields, and exploring new
frontiers by leveraging the predictive power of machine learning will greatly
accelerate big data-assisted discovery. In this work, we show that graph-based
neural networks can be used to predict the near edge x-ray absorption structure
spectra of molecules with exceptional accuracy. The predicted spectra reproduce
nearly all the prominent peaks, with 90% of the predicted peak locations within
1 eV of the ground truth. Our study demonstrates that machine learning models
can achieve practically the same accuracy as first-principles calculations in
predicting complex physical quantities, such as spectral functions, but at a
fraction of the cost.
| [
{
"created": "Tue, 31 Dec 2019 17:05:54 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Feb 2020 19:26:59 GMT",
"version": "v2"
}
] | 2020-05-05 | [
[
"Carbone",
"Matthew R.",
""
],
[
"Topsakal",
"Mehmet",
""
],
[
"Lu",
"Deyu",
""
],
[
"Yoo",
"Shinjae",
""
]
] | 19 | [
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1912.13429 | Ryan Causey | R.M. Causey | $Sz(\cdot)\leqslant \omega^\xi$ is rarely a three space property | null | null | null | null | math.FA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove that for any non-zero, countable ordinal $\xi$ which is not
additively indecomposable, the property of having Szlenk index not exceeding
$\omega^\xi$ is not a three space property. This complements a result of
Brooker and Lancien, which states that if $\xi$ is additively indecomposable,
then having Szlenk index not exceeding $\omega^\xi$ is a three space property.
| [
{
"created": "Tue, 31 Dec 2019 17:09:14 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Causey",
"R. M.",
""
]
] | 19 | [
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] | 1,225,325 |
1912.13430 | Alberto Camacho | Alberto Camacho, Sheila A. McIlraith | Towards Neural-Guided Program Synthesis for Linear Temporal Logic
Specifications | null | null | null | null | cs.AI cs.FL cs.GT cs.LO cs.NE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Synthesizing a program that realizes a logical specification is a classical
problem in computer science. We examine a particular type of program synthesis,
where the objective is to synthesize a strategy that reacts to a potentially
adversarial environment while ensuring that all executions satisfy a Linear
Temporal Logic (LTL) specification. Unfortunately, exact methods to solve
so-called LTL synthesis via logical inference do not scale. In this work, we
cast LTL synthesis as an optimization problem. We employ a neural network to
learn a Q-function that is then used to guide search, and to construct programs
that are subsequently verified for correctness. Our method is unique in
combining search with deep learning to realize LTL synthesis. In our
experiments the learned Q-function provides effective guidance for synthesis
problems with relatively small specifications.
| [
{
"created": "Tue, 31 Dec 2019 17:09:49 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Camacho",
"Alberto",
""
],
[
"McIlraith",
"Sheila A.",
""
]
] | 19 | [
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] | 1,225,326 |
1912.13431 | Yanjun Ma | Yanjun Ma, Anthony Edgeton, Hanjong Paik, Brendan Faeth, Chris
Parzyck, Bet\"ul Pamuk, Shun-Li Shang, Zi-Kui Liu, Kyle M. Shen, Darrell G.
Schlom and Chang-Beom Eom | Realization of Epitaxial Thin Films of the Topological Crystalline
Insulator Sr$_3$SnO | null | null | null | null | cond-mat.mtrl-sci | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Topological materials are derived from the interplay between symmetry and
topology. Advances in topological band theories have led to the prediction that
the antiperovskite oxide Sr$_3$SnO is a topological crystalline insulator, a
new electronic phase of matter where the conductivity in its (001)
crystallographic planes is protected by crystallographic point group
symmetries. Realization of this material, however, is challenging. Guided by
thermodynamic calculations we design and implement a deposition approach to
achieve the adsorption-controlled growth of epitaxial Sr$_3$SnO single-crystal
films by molecular-beam epitaxy (MBE). In-situ transport and angle-resolved
photoemission spectroscopy measurements reveal the metallic and non-trivial
topological nature of the as-grown samples. Compared with conventional MBE, the
synthesis route used results in superior sample quality and is readily adapted
to other topological systems with antiperovskite structures. The successful
realization of thin films of topological crystalline insulators opens
opportunities to manipulate topological states by tuning symmetries via
epitaxial strain and heterostructuring.
| [
{
"created": "Tue, 31 Dec 2019 17:10:09 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Ma",
"Yanjun",
""
],
[
"Edgeton",
"Anthony",
""
],
[
"Paik",
"Hanjong",
""
],
[
"Faeth",
"Brendan",
""
],
[
"Parzyck",
"Chris",
""
],
[
"Pamuk",
"Betül",
""
],
[
"Shang",
"Shun-Li",
""
],
[
"Liu",
"Zi-Kui",
""
],
[
"Shen",
"Kyle M.",
""
],
[
"Schlom",
"Darrell G.",
""
],
[
"Eom",
"Chang-Beom",
""
]
] | 19 | [
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1912.13432 | Plamen Fiziev | Plamen P. Fiziev | New Results for Quasi Normal Modes of Gravitational Waves | 9 pages, 4 figures | null | null | SU-2019_11 | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We briefly consider the data of collaboration LIGO/VIRGO for gravitational
waves (GW) and the recent observations of Event Horizon Telescope (EHT), and we
discuss difficulties for finding the right theory of gravity and the nature of
the observed Extremely Compact Objects (ECOs). The only undisputable way to
establish existence of event horizon of ECOs, is the extraction of Quasi Normal
Modes (QNMs) from the ringing phase of the sources of GW. We present our method
for calculation of QNMs of GW in the Schwarzschild metric with different
boundary conditions. It is based on exact solutions of the Regge-Wheeler and
Zerilli equations in terms of the confluent Heun functions. We present also new
numerical results of high precision ($ \geq 16$ digits) for QNM frequencies. We
indicate the difficulties for comparison of theoretical results for QNMs with
the observations.
| [
{
"created": "Tue, 31 Dec 2019 17:10:21 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Fiziev",
"Plamen P.",
""
]
] | 19 | [
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] | 1,225,328 |
1912.13433 | Armita Nourmohammad | Armita Nourmohammad, Ceyhun Eksin | Optimal evolutionary control for artificial selection on molecular
phenotypes | null | Phys. Rev. X 11, 011044 (2021) | 10.1103/PhysRevX.11.011044 | null | q-bio.PE physics.bio-ph q-bio.QM | http://creativecommons.org/licenses/by/4.0/ | Controlling an evolving population is an important task in modern molecular
genetics, including directed evolution for improving the activity of molecules
and enzymes, in breeding experiments in animals and in plants, and in devising
public health strategies to suppress evolving pathogens. An optimal
intervention to direct evolution should be designed by considering its impact
over an entire stochastic evolutionary trajectory that follows. As a result, a
seemingly suboptimal intervention at a given time can be globally optimal as it
can open opportunities for desirable actions in the future. Here, we propose a
feedback control formalism to devise globally optimal artificial selection
protocol to direct the evolution of molecular phenotypes. We show that
artificial selection should be designed to counter evolutionary tradeoffs among
multi-variate phenotypes to avoid undesirable outcomes in one phenotype by
imposing selection on another. Control by artificial selection is challenged by
our ability to predict molecular evolution. We develop an information
theoretical framework and show that molecular time-scales for evolution under
natural selection can inform how to monitor a population in order to acquire
sufficient predictive information for an effective intervention with artificial
selection. Our formalism opens a new avenue for devising artificial selection
methods for directed evolution of molecular functions.
| [
{
"created": "Tue, 31 Dec 2019 17:11:19 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jan 2021 06:15:58 GMT",
"version": "v2"
}
] | 2021-03-10 | [
[
"Nourmohammad",
"Armita",
""
],
[
"Eksin",
"Ceyhun",
""
]
] | 19 | [
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] | 1,225,329 |
1912.13434 | Ariane Carrance | Ariane Carrance | Convergence of Eulerian triangulations | Version accepted for publication in EJP | Electron. J. Probab. 26: 1-48 (2021) | null | null | math.PR math-ph math.CO math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove that properly rescaled large planar Eulerian triangulations converge
to the Brownian map. This result requires more than a standard application of
the methods that have been used to obtain the convergence of other families of
planar maps to the Brownian map, as the natural distance for Eulerian
triangulations is a canonical oriented pseudo-distance. To circumvent this
difficulty, we adapt the layer decomposition method established by Curien and
Le Gall, which yields asymptotic proportionality between three natural
distances on planar Eulerian triangulations: the usual graph distance, the
canonical oriented pseudo-distance, and the Riemannian metric. This notably
gives the first mathematical proof of a convergence to the Brownian map for
maps endowed with their Riemannian metric. Along the way, we also construct new
models of infinite random maps, as local limits of large planar Eulerian
triangulations.
| [
{
"created": "Tue, 31 Dec 2019 17:12:09 GMT",
"version": "v1"
},
{
"created": "Tue, 4 May 2021 12:01:53 GMT",
"version": "v2"
}
] | 2021-05-05 | [
[
"Carrance",
"Ariane",
""
]
] | 19 | [
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] | 1,225,330 |
1912.13435 | Walter Goldberger | Walter D. Goldberger, Ira Z. Rothstein | An Effective Field Theory of Quantum Mechanical Black Hole Horizons | 20 pages LaTeX, 5 figures | null | 10.1007/JHEP04(2020)056 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop an effective theory which describes black holes with quantum
mechanical horizons that is valid at scales long compared to the Schwarzschild
radius but short compared to the lifetime of the black hole. Our formalism
allows one to calculate the quantum mechanical effects in scattering processes
involving black hole asymptotic states. We point out that the EFT Wightman
functions which describe Hawking radiation in the Unruh vacuum are not Planck
suppressed and are actually {\it enhanced} relative to those in the Boulware
vacuum, for which such radiation is absent. We elaborate on this point showing
how the non-Planck suppressed effects of Hawking radiation cancel in classical
observables.
| [
{
"created": "Tue, 31 Dec 2019 17:12:39 GMT",
"version": "v1"
}
] | 2020-05-20 | [
[
"Goldberger",
"Walter D.",
""
],
[
"Rothstein",
"Ira Z.",
""
]
] | 19 | [
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] | 1,225,331 |
1912.13436 | Gabriele Liga Dr | Gabriele Liga, Bin Chen, Sjoerd van der Heide, Alireza Sheikh, Menno
van der Hout, Chigo Okonkwo, and Alex Alvarado | 30% Reach Increase via Low-complexity Hybrid HD/SD FEC and
Nonlinearity-tolerant 4D Modulation | This work has been submitted to IEEE Photonics Technology Letters | null | 10.1109/LPT.2020.2995636 | null | eess.SP cs.IT math.IT | http://creativecommons.org/licenses/by/4.0/ | Current optical coherent transponders technology is driving data rates
towards 1 Tb/s/{\lambda}and beyond. This trend requires both high-performance
coded modulation schemes and efficient implementation of the
forward-error-correction (FEC) decoder. A possible solution to this problem is
combining advanced multidimensional modulation formats with low-complexity
hybrid HD/SD FEC decoders. Following this rationale, in this paper we combine
two recently introduced coded modulation techniques:the geometrically-shaped
4D-64 polarization ring-switched and the soft-aided bit-marking-scaled
reliability decoder. This joint scheme enabled us to experimentally demonstrate
the transmission of 11x218 Gbit/s channels over transatlantic distances at
5.2bit/4D-sym. Furthermore, a 30% reach increase is demonstrated over PM-8QAM
and conventional HD-FEC decoding for product codes.
| [
{
"created": "Tue, 31 Dec 2019 17:16:23 GMT",
"version": "v1"
}
] | 2020-07-15 | [
[
"Liga",
"Gabriele",
""
],
[
"Chen",
"Bin",
""
],
[
"van der Heide",
"Sjoerd",
""
],
[
"Sheikh",
"Alireza",
""
],
[
"van der Hout",
"Menno",
""
],
[
"Okonkwo",
"Chigo",
""
],
[
"Alvarado",
"Alex",
""
]
] | 19 | [
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] | 1,225,332 |
1912.13437 | Andreas Veeser | Peter Binev, Francesca Fierro, and Andreas Veeser | Near-best adaptive approximation on conforming meshes | 18 pages, 2 figures | null | 10.1007/s00365-022-09612-2 | null | math.NA cs.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We devise a generalization of tree approximation that generates conforming
meshes, i.e., meshes with a particular structure like edge-to-edge
triangulations. A key feature of this generalization is that the choices of the
cells to be subdivided are affected by that particular structure. As main
result, we prove near best approximation with respect to conforming meshes,
independent of constants like the completion constant for newest-vertex
bisection. Numerical experiments complement the theoretical results and
indicate better approximation properties than previous approaches.
| [
{
"created": "Tue, 31 Dec 2019 17:16:48 GMT",
"version": "v1"
}
] | 2023-01-26 | [
[
"Binev",
"Peter",
""
],
[
"Fierro",
"Francesca",
""
],
[
"Veeser",
"Andreas",
""
]
] | 19 | [
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1912.13438 | Sabyasachi Mukherjee | Russell Lodge, Mikhail Lyubich, Sergei Merenkov, and Sabyasachi
Mukherjee | On Dynamical Gaskets Generated by Rational Maps, Kleinian Groups, and
Schwarz Reflections | 54 pages, 14 figures, final accepted version | Conform. Geom. Dyn., 27:1-54, 2023 | 10.1090/ecgd/379 | Stony Brook IMS #2019/08 | math.DS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | According to the Circle Packing Theorem, any triangulation of the Riemann
sphere can be realized as a nerve of a circle packing. Reflections in the dual
circles generate a Kleinian group $H$ whose limit set is an Apollonian-like
gasket $\Lambda_H$. We design a surgery that relates $H$ to a rational map $g$
whose Julia set $\mathcal{J}_g$ is (non-quasiconformally) homeomorphic to
$\Lambda_H$. We show for a large class of triangulations, however, the groups
of quasisymmetries of $\Lambda_H$ and $\mathcal{J}_g$ are isomorphic and
coincide with the corresponding groups of self-homeomorphisms. Moreover, in the
case of $H$, this group is equal to the group of M\"obius symmetries of
$\Lambda_H$, which is the semi-direct product of $H$ itself and the group of
M\"obius symmetries of the underlying circle packing. In the case of the
tetrahedral triangulation (when $\Lambda_ H$ is the classical Apollonian
gasket), we give a piecewise affine model for the above actions which is
quasiconformally equivalent to $g$ and produces $H$ by a David surgery. We also
construct a mating between the group and the map coexisting in the same
dynamical plane and show that it can be generated by Schwarz reflections in the
deltoid and the inscribed circle.
| [
{
"created": "Tue, 31 Dec 2019 17:18:11 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Feb 2023 14:44:26 GMT",
"version": "v2"
}
] | 2023-02-07 | [
[
"Lodge",
"Russell",
""
],
[
"Lyubich",
"Mikhail",
""
],
[
"Merenkov",
"Sergei",
""
],
[
"Mukherjee",
"Sabyasachi",
""
]
] | 19 | [
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] | 1,225,334 |
1912.13439 | Philippe G. LeFloch | Yangyang Cao, Mohammad A. Ghazizadeh, and Philippe G. LeFloch | Asymptotic structure of cosmological fluid flows in one and two space
dimensions: a numerical study | 41 pages | Commun. Appl. Math. Comput. Sci. 17 (2022) 79-129 | 10.2140/camcos.2022.17.79 | null | math.AP cs.NA math.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider an isothermal compressible fluid evolving on a cosmological
background which may be either expanding or contracting toward the future. The
Euler equations governing such a flow consist of two nonlinear hyperbolic
balance laws which we treat in one and in two space dimensions. We design a
finite volume scheme which is fourth-order accurate in time and second-order
accurate in space. This scheme allows us to compute weak solutions containing
shock waves and, by design, is well-balanced in the sense that it preserves
exactly a special class of solutions. Using this scheme, we investigate the
asymptotic structure of the fluid when the time variable approaches infinity
(in the expanding regime) or approaches zero (in the contracting regime). We
study these two limits by introducing a suitable rescaling of the density and
velocity variables and, in turn, we analyze the effects induced by the
geometric terms (of expanding or contracting nature) and the nonlinear
interactions between shocks. Extensive numerical experiments in one and in two
space dimensions are performed in order to support our observations.
| [
{
"created": "Tue, 31 Dec 2019 17:18:18 GMT",
"version": "v1"
}
] | 2022-10-12 | [
[
"Cao",
"Yangyang",
""
],
[
"Ghazizadeh",
"Mohammad A.",
""
],
[
"LeFloch",
"Philippe G.",
""
]
] | 19 | [
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] | 1,225,335 |
1912.13440 | Vidhi Lalchand Miss | Vidhi Lalchand and Carl Edward Rasmussen | Approximate Inference for Fully Bayesian Gaussian Process Regression | Presented at 2nd Symposium on Advances in Approximate Bayesian
Inference 2019 | Proceedings of Machine Learning Research, Volume 118 (2019) 1-12 | null | null | stat.ML cs.LG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Learning in Gaussian Process models occurs through the adaptation of
hyperparameters of the mean and the covariance function. The classical approach
entails maximizing the marginal likelihood yielding fixed point estimates (an
approach called \textit{Type II maximum likelihood} or ML-II). An alternative
learning procedure is to infer the posterior over hyperparameters in a
hierarchical specification of GPs we call \textit{Fully Bayesian Gaussian
Process Regression} (GPR). This work considers two approximation schemes for
the intractable hyperparameter posterior: 1) Hamiltonian Monte Carlo (HMC)
yielding a sampling-based approximation and 2) Variational Inference (VI) where
the posterior over hyperparameters is approximated by a factorized Gaussian
(mean-field) or a full-rank Gaussian accounting for correlations between
hyperparameters. We analyze the predictive performance for fully Bayesian GPR
on a range of benchmark data sets.
| [
{
"created": "Tue, 31 Dec 2019 17:18:48 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Apr 2020 14:22:14 GMT",
"version": "v2"
}
] | 2020-04-07 | [
[
"Lalchand",
"Vidhi",
""
],
[
"Rasmussen",
"Carl Edward",
""
]
] | 19 | [
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] | 1,225,336 |
1912.13441 | David Skinner | Roland Bittleston, David Skinner | Gauge Theory and Boundary Integrability II: Elliptic and Trigonometric
Case | 32 pages, 6 figures | null | 10.1007/JHEP06(2020)080 | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the mixed topological-holomorphic Chern-Simons theory introduced
by Costello, Yamazaki and Witten on a $\mathbb{Z}_2$ orbifold. We use this to
construct semi-classical solutions of the boundary Yang-Baxter equation in the
elliptic and trigonometric cases. A novel feature of the trigonometric case is
that the $\mathbb{Z}_2$ action lifts to the gauge bundle in a $z$-dependent
way. We construct several examples of $K$-matrices, and check they agree with
cases appearing in the literature.
| [
{
"created": "Tue, 31 Dec 2019 17:19:47 GMT",
"version": "v1"
}
] | 2020-07-15 | [
[
"Bittleston",
"Roland",
""
],
[
"Skinner",
"David",
""
]
] | 19 | [
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] | 1,225,337 |
1912.13442 | Deep Jariwala | Huiqin Zhang, Bhaskar Abhiraman, Qing Zhang, Jinshui Miao, Kiyoung Jo,
Stefano Roccasecca, Mark W. Knight, Artur R. Davoyan, Deep Jariwala | Hybrid Exciton-Plasmon-Polaritons in van der Waals Semiconductor
Gratings | 5 figures in manuscript | null | 10.1038/s41467-020-17313-2 | null | cond-mat.mes-hall cond-mat.mtrl-sci physics.app-ph physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Van der Waals materials and heterostructures manifesting strongly bound room
temperature exciton states exhibit emergent physical phenomena and are of a
great promise for optoelectronic applications. Here, we demonstrate that
nanostructured multilayer transition metal dichalcogenides by themselves
provide an ideal platform for excitation and control of excitonic modes, paving
the way to exciton-photonics. Hence, we show that by patterning the TMDCs into
nanoresonators, strong dispersion and avoided crossing of excitons and hybrid
polaritons with interaction potentials exceeding 410 meV may be controlled with
great precision. We further observe that inherently strong TMDC exciton
absorption resonances may be completely suppressed due to excitation of hybrid
photon states and their interference. Our work paves the way to a next
generation of integrated exciton optoelectronic nano-devices and applications
in light generation, computing, and sensing.
| [
{
"created": "Tue, 31 Dec 2019 17:20:59 GMT",
"version": "v1"
}
] | 2020-09-09 | [
[
"Zhang",
"Huiqin",
""
],
[
"Abhiraman",
"Bhaskar",
""
],
[
"Zhang",
"Qing",
""
],
[
"Miao",
"Jinshui",
""
],
[
"Jo",
"Kiyoung",
""
],
[
"Roccasecca",
"Stefano",
""
],
[
"Knight",
"Mark W.",
""
],
[
"Davoyan",
"Artur R.",
""
],
[
"Jariwala",
"Deep",
""
]
] | 19 | [
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] | 1,225,338 |
1912.13443 | Ryan Causey | M. Brixey, R.M. Causey, P. Frankart | Uniform subsequential estimates on weakly null sequences | null | Involve 14 (2021) 743-774 | 10.2140/involve.2021.14.743 | null | math.FA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a generalization of two results of Knaust and Odell from
\cite{KO2} and \cite{KO}. We prove that if $X$ is a Banach space and
$(g_n)_{n=1}^\infty$ is a right dominant Schauder basis such that every
normalized, weakly null sequence in $X$ admits a subsequence dominated by a
subsequence of $(g_n)_{n=1}^\infty$, then there exists a constant $C$ such that
every normalized, weakly null sequence in $X$ admits a subsequence
$C$-dominated by a subsequence of $(g_n)_{n=1}^\infty$. We also prove that if
every spreading model generated by a normalized, weakly null sequence in $X$ is
dominated by some spreading model generated by a subsequence of
$(g_n)_{n=1}^\infty$, then there exists $C$ such that every spreading model
generated by a normalized, weakly null sequence in $X$ is $C$-dominated by
every spreading model generated by a subsequence of $(g_n)_{n=1}^\infty$. We
also prove a single, ordinal-quantified result which unifies and interpolates
between these two results.
| [
{
"created": "Tue, 31 Dec 2019 17:21:02 GMT",
"version": "v1"
}
] | 2022-03-09 | [
[
"Brixey",
"M.",
""
],
[
"Causey",
"R. M.",
""
],
[
"Frankart",
"P.",
""
]
] | 19 | [
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] | 1,225,339 |
1912.13444 | Anatoly Dymarsky | Anatoly Dymarsky, Kirill Pavlenko, and Dmitry Solovyev | Zero modes of local operators in 2d CFT on a cylinder | 20 pages | J. High Energ. Phys. 2020, 172 (2020) | 10.1007/JHEP07(2020)172 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Studies of Eigenstate Thermalization Hypothesis (ETH) in two-dimensional CFTs
call for calculation of the expectation values of local operators in highly
excited energy eigenstates. This can be done efficiently by representing zero
modes of these operators in terms of the Virasoro algebra generators. In this
paper we present a pedagogical introduction explaining how this calculation can
be performed analytically or using computer algebra. We illustrate the
computation of zero modes by a number of examples and list explicit expressions
for all local operators from the vacuum family with the dimension of less or
equal than eight. Finally, we derive an explicit expression for the quantum KdV
generator $Q_7$ in terms of the Virasoro algebra generators. The obtained
results can be used for quantitative studies of ETH at finite value of central
charge.
| [
{
"created": "Tue, 31 Dec 2019 17:22:32 GMT",
"version": "v1"
}
] | 2020-07-27 | [
[
"Dymarsky",
"Anatoly",
""
],
[
"Pavlenko",
"Kirill",
""
],
[
"Solovyev",
"Dmitry",
""
]
] | 19 | [
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] | 1,225,340 |
1912.13445 | Krishna Pillutla | Krishna Pillutla, Sham M. Kakade, Zaid Harchaoui | Robust Aggregation for Federated Learning | null | IEEE Transactions on Signal Processing 70 (2022): 1142-1154 | 10.1109/TSP.2022.3153135 | null | stat.ML cs.CR cs.LG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Federated learning is the centralized training of statistical models from
decentralized data on mobile devices while preserving the privacy of each
device. We present a robust aggregation approach to make federated learning
robust to settings when a fraction of the devices may be sending corrupted
updates to the server. The approach relies on a robust aggregation oracle based
on the geometric median, which returns a robust aggregate using a constant
number of iterations of a regular non-robust averaging oracle. The robust
aggregation oracle is privacy-preserving, similar to the non-robust secure
average oracle it builds upon. We establish its convergence for least squares
estimation of additive models. We provide experimental results with linear
models and deep networks for three tasks in computer vision and natural
language processing. The robust aggregation approach is agnostic to the level
of corruption; it outperforms the classical aggregation approach in terms of
robustness when the level of corruption is high, while being competitive in the
regime of low corruption. Two variants, a faster one with one-step robust
aggregation and another one with on-device personalization, round off the
paper.
| [
{
"created": "Tue, 31 Dec 2019 17:24:41 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jan 2022 05:25:59 GMT",
"version": "v2"
}
] | 2023-08-04 | [
[
"Pillutla",
"Krishna",
""
],
[
"Kakade",
"Sham M.",
""
],
[
"Harchaoui",
"Zaid",
""
]
] | 19 | [
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] | 1,225,341 |
1912.13446 | Alessio Conte | Alessio Conte, Andrea Marino, Roberto Grossi, Takeaki Uno, Luca
Versari | Proximity Search For Maximal Subgraph Enumeration | A preliminary version of this work appeared in STOC 2019:
https://dl.acm.org/doi/10.1145/3313276.3316402 | null | null | null | cs.DS | http://creativecommons.org/licenses/by/4.0/ | This paper proposes a new general technique for maximal subgraph enumeration
which we call proximity search, whose aim is to design efficient enumeration
algorithms for problems that could not be solved by existing frameworks. To
support this claim and illustrate the technique we include output-polynomial
algorithms for several problems for which output-polynomial algorithms were not
known, including the enumeration of Maximal Bipartite Subgraphs, Maximal
k-Degenerate Subgraphs (for bounded k), Maximal Induced Chordal Subgraphs, and
Maximal Induced Trees. Using known techniques, such as reverse search, the
space of all maximal solutions induces an implicit directed graph called
"solution graph" or "supergraph", and solutions are enumerated by traversing
it; however, nodes in this graph can have exponential out-degree, thus
requiring exponential time to be spent on each solution. The novelty of
proximity search is a formalization that allows us to define a better solution
graph, and a technique, which we call canonical reconstruction, by which we can
exploit the properties of given problems to build such graphs. This results in
solution graphs whose nodes have significantly smaller (i.e., polynomial)
out-degree with respect to existing approaches, but that remain strongly
connected, so that all solutions can be enumerated in polynomial delay by a
traversal. A drawback of this approach is the space required to keep track of
visited solutions, which can be exponential: we further propose a technique to
induce a parent-child relationship among solutions and achieve polynomial space
when suitable conditions are met.
| [
{
"created": "Tue, 31 Dec 2019 17:29:54 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jul 2020 15:11:50 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Aug 2021 14:34:34 GMT",
"version": "v3"
}
] | 2021-08-19 | [
[
"Conte",
"Alessio",
""
],
[
"Marino",
"Andrea",
""
],
[
"Grossi",
"Roberto",
""
],
[
"Uno",
"Takeaki",
""
],
[
"Versari",
"Luca",
""
]
] | 19 | [
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] | 1,225,342 |
1912.13447 | Yin-Ting Liao | Steven Soojin Kim, Yin-Ting Liao, Kavita Ramanan | An asymptotic thin shell condition and large deviations for random
multidimensional projections | 51 pages. The original version introduces LDPs under Assumption A*
(verified for product measures, $\ell_p^n$ balls with $p > 2$, and Gibbs
measures). This update verifies Assumption A* for a class of Orlicz balls,
establishes general conditions Assumptions A, B, and C (which are verified
for $\ell_p^n$ balls with $p \in [1, 2)$), and introduces LDPs for norms in
the sublinear regime | null | null | null | math.PR math.FA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Consider the projection of an $n$-dimensional random vector onto a random
$k_n$-dimensional basis, $k_n \leq n$, drawn uniformly from the Haar measure on
the Stiefel manifold of orthonormal $k_n$-frames in $\mathbb{R}^n$, in three
different asymptotic regimes as $n \rightarrow \infty$: "constant" ($k_n=k$),
"sublinear" ($k_n \rightarrow \infty$ but $k_n/n \rightarrow 0$) and "linear"
$k_n/n \rightarrow \lambda$ with $0 < \lambda \le 1$). When the sequence of
random vectors satisfies a certain "asymptotic thin shell condition", we
establish annealed large deviation principles (LDPs) for the corresponding
sequence of random projections in the constant regime, and for the sequence of
empirical measures of the coordinates of the random projections in the
sublinear and linear regimes. We also establish LDPs for certain scaled
$\ell_q$ norms of the random projections in these different regimes. Moreover,
we verify our assumptions for various sequences of random vectors of interest,
including those distributed according to Gibbs measures with superquadratic
interaction potential, or the uniform measure on suitably scaled $\ell_p^n$
balls, for $p \in [1,\infty)$, and generalized Orlicz balls defined via a
superquadratic function. Our results complement the central limit theorem for
convex sets and related results which are known to hold under a "thin shell"
condition. These results also substantially extend existing large deviation
results for random projections, which are first, restricted to the setting of
measures on $\ell_p^n$ balls, and secondly, limited to univariate LDPs (i.e.,
in $\mathbb{R}$) involving either the norm of a $k_n$-dimensional projection or
the projection of $X^{(n)}$ onto a random one-dimensional subspace. Random
projections of high-dimensional random vectors are of interest in a range of
fields including asymptotic convex geometry and high-dimensional statistics.
| [
{
"created": "Tue, 31 Dec 2019 17:32:45 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Jun 2020 13:42:51 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Oct 2021 14:46:01 GMT",
"version": "v3"
}
] | 2021-10-28 | [
[
"Kim",
"Steven Soojin",
""
],
[
"Liao",
"Yin-Ting",
""
],
[
"Ramanan",
"Kavita",
""
]
] | 19 | [
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] | 1,225,343 |
1912.13448 | Loris Maria Cangemi | G. De Filippis, A. de Candia, L.M. Cangemi, M. Sassetti, R. Fazio and
V. Cataudella | Quantum Phase Transitions in the Spin-Boson model: MonteCarlo Method vs
Variational Approach a la Feynman | null | null | 10.1103/PhysRevB.101.180408 | null | cond-mat.stat-mech cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The effectiveness of the variational approach a la Feynman is proved in the
spin-boson model, i.e. the simplest realization of the Caldeira-Leggett model
able to reveal the quantum phase transition from delocalized to localized
states and the quantum dissipation and decoherence effects induced by a heat
bath. After exactly eliminating the bath degrees of freedom, we propose a
trial, non local in time, interaction between the spin and itself simulating
the coupling of the two level system with the bosonic bath. It stems from an
Hamiltonian where the spin is linearly coupled to a finite number of harmonic
oscillators whose frequencies and coupling strengths are variationally
determined. We show that a very limited number of these fictitious modes is
enough to get a remarkable agreement, up to very low temperatures, with the
data obtained by using an approximation-free Monte Carlo approach, predicting:
1) in the Ohmic regime, a Beretzinski-Thouless-Kosterlitz quantum phase
transition exhibiting the typical universal jump at the critical value; 2) in
the sub-Ohmic regime ($s \leq 0.5$), mean field quantum phase transitions, with
logarithmic corrections for $s=0.5$.
| [
{
"created": "Tue, 31 Dec 2019 17:34:41 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jan 2020 08:36:49 GMT",
"version": "v2"
}
] | 2020-06-24 | [
[
"De Filippis",
"G.",
""
],
[
"de Candia",
"A.",
""
],
[
"Cangemi",
"L. M.",
""
],
[
"Sassetti",
"M.",
""
],
[
"Fazio",
"R.",
""
],
[
"Cataudella",
"V.",
""
]
] | 19 | [
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] | 1,225,344 |
1912.13449 | Alexander Grant | \'Eanna \'E. Flanagan, Alexander M. Grant, Abraham I. Harte, David A.
Nichols | Persistent gravitational wave observables: Nonlinear plane wave
spacetimes | 24 pages, 1 figure, 1 table; v2: fixed typos, matches published
version | Phys. Rev. D 101, 104033 (2020) | 10.1103/PhysRevD.101.104033 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the first paper in this series, we introduced "persistent gravitational
wave observables" as a framework for generalizing the gravitational wave memory
effect. These observables are nonlocal in time and nonzero in the presence of
gravitational radiation. We defined three specific examples of persistent
observables: a generalization of geodesic deviation that allowed for arbitrary
acceleration, a holonomy observable involving a closed curve, and an observable
that can be measured using a spinning test particle. For linearized plane
waves, we showed that our observables could be determined just from one, two,
and three time integrals of the Riemann tensor along a central worldline, when
the observers follow geodesics. In this paper, we compute these three
persistent observables in nonlinear plane wave spacetimes, and we find that the
fully nonlinear observables contain effects that differ qualitatively from the
effects present in the observables at linear order. Many parts of these
observables can be determined from two functions, the transverse Jacobi
propagators, and their derivatives (for geodesic observers). These functions,
at linear order in the spacetime curvature, reduce to the one, two, and three
time integrals of the Riemann tensor mentioned above.
| [
{
"created": "Tue, 31 Dec 2019 17:43:23 GMT",
"version": "v1"
},
{
"created": "Tue, 19 May 2020 12:07:10 GMT",
"version": "v2"
}
] | 2020-05-20 | [
[
"Flanagan",
"Éanna É.",
""
],
[
"Grant",
"Alexander M.",
""
],
[
"Harte",
"Abraham I.",
""
],
[
"Nichols",
"David A.",
""
]
] | 19 | [
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] | 1,225,345 |
1912.13450 | Satoshi Okano | Naohiro Kanda and Satoshi Okano | A classical mechanical model of two interacting massless particles in de
Sitter space and its quantization | 7pages, main result and overall exposition significantly improved,
title changed, references added, version to be published in PLB | null | 10.1016/j.physletb.2021.136520 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | A conformally invariant model of two interacting massless particles in
Minkowski space was proposed by Casalbuoni and Gomis [1]. We generalize this
model to the case of de Sitter space from the perspective of geodesic distance,
in such a way that the resulting, generalized action reduces to the original
action in a limit that de Sitter radius goes to infinity. We analyze the
Hamiltonian formulation in accordance with Dirac's prescription for constrained
Hamiltonian systems and carry out its subsequent canonical quantization in
coordinate representation following DeWitt. As the result, we derive a
fourth-order differential wave equation for bilocal fields that, in the
infinite radius limit, reproduces one obtained in the original model for
Minkowski space case.
| [
{
"created": "Tue, 31 Dec 2019 17:44:54 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Jul 2021 13:47:25 GMT",
"version": "v2"
}
] | 2021-07-20 | [
[
"Kanda",
"Naohiro",
""
],
[
"Okano",
"Satoshi",
""
]
] | 19 | [
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] | 1,225,346 |
1912.13451 | Olin Shivers Third | Olin Shivers, Justin Slepak and Panagiotis Manolios | Introduction to Rank-polymorphic Programming in Remora (Draft) | 52 pages; fixes some errors in previous version | null | null | null | cs.PL cs.DC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Remora is a higher-order, rank-polymorphic array-processing programming
language, in the same general class of languages as APL and J. It is intended
for writing programs to be executed on parallel hardware.
We provide an example-driven introduction to the language, and its general
computational model, originally developed by Iverson for APL. We begin with
Dynamic Remora, a variant of the language with a dynamic type system (as in
Scheme or Lisp), to introduce the fundamental computational mechanisms of the
language, then shift to Explicitly Typed Remora, a variant of the language with
a static, dependent type system that permits the shape of the arrays being
computed to be captured at compile time.
This article can be considered an introduction to the general topic of the
rank-polymorphic array-processing computational model, above and beyond the
specific details of the Remora language.
We do not address the details of type inference in Remora, that is, the
assignment of explicit types to programs written without such annotations; this
is ongoing research.
| [
{
"created": "Tue, 31 Dec 2019 17:45:43 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jan 2020 06:33:42 GMT",
"version": "v2"
}
] | 2020-01-03 | [
[
"Shivers",
"Olin",
""
],
[
"Slepak",
"Justin",
""
],
[
"Manolios",
"Panagiotis",
""
]
] | 19 | [
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] | 1,225,347 |
1912.13452 | Jiri Borovec | Jiri Borovec | BIRL: Benchmark on Image Registration methods with Landmark validation | null | null | null | null | cs.CV cs.PF eess.IV | http://creativecommons.org/licenses/by-nc-sa/4.0/ | This report presents a generic image registration benchmark with automatic
evaluation using landmark annotations. The key features of the BIRL framework
are: easily extendable, performance evaluation, parallel experimentation,
simple visualisations, experiment's time-out limit, resuming unfinished
experiments. From the research practice, we identified and focused on these two
main use-cases: (a) comparison of user's (newly developed) method with some
State-of-the-Art (SOTA) methods on a common dataset and (b) experimenting SOTA
methods on user's custom dataset (which should contain landmark annotation).
Moreover, we present an integration of several standard image registration
methods aiming at biomedical imaging into the BIRL framework. This report also
contains experimental results of these SOTA methods on the CIMA dataset, which
is a dataset of Whole Slice Imaging (WSI) from histology/pathology containing
several multi-stain tissue samples from three tissue kinds. Source and results:
https://borda.github.io/BIRL
| [
{
"created": "Tue, 31 Dec 2019 17:50:12 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jan 2020 09:56:17 GMT",
"version": "v2"
}
] | 2020-01-22 | [
[
"Borovec",
"Jiri",
""
]
] | 19 | [
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] | 1,225,348 |
1912.13453 | Barbara Jasiulis-Go{\l}dyn | B.H. Jasiulis-Go{\l}dyn, J.K. Misiewicz, E. Omey, J. Weso{\l}owski | How exceptional is the extremal Kendall and Kendall-type convolution | null | null | null | null | math.PR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper deals with the generalized convolutions connected with the
Williamson transform and the maximum operation. We focus on such convolutions
which can define transition probabilities of renewal processes. They should be
monotonic since the described time or destruction does not go back, it should
admit existence of a distribution with a lack of memory property because the
analog of the Poisson process shall exist. Another valuable property is the
simplicity of calculating and inverting the corresponding generalized
characteristic function (in particular Williamson transform) so that the
technique of generalized characteristic function can be used in description of
our processes. The convex linear combination property (the generalized
convolution of two point measures is the convex combination of several fixed
measures), or representability (which means that the generalized convolution
can be easily written in the language of independent random variables) - they
also facilitate the modeling of real processes in that language.
We describe examples of generalized convolutions having the required
properties ranging from the maximum convolution and its simplest generalization
- the Kendall convolution (associated with the Williamson transform), up to the
most complicated here - Kingman convolution. It is novel approach to apply in
the extreme value theory. Stochastic representation of the Kucharczak-Urbanik
in the order statistics terms is proved, which open new paths to investigate
Archimedean copulas. This paper open the door to solve an old open problem of
the relationship between copulas and generalized convolutions mentioned by B.
Schweizer and A. Sklar in 1983. This indicates the path of further research
towards extremes and dependency modelling.
| [
{
"created": "Tue, 31 Dec 2019 17:50:14 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Oct 2020 10:24:40 GMT",
"version": "v2"
},
{
"created": "Fri, 26 Feb 2021 21:13:22 GMT",
"version": "v3"
},
{
"created": "Tue, 8 Feb 2022 10:31:29 GMT",
"version": "v4"
},
{
"created": "Fri, 15 Apr 2022 09:56:57 GMT",
"version": "v5"
},
{
"created": "Wed, 20 Apr 2022 10:40:04 GMT",
"version": "v6"
}
] | 2022-04-21 | [
[
"Jasiulis-Gołdyn",
"B. H.",
""
],
[
"Misiewicz",
"J. K.",
""
],
[
"Omey",
"E.",
""
],
[
"Wesołowski",
"J.",
""
]
] | 19 | [
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] | 1,225,349 |
1912.13454 | Alexander I. Bufetov | Alexander I. Bufetov | The sine-process has excess one | 57pages | null | null | null | math.PR math.DS math.FA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The main result of this paper is that almost every realization of the
sine-process with one particle removed is a uniqueness set for the Paley-Wiener
space; with two particles removed, a zero set for the Paley-Wiener space.
| [
{
"created": "Tue, 31 Dec 2019 17:50:23 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Bufetov",
"Alexander I.",
""
]
] | 19 | [
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1912.13455 | Christoph Treude | Sarah Nadi, Christoph Treude | Essential Sentences for Navigating Stack Overflow Answers | to appear as full paper at SANER 2020, the 27th IEEE International
Conference on Software Analysis, Evolution and Reengineering | null | null | null | cs.SE cs.CL cs.IR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Stack Overflow (SO) has become an essential resource for software
development. Despite its success and prevalence, navigating SO remains a
challenge. Ideally, SO users could benefit from highlighted navigational cues
that help them decide if an answer is relevant to their task and context. Such
navigational cues could be in the form of essential sentences that help the
searcher decide whether they want to read the answer or skip over it. In this
paper, we compare four potential approaches for identifying essential
sentences. We adopt two existing approaches and develop two new approaches
based on the idea that contextual information in a sentence (e.g., "if using
windows") could help identify essential sentences. We compare the four
techniques using a survey of 43 participants. Our participants indicate that it
is not always easy to figure out what the best solution for their specific
problem is, given the options, and that they would indeed like to easily spot
contextual information that may narrow down the search. Our quantitative
comparison of the techniques shows that there is no single technique sufficient
for identifying essential sentences that can serve as navigational cues, while
our qualitative analysis shows that participants valued explanations and
specific conditions, and did not value filler sentences or speculations. Our
work sheds light on the importance of navigational cues, and our findings can
be used to guide future research to find the best combination of techniques to
identify such cues.
| [
{
"created": "Tue, 31 Dec 2019 17:52:05 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Nadi",
"Sarah",
""
],
[
"Treude",
"Christoph",
""
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] | 1,225,351 |
1912.13456 | Xin An | Xin An, Gokce Basar, Mikhail Stephanov and Ho-Ung Yee | Fluctuation dynamics in a relativistic fluid with a critical point | 33 pages, 1 figure | Phys. Rev. C 102, 034901 (2020) | 10.1103/PhysRevC.102.034901 | null | hep-th cond-mat.stat-mech hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | To describe dynamics of bulk and fluctuations near the QCD critical point we
develop general relativistic fluctuation formalism for a fluid carrying baryon
charge. Feedback of fluctuations modifies hydrodynamic coefficients including
bulk viscosity and conductivity and introduces nonlocal and non-instantaneous
terms in constitutive equations. We perform necessary ultraviolet
(short-distance) renormalization to obtain cutoff independent deterministic
equations suitable for numerical implementation. We use the equations to
calculate the universal non-analytic small-frequency dependence of transport
coefficients due to fluctuations (long-time tails). Focusing on the critical
mode we show how this general formalism matches existing Hydro+ description of
fluctuations near the QCD critical point and nontrivially extends it inside and
outside of the critical region.
| [
{
"created": "Tue, 31 Dec 2019 17:55:41 GMT",
"version": "v1"
}
] | 2020-09-09 | [
[
"An",
"Xin",
""
],
[
"Basar",
"Gokce",
""
],
[
"Stephanov",
"Mikhail",
""
],
[
"Yee",
"Ho-Ung",
""
]
] | 19 | [
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] | 1,225,352 |
1912.13457 | Lingzhi Li | Lingzhi Li, Jianmin Bao, Hao Yang, Dong Chen, Fang Wen | FaceShifter: Towards High Fidelity And Occlusion Aware Face Swapping | Accepted to CVPR 2020 (Oral), generated dataset and project webpage:
lingzhili.com/FaceShifterPage/ | null | null | null | cs.CV | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we propose a novel two-stage framework, called FaceShifter, for
high fidelity and occlusion aware face swapping. Unlike many existing face
swapping works that leverage only limited information from the target image
when synthesizing the swapped face, our framework, in its first stage,
generates the swapped face in high-fidelity by exploiting and integrating the
target attributes thoroughly and adaptively. We propose a novel attributes
encoder for extracting multi-level target face attributes, and a new generator
with carefully designed Adaptive Attentional Denormalization (AAD) layers to
adaptively integrate the identity and the attributes for face synthesis. To
address the challenging facial occlusions, we append a second stage consisting
of a novel Heuristic Error Acknowledging Refinement Network (HEAR-Net). It is
trained to recover anomaly regions in a self-supervised way without any manual
annotations. Extensive experiments on wild faces demonstrate that our face
swapping results are not only considerably more perceptually appealing, but
also better identity preserving in comparison to other state-of-the-art
methods.
| [
{
"created": "Tue, 31 Dec 2019 17:57:46 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jun 2020 07:50:01 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Sep 2020 07:43:58 GMT",
"version": "v3"
}
] | 2020-09-16 | [
[
"Li",
"Lingzhi",
""
],
[
"Bao",
"Jianmin",
""
],
[
"Yang",
"Hao",
""
],
[
"Chen",
"Dong",
""
],
[
"Wen",
"Fang",
""
]
] | 19 | [
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] | 1,225,353 |
1912.13458 | Lingzhi Li | Lingzhi Li, Jianmin Bao, Ting Zhang, Hao Yang, Dong Chen, Fang Wen,
Baining Guo | Face X-ray for More General Face Forgery Detection | Accepted to CVPR 2020 (Oral) | null | null | null | cs.CV | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we propose a novel image representation called face X-ray for
detecting forgery in face images. The face X-ray of an input face image is a
greyscale image that reveals whether the input image can be decomposed into the
blending of two images from different sources. It does so by showing the
blending boundary for a forged image and the absence of blending for a real
image. We observe that most existing face manipulation methods share a common
step: blending the altered face into an existing background image. For this
reason, face X-ray provides an effective way for detecting forgery generated by
most existing face manipulation algorithms. Face X-ray is general in the sense
that it only assumes the existence of a blending step and does not rely on any
knowledge of the artifacts associated with a specific face manipulation
technique. Indeed, the algorithm for computing face X-ray can be trained
without fake images generated by any of the state-of-the-art face manipulation
methods. Extensive experiments show that face X-ray remains effective when
applied to forgery generated by unseen face manipulation techniques, while most
existing face forgery detection or deepfake detection algorithms experience a
significant performance drop.
| [
{
"created": "Tue, 31 Dec 2019 17:57:56 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Apr 2020 02:22:40 GMT",
"version": "v2"
}
] | 2020-04-21 | [
[
"Li",
"Lingzhi",
""
],
[
"Bao",
"Jianmin",
""
],
[
"Zhang",
"Ting",
""
],
[
"Yang",
"Hao",
""
],
[
"Chen",
"Dong",
""
],
[
"Wen",
"Fang",
""
],
[
"Guo",
"Baining",
""
]
] | 19 | [
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] | 1,225,354 |
1912.13459 | Andreas von Manteuffel | Tobias Huber, Andreas von Manteuffel, Erik Panzer, Robert M.
Schabinger, Gang Yang | The Four-Loop Cusp Anomalous Dimension from the $\mathcal{N} = 4$
Sudakov Form Factor | 13 pages | null | 10.1016/j.physletb.2020.135543 | MSUHEP-19-030, P3H-19-061 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an analytic derivation of the full four-loop cusp anomalous
dimension of $\mathcal{N}=4$ supersymmetric Yang-Mills theory from the Sudakov
form factor. To extract the cusp anomalous dimension, we calculate the
$\epsilon^{-2}$ pole of the form factor using parametric integrations of finite
integrals. We provide uniformly transcendental results for the master integrals
through to weight six and confirm a very recent independent analytic result for
the full four-loop cusp anomalous dimension of the $\mathcal{N}=4$ model.
| [
{
"created": "Tue, 31 Dec 2019 17:59:15 GMT",
"version": "v1"
}
] | 2020-06-10 | [
[
"Huber",
"Tobias",
""
],
[
"von Manteuffel",
"Andreas",
""
],
[
"Panzer",
"Erik",
""
],
[
"Schabinger",
"Robert M.",
""
],
[
"Yang",
"Gang",
""
]
] | 19 | [
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] | 1,225,355 |
1912.13460 | Xianglin Liu | Xianglin Liu and Jiaxin Zhang and Markus Eisenbach and Yang Wang | Machine Learning the Effective Hamiltonian in High Entropy Alloys | 8 Figures | null | null | null | cond-mat.mtrl-sci physics.comp-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The development of machine learning sheds new light on the problem of
statistical thermodynamics in multicomponent alloys. However, a data-driven
approach to construct the effective Hamiltonian requires sufficiently large
data sets, which is expensive to calculate with conventional density functional
theory (DFT). To solve this problem, we propose to use the atomic local energy
as the target variable, and harness the power of the linear-scaling DFT to
accelerate the data generating process. Using the large amounts of DFT data
sets, various complex models are devised and applied to learn the effective
Hamiltonians of a range of refractory high entropy alloys (HEAs). The testing
$R^2$ scores of the effective pair interaction model are higher than 0.99,
demonstrating that the pair interactions within the 6-th coordination shell
provide an excellent description of the atomic local energies for all the four
HEAs. This model is further improved by including nonlinear and multi-site
interactions. In particular, the deep neural networks (DNNs) built directly in
the local configuration space (therefore no hand-crafted features) are employed
to model the effective Hamiltonian. The results demonstrate that neural
networks are promising for the modeling of effective Hamiltonian due to its
excellent representation power.
| [
{
"created": "Tue, 31 Dec 2019 18:01:31 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Liu",
"Xianglin",
""
],
[
"Zhang",
"Jiaxin",
""
],
[
"Eisenbach",
"Markus",
""
],
[
"Wang",
"Yang",
""
]
] | 19 | [
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] | 1,225,356 |
1912.13461 | Anindya Harchowdhury | Anindya Harchowdhury, Lindsay Kleeman, Leena Vachhani | 3D Sensing of a Moving Object with a Nodding 2D LIDAR and Reconfigurable
Mirrors | null | null | null | null | cs.CV cs.RO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Perception in 3D has become standard practice for a large part of robotics
applications. High quality 3D perception is costly. Our previous work on a
nodding 2D Lidar provides high quality 3D depth information with low cost, but
the sparse data generated by this sensor poses challenges in understanding the
characteristics of moving objects within an uncertain environment. This paper
proposes a novel design of the nodding Lidar but provides dynamic
reconfigurability in terms of limiting the field of view of the sensor using a
set of optical mirrors. It not only provides denser scans, but it also achieves
a three times higher scan update rate. Additionally, we propose a novel
calibration mechanism for this sensor and prove its effectiveness for dynamic
object detection and tracking.
| [
{
"created": "Fri, 27 Dec 2019 10:22:26 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Harchowdhury",
"Anindya",
""
],
[
"Kleeman",
"Lindsay",
""
],
[
"Vachhani",
"Leena",
""
]
] | 19 | [
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] | 1,225,357 |
1912.13462 | {\DJ}or{\dj}e Radi\v{c}evi\'c | Djordje Radicevic | The Lattice-Continuum Correspondence in the Ising Model | 8 pages + appendices, v2: added some corrections, clarifications, and
references | null | null | BRX-TH-6661 | hep-th cond-mat.stat-mech cond-mat.str-el hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Starting from the operator algebra of the (1+1)D Ising model on a spatial
lattice, this paper explicitly constructs a subalgebra of smooth operators that
are natural candidates for continuum fields in the scaling limit. At the
critical value of the transverse field, these smooth operators are analytically
shown to reproduce the operator product expansions found in the Ising conformal
field theory.
| [
{
"created": "Tue, 31 Dec 2019 18:03:07 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Feb 2020 23:31:01 GMT",
"version": "v2"
}
] | 2020-02-04 | [
[
"Radicevic",
"Djordje",
""
]
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] | 1,225,358 |
1912.13463 | Kaizheng Wang | Kaizheng Wang | Some compact notations for concentration inequalities and user-friendly
results | 10 pages | null | null | null | math.ST cs.IT cs.LG math.IT math.PR stat.ML stat.TH | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper presents compact notations for concentration inequalities and
convenient results to streamline probabilistic analysis. The new expressions
describe the typical sizes and tails of random variables, allowing for simple
operations without heavy use of inessential constants. They bridge classical
asymptotic notations and modern non-asymptotic tail bounds together. Examples
of different kinds demonstrate their efficacy.
| [
{
"created": "Tue, 31 Dec 2019 18:03:19 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Apr 2020 17:57:14 GMT",
"version": "v2"
}
] | 2020-04-28 | [
[
"Wang",
"Kaizheng",
""
]
] | 19 | [
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1912.13464 | Aviral Kumar | Aviral Kumar, Sergey Levine | Model Inversion Networks for Model-Based Optimization | null | null | null | null | cs.LG stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we aim to solve data-driven optimization problems, where the
goal is to find an input that maximizes an unknown score function given access
to a dataset of inputs with corresponding scores. When the inputs are
high-dimensional and valid inputs constitute a small subset of this space
(e.g., valid protein sequences or valid natural images), such model-based
optimization problems become exceptionally difficult, since the optimizer must
avoid out-of-distribution and invalid inputs. We propose to address such
problem with model inversion networks (MINs), which learn an inverse mapping
from scores to inputs. MINs can scale to high-dimensional input spaces and
leverage offline logged data for both contextual and non-contextual
optimization problems. MINs can also handle both purely offline data sources
and active data collection. We evaluate MINs on tasks from the Bayesian
optimization literature, high-dimensional model-based optimization problems
over images and protein designs, and contextual bandit optimization from logged
data.
| [
{
"created": "Tue, 31 Dec 2019 18:06:49 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Kumar",
"Aviral",
""
],
[
"Levine",
"Sergey",
""
]
] | 19 | [
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] | 1,225,360 |
1912.13465 | Aviral Kumar | Aviral Kumar, Xue Bin Peng, Sergey Levine | Reward-Conditioned Policies | null | null | null | null | cs.LG stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Reinforcement learning offers the promise of automating the acquisition of
complex behavioral skills. However, compared to commonly used and
well-understood supervised learning methods, reinforcement learning algorithms
can be brittle, difficult to use and tune, and sensitive to seemingly innocuous
implementation decisions. In contrast, imitation learning utilizes standard and
well-understood supervised learning methods, but requires near-optimal expert
data. Can we learn effective policies via supervised learning without
demonstrations? The main idea that we explore in this work is that non-expert
trajectories collected from sub-optimal policies can be viewed as optimal
supervision, not for maximizing the reward, but for matching the reward of the
given trajectory. By then conditioning the policy on the numerical value of the
reward, we can obtain a policy that generalizes to larger returns. We show how
such an approach can be derived as a principled method for policy search,
discuss several variants, and compare the method experimentally to a variety of
current reinforcement learning methods on standard benchmarks.
| [
{
"created": "Tue, 31 Dec 2019 18:07:43 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Kumar",
"Aviral",
""
],
[
"Peng",
"Xue Bin",
""
],
[
"Levine",
"Sergey",
""
]
] | 19 | [
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] | 1,225,361 |
1912.13466 | John Ellis | U. Amaldi, E. Aslanides, R. Barate, C. Benvenuti, P. Bloch, T.
Camporesi, A. David, D. Denegri, M. Diemoz, L. Di Lella, G. Dissertori, N.
Doble, J. Dumarchez, J. Ellis, J. Engelen, C. Fabjan, B. Fuks, P. Gavillet,
A. Hoecker, J. Iliopoulos, P. Innocenti, W. Kozanecki, P. Lebrun, C.
Llewellyn Smith, C. Louren\c{c}o, L. Maiani, L. Malgeri, M. Mangano, F.
Moortgat, M. Mulders, S. Myers, F. Nessi-Tedaldi, L. Pape, F. Pauss, R.
Perin, T. Rodrigo, G. Rolandi, A. Schopper, J. Schukraft, M. Spiro, L. Sulak,
T. Taylor, D. Treille, G. Tonelli, G. Unal, F. Vannucci, J. Varela, T.
Virdee, R. Voss, R. Wallny, H. Wenninger, A. Zalewski-Bak, J. Zinn-Justin | Charting the European Course to the High-Energy Frontier | Contribution to the update of the European Strategy for Particle
Physics | null | null | null | hep-ex hep-ph physics.acc-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the capabilities of two projects that have been proposed as the
next major European facility, for consideration in the upcoming update of the
European Strategy for Particle Physics: CLIC and FCC. We focus on their physics
potentials and emphasise the key differences between the linear or circular
approaches. We stress the uniqueness of the FCC-ee programme for precision
electroweak physics at the $Z$ peak and the $WW$ threshold, as well as its
unequalled statistics for Higgs physics and high accuracy for observing
possible new phenomena in Higgs and $Z$ decays, whereas CLIC and FCC-ee offer
similar capabilities near the $t \overline t$ threshold. Whilst CLIC offers the
possibility of energy upgrades to 1500 and 3000 GeV, FCC-ee paves the way for
FCC-hh. The latter offers unique capabilities for making direct or indirect
discoveries in a new energy range, and has the highest sensitivity to the
self-couplings of the Higgs boson and any anomalous couplings. We consider the
FCC programme to be the best option to maintain Europe's place at the
high-energy frontier during the coming decades.
| [
{
"created": "Tue, 31 Dec 2019 18:08:19 GMT",
"version": "v1"
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1912.13467 | Alvaro Corral | Alvaro Corral and Isabel Serra | The brevity law as a scaling law, and a possible origin of Zipf's law
for word frequencies | Submitted to special issue on Information Theory and Language | Entropy 2020, 22(2), 224 | 10.3390/e22020224 | null | physics.soc-ph nlin.AO physics.data-an | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An important body of quantitative linguistics is constituted by a series of
statistical laws about language usage. Despite the importance of these
linguistic laws, some of them are poorly formulated, and, more importantly,
there is no unified framework that encompasses all them. This paper presents a
new perspective to establish a connection between different statistical
linguistic laws. Characterizing each word type by two random variables, length
(in number of characters) and absolute frequency, we show that the
corresponding bivariate joint probability distribution shows a rich and precise
phenomenology, with the type-length and the type-frequency distributions as its
two marginals, and the conditional distribution of frequency at fixed length
providing a clear formulation for the brevity-frequency phenomenon. The
type-length distribution turns out to be well fitted by a gamma distribution
(much better than with the previously proposed lognormal), and the conditional
frequency distributions at fixed length display power-law-decay behavior with a
fixed exponent $\alpha\simeq 1.4$ and a characteristic-frequency crossover that
scales as an inverse power $\delta\simeq 2.8$ of length, which implies the
fulfilment of a scaling law analogous to those found in the thermodynamics of
critical phenomena. As a by-product, we find a possible model-free explanation
for the origin of Zipf's law, which should arise as a mixture of conditional
frequency distributions governed by the crossover length-dependent frequency.
| [
{
"created": "Tue, 31 Dec 2019 18:09:39 GMT",
"version": "v1"
}
] | 2020-11-09 | [
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] | 1,225,363 |
1912.13468 | Adam Nahum | Adam Nahum | Note on Wess-Zumino-Witten models and quasiuniversality in 2+1
dimensions | 3 pages, 2 figures | null | 10.1103/PhysRevB.102.201116 | null | cond-mat.str-el cond-mat.stat-mech hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We suggest the possibility that the two-dimensional SU(2)$_k$
Wess-Zumino-Witten (WZW) theory, which has global SO(4) symmetry, can be
continued to $2+\epsilon$ dimensions by enlarging the symmetry to
SO$(4+\epsilon)$. This is motivated by the three-dimensional sigma model with
SO(5) symmetry and a WZW term, which is relevant to deconfined criticality. If
such a continuation exists, the structure of the renormalization group flows at
small $\epsilon$ may be fixed by assuming analyticity in $\epsilon$. This leads
to the conjecture that the WZW fixed point annihilates with a new, unstable
fixed point at a critical dimensionality $d_c>2$. We suggest that $d_c < 3$ for
all $k$, and we compute $d_c$ in the limit of large $k$. The flows support the
conjecture that the deconfined phase transition in SU(2) magnets is a
``pseudocritical'' point with approximate SO(5), controlled by a fixed point
slightly outside the physical parameter space.
| [
{
"created": "Tue, 31 Dec 2019 18:12:06 GMT",
"version": "v1"
}
] | 2020-12-30 | [
[
"Nahum",
"Adam",
""
]
] | 19 | [
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] | 1,225,364 |
1912.13469 | Cong Chen | Cong Chen (Student Member, IEEE), Ye Guo (Senior Member, IEEE), and
Lang Tong (Fellow, IEEE) | Pricing Multi-Interval Dispatch under Uncertainty Part II:
Generalization and Performance | 13 pages, 18 figures, transaction journal paper | null | null | null | eess.SY cs.SY | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Pricing multi-interval economic dispatch of electric power under operational
uncertainty is considered in this two-part paper. Part I investigates
dispatch-following incentives for generators under the locational marginal
pricing (LMP) and temporal locational marginal pricing (TLMP) policies.
Extending the theoretical results developed in Part I, Part II evaluates a
broader set of performance measures under a general network model. For networks
with power flow constraints, TLMP is shown to have an energy-congestion-ramping
price decomposition. Under the one-shot dispatch and pricing model, this
decomposition leads to a nonnegative merchandising surplus equal to the sum of
congestion and ramping surpluses. It is also shown that, comparing with LMP,
TLMP imposes a penalty on generators with limited ramping capabilities, thus
giving incentives for generators to reveal their ramping limits truthfully and
improve their ramping capacities. Several benchmark pricing mechanisms are
evaluated under the rolling-window dispatch and pricing models. The performance
measures considered are the level of out-of-the-market uplifts, the revenue
adequacy of the system operator, consumer payment, generator profit, level of
discriminative payment, and price volatility.
| [
{
"created": "Tue, 31 Dec 2019 18:13:06 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Jun 2020 04:35:54 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Oct 2020 04:09:12 GMT",
"version": "v3"
},
{
"created": "Mon, 28 Dec 2020 05:22:36 GMT",
"version": "v4"
}
] | 2020-12-29 | [
[
"Chen",
"Cong",
"",
"Student Member, IEEE"
],
[
"Guo",
"Ye",
"",
"Senior Member, IEEE"
],
[
"Tong",
"Lang",
"",
"Fellow, IEEE"
]
] | 19 | [
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] | 1,225,365 |
1912.13470 | Haoshu Fang | Hao-Shu Fang, Chenxi Wang, Minghao Gou, Cewu Lu | GraspNet: A Large-Scale Clustered and Densely Annotated Dataset for
Object Grasping | Report for our recent work | null | null | null | cs.CV cs.RO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Object grasping is critical for many applications, which is also a
challenging computer vision problem. However, for the clustered scene, current
researches suffer from the problems of insufficient training data and the
lacking of evaluation benchmarks. In this work, we contribute a large-scale
grasp pose detection dataset with a unified evaluation system. Our dataset
contains 87,040 RGBD images with over 370 million grasp poses. Meanwhile, our
evaluation system directly reports whether a grasping is successful or not by
analytic computation, which is able to evaluate any kind of grasp poses without
exhausted labeling pose ground-truth. We conduct extensive experiments to show
that our dataset and evaluation system can align well with real-world
experiments. Our dataset, source code and models will be made publicly
available.
| [
{
"created": "Tue, 31 Dec 2019 18:15:11 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jan 2020 03:49:58 GMT",
"version": "v2"
}
] | 2020-01-03 | [
[
"Fang",
"Hao-Shu",
""
],
[
"Wang",
"Chenxi",
""
],
[
"Gou",
"Minghao",
""
],
[
"Lu",
"Cewu",
""
]
] | 19 | [
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] | 1,225,366 |
1912.13471 | Yaniv Benny | Yaniv Benny and Lior Wolf | OneGAN: Simultaneous Unsupervised Learning of Conditional Image
Generation, Foreground Segmentation, and Fine-Grained Clustering | To be published in the European Conference on Computer Vision (ECCV)
2020 | null | 10.1007/978-3-030-58574-7_31 | null | cs.CV | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a method for simultaneously learning, in an unsupervised manner,
(i) a conditional image generator, (ii) foreground extraction and segmentation,
(iii) clustering into a two-level class hierarchy, and (iv) object removal and
background completion, all done without any use of annotation. The method
combines a Generative Adversarial Network and a Variational Auto-Encoder, with
multiple encoders, generators and discriminators, and benefits from solving all
tasks at once. The input to the training scheme is a varied collection of
unlabeled images from the same domain, as well as a set of background images
without a foreground object. In addition, the image generator can mix the
background from one image, with a foreground that is conditioned either on that
of a second image or on the index of a desired cluster. The method obtains
state of the art results in comparison to the literature methods, when compared
to the current state of the art in each of the tasks.
| [
{
"created": "Tue, 31 Dec 2019 18:15:58 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Jul 2020 12:29:00 GMT",
"version": "v2"
}
] | 2020-11-03 | [
[
"Benny",
"Yaniv",
""
],
[
"Wolf",
"Lior",
""
]
] | 19 | [
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] | 1,225,367 |
1912.13472 | Shiyu Liang | Shiyu Liang, Ruoyu Sun and R. Srikant | Revisiting Landscape Analysis in Deep Neural Networks: Eliminating
Decreasing Paths to Infinity | null | null | null | null | cs.LG stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Traditional landscape analysis of deep neural networks aims to show that no
sub-optimal local minima exist in some appropriate sense. From this, one may be
tempted to conclude that descent algorithms which escape saddle points will
reach a good local minimum. However, basic optimization theory tell us that it
is also possible for a descent algorithm to diverge to infinity if there are
paths leading to infinity, along which the loss function decreases. It is not
clear whether for non-linear neural networks there exists one setting that no
bad local-min and no decreasing paths to infinity can be simultaneously
achieved. In this paper, we give the first positive answer to this question.
More specifically, for a large class of over-parameterized deep neural networks
with appropriate regularizers, the loss function has no bad local minima and no
decreasing paths to infinity. The key mathematical trick is to show that the
set of regularizers which may be undesirable can be viewed as the image of a
Lipschitz continuous mapping from a lower-dimensional Euclidean space to a
higher-dimensional Euclidean space, and thus has zero measure.
| [
{
"created": "Tue, 31 Dec 2019 18:17:34 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Liang",
"Shiyu",
""
],
[
"Sun",
"Ruoyu",
""
],
[
"Srikant",
"R.",
""
]
] | 19 | [
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] | 1,225,368 |
1912.13473 | Peiyi Cui | Peiyi Cui | Modulo $\ell$-representations of $p$-adic groups $\mathrm{SL_n}(F)$ | 61 pages | null | null | null | math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Let $k$ be an algebraically closed field of characteristic $l\neq p$. We
construct maximal simple cuspidal $k$-types of Levi subgroups $\mathrm{M}'$ of
$\mathrm{SL}_n(F)$, when $F$ is a non-archimedean locally compact field of
residual characteristic $p$. We show that the supercuspidal support of
irreducible smooth $k$-representations of Levi subgroups $\mathrm{M}'$ of
$\mathrm{SL}_n(F)$ is unique up to $\mathrm{M}'$-conjugation, when $F$ is
either a finite field of characteristic $p$ or a non-archimedean locally
compact field of residual characteristic $p$.
| [
{
"created": "Tue, 31 Dec 2019 18:18:16 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Cui",
"Peiyi",
""
]
] | 19 | [
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] | 1,225,369 |
1912.13474 | Jun Nian | Jun Nian | Kerr Black Hole Evaporation and Page Curve | 12 pages, 16 figures | null | null | LCTP-19-38 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the black hole entropy and the entanglement entropy of Hawking
radiations due to photons during the evaporation of a 4d asymptotically flat
Kerr black hole. The Page curve for the Kerr black hole is obtained, which
qualitatively mimics the one for the Schwarzschild black hole but has some new
features.
| [
{
"created": "Tue, 31 Dec 2019 18:20:29 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Nian",
"Jun",
""
]
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] | 1,225,370 |
1912.13475 | Thomas T. Dumitrescu | Clay Cordova, Thomas T. Dumitrescu, Kenneth Intriligator | ${\cal N}=(1,0)$ Anomaly Multiplet Relations in Six Dimensions | 41 pages | null | 10.1007/JHEP07(2020)065 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider conformal and 't Hooft anomalies in six-dimensional ${\cal
N}=(1,0)$ superconformal field theories, focusing on those conformal anomalies
that determine the two- and three-point functions of conserved flavor and
$SU(2)_R$ currents, as well as stress tensors. By analyzing these correlators
in superspace, we explain why the number of independent conformal anomalies is
reduced in supersymmetric theories. For instance, non-supersymmetric CFTs in
six dimensions have three independent conformal $c$-anomalies, which determine
the stress-tensor two- and three-point functions, but in superconformal
theories the three $c$-anomalies are subject to a linear constraint. We also
describe anomaly multiplet relations, which express the conformal anomalies of
a superconformal theory in terms of its 't Hooft anomalies. Following earlier
work on the conformal $a$-anomaly, we argue for these relations by considering
the supersymmetric dilaton effective action on the tensor branch of such a
theory. We illustrate the utility of these anomaly multiplet relations by
presenting exact results for conformal anomalies, and hence current and
stress-tensor correlators, in several interacting examples.
| [
{
"created": "Tue, 31 Dec 2019 18:26:20 GMT",
"version": "v1"
}
] | 2020-08-26 | [
[
"Cordova",
"Clay",
""
],
[
"Dumitrescu",
"Thomas T.",
""
],
[
"Intriligator",
"Kenneth",
""
]
] | 19 | [
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1912.13476 | Karapet Mkrtchyan | Stefan Fredenhagen, Olaf Kr\"uger and Karapet Mkrtchyan | Restrictions for $n$-Point Vertices in Higher-Spin Theories | 35 pages, 1 figure, minor changes in v2: clarification added on
two-dimensions, references added, to appear in JHEP | null | 10.1007/JHEP06(2020)118 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a simple classification of the independent $n$-point interaction
vertices for bosonic higher-spin gauge fields in $d$-dimensional Minkowski
space-times. We first give a characterisation of such vertices for large
dimensions, $d \geq 2n - 1$, where one does not have to consider Schouten
identities due to over-antisymmetrisation of space-time indices. When the
dimension is lowered, such identities have to be considered, but their
appearance only leads to equivalences of large-$d$ vertices and does not lead
to new types of vertices. We consider the case of low dimensions, $d<n$, in
detail, where the large number of Schouten identities leads to strong
restrictions on independent vertices. We also comment on the generalisation of
our results to the intermediate case $n \leq d \leq 2n - 2$. In all cases, the
independent vertices are expressed in terms of elementary manifestly
gauge-invariant quantities, suggesting that no deformations of the gauge
transformations are induced.
| [
{
"created": "Tue, 31 Dec 2019 18:26:46 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jun 2020 17:23:47 GMT",
"version": "v2"
}
] | 2020-07-15 | [
[
"Fredenhagen",
"Stefan",
""
],
[
"Krüger",
"Olaf",
""
],
[
"Mkrtchyan",
"Karapet",
""
]
] | 19 | [
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1912.13477 | Tarmo Uustalu | Shin-ya Katsumata, Exequiel Rivas and Tarmo Uustalu | Interaction laws of monads and comonads | null | null | null | null | cs.LO cs.PL math.CT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce and study functor-functor and monad-comonad interaction laws as
mathematical objects to describe interaction of effectful computations with
behaviors of effect-performing machines. Monad-comonad interaction laws are
monoid objects of the monoidal category of functor-functor interaction laws. We
show that, for suitable generalizations of the concepts of dual and Sweedler
dual, the greatest functor resp. monad interacting with a given functor or
comonad is its dual while the greatest comonad interacting with a given monad
is its Sweedler dual. We relate monad-comonad interaction laws to stateful
runners. We show that functor-functor interaction laws are Chu spaces over the
category of endofunctors taken with the Day convolution monoidal structure.
Hasegawa's glueing endows the category of these Chu spaces with a monoidal
structure whose monoid objects are monad-comonad interaction laws.
| [
{
"created": "Tue, 31 Dec 2019 18:27:22 GMT",
"version": "v1"
}
] | 2020-01-03 | [
[
"Katsumata",
"Shin-ya",
""
],
[
"Rivas",
"Exequiel",
""
],
[
"Uustalu",
"Tarmo",
""
]
] | 19 | [
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] | 1,225,373 |
1912.13478 | Amir Haji-Akbari | Sarwar Hussain and Amir Haji-Akbari | Studying Rare Events using Forward-Flux Sampling: Recent Breakthroughs
and Future Outlook | 56 pages, 33 figures | null | 10.1063/1.5127780 | null | cond-mat.stat-mech cond-mat.mtrl-sci | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Rare events are processes that occur upon the emergence of unlikely
fluctuations. Unlike what their name suggests, rare events are fairly
ubiquitous in nature, as the occurrence of many structural transformations in
biology and material sciences is predicated upon crossing large free energy
barriers. Probing the kinetics and uncovering the molecular mechanisms of
possible barrier crossings in a system is critical to predicting and
controlling its structural and functional properties. Due to their activated
nature, however, rare events are exceptionally difficult to study using
conventional experimental and computational techniques. In recent decades, a
wide variety of specialized computational techniques-- known as advanced
sampling techniques-- have been developed to systematically capture improbable
fluctuations relevant to rare events. In this perspective, we focus on a
technique called forward flux sampling (Allen~\emph{et al.,}~\emph{J. Chem.
Phys.}, {\bf 124}: 024102, 2006), and overview its recent methodological
variants and extensions. We also provide a detailed overview of its application
to study a wide variety of rare events, and map out potential avenues for
further explorations.
| [
{
"created": "Sun, 3 Nov 2019 06:31:19 GMT",
"version": "v1"
}
] | 2020-02-26 | [
[
"Hussain",
"Sarwar",
""
],
[
"Haji-Akbari",
"Amir",
""
]
] | 19 | [
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1912.13479 | Shankar Kumar Selvaraja | Purnima Sethi and Shankar Kumar Selvaraja | Alignment Tolerant Broadband Compact Taper for Low-Loss Coupling to a
Silicon-on-Insulator Photonic Wire Waveguide | arXiv admin note: substantial text overlap with arXiv:1705.01698 | Appl. Opt. 58, 6222-6227 (2019) | 10.1364/AO.58.006222 | null | physics.app-ph physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We experimentally demonstrate a broadband, fabrication tolerant, CMOS
compatible compact silicon waveguide taper (34.2 um) in silicon-on-insulator
wire waveguides. The taper works on multi-mode interference along the length of
the taper. A single taper design has a broadband operation with coupling
efficiency >70% over 700 nm that can be used in O, C and L-band. The compact
taper is highly tolerant to fabrication variations; >100 nm change in the taper
and end waveguide width varies the taper transmission by <5%. The footprint of
the device i.e. taper along with the linear gratings is ~ 442 m2; i.e. 11.5X
smaller than the adiabatic taper. The taper with linear gratings provides
comparable coupling efficiency as standardly used focusing gratings. We have
also compared the translational and rotational alignment tolerance of the
focusing grating with the linear grating.
| [
{
"created": "Wed, 27 Nov 2019 16:13:03 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Sethi",
"Purnima",
""
],
[
"Selvaraja",
"Shankar Kumar",
""
]
] | 19 | [
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] | 1,225,375 |
1912.13480 | Aleksander Wieczorek | Aleksander Wieczorek and Volker Roth | On the Difference Between the Information Bottleneck and the Deep
Information Bottleneck | null | null | 10.3390/e22020131 | null | cs.LG cs.IT math.IT stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Combining the Information Bottleneck model with deep learning by replacing
mutual information terms with deep neural nets has proved successful in areas
ranging from generative modelling to interpreting deep neural networks. In this
paper, we revisit the Deep Variational Information Bottleneck and the
assumptions needed for its derivation. The two assumed properties of the data
$X$, $Y$ and their latent representation $T$ take the form of two Markov chains
$T-X-Y$ and $X-T-Y$. Requiring both to hold during the optimisation process can
be limiting for the set of potential joint distributions $P(X,Y,T)$. We
therefore show how to circumvent this limitation by optimising a lower bound
for $I(T;Y)$ for which only the latter Markov chain has to be satisfied. The
actual mutual information consists of the lower bound which is optimised in
DVIB and cognate models in practice and of two terms measuring how much the
former requirement $T-X-Y$ is violated. Finally, we propose to interpret the
family of information bottleneck models as directed graphical models and show
that in this framework the original and deep information bottlenecks are
special cases of a fundamental IB model.
| [
{
"created": "Tue, 31 Dec 2019 18:31:42 GMT",
"version": "v1"
}
] | 2020-02-19 | [
[
"Wieczorek",
"Aleksander",
""
],
[
"Roth",
"Volker",
""
]
] | 19 | [
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] | 1,225,376 |
1912.13481 | George Palasantzas | Z. Babamahdi, V. B. Svetovoy, M. Enache, M. Stohr, and G. Palasantzas | Comparison of Casimir forces and electrostatics from conductive SiC-Si/C
and Ru surfaces | 25 pages, 6 figures | null | 10.1103/PhysRevB.100.245422 | null | physics.app-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Comprehensive knowledge of Casimir forces and associated electrostatics from
conductive SiC and Ru surfaces can be essential in diverse areas ranging from
micro/nanodevice operation in harsh environments to multilayer coatings in
advanced lithography technologies. Hence, the Casimir force was measured
between an Au-coated microsphere and N-doped SiC samples with Si- and
C-terminated faces, and the results were compared with the measurements using
the same microsphere and a metallic Ruthenium surface. Electrostatic
calibration showed that the Si- and C-faces behave differently with a nearly
~0.6-0.7 V difference in the contact potentials V0Si/C. We attribute this to a
higher incorporation of N on the C-terminated face in the near surface region
resulting in the formation of NOx and an increased work function compared to
the Si-terminated surface which is in agreement with x-ray photoelectron
spectroscopy data. Notably, the contact potential of the SiC-C face was closer
to the metallic Ru-Au system. However, the measured optical properties of the
SiC-Si/C terminated surfaces with ellipsometry did not show any substantial
differences indicating that the effective depth of the Si/C terminating surface
layers are significantly smaller than the photon penetration depth not leading
to any differences in the calculated forces via Lifshitz theory. Nonetheless,
the measured Casimir forces, after compensation of the electrostatics
contributions, showed differences between the Si/C faces, whereas the
comparison with the Lifshitz theory prediction shows better agreement for the
SiC-Si face. Finally, comparison of the Casimir forces below 40 nm separations
between the SiC-Si/C and Ru surfaces indicated that the short-range roughness
effects on the Casimir force increase in magnitude with increasing metallic
behavior of the plate surface.
| [
{
"created": "Wed, 4 Dec 2019 20:27:12 GMT",
"version": "v1"
}
] | 2020-01-29 | [
[
"Babamahdi",
"Z.",
""
],
[
"Svetovoy",
"V. B.",
""
],
[
"Enache",
"M.",
""
],
[
"Stohr",
"M.",
""
],
[
"Palasantzas",
"G.",
""
]
] | 19 | [
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] | 1,225,377 |
1912.13482 | Mikhail Zubkov Dr | Xi Wu, M.A.Zubkov | Quantum Hall conductivity in the presence of interactions | Latex, 8 pages | null | null | null | cond-mat.mes-hall cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss quantum Hall effect in the presence of arbitrary pair interactions
between electrons. It is shown that irrespective of the interaction strength
the Hall conductivity is given by the filling fraction of Landau levels
averaged over the ground state of the system. This conclusion remains valid for
both integer and fractional quantum Hall effect.
| [
{
"created": "Tue, 31 Dec 2019 18:36:41 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Jan 2020 00:17:55 GMT",
"version": "v2"
}
] | 2020-01-20 | [
[
"Wu",
"Xi",
""
],
[
"Zubkov",
"M. A.",
""
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] | 1,225,378 |
1912.13483 | Radmila Sazdanovic | Radmila Sazdanovic, Victor Summers | Torsion in the Magnitude homology of graphs | null | null | null | null | math.CO math.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Magnitude homology is a bigraded homology theory for finite graphs defined by
Hepworth and Willerton, categorifying the power series invariant known as
magnitude which was introduced by Leinster. We analyze the structure and
implications of torsion in magnitude homology. We show that any finitely
generated abelian group may appear as a subgroup of the magnitude homology of a
graph, and, in particular, that torsion of a given prime order can appear in
the magnitude homology of a graph and that there are infinitely many such
graphs. Finally, we provide complete computations of magnitude homology of
outerplanar graphs and focus on the ranks of the groups along the main diagonal
of magnitude homology.
| [
{
"created": "Tue, 31 Dec 2019 18:37:39 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Sazdanovic",
"Radmila",
""
],
[
"Summers",
"Victor",
""
]
] | 19 | [
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1912.13484 | Zhengliang Liang | Zheng-Liang Liang, Lin Zhang, Fawei Zheng, and Ping Zhang | Describing Migdal effects in diamond crystal with atom-centered
localized Wannier functions | latest version | Phys. Rev. D 102, 043007 (2020) | 10.1103/PhysRevD.102.043007 | null | cond-mat.mes-hall hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent studies have theoretically investigated the atomic excitation and
ionization induced by the dark matter (DM)-nucleus scattering, and it is found
that the suddenly recoiled atom is much more likely to excite or lose its
electrons than expected. Such phenomenon is called the "Migdal effect". In this
paper, we extend the established strategy to describe the Migdal effect in
isolated atoms to the case in semiconductors under the framework of
tight-binding (TB) approximation. Since the localized aspects of electrons are
respected in form of the Wannier functions (WFs), the extension of the existing
Migdal approach for isolated atoms is much more natural, while the extensive
nature of electrons in solids is reflected in the hopping integrals. We take
diamond target as a concrete proof of principle for the methodology, and
calculate relevant energy spectra and projected sensitivity of such diamond
detector. It turns out that our method as a preliminary attempt is practically
effective.
| [
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{
"created": "Wed, 1 Jan 2020 07:52:40 GMT",
"version": "v2"
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{
"created": "Wed, 26 Aug 2020 15:14:20 GMT",
"version": "v3"
}
] | 2020-08-27 | [
[
"Liang",
"Zheng-Liang",
""
],
[
"Zhang",
"Lin",
""
],
[
"Zheng",
"Fawei",
""
],
[
"Zhang",
"Ping",
""
]
] | 19 | [
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] | 1,225,380 |
1912.13485 | Juven C. Wang | Juven Wang, Shing-Tung Yau | Non-Abelian Gauged Fracton Matter Field Theory: New Sigma Models,
Superfluids and Vortices | 28 pages. Sequel to: arXiv:1909.13879, arXiv:1911.01804. Dedicated to
the 70 year anniversary of Ginzburg-Landau theory [Zh. Ekaper. Teoret. Fiz.
20, 1064 (1950)] in 2020. Accepted by Physical Review Research | Phys. Rev. Research 2, 043219 (2020) | 10.1103/PhysRevResearch.2.043219 | null | cond-mat.str-el hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By gauging a higher-moment polynomial degree global symmetry and a discrete
charge conjugation (i.e., particle-hole) symmetry coupled to matter fields (two
symmetries mutually non-commutative), we derive a new class of higher-rank
tensor non-abelian gauge field theory with dynamically gauged fractonic matter
fields: Non-abelian gauged fractons interact with a hybrid class of higher-rank
(symmetric or generic non-symmetric) tensor gauge theory and anti-symmetric
tensor topological field theory, generalizing [arXiv:1909.13879, 1911.01804].
We also apply a quantum phase transition similar to that between insulator v.s.
superfluid/superconductivity (U(1) symmetry disordered phase described by a
topological gauge theory or a disordered Sigma model v.s. U(1) global/gauge
symmetry-breaking ordered phase described by a Sigma model with a U(1) target
space underlying Goldstone modes): We can regard our tensor gauge theories as
disordered phases, and we transient to their new ordered phases by deriving new
Sigma models in continuum field theories. While one low energy theory is
captured by degrees of freedom of rotor or scalar modes, another side of low
energy theory has vortices and superfluids -- we explore non-abelian vortices
(two types of vortices mutually interacting non-commutatively beyond an
ordinary group structure) and their Cauchy-Riemann relation.
| [
{
"created": "Tue, 31 Dec 2019 18:40:00 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Oct 2020 13:59:59 GMT",
"version": "v2"
}
] | 2020-11-13 | [
[
"Wang",
"Juven",
""
],
[
"Yau",
"Shing-Tung",
""
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1912.13486 | Hee-Joong Chung | Hee-Joong Chung | Index for a Model of 3d-3d Correspondence for Plumbed 3-Manifolds | 21 pages, 3 figures, v2 minor revisions, published version | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the $S^2 \times_q S^1$ supersymmetric index of a 3d
$\mathcal{N}=2$ theory $T[M_3]$ when $M_3$ is a plumbed 3-manifold. We engineer
an effective description of $T[M_3]$ from the expression of the homological
block for plumbed 3-manifolds as a $D^2 \times_q S^1$ partition function of a
3d $\mathcal{N}=2$ theory $T[M_3]$ with a boundary condition. We check that the
supersymmetric index for such a $T[M_3]$ is invariant under the 3d Kirby moves.
| [
{
"created": "Tue, 31 Dec 2019 18:41:35 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Mar 2021 11:58:50 GMT",
"version": "v2"
}
] | 2021-03-23 | [
[
"Chung",
"Hee-Joong",
""
]
] | 19 | [
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1912.13487 | Toshiko Kojita | Toshiko Kojita | Winding number for arbitrary integer value in Cubic String Field Theory | 28 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have focused on the topological structure of Cubic string field theory
(CSFT). From the similarity of action between CSFT and Chern-Simons (CS) theory
in three dimensions, we have investigated the quantity ${\cal N}=\pi^2/3\int
(UQU^{-1})^3$, which is expected to be the counterpart of winding number in CS
theory. In our previous research, it was reported that $\cal N$ can only take a
limited number of integer values due to the inevitable anomalies in Okawa type
solution. To overcome this unsatisfactory results, we evaluate $\cal N$ and EOM
against a solution itself, $\cal T$, for more general class of pure gauge form
solution written in $K,B$ and $c$ in this paper. Then we obtain general formula
of $\cal N$ and $\cal T$. From this result, we show that there is an infinite
number of solutions that $\cal N$ takes any integer value while keeping $\cal
T=0$. We also show the gauge invariant observable of these solutions take
appropriate values. Furthermore, we evaluate the integral form of the
BRST-exact quantity as surface integral.
| [
{
"created": "Tue, 31 Dec 2019 18:42:26 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Kojita",
"Toshiko",
""
]
] | 19 | [
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] | 1,225,383 |
1912.13488 | Garv Chauhan | K. S. Babu, Garv Chauhan, P. S. Bhupal Dev | Neutrino Non-Standard Interactions via Light Scalars in the Earth, Sun,
Supernovae and the Early Universe | 36 pages, 7 figures, 2 Tables, minor changes; version published in
PRD | Phys. Rev. D 101, 095029 (2020) | 10.1103/PhysRevD.101.095029 | OSU-HEP-19-11 | hep-ph astro-ph.CO hep-ex | http://creativecommons.org/licenses/by/4.0/ | Non-standard interactions (NSI) of neutrinos with matter mediated by a scalar
field would induce medium-dependent neutrino masses which can modify
oscillation probabilities. Generating observable effects requires an
ultra-light scalar mediator. We derive general expressions for the scalar NSI
using techniques of quantum field theory at finite density and temperature,
including the long-range force effects, and discuss various limiting cases
applicable to the neutrino propagation in different media, such as the Earth,
Sun, supernovae and early Universe. We also analyze various terrestrial and
space-based experimental constraints, as well as astrophysical and cosmological
constraints on these NSI parameters, applicable to either Dirac or Majorana
neutrinos. By combining all these constraints, we show that observable scalar
NSI effects, although precluded in terrestrial experiments, are still possible
in future solar and supernovae neutrino data, and in cosmological observations
such as cosmic microwave background and big bang nucleosynthesis data.
| [
{
"created": "Tue, 31 Dec 2019 18:45:02 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Feb 2020 02:38:09 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Jun 2020 01:46:25 GMT",
"version": "v3"
}
] | 2020-06-03 | [
[
"Babu",
"K. S.",
""
],
[
"Chauhan",
"Garv",
""
],
[
"Dev",
"P. S. Bhupal",
""
]
] | 19 | [
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] | 1,225,384 |
1912.13489 | Chi Xiong | Chi Xiong | Axionic excitation from QCD Condensate | 4 pages, double-column, no figures | null | null | null | hep-ph hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A complex order parameter is used for describing inhomogeneous quark
condensate and its phase is decomposed into a regular part and a singular part.
An emergent gauge symmetry is found to connect these two parts. The singular
part plays the role of an emergent gauge field while the regular part can be
considered as an axionic excitation, provided that the chromoelectric flux tube
is capable of inducing a vortex configuration in the quark condensate, with the
help of axial anomaly.
| [
{
"created": "Tue, 31 Dec 2019 18:45:24 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Xiong",
"Chi",
""
]
] | 19 | [
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] | 1,225,385 |
1912.13490 | Giovanni Granato G | Giovanni Granato and Gianluca Baldassarre | A Neurocomputational Account of Flexible Goal-directed Cognition and
Consciousness: The Goal-Aligning Representation Internal Manipulation Theory
(GARIM) | null | null | null | null | cs.AI cs.LG cs.NE q-bio.NC stat.ML | http://creativecommons.org/licenses/by/4.0/ | Goal-directed manipulation of representations is a key element of human
flexible behaviour, while consciousness is often related to several aspects of
higher-order cognition and human flexibility. Currently these two phenomena are
only partially integrated (e.g., see Neurorepresentationalism) and this (a)
limits our understanding of neuro-computational processes that lead conscious
states to produce flexible goal-directed behaviours, (b) prevents a
computational formalisation of conscious goal-directed manipulations of
representations occurring in the brain, and (c) inhibits the exploitation of
this knowledge for modelling and technological purposes. Addressing these
issues, here we extend our `three-component theory of flexible cognition' by
proposing the `Goal-Aligning Representations Internal Manipulation' (GARIM)
theory of conscious and flexible goal-directed cognition. The central idea of
the theory is that conscious states support the active manipulation of
goal-relevant internal representations (e.g., of world states, objects, and
action sequences) to make them more aligned with the pursued goals. This leads
to the generation of the knowledge which is necessary to face novel
situations/goals, thus increasing the flexibility of goal-directed behaviours.
The GARIM theory integrates key aspects of the main theories of consciousness
into the functional neuro-computational framework of goal-directed behaviour.
Moreover, it takes into account the subjective sensation of agency that
accompanies conscious goal-directed processes (`GARIM agency'). The proposal
has also implications for experimental studies on consciousness and clinical
aspects of conscious goal-directed behaviour. Finally, the GARIM theory benefit
technological fields such as autonomous robotics and machine learning (e.g.,
the manipulation process may describe the operations performed by systems based
on transformers).
| [
{
"created": "Tue, 31 Dec 2019 18:45:33 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Dec 2022 14:37:15 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Oct 2023 07:56:24 GMT",
"version": "v3"
},
{
"created": "Fri, 27 Oct 2023 12:08:01 GMT",
"version": "v4"
}
] | 2023-10-30 | [
[
"Granato",
"Giovanni",
""
],
[
"Baldassarre",
"Gianluca",
""
]
] | 19 | [
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] | 1,225,386 |
1912.13491 | Alessandra Gnecchi | Fabio Apruzzi, G. Bruno De Luca, Alessandra Gnecchi, Gabriele Lo
Monaco, Alessandro Tomasiello | On AdS$_7$ stability | 1+42 pages, 3 figures | null | 10.1007/JHEP07(2020)033 | CERN-TH-2019-232 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | AdS$_7$ supersymmetric solutions in type IIA have been classified, and they
are infinitely many. Moreover, every such solution has a non-supersymmetric
sister. In this paper, we study the perturbative and non-perturbative stability
of these non-supersymmetric solutions, focusing on cases without orientifolds.
Perturbatively, we first look at the KK spectrum of spin-2 excitations. This
does not exhibit instabilities, but it does show that there is no separation of
scales for either the BPS and the non-BPS case, thus proving for supersymmetric
AdS$_7$ a well-known recent conjecture. We then use 7d gauged supergravity and
a brane polarization computation to access part of the spectrum of KK scalars.
The result signals an instability for all non-supersymmetric solutions except
those that have a single D8 on each side. We finally look at non-perturbative
instabilities, and find that NS5 bubbles make these remaining solutions decay.
| [
{
"created": "Tue, 31 Dec 2019 18:46:10 GMT",
"version": "v1"
}
] | 2020-08-26 | [
[
"Apruzzi",
"Fabio",
""
],
[
"De Luca",
"G. Bruno",
""
],
[
"Gnecchi",
"Alessandra",
""
],
[
"Monaco",
"Gabriele Lo",
""
],
[
"Tomasiello",
"Alessandro",
""
]
] | 19 | [
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1912.13492 | Wenjie Ji | Wenjie Ji, Xiao-Gang Wen | Categorical symmetry and non-invertible anomaly in symmetry-breaking and
topological phase transitions | 27 pages, 7 figures, 1 table | Phys. Rev. Research 2, 033417 (2020) | 10.1103/PhysRevResearch.2.033417 | null | cond-mat.str-el hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For a zero-temperature Landau symmetry breaking transition in $n$-dimensional
space that completely breaks a finite symmetry $G$, the critical point at the
transition has the symmetry $G$. In this paper, we show that the critical point
also has a dual symmetry - a $(n-1)$-symmetry described by a higher group when
$G$ is Abelian or an algebraic $(n-1)$-symmetry beyond higher group when $G$ is
non-Abelian. In fact, any $G$-symmetric system can be viewed as a boundary of
$G$-gauge theory in one higher dimension. The conservation of gauge charge and
gauge flux in the bulk $G$-gauge theory gives rise to the symmetry and the dual
symmetry respectively. So any $G$-symmetric system actually has a larger
symmetry called categorical symmetry, which is a combination of the symmetry
and the dual symmetry. However, part (and only part) of the categorical
symmetry must be spontaneously broken in any gapped phase of the system, but
there exists a gapless state where the categorical symmetry is not
spontaneously broken. Such a gapless state corresponds to the usual critical
point of Landau symmetry breaking transition. The above results remain valid
even if we expand the notion of symmetry to include higher symmetries and
algebraic higher symmetries. Thus our result also applies to critical points
for transitions between topological phases of matter. In particular, we show
that there can be several critical points for the transition from the 3+1D
$Z_2$ gauge theory to a trivial phase. The critical point from Higgs
condensation has a categorical symmetry formed by a $Z_2$ 0-symmetry and its
dual - a $Z_2$ 2-symmetry, while the critical point of the confinement
transition has a categorical symmetry formed by a $Z_2$ 1-symmetry and its dual
- another $Z_2$ 1-symmetry.
| [
{
"created": "Tue, 31 Dec 2019 18:46:37 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jan 2020 02:42:18 GMT",
"version": "v2"
},
{
"created": "Sat, 30 May 2020 13:25:29 GMT",
"version": "v3"
},
{
"created": "Thu, 17 Sep 2020 22:09:00 GMT",
"version": "v4"
}
] | 2020-09-23 | [
[
"Ji",
"Wenjie",
""
],
[
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"Xiao-Gang",
""
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] | 1,225,388 |
1912.13493 | Melih Bastopcu | Melih Bastopcu and Sennur Ulukus | Age of Information for Updates with Distortion: Constant and
Age-Dependent Distortion Constraints | Submitted for publication | null | null | null | cs.IT cs.NI eess.SP math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider an information update system where an information receiver
requests updates from an information provider in order to minimize its age of
information. The updates are generated at the information provider
(transmitter) as a result of completing a set of tasks such as collecting data
and performing computations. We refer to this as the update generation process.
We model the $quality$ of an update as an increasing function of the processing
time spent while generating the update at the transmitter. In particular, we
use $distortion$ as a proxy for $quality$, and model distortion as a decreasing
function of processing time. Processing longer at the transmitter results in a
better quality (lower distortion) update, but it causes the update to age. We
determine the age-optimal policies for the update request times at the receiver
and the update processing times at the transmitter subject to a minimum
required quality (maximum allowed distortion) constraint on the updates. For
the required quality constraint, we consider the cases of constant maximum
allowed distortion constraints, as well as age-dependent maximum allowed
distortion constraints.
| [
{
"created": "Tue, 31 Dec 2019 18:46:43 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Apr 2020 17:53:04 GMT",
"version": "v2"
}
] | 2020-04-28 | [
[
"Bastopcu",
"Melih",
""
],
[
"Ulukus",
"Sennur",
""
]
] | 19 | [
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] | 1,225,389 |
1912.13494 | Oran Gannot | Oran Gannot | A frequency-domain analysis of inexact gradient methods | 42 pages; corrections and additional applications to accelerated
methods. To appear in Mathematical Programming | null | null | null | math.OC cs.LG cs.NA cs.SY eess.SY math.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study robustness properties of some iterative gradient-based methods for
strongly convex functions, as well as for the larger class of functions with
sector-bounded gradients, under a relative error model. Proofs of the
corresponding convergence rates are based on frequency-domain criteria for the
stability of nonlinear systems. Applications are given to inexact versions of
gradient descent and the Triple Momentum Method. To further emphasize the
usefulness of frequency-domain methods, we derive improved analytic bounds for
the convergence rate of Nesterov's accelerated method (in the exact setting) on
strongly convex functions.
| [
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"version": "v1"
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{
"created": "Mon, 10 May 2021 15:53:10 GMT",
"version": "v2"
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] | 1,225,390 |
1912.13495 | Ricardo Campos | Damien Calaque, Ricardo Campos and Joost Nuiten | Moduli problems for operadic algebras | Major reorganization of the paper in order to increase readability.
No change to main results, but some examples were added. To appear on JLMS | Journal of the LMS 106 (2022), no. 4, 3450-3544 | 10.1112/jlms.12666 | null | math.AT math.AG math.CT math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A theorem of Pridham and Lurie provides an equivalence between formal moduli
problems and Lie algebras in characteristic zero. We prove a generalization of
this correspondence, relating formal moduli problems parametrized by algebras
over a Koszul operad to algebras over its Koszul dual operad. In particular,
when the Lie algebra associated to a deformation problem is induced from a
pre-Lie structure it corresponds to a permutative formal moduli problem. As
another example we obtain a correspondence between operadic formal moduli
problems and augmented operads.
| [
{
"created": "Tue, 31 Dec 2019 18:48:07 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Feb 2020 14:53:33 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Jun 2022 14:59:24 GMT",
"version": "v3"
}
] | 2023-07-04 | [
[
"Calaque",
"Damien",
""
],
[
"Campos",
"Ricardo",
""
],
[
"Nuiten",
"Joost",
""
]
] | 19 | [
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] | 1,225,391 |
1912.13496 | Fabian Pauly | S. G. Bahoosh and M. A. Karimi and W. Belzig and E. Scheer and F.
Pauly | Influence of electron-vibration interactions on electronic current noise
of atomic and molecular junctions | 14 pages, 7 figures | null | null | null | cond-mat.mes-hall cond-mat.mtrl-sci | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an ab-initio method to simulate the current noise in the presence
of electron-vibration interactions in atomic and molecular junctions at finite
temperature. Using a combination of nonequilibrium Keldysh Green's function
techniques and density functional theory, we study the elastic and inelastic
contributions to electron current and shot noise within a wide range of
transmission values in systems exhibiting multiple electronic levels and
vibrational modes. Within our model we find the upper threshold, at which the
inelastic noise contribution changes sign, at a total transmission between
$\tau\approx 0.90$ and $0.95$ for gold contacts. This is higher than predicted
by the single-level Holstein model but in agreement with earlier experimental
observations. We support our theoretical studies by noise measurements on
single-atom gold contacts which confirm previous experiments but make use of a
new setup with strongly reduced complexity of electronic circuitry.
Furthermore, we identify 1,4-benzenedithiol connected to gold electrodes as a
system to observe the lower sign change, which we predict at around
$\tau\approx 0.2$. Finally, we discuss the influence of vibrational heating on
the current noise.
| [
{
"created": "Tue, 31 Dec 2019 18:48:14 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Bahoosh",
"S. G.",
""
],
[
"Karimi",
"M. A.",
""
],
[
"Belzig",
"W.",
""
],
[
"Scheer",
"E.",
""
],
[
"Pauly",
"F.",
""
]
] | 19 | [
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] | 1,225,392 |
1912.13497 | Yuhao Long | Yuhao Long, Jingcheng Wang, Jingyi Wang | Water Supply Prediction Based on Initialized Attention Residual Network | 7 pages, 4 figures. This work has been submitted to IFAC for possible
publication | null | null | null | cs.LG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Real-time and accurate water supply forecast is crucial for water plant.
However, most existing methods are likely affected by factors such as weather
and holidays, which lead to a decline in the reliability of water supply
prediction. In this paper, we address a generic artificial neural network,
called Initialized Attention Residual Network (IARN), which is combined with an
attention module and residual modules. Specifically, instead of continuing to
use the recurrent neural network (RNN) in time-series tasks, we try to build a
convolution neural network (CNN)to recede the disturb from other factors,
relieve the limitation of memory size and get a more credible results. Our
method achieves state-of-the-art performance on several data sets, in terms of
accuracy, robustness and generalization ability.
| [
{
"created": "Tue, 17 Dec 2019 10:59:44 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Long",
"Yuhao",
""
],
[
"Wang",
"Jingcheng",
""
],
[
"Wang",
"Jingyi",
""
]
] | 19 | [
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] | 1,225,393 |
1912.13498 | Monique Thual | Xavier Insou (Institut FOTON), Lionel Quetel, S\'ebastien Claudot,
Monique Thual (Institut FOTON) | Reliable Expanded Beam Connectors for Single Mode Optical Fiber Sensor
Applications in Harsh Environment | null | International Symposium on Reliability of optoelectronics System,
ISROS Toulouse, 2019,, Nov 2019, Toulouse, France | null | null | physics.app-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an expanded beam micro lens in standard single mode connectors,
compliant with harsh environment connections. Low Insertion loss, high return
loss and relaxed alignment tolerances compared with Single Mode Fiber (SMF) are
demonstrated in C and O band. We give one example of harsh environment optical
fiber sensor applications.
| [
{
"created": "Tue, 17 Dec 2019 11:19:37 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Insou",
"Xavier",
"",
"Institut FOTON"
],
[
"Quetel",
"Lionel",
"",
"Institut FOTON"
],
[
"Claudot",
"Sébastien",
"",
"Institut FOTON"
],
[
"Thual",
"Monique",
"",
"Institut FOTON"
]
] | 19 | [
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1912.13499 | Csilla Bujt\'as | Csilla Bujt\'as | Domination number of graphs with minimum degree five | 17 pages | null | null | null | math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove that for every graph $G$ on $n$ vertices and with minimum degree
five, the domination number $\gamma(G)$ cannot exceed $n/3$. The proof combines
an algorithmic approach and the discharging method. Using the same technique,
we provide a shorter proof for the known upper bound $4n/11$ on the domination
number of graphs of minimum degree four.
| [
{
"created": "Tue, 31 Dec 2019 18:49:36 GMT",
"version": "v1"
},
{
"created": "Fri, 15 May 2020 17:46:43 GMT",
"version": "v2"
}
] | 2020-05-18 | [
[
"Bujtás",
"Csilla",
""
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] | 1,225,395 |
1912.13500 | Adam Pfeifle | Adam Pfeifle and Marcelo A. Kuroda | Tunable Contact Resistance in Transition Metal Dichalcogenide Lateral
Heterojunctions | null | Phys. Rev. Materials 4, 024002 (2020) | 10.1103/PhysRevMaterials.4.024002 | null | cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Contact resistance of semiconducting transition metal dichalcogenides has
been shown to decrease in lateral heterojunctions formed with their metallic
phases but its origins remain elusive. Here we combine first principles and
quantum transport calculations to rationalize the contact resistance of these
structures in terms of phase, composition (WTe2, MoTe2, WSe2, and MoSe2), and
length of the channel. We find that charge injection in metallic
1T'-WTe2/1T'-MoTe2 junctions is nearly ideal as electrode Bloch states remain
delocalized through the channel. Mixtures of 1T' selenides and tellurides
depart from this scenario due to the momentum mismatch between states in the
lead and channel. In semiconducting channels, the large Schottky barriers
degrade the electrical contacts. Around band edges, contact resistance values
are about an order of magnitude lower than those obtained experimentally
suggesting that doping and phase-engineering could be employed to overcome this
issue. We predict that transport regime in these junctions shifts from
thermionic emission to tunneling for channels shorter than 3 nm at room
temperature. We also discuss the presence of states at the metal/semiconductor
interfaces. By underpinning mechanisms to control the contact resistance in
heterogeneous two-dimensional materials, this work proves valuable towards the
development of devices suitable for optoelectronics and phase-change materials
applications.
| [
{
"created": "Tue, 24 Dec 2019 00:55:12 GMT",
"version": "v1"
}
] | 2020-03-04 | [
[
"Pfeifle",
"Adam",
""
],
[
"Kuroda",
"Marcelo A.",
""
]
] | 19 | [
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] | 1,225,396 |
1912.13501 | Karim Banawan | Zhusheng Wang and Karim Banawan and Sennur Ulukus | Private Set Intersection: A Multi-Message Symmetric Private Information
Retrieval Perspective | Submitted for publication | null | null | null | cs.IT cs.CR cs.DB eess.SP math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the problem of private set intersection (PSI). In this problem,
there are two entities $E_i$, for $i=1, 2$, each storing a set $\mathcal{P}_i$,
whose elements are picked from a finite field $\mathbb{F}_K$, on $N_i$
replicated and non-colluding databases. It is required to determine the set
intersection $\mathcal{P}_1 \cap \mathcal{P}_2$ without leaking any information
about the remaining elements to the other entity with the least amount of
downloaded bits. We first show that the PSI problem can be recast as a
multi-message symmetric private information retrieval (MM-SPIR) problem. Next,
as a stand-alone result, we derive the information-theoretic sum capacity of
MM-SPIR, $C_{MM-SPIR}$. We show that with $K$ messages, $N$ databases, and the
size of the desired message set $P$, the exact capacity of MM-SPIR is
$C_{MM-SPIR} = 1 - \frac{1}{N}$ when $P \leq K-1$, provided that the entropy of
the common randomness $S$ satisfies $H(S) \geq \frac{P}{N-1}$ per desired
symbol. This result implies that there is no gain for MM-SPIR over successive
single-message SPIR (SM-SPIR). For the MM-SPIR problem, we present a novel
capacity-achieving scheme that builds on the near-optimal scheme of
Banawan-Ulukus originally proposed for the multi-message PIR (MM-PIR) problem
without database privacy constraints. Surprisingly, our scheme here is exactly
optimal for the MM-SPIR problem for any $P$, in contrast to the scheme for the
MM-PIR problem, which was proved only to be near-optimal. Our scheme is an
alternative to the SM-SPIR scheme of Sun-Jafar. Based on this capacity result
for MM-SPIR, and after addressing the added requirements in its conversion to
the PSI problem, we show that the optimal download cost for the PSI problem is
$\min\left\{\left\lceil\frac{P_1 N_2}{N_2-1}\right\rceil, \left\lceil\frac{P_2
N_1}{N_1-1}\right\rceil\right\}$, where $P_i$ is the cardinality of set
$\mathcal{P}_i$
| [
{
"created": "Tue, 31 Dec 2019 18:51:02 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Nov 2020 17:17:04 GMT",
"version": "v2"
}
] | 2020-12-01 | [
[
"Wang",
"Zhusheng",
""
],
[
"Banawan",
"Karim",
""
],
[
"Ulukus",
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""
]
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] | 1,225,397 |
1912.13502 | Cyril Closset | Cyril Closset and Michele Del Zotto | On 5d SCFTs and their BPS quivers. Part I: B-branes and brane tilings | 68 pages plus appendix. Comments (and citation requests!) more than
welcome; v2: updated references and small comments | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the spectrum of BPS particles on the Coulomb branch of
five-dimensional superconformal field theories (5d SCFTs) compactified on a
circle. By engineering these theories in M-theory on ${\mathbf X} \times S^1 $,
for ${\mathbf X}$ an isolated Calabi-Yau threefold singularity, we naturally
identify the BPS category of the 5d theory on a circle with the derived
category of coherent sheaves on a resolution of ${\mathbf X}$. It follows that
the BPS spectrum can be studied in terms of 5d BPS quivers, which are the
fractional-brane quivers for the singularity ${\mathbf X}$. 5d BPS quivers
generalize the well-studied 4d BPS quivers for 4d $\mathcal{N}{=}2$ gauge
theories that can be obtained from ${\mathbf X}$ in so-called geometric
engineering limits. We study the interplay between 4d and 5d BPS quivers in
detail. We particularly focus on examples when ${\mathbf X}$ is a toric
singularity, in which case the 5d BPS quiver is given in terms of a brane
tiling. For instance, the well-studied $Y^{p,q}$ brane tiling gives a 5d BPS
quiver for the $SU(p)_q$ 5d gauge theory. We present a conjecture about the
structure of the BPS spectra of a wide class of models, which we test in the
simple case of the 5d $SU(2)_0$ theory (more precisely, the $E_1$ SCFT). We
also argue that 5d UV dualities can be realized in terms of mutation sequences
on the BPS quivers, which are in turn interpreted as autoequivalences of the
BPS category.
| [
{
"created": "Tue, 31 Dec 2019 18:52:20 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Mar 2020 15:58:30 GMT",
"version": "v2"
}
] | 2020-03-03 | [
[
"Closset",
"Cyril",
""
],
[
"Del Zotto",
"Michele",
""
]
] | 19 | [
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] | 1,225,398 |
1912.13503 | Alexander Sax | Jeffrey O Zhang, Alexander Sax, Amir Zamir, Leonidas Guibas, Jitendra
Malik | Side-Tuning: A Baseline for Network Adaptation via Additive Side
Networks | In ECCV 2020 (Spotlight). For more, see project website and code at
http://sidetuning.berkeley.edu | null | null | null | cs.LG cs.CV cs.NE cs.RO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | When training a neural network for a desired task, one may prefer to adapt a
pre-trained network rather than starting from randomly initialized weights.
Adaptation can be useful in cases when training data is scarce, when a single
learner needs to perform multiple tasks, or when one wishes to encode priors in
the network. The most commonly employed approaches for network adaptation are
fine-tuning and using the pre-trained network as a fixed feature extractor,
among others.
In this paper, we propose a straightforward alternative: side-tuning.
Side-tuning adapts a pre-trained network by training a lightweight "side"
network that is fused with the (unchanged) pre-trained network via summation.
This simple method works as well as or better than existing solutions and it
resolves some of the basic issues with fine-tuning, fixed features, and other
common approaches. In particular, side-tuning is less prone to overfitting, is
asymptotically consistent, and does not suffer from catastrophic forgetting in
incremental learning. We demonstrate the performance of side-tuning under a
diverse set of scenarios, including incremental learning (iCIFAR, iTaskonomy),
reinforcement learning, imitation learning (visual navigation in Habitat), NLP
question-answering (SQuAD v2), and single-task transfer learning (Taskonomy),
with consistently promising results.
| [
{
"created": "Tue, 31 Dec 2019 18:52:32 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Jul 2020 00:02:34 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Jul 2020 22:36:58 GMT",
"version": "v3"
},
{
"created": "Fri, 31 Jul 2020 00:44:06 GMT",
"version": "v4"
}
] | 2020-08-03 | [
[
"Zhang",
"Jeffrey O",
""
],
[
"Sax",
"Alexander",
""
],
[
"Zamir",
"Amir",
""
],
[
"Guibas",
"Leonidas",
""
],
[
"Malik",
"Jitendra",
""
]
] | 19 | [
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