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1912.13204 | Suchet Sapre | Suchet Sapre, Pouyan Ahmadi and Khondkar Islam | A Robust Comparison of the KDDCup99 and NSL-KDD IoT Network Intrusion
Detection Datasets Through Various Machine Learning Algorithms | 8 pages, 13 figures | null | null | null | cs.LG cs.CR cs.NI stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In recent years, as intrusion attacks on IoT networks have grown
exponentially, there is an immediate need for sophisticated intrusion detection
systems (IDSs). A vast majority of current IDSs are data-driven, which means
that one of the most important aspects of this area of research is the quality
of the data acquired from IoT network traffic. Two of the most cited intrusion
detection datasets are the KDDCup99 and the NSL-KDD. The main goal of our
project was to conduct a robust comparison of both datasets by evaluating the
performance of various Machine Learning (ML) classifiers trained on them with a
larger set of classification metrics than previous researchers. From our
research, we were able to conclude that the NSL-KDD dataset is of a higher
quality than the KDDCup99 dataset as the classifiers trained on it were on
average 20.18% less accurate. This is because the classifiers trained on the
KDDCup99 dataset exhibited a bias towards the redundancies within it, allowing
them to achieve higher accuracies.
| [
{
"created": "Tue, 31 Dec 2019 07:36:33 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Sapre",
"Suchet",
""
],
[
"Ahmadi",
"Pouyan",
""
],
[
"Islam",
"Khondkar",
""
]
] | 19 | [
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] | 1,225,100 |
1912.13205 | Ma Elena Hern\'andez-Hern\'andez | Ma. Elena Hern\'andez-Hern\'andez and Saul Jacka and Aleksandar
Mijatovi\'c | Martingale approach to control for general jump processes | null | null | null | null | math.PR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide verification theorems (at different levels of generality) for
infinite horizon stochastic control problems in continuous time for
semimartingales. The control framework is given as an abstract "martingale
formulation", which encompasses a broad range of standard control problems.
Under appropriate conditions we show that the set of admissible controls gives
rise to a certain class of controlled special semimartingales. Our results
generalise both the standard controlled It\^o- and L\'evy-diffusion settings as
we allow ourselves to locally control not only the drift and diffusion
coefficients, but also the jump intensity measure of the jumps. As an
illustration, we present a few examples with explicit solutions.
| [
{
"created": "Tue, 31 Dec 2019 07:38:11 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Hernández-Hernández",
"Ma. Elena",
""
],
[
"Jacka",
"Saul",
""
],
[
"Mijatović",
"Aleksandar",
""
]
] | 19 | [
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] | 1,225,101 |
1912.13206 | Yoonsang Park | Yoonsang Park, Yuxuan Zhang, Maryam Majzoubi, Timo Scholehwar,
Eberhard Hennig, Kenji Uchino | Improvement of the Standard Characterization Method on k33 Mode
Piezoelectric Specimens | Total 33 pages including reference, figure captions and tables. 6
figures, 3 tables. Reason for the replacement: Corrected typos and minor
grammatical errors, Change in Reference | null | 10.1016/j.sna.2020.112124 | null | physics.app-ph cond-mat.mtrl-sci | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Even though standard method to determine physical parameters of piezoelectric
materials has been set up for several decades, bare attention has been made on
loss determination method. Furthermore, several deficits have been recognized
in the standard method for k33 mode. In this study, detailed discussion on
deficits of IEEE Standard k33 is investigated and the method to resolve such
deficits will be introduced. The standard k33 specimen suffers from small
capacitance, which causes huge experimental error, intrinsic electrical energy
leakage, specimen setup issue and inability to directly determine intensive
elastic properties. In order to resolve these issues, partial electrode method
was introduced, and curve fitting was demonstrated to determine physical
parameters and losses.
| [
{
"created": "Tue, 31 Dec 2019 07:39:57 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jan 2020 12:44:49 GMT",
"version": "v2"
}
] | 2021-05-25 | [
[
"Park",
"Yoonsang",
""
],
[
"Zhang",
"Yuxuan",
""
],
[
"Majzoubi",
"Maryam",
""
],
[
"Scholehwar",
"Timo",
""
],
[
"Hennig",
"Eberhard",
""
],
[
"Uchino",
"Kenji",
""
]
] | 19 | [
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] | 1,225,102 |
1912.13207 | Mauro Paternostro | Cillian Harney, Stefano Pirandola, Alessandro Ferraro, Mauro
Paternostro | Entanglement Classification via Neural Network Quantum States | 11 pages, 9 figures, RevTeX4 | null | 10.1088/1367-2630/ab783d | null | quant-ph cond-mat.dis-nn cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The task of classifying the entanglement properties of a multipartite quantum
state poses a remarkable challenge due to the exponentially increasing number
of ways in which quantum systems can share quantum correlations. Tackling such
challenge requires a combination of sophisticated theoretical and computational
techniques. In this paper we combine machine-learning tools and the theory of
quantum entanglement to perform entanglement classification for multipartite
qubit systems in pure states. We use a parameterisation of quantum systems
using artificial neural networks in a restricted Boltzmann machine (RBM)
architecture, known as Neural Network Quantum States (NNS), whose entanglement
properties can be deduced via a constrained, reinforcement learning procedure.
In this way, Separable Neural Network States (SNNS) can be used to build
entanglement witnesses for any target state.
| [
{
"created": "Tue, 31 Dec 2019 07:40:23 GMT",
"version": "v1"
}
] | 2020-06-24 | [
[
"Harney",
"Cillian",
""
],
[
"Pirandola",
"Stefano",
""
],
[
"Ferraro",
"Alessandro",
""
],
[
"Paternostro",
"Mauro",
""
]
] | 19 | [
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1912.13208 | Shuxun Tian | S. X. Ti\'an | Cosmological consequences of a scalar field with oscillating equation of
state: A possible solution to the fine-tuning and coincidence problems | 7 pages, 3 figures, matches published version | Phys. Rev. D 101, 063531 (2020) | 10.1103/PhysRevD.101.063531 | null | astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a new dark energy model for solving the cosmological fine-tuning
and coincidence problems. A default assumption is that the fine-tuning problem
disappears if we do not interpret dark energy as vacuum energy. The key idea to
solving the coincidence problem is that the Universe may have several
acceleration phases across the whole cosmic history. The specific example we
study is a quintessence model with approximately repeated double exponential
potential, which only introduces one Planck scale parameter and three
dimensionless parameters of order unity. The cosmological background evolution
equations can be recast into a four-dimensional dynamical system and its main
properties are discussed in details. Preliminary calculations show that our
model is able to explain the observed cosmic late-time acceleration.
| [
{
"created": "Tue, 31 Dec 2019 07:41:41 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Mar 2020 15:58:07 GMT",
"version": "v2"
}
] | 2020-03-27 | [
[
"Tián",
"S. X.",
""
]
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] | 1,225,104 |
1912.13209 | Matt Darnley | Matthew J. Darnley | Accrete, Accrete, Accrete... Bang! (and repeat): The Remarkable
Recurrent Novae | A review article now accepted to appear within The Golden Age of
Cataclysmic Variables and Related Objects V, Proceedings of Science. 19
pages, 2 figures, 1 table | null | null | null | astro-ph.SR astro-ph.HE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | All novae recur, but only a handful have been observed in eruption more than
once. These systems, the recurrent novae (RNe), are among the most extreme
examples of novae. RNe have long been thought of as potential type Ia supernova
progenitors, and their claim to this 'accolade' has recently been strengthened.
In this short review RNe will be presented within the framework of the maximum
magnitude-rate of decline (MMRD) phase-space. Recent work integrating
He-flashes into nova models, and the subsequent growth of the white dwarf, will
be explored. This review also presents an overview of the Galactic and
extragalactic populations of RNe, including the newly identified 'rapid
recurrent nova' subset - those with recurrence periods of ten years, or less.
The most exciting nova system yet discovered - M31N 2008-12a, with its annual
eruptions and vast nova super-remnant, is introduced. Throughout, open
questions regarding RNe, and some of the expected challenges and opportunities
that the near future will bring are addressed.
| [
{
"created": "Tue, 31 Dec 2019 07:47:01 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Mar 2020 15:36:38 GMT",
"version": "v2"
}
] | 2020-03-16 | [
[
"Darnley",
"Matthew J.",
""
]
] | 19 | [
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] | 1,225,105 |
1912.13210 | Yoonsang Park | Yoonsang Park, Maryam Majzoubi, Yuxuan Zhang, Timo Scholehwar,
Eberhard Hennig, Kenji Uchino | Analytical Modeling of k33 Mode Partial Electrode Configuration for Loss
Characterization | 24 pages, 5 figures and 3 tables. Reason for the replacement:
Corrected typos and minor grammatical errors, Change in Reference | null | 10.1063/1.5143728 | null | physics.app-ph cond-mat.mtrl-sci | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Accurate determination of three types of losses (dielectric, elastic and
piezoelectric) in piezoelectric materials is critical, since they are closely
related to the performance of high-power piezoelectric devices. The Standard
k33 mode has a number of serious deficits that hinders researchers from
determining accurate physical parameters and losses. In order to overcome such
deficits, partial electrode has been devised and proposed. This study provides
analytical derivation process and proposes parameter determination method by
utilizing analytical solutions. Compared to finite element analysis, analytical
solutions show 0.1 % difference in resonance frequencies and 2 % difference in
mechanical quality factors, proving them as valid modeling. The analytical
solutions are fitted to experimental data to determine physical parameters and
losses. The k33 (electromechanical coupling factor) values were calculated with
determined values from curve fitting in two different ways and show good
agreement to each other.
| [
{
"created": "Tue, 31 Dec 2019 07:50:44 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jan 2020 12:46:40 GMT",
"version": "v2"
}
] | 2021-05-25 | [
[
"Park",
"Yoonsang",
""
],
[
"Majzoubi",
"Maryam",
""
],
[
"Zhang",
"Yuxuan",
""
],
[
"Scholehwar",
"Timo",
""
],
[
"Hennig",
"Eberhard",
""
],
[
"Uchino",
"Kenji",
""
]
] | 19 | [
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] | 1,225,106 |
1912.13211 | Xin Shi | Yuzhen Yang, Suyu Xiao, Yunyun Fan, Dejun Han, Zhijun Liang, Baohua
Qi, Liaoshan Shi, Yuhang Tan, Xingan Zhang, Xin Shi | Charaterization of the first prototype IHEP-NDL LGAD sensor | null | null | null | null | physics.ins-det | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The timing measurement of charged particles using silicon detector is widely
used in synchrotron source as X-ray detectors, in time-of-flight mass
spectrometer and especially in large collider experiment. To reduce the
drastically event pile-up of high-luminosity large hadron collider (HL-LHC), a
new concept of 4-dimension detector including timing and positon has been
proposed. One of the candidates for the 4-dimension detector is a new kind of
silicon detector called Low Gain Avalanche Diode (LGAD). In China, Institute of
High Energy Physics (IHEP) Chinese Academic Science cooperated with Novel
Device Laboratory (NDL) at Beijing Normal University have fabricated a series
of LGAD sensors. The characterization of the first prototype of IHEP-NDL
sensors is presented including leakage current and sensor capacitance
measurement. A test system for the time resolution of jitter term using
pico-second laser and fast sampling rate oscilloscope is also setup, and the
time resolution of 10 ps can be achieved with these sensors.
| [
{
"created": "Tue, 31 Dec 2019 07:56:26 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Yang",
"Yuzhen",
""
],
[
"Xiao",
"Suyu",
""
],
[
"Fan",
"Yunyun",
""
],
[
"Han",
"Dejun",
""
],
[
"Liang",
"Zhijun",
""
],
[
"Qi",
"Baohua",
""
],
[
"Shi",
"Liaoshan",
""
],
[
"Tan",
"Yuhang",
""
],
[
"Zhang",
"Xingan",
""
],
[
"Shi",
"Xin",
""
]
] | 19 | [
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] | 1,225,107 |
1912.13212 | Shuta Nakajima | Shuta Nakajima | Upper tail large deviations for a class of distributions in
First-passage percolation | 13 pages, no figures | null | null | null | math.PR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we consider the first passage percolation with identical and
independent exponentially distributions, called the Eden growth model, and we
study the upper tail large deviations for the first passage time ${\rm T}$. Our
main results prove that for any $\xi>0$ and $x\neq 0$, $\mathbb{P}({\rm
T}(0,nx)>n(\mu+\xi))$ decays as $\exp{(-(2d\xi +o(1))n)}$ with a time constant
$\mu$ and a dimension $d$. Moreover, we extend the result to stretched
exponential distributions. On the contrary, we construct a continuous
distribution with a finite exponential moment where the rate function does not
exist.
| [
{
"created": "Tue, 31 Dec 2019 08:06:07 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Nakajima",
"Shuta",
""
]
] | 19 | [
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] | 1,225,108 |
1912.13213 | Francesco Orabona | Francesco Orabona | A Modern Introduction to Online Learning | Major update: Two new chapters (saddle-point optimization and
universal portfolio); added missing proofs; fixed issues due to empty
interior simplex; fixed a lot of typos | null | null | null | cs.LG math.OC stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this monograph, I introduce the basic concepts of Online Learning through
a modern view of Online Convex Optimization. Here, online learning refers to
the framework of regret minimization under worst-case assumptions. I present
first-order and second-order algorithms for online learning with convex losses,
in Euclidean and non-Euclidean settings. All the algorithms are clearly
presented as instantiation of Online Mirror Descent or
Follow-The-Regularized-Leader and their variants. Particular attention is given
to the issue of tuning the parameters of the algorithms and learning in
unbounded domains, through adaptive and parameter-free online learning
algorithms. Non-convex losses are dealt through convex surrogate losses and
through randomization. The bandit setting is also briefly discussed, touching
on the problem of adversarial and stochastic multi-armed bandits. These notes
do not require prior knowledge of convex analysis and all the required
mathematical tools are rigorously explained. Moreover, all the included proofs
have been carefully chosen to be as simple and as short as possible.
| [
{
"created": "Tue, 31 Dec 2019 08:16:31 GMT",
"version": "v1"
},
{
"created": "Thu, 21 May 2020 19:03:07 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Dec 2020 22:14:47 GMT",
"version": "v3"
},
{
"created": "Thu, 2 Sep 2021 16:17:34 GMT",
"version": "v4"
},
{
"created": "Mon, 21 Mar 2022 00:55:54 GMT",
"version": "v5"
},
{
"created": "Sun, 28 May 2023 03:00:10 GMT",
"version": "v6"
}
] | 2023-05-30 | [
[
"Orabona",
"Francesco",
""
]
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] | 1,225,109 |
1912.13214 | Shadrokh Samavi | Mahdi Ahmadi, Nader Karimi, Shadrokh Samavi | Image Seam-Carving by Controlling Positional Distribution of Seams | Five pages, 4 figures | null | null | null | cs.CV eess.IV | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Image retargeting is a new image processing task that renders the change of
aspect ratio in images. One of the most famous image-retargeting algorithms is
seam-carving. Although seam-carving is fast and straightforward, it usually
distorts the images. In this paper, we introduce a new seam-carving algorithm
that not only has the simplicity of the original seam-carving but also lacks
the usual unwanted distortion existed in the original method. The positional
distribution of seams is introduced. We show that the proposed method
outperforms the original seam-carving in terms of retargeted image quality
assessment and seam coagulation measures.
| [
{
"created": "Tue, 31 Dec 2019 08:17:55 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Ahmadi",
"Mahdi",
""
],
[
"Karimi",
"Nader",
""
],
[
"Samavi",
"Shadrokh",
""
]
] | 19 | [
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] | 1,225,110 |
1912.13215 | Jiachen Jiang | Jiachen Jiang, Felix F\"urst, Dominic J. Walton, Michael L. Parker and
Andrew C. Fabian | A NuSTAR View of GRS 1716$-$249 in the Hard and Intermediate States | 10 pages, 7 figures, accepted by MNRAS | null | 10.1093/mnras/staa017 | null | astro-ph.HE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a detailed analysis of the spectral properties of the black hole
transient GRS 1716-249, based on the archival Swift and NuSTAR observations
taken during the outburst of this source in 2016-2017. The first six NuSTAR
observations show that the source is in a canonical hard state, where the
spectrum is dominated by a power-law continuum. The seventh NuSTAR observation
is taken during the intermediate state where both a disc thermal component and
a power-law continuum are shown. All of our observations show a broad emission
line feature in the iron band and a Compton hump above 10 keV. We model the
broad band spectra using a high density disc reflection model, where the soft
X-ray emission in the hard state is interpreted as part of the disc reflection
component. This model enables us to constrain the disc density parameter of GRS
1716-249 in the range of $10^{19}$-$10^{20}$ cm$^{-3}$. We only obtain an upper
limit of the inner disc radius using high density disc reflection spectroscopy
and the results indicate either a non-truncated disc or a slightly truncated
disc with $R_{\rm in}<20r_{\rm g}$.
| [
{
"created": "Tue, 31 Dec 2019 08:22:11 GMT",
"version": "v1"
}
] | 2020-01-15 | [
[
"Jiang",
"Jiachen",
""
],
[
"Fürst",
"Felix",
""
],
[
"Walton",
"Dominic J.",
""
],
[
"Parker",
"Michael L.",
""
],
[
"Fabian",
"Andrew C.",
""
]
] | 19 | [
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] | 1,225,111 |
1912.13216 | Piero D'Ancona | Piero D'Ancona | On the supercritical defocusing NLW outside a ball | 20 pages | null | null | null | math.AP math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a defocusing semilinear wave equation, with a power nonlinearity
$|u|^{p-1}u$, defined outside the unit ball of $\mathbb{R}^{n}$, $n\ge3$, with
Dirichlet boundary conditions. We prove that if $p>n+4$ and the initial data
are nonradial perturbations of large radial data, there exists a global smooth
solution. The solution is unique among energy class solutions satisfying an
energy inequality. The main tools used are the Penrose transform and a
pointwise decay estimate for the exterior linear wave equation perturbed with a
large, time dependent potential.
| [
{
"created": "Tue, 31 Dec 2019 08:37:51 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jul 2020 16:40:48 GMT",
"version": "v2"
}
] | 2020-07-29 | [
[
"D'Ancona",
"Piero",
""
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] | 1,225,112 |
1912.13217 | Hong-Fu Wang | Lu Qi, Yan Xing, Guo-Li Wang, Shou Zhang, Hong-Fu Wang | Topological and nontopological edge states induced by qubit-assisted
coupling potentials | 10 pages,9 figures | null | 10.1002/andp.202000067 | null | quant-ph cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the usual Su-Schrieffer-Heeger (SSH) chain, the topology of the energy
spectrum is divided into two categories in different parameter regions. Here we
study the topological and nontopological edge states induced by qubit-assisted
coupling potentials in circuit quantum electrodynamics (QED) lattice system
modelled as a SSH chain. We find that, when the coupling potential added on
only one end of the system raises to a certain extent, the strong coupling
potential will induce a new topologically nontrivial phase accompanied with the
appearance of a nontopological edge state in the whole parameter region, and
the novel phase transition leads to the inversion of odd-even effect in the
system directly. Furthermore, we also study the topological properties as well
as phase transitions when two unbalanced coupling potentials are injected into
both the ends of the circuit QED lattice system, and find that the system
exhibits three distinguishing phases in the process of multiple flips of energy
bands. These phases are significantly different from the previous phase induced
via unilateral coupling potential, which is reflected by the existence of a
pair of nontopological edge states under strong coupling potential regime. Our
scheme provides a feasible and visible method to induce a variety of different
kinds of topological and nontopological edge states through controlling the
qubit-assisted coupling potentials in circuit QED lattice system both in
experiment and theory.
| [
{
"created": "Tue, 31 Dec 2019 08:37:59 GMT",
"version": "v1"
}
] | 2020-08-26 | [
[
"Qi",
"Lu",
""
],
[
"Xing",
"Yan",
""
],
[
"Wang",
"Guo-Li",
""
],
[
"Zhang",
"Shou",
""
],
[
"Wang",
"Hong-Fu",
""
]
] | 19 | [
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1912.13218 | Burt Totaro | Burt Totaro | The integral cohomology of the Hilbert scheme of points on a surface | 6 pages | Forum of Mathematics, Sigma 8 (2020) e40 | 10.1017/fms.2020.35 | null | math.AG math.AT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that if X is a smooth complex projective surface with torsion-free
cohomology, then the Hilbert scheme X^[n] has torsion-free cohomology for every
natural number n. This extends earlier work by Markman on the case of Poisson
surfaces. The proof uses Gholampour-Thomas's reduced obstruction theory for
nested Hilbert schemes of surfaces.
| [
{
"created": "Tue, 31 Dec 2019 08:38:13 GMT",
"version": "v1"
}
] | 2020-11-11 | [
[
"Totaro",
"Burt",
""
]
] | 19 | [
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] | 1,225,114 |
1912.13219 | Joackim Bernier | Joackim Bernier (IMT) | Exact splitting methods for semigroups generated by inhomogeneous
quadratic differential operators | null | null | null | null | math.AP cs.NA math.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce some general tools to design exact splitting methods to compute
numerically semigroups generated by inhomogeneous quadratic differential
operators. More precisely, we factorize these semigroups as products of
semigroups that can be approximated efficiently, using, for example,
pseudo-spectral methods. We highlight the efficiency of these new methods on
the examples of the magnetic linear Schr{\"o}dinger equations with quadratic
potentials, some transport equations and some Fokker-Planck equations.
| [
{
"created": "Tue, 31 Dec 2019 08:44:25 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Nov 2020 15:46:05 GMT",
"version": "v2"
}
] | 2020-11-30 | [
[
"Bernier",
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"",
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] | 1,225,115 |
1912.13220 | Jeong-Hyuck Park | Kyoungho Cho, Kevin Morand, and Jeong-Hyuck Park | Stringy Newton Gravity with $H$-flux | 6 pages, No figure, v2) Refs added | Phys. Rev. D 101, 064020 (2020) | 10.1103/PhysRevD.101.064020 | null | hep-th astro-ph.GA gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A Symmetry Principle has been shown to augment unambiguously the Einstein
Field Equations, promoting the whole closed-string massless NS-NS sector to
stringy graviton fields. Here we consider its weak field approximation, take a
non-relativistic limit, and derive the stringy augmentation of Newton Gravity:
\[ \begin{array}{lll} {\bf{\nabla}^{2}\Phi}=4\pi G
\rho+\bf{H}{\bf{\cdot}}\bf{H}\,, \quad&\qquad\bf{\nabla}\bf{\cdot}\bf{H}=0\,,
\quad&\qquad {\bf{\nabla}\bf{\times}\bf{H}}=4\pi G\, \bf{K}\,. \end{array} \]
Not only the mass density $\rho$ but also the current density $\mathbf{K}$ is
intrinsic to matter. Sourcing $\mathbf{H}$ which is of NS-NS $H$-flux origin,
$\mathbf{K}$ is nontrivial if the matter is `stringy'. $\mathbf{H}$ contributes
quadratically to the Newton potential, but otherwise is decoupled from the
point particle dynamics, i.e. $\bf{\ddot{x}}=-\bf{\nabla}\Phi$. We define
`stringization' analogous to magnetization and discuss regular as well as
monopole-like singular solutions.
| [
{
"created": "Tue, 31 Dec 2019 08:46:49 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Mar 2020 05:37:47 GMT",
"version": "v2"
}
] | 2020-03-16 | [
[
"Cho",
"Kyoungho",
""
],
[
"Morand",
"Kevin",
""
],
[
"Park",
"Jeong-Hyuck",
""
]
] | 19 | [
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] | 1,225,116 |
1912.13221 | Joackim Bernier | Joackim Bernier (IMT), Nicolas Crouseilles (MINGUS, UNIV-RENNES),
Yingzhe Li (UCAS, MINGUS) | Exact splitting methods for kinetic and Schr{\"o}dinger equations | null | null | null | null | math.NA cs.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In [8], some exact splittings are proposed for inhomogeneous quadratic
differential equations including, for example, transport equations, kinetic
equations, and Schr{\"o}dinger type equations with a rotation term. In this
work, these exact splittings are combined with pseudo-spectral methods in space
to illustrate their high accuracy and efficiency.
| [
{
"created": "Tue, 31 Dec 2019 08:48:07 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Bernier",
"Joackim",
"",
"IMT"
],
[
"Crouseilles",
"Nicolas",
"",
"MINGUS, UNIV-RENNES"
],
[
"Li",
"Yingzhe",
"",
"UCAS, MINGUS"
]
] | 19 | [
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] | 1,225,117 |
1912.13222 | Zhan Yu | Zhan Yu, Daniel W. C. Ho | Distributed Stochastic Block Coordinate Descent for Time-Varying
Multi-Agent Optimization | null | null | null | null | math.OC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, a class of large-scale distributed nonsmooth convex
optimization problem over time-varying multi-agent network is investigated.
Specifically, the decision space which can be split into several blocks of
convex set is considered. We present a distributed block coordinate descent
(DSBCD) method in which for each node, information communication with other
agents and a block Bregman projection are performed in each iteration. In
contrast to existing work, we do not require the projection is operated on the
whole decision space. Instead, in each step, distributed projection procedure
is performed on only one random block. The explicit formulation of the
convergence level depending on random projection probabilities and network
parameters is achieved. An expected $O(1/\sqrt{T})$ rate is achieved. In
addition, we obtain an explicit $\mathcal{O}(b^2/\epsilon^2)$ complexity bound
with target accuracy $\epsilon$ and characteristic constant factor $b$. The
complexity with dependency on $\epsilon$ and $b$ is shown to be the best known
in this literature.
| [
{
"created": "Tue, 31 Dec 2019 08:51:08 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Yu",
"Zhan",
""
],
[
"Ho",
"Daniel W. C.",
""
]
] | 19 | [
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] | 1,225,118 |
1912.13223 | Bibhuti Kumar Jha | Bibhuti Kumar Jha, Bidya Binay Karak, Sudip Mandal and Dipankar
Banerjee | Magnetic field dependence of bipolar magnetic region tilts on the Sun:
Indication of tilt quenching | 7 pages and 4 figures; Accepted for Publication in ApJL | 2020 ApJL 889 L19 | 10.3847/2041-8213/ab665c | null | astro-ph.SR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The tilt of bipolar magnetic region (BMR) is crucial in the Babcock--Leighton
process for the generation of the poloidal magnetic field in Sun. Based on the
thin flux tube model of the BMR formation, the tilt is believed to be caused by
the Coriolis force acting on the rising flux tube of the strong toroidal
magnetic field from the base of the convection zone (BCZ). We analyze the
magnetic field dependence of BMR tilts using the magnetograms of Michelson
Doppler Imager (MDI) (1996-2011) and Helioseismic and Magnetic Imager (HMI)
(2010-2018). We observe that the distribution of the maximum magnetic field
($B_{\rm max}$) of BMRs is bimodal. Its first peak at the low field corresponds
to BMRs which do not have sunspots as counterparts in the white light images,
whereas the second peak corresponds to sunspots as recorded in both types of
images. We find that the slope of Joy's law ($\gamma_0$) initially increases
slowly with the increase of $B_{\rm max}$. However, when $B_{\rm max} \gtrsim
2$ kG, $\gamma_0$ decreases. Scatter of BMR tilt around Joy's law
systematically decreases with the increase of $B_{\rm max}$. The decrease of
observed $\gamma_0$ with $B_{\rm max}$ provides a hint to a nonlinear tilt
quenching in the Babcock--Leighton process. We finally discuss how our results
may be used to make a connection with the thin flux tube model.
| [
{
"created": "Tue, 31 Dec 2019 08:52:19 GMT",
"version": "v1"
}
] | 2020-01-28 | [
[
"Jha",
"Bibhuti Kumar",
""
],
[
"Karak",
"Bidya Binay",
""
],
[
"Mandal",
"Sudip",
""
],
[
"Banerjee",
"Dipankar",
""
]
] | 19 | [
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1912.13224 | Vincent Duval | Vincent Duval (MOKAPLAN, CEREMADE) | An Epigraphical Approach to the Representer Theorem | null | null | null | null | math.OC eess.SP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Describing the solutions of inverse problems arising in signal or image
processing is an important issue both for theoretical and numerical purposes.
We propose a principle which describes the solutions to convex variational
problems involving a finite number of measurements. We discuss its optimality
on various problems concerning the recovery of Radon measures.
| [
{
"created": "Tue, 31 Dec 2019 08:53:25 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Aug 2020 10:00:07 GMT",
"version": "v2"
}
] | 2020-08-05 | [
[
"Duval",
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] | 1,225,120 |
1912.13225 | Frederic Nataf | Fr\'ed\'eric Nataf (LJLL (UMR\_7598), ALPINES) | Mathematical Analysis of Robustness of Two-Level Domain Decomposition
Methods with respect to Inexact Coarse Solves | null | Numerische Mathematik, Springer Verlag, 2020, pp.811-833 | 10.1007/s00211-020-01102-6 | null | math.NA cs.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Convergence of domain decomposition methods rely heavily on the efficiency of
the coarse space used in the second level. The GenEO coarse space has been
shown to lead to a fully robust two-level Schwarz preconditioner which scales
well over multiple cores [27, 19] as has been proved rigorously in [27]. The
robustness is due to its good approximation properties for problems with highly
heterogeneous material parameters. It is available in the finite element
packages FreeFem++, Feel++ and recently in Dune and is implemented as a
standalone library in HPDDM But the coarse component of the preconditioner can
ultimately become a bottleneck if the number of subdomains is very large and
exact solves are used. It is therefore interesting to consider the effect of
approximate coarse solves. In this paper, robustness of GenEO methods is
analyzed with respect to approximate coarse solves. Interestingly, the GenEO-2
method has to be modified in order to be able to prove its robustness in this
context.
| [
{
"created": "Tue, 31 Dec 2019 08:54:35 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Aug 2020 09:14:31 GMT",
"version": "v2"
}
] | 2020-08-04 | [
[
"Nataf",
"Frédéric",
"",
"LJLL"
]
] | 19 | [
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] | 1,225,121 |
1912.13226 | Yuntao Du | Yuntao Du, Zhiwen Tan, Qian Chen, Yi Zhang, Chongjun Wang | Homogeneous Online Transfer Learning with Online Distribution
Discrepancy Minimization | null | null | null | ECAI 2020 | cs.LG stat.ML | http://creativecommons.org/publicdomain/zero/1.0/ | Transfer learning has been demonstrated to be successful and essential in
diverse applications, which transfers knowledge from related but different
source domains to the target domain. Online transfer learning(OTL) is a more
challenging problem where the target data arrive in an online manner. Most OTL
methods combine source classifier and target classifier directly by assigning a
weight to each classifier, and adjust the weights constantly. However, these
methods pay little attention to reducing the distribution discrepancy between
domains. In this paper, we propose a novel online transfer learning method
which seeks to find a new feature representation, so that the marginal
distribution and conditional distribution discrepancy can be online reduced
simultaneously. We focus on online transfer learning with multiple source
domains and use the Hedge strategy to leverage knowledge from source domains.
We analyze the theoretical properties of the proposed algorithm and provide an
upper mistake bound. Comprehensive experiments on two real-world datasets show
that our method outperforms state-of-the-art methods by a large margin.
| [
{
"created": "Tue, 31 Dec 2019 08:58:25 GMT",
"version": "v1"
}
] | 2020-02-12 | [
[
"Du",
"Yuntao",
""
],
[
"Tan",
"Zhiwen",
""
],
[
"Chen",
"Qian",
""
],
[
"Zhang",
"Yi",
""
],
[
"Wang",
"Chongjun",
""
]
] | 19 | [
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] | 1,225,122 |
1912.13227 | Fenglei Tian | Fenglei Tian and Dein Wong | Characterization of graphs with some normalized Laplacian eigenvalue of
multiplicity n-3 | 15 pages, 3 figures | null | null | null | math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Graphs with few distinct eigenvalues have been investigated extensively. In
this paper, we focus on another relevant topic: characterizing graphs with some
eigenvalue of large multiplicity. Specifically, the normalized Laplacian matrix
of a graph is considered here. Let $\rho_{n-1}(G)$ and $\nu(G)$ be the second
least normalized Laplacian eigenvalue and the independence number of a graph
$G$, respectively. As the main conclusions, two families of $n$-vertex
connected graphs with some normalized Laplacian eigenvalue of multiplicity
$n-3$ are determined: graphs with $\rho_{n-1}(G)=-1$ and graphs with
$\rho_{n-1}(G)\neq -1$ and $\nu(G)\neq 2$. Moreover, it is proved that these
graphs are determined by their spectrum.
| [
{
"created": "Tue, 31 Dec 2019 08:58:45 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Tian",
"Fenglei",
""
],
[
"Wong",
"Dein",
""
]
] | 19 | [
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1912.13228 | Yeshwant Valaulikar | Jervin Zen Lobo, Y.S. Valaulikar | Group classification of second order neutral differential equations | 25 pages | null | null | null | math.CA math.AP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we discuss the method of obtaining symmetries for second order
nonhomogeneous neutral differential equations with variable coefficients. We
use Taylor theorem for a function of several variables to obtain a Lie type
invariance condition and the determining equations. Further we make a complete
group classification of the second order linear neutral differential equation,
for which there is no existing literature. As a special case, we present a
complete group classification of the corresponding second order linear delay
differential equation.
| [
{
"created": "Tue, 31 Dec 2019 09:02:55 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Lobo",
"Jervin Zen",
""
],
[
"Valaulikar",
"Y. S.",
""
]
] | 19 | [
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] | 1,225,124 |
1912.13229 | Yusuf Turek | Yusuf Turek | Effects of Postselected von Neumann Measurement on the Properties of
Single-Mode Radiation Fields | 12 pages, 30 figures | Chinese Phys. B 2020 | 10.1088/1674-1056/ab9f23 | null | quant-ph | http://creativecommons.org/licenses/by/4.0/ | Postselected von Neumann measurement characterized by postselection and weak
value has been found potential applications in quantum metrology and, solved
plenty of fundamental problems in quantum theory. As an application of this new
measurement technique in quantum optics, its effects on the features of
single-mode radiation fields such as coherent state, squeezed vacuum state and
Schrodinger cat sate are investigated by considering full-order effects of
unitary evolution. The results show that the conditional probabilities of
finding photons, second-order correlation functions, Q-factors and squeezing
effects of those states after postselected measurement significantly changed
compared with corresponding initial pointer states, respectively.
| [
{
"created": "Tue, 31 Dec 2019 09:04:22 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Apr 2020 09:49:07 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Sep 2021 07:10:22 GMT",
"version": "v3"
}
] | 2022-02-16 | [
[
"Turek",
"Yusuf",
""
]
] | 19 | [
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] | 1,225,125 |
1912.13230 | Vahid Noroozi | Vahid Noroozi, Sara Bahaadini, Samira Sheikhi, Nooshin Mojab, Philip
S. Yu | Leveraging Semi-Supervised Learning for Fairness using Neural Networks | 6 pages, 5 figures, accepted to ICMLA 2019 | null | null | null | cs.LG cs.AI stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | There has been a growing concern about the fairness of decision-making
systems based on machine learning. The shortage of labeled data has been always
a challenging problem facing machine learning based systems. In such scenarios,
semi-supervised learning has shown to be an effective way of exploiting
unlabeled data to improve upon the performance of model. Notably, unlabeled
data do not contain label information which itself can be a significant source
of bias in training machine learning systems. This inspired us to tackle the
challenge of fairness by formulating the problem in a semi-supervised
framework. In this paper, we propose a semi-supervised algorithm using neural
networks benefiting from unlabeled data to not just improve the performance but
also improve the fairness of the decision-making process. The proposed model,
called SSFair, exploits the information in the unlabeled data to mitigate the
bias in the training data.
| [
{
"created": "Tue, 31 Dec 2019 09:11:26 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Noroozi",
"Vahid",
""
],
[
"Bahaadini",
"Sara",
""
],
[
"Sheikhi",
"Samira",
""
],
[
"Mojab",
"Nooshin",
""
],
[
"Yu",
"Philip S.",
""
]
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] | 1,225,126 |
1912.13231 | Hong-Fu Wang | Lu Qi, Yan Xing, Shutian Liu, Shou Zhang, Hong-Fu Wang | Topological phase induced by distinguishing parameter regimes in cavity
optomechanical system with multiple mechanical resonators | null | Phys. Rev. A 101, 052325 (2020) | 10.1103/PhysRevA.101.052325 | null | quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose two kinds of distinguishing parameter regimes to induce
topological Su-Schrieffer-Heeger (SSH) phase in a one dimensional (1D)
multi-resonator cavity optomechanical system via modulating the frequencies of
both cavity fields and resonators. The introduction of the frequency
modulations allows us to eliminate the Stokes heating process for the mapping
of the tight-binding Hamiltonian without usual rotating wave approximation,
which is totally different from the traditional mapping of the topological
tight-binding model. We find that the tight-binding Hamiltonian can be mapped
into a topological SSH phase via modifying the Bessel function originating from
the frequency modulations of cavity fields and resonators, and the induced SSH
phase is independent on the effective optomechanical coupling strength. On the
other hand, the insensitivity of the system to the effective optomechanical
coupling provides us another new path to induce the topological SSH phase based
on the present 1D cavity optomechanical system. And we show that the system can
exhibit a topological SSH phase via varying the effective optomechanical
coupling strength in an alternative way, which is much more easier to be
achieved in experiment. Furthermore, we also construct an analogous bosonic
Kitaev model with the trivial topology by keeping the Stokes heating processes.
Our scheme provides a steerable platform to investigate the effects of
next-nearest-neighboring interactions on the topology of the system.
| [
{
"created": "Tue, 31 Dec 2019 09:15:47 GMT",
"version": "v1"
}
] | 2020-05-20 | [
[
"Qi",
"Lu",
""
],
[
"Xing",
"Yan",
""
],
[
"Liu",
"Shutian",
""
],
[
"Zhang",
"Shou",
""
],
[
"Wang",
"Hong-Fu",
""
]
] | 19 | [
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] | 1,225,127 |
1912.13232 | Hossein Vahid Dastjerdi | Hossein Vahid Dastjerdi, Hamidreza Fallah, and Morteza
Hajimahmoodzadeh | Investigating the effect of different quantum dots on the absorption
spectrum and characteristics of quantum dot sensitized solar cells | null | null | null | null | physics.app-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum dot sensitized solar cells are among the new generations of solar
cells that have attracted much attention. Theoretical and simulation studies
have predicted high efficiency for these cells so that in the future, these
cells could be an excellent alternative to silicon solar cells. Other
advantages of these cells are their ease of fabrication and cheaper
manufacturing methods than existing cells. This paper's main idea is to
simulate the effect of different quantum dots on the optical and electrical
characteristics of these cells and, in particular, the efficiency. We then
simulated the effect of simultaneous sensitizing by different quantum dots, and
we observed that the cell's light absorption and the efficiency in simultaneous
sensitizing, increased. Then we experimentally studied one of the cells that
give the best simulation result (PbS/CdS co-sensitized). We deposited the
quantum dots on transparent TiO2, and we obtained the light absorption,
efficiency, and other characteristics of cells. Further, we investigated the
effect of cobalt sulfide as the counter electrode in PbS/CdS, instead of
platinum and gold, and we found that the efficiency has increased.
| [
{
"created": "Tue, 31 Dec 2019 09:23:03 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Feb 2020 20:26:06 GMT",
"version": "v2"
},
{
"created": "Sun, 26 Apr 2020 15:54:00 GMT",
"version": "v3"
},
{
"created": "Thu, 16 Jul 2020 16:07:40 GMT",
"version": "v4"
}
] | 2020-07-17 | [
[
"Dastjerdi",
"Hossein Vahid",
""
],
[
"Fallah",
"Hamidreza",
""
],
[
"Hajimahmoodzadeh",
"Morteza",
""
]
] | 19 | [
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] | 1,225,128 |
1912.13233 | Hong-Fu Wang | Lu Qi, Shutian Liu, Shou Zhang, Hong-Fu Wang | Controllable double quantum state transfers by one topological channel
in a frequency-modulated optomechanical array | null | Optics Letters, 45, 2018-2021 (2020) | 10.1364/OL.388835 | null | quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a scheme to achieve the quantum state transfer via the topological
protected edge channel based on a one dimensional frequency-modulated
optomechanical array. We find that the optomechanical array can be mapped into
a Su-Schrieffer-Heeger model after eliminating the counter rotating wave terms
via frequency modulations. By dint of the edge channel of the
Su-Schrieffer-Heeger model, we show that the quantum state transfer between the
photonic left edge state and the photonic right edge state can be achieved with
a high fidelity. Specially, our scheme can also achieve another phononic
quantum state transfer based on the same channel via controlling the
next-nearest-neighboring interactions between the cavity fields, which is
different from the previous investigations only achieving one kind of quantum
state transfer. Our scheme provides a novel path to switch two different kinds
of quantum state transfers in a controllable way.
| [
{
"created": "Tue, 31 Dec 2019 09:27:03 GMT",
"version": "v1"
}
] | 2020-06-24 | [
[
"Qi",
"Lu",
""
],
[
"Liu",
"Shutian",
""
],
[
"Zhang",
"Shou",
""
],
[
"Wang",
"Hong-Fu",
""
]
] | 19 | [
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1912.13234 | Manvir Kushwaha | Manvir S. Kushwaha | The fundamentals of harnessing the magneto-optics of quantum wires for
designing optical amplifiers: Formalism | 10 Figures | Mod. Phys. Lett. B 33, 1950062 (2019) | 10.1142/S0217984919500623 | null | cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum wires occupy a unique status among the semiconducting nanostructures
with reduced dimensionality -- no other system seems to have engaged
researchers with as many appealing features to pursue. This paper aims at a
core issue related with the magnetoplasmon excitations in the quantum wires
characterized by the confining harmonic potential and subjected to a
longitudinal electric field and a perpendicular magnetic field in the symmetric
gauge. Despite the substantive complexity, we obtain the exact analytical
expressions for the eigenfunction and eigenenergy, using the scheme of ladder
operators, which fundamentally characterize the quantal system. Crucial to this
inquiry is an intersubband collective excitation that evolves into a
magnetoroton -- above a threshold value of magnetic field -- which observes a
negative group velocity between the maxon and the roton. The evidence of
negative group velocity implies anomalous dispersion in a gain medium with the
population inversion that forms the basis for the lasing action of lasers.
Thus, the technological pathway that unfolds is the route to devices exploiting
the magnetoroton features for designing the novel optical amplifiers at
nanoscale and hence paving the way to a new generation of lasers.
| [
{
"created": "Tue, 31 Dec 2019 09:27:46 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Kushwaha",
"Manvir S.",
""
]
] | 19 | [
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] | 1,225,130 |
1912.13235 | Ankit Kumar Singh | Ankit Kumar Singh, Antariksha Das, Sourin Das, and Nirmalya Ghosh | Spin selective scattering modes in random anisotropy optical medium | null | Phys. Rev. A 102, 033518 (2020) | 10.1103/PhysRevA.102.033518 | null | physics.optics cond-mat.dis-nn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Geometrical and dynamical phase have competing effects as far a scattering of
light form inhomogeneous anisotropic optical medium is concerned. If fine-tuned
appropriately, these effects can completely cancel each other for a chosen spin
component while having an additive effect on the orthogonal components. Here,
we show a manifestation of extraordinary spin selective modes in Fourier
spectrum of Gaussian beam transmitted through anisotropic disordered medium. We
realize the concept using a twisted nematic liquid crystal-based spatial light
modulator (SLM) with random gray level distribution for incident Gaussian beam.
| [
{
"created": "Tue, 31 Dec 2019 09:30:19 GMT",
"version": "v1"
}
] | 2020-09-28 | [
[
"Singh",
"Ankit Kumar",
""
],
[
"Das",
"Antariksha",
""
],
[
"Das",
"Sourin",
""
],
[
"Ghosh",
"Nirmalya",
""
]
] | 19 | [
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] | 1,225,131 |
1912.13236 | Xiao-Lei Liu | Xiao-Lei Liu | Fractional Dehn twists and modular invariants | This paper has been accepted for publication in SCIENCE CHINA
Mathematics | null | null | null | math.AG math.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note, we establish a relationship between fractional Dehn twist
coefficients of Riemann surface automorphisms and modular invariants of
holomorphic families of algebraic curves. Specially, we give a characterization
of pseudo-periodic maps with nontrivial fractional Dehn twist coefficients. We
also obtain some uniform lower bounds of non-zero fractional Dehn twist
coefficients.
| [
{
"created": "Tue, 31 Dec 2019 09:30:23 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jun 2020 00:39:04 GMT",
"version": "v2"
}
] | 2020-06-23 | [
[
"Liu",
"Xiao-Lei",
""
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] | 1,225,132 |
1912.13237 | Chen Chaoyu | Xiao-Ming Ma, Zhongjia Chen, Eike F. Schwier, Yang Zhang, Yu-Jie Hao,
Rui'e Lu, Jifeng Shao, Yuanjun Jin, Meng Zeng, Xiang-Rui Liu, Zhanyang Hao,
Ke Zhang, Wumiti Mansuer, Shiv Kumar, Chunyao Song, Yuan Wang, Boyan Zhao,
Cai Liu, Ke Deng, Jiawei Mei, Kenya Shimada, Yue Zhao, Xingjiang Zhou, Bing
Shen, Wen Huang, Chang Liu, Hu Xu, Chaoyu Chen | Hybridization-Induced Gapped and Gapless States on the Surfaces of
Magnetic Topological Insulators | 18 pages, 4 figures | Phys. Rev. B 102, 245136 (2020) | 10.1103/PhysRevB.102.245136 | null | cond-mat.str-el cond-mat.mtrl-sci | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The layered MnBi2nTe3n+1 family represents the first intrinsic
antiferromagnetic topological insulator (AFM TI, protected by a combination
symmetry ) ever discovered, providing an ideal platform to explore novel
physics such as quantum anomalous Hall effect at elevated temperature and axion
electrodynamics. Recent angle-resolved photoemission spectroscopy (ARPES)
experiments on this family have revealed that all terminations exhibit (nearly)
gapless topological surface states (TSSs) within the AFM state, violating the
definition of the AFM TI, as the surfaces being studied should be -breaking and
opening a gap. Here we explain this curious paradox using a surface-bulk band
hybridization picture. Combining ARPES and first-principles calculations, we
prove that only an apparent gap is opened by hybridization between TSSs and
bulk bands. The observed (nearly) gapless features are consistently reproduced
by tight-binding simulations where TSSs are coupled to a Rashba-split bulk
band. The Dirac-cone-like spectral features are actually of bulk origin, thus
not sensitive to the-breaking at the AFM surfaces. This picture explains the
(nearly) gapless behaviour found in both Bi2Te3- and MnBi2Te4-terminated
surfaces and is applicable to all terminations of MnBi2nTe3n+1 family. Our
findings highlight the role of band hybridization, superior to magnetism in
this case, in shaping the general surface band structure in magnetic
topological materials for the first time.
| [
{
"created": "Tue, 31 Dec 2019 09:31:21 GMT",
"version": "v1"
}
] | 2020-12-24 | [
[
"Ma",
"Xiao-Ming",
""
],
[
"Chen",
"Zhongjia",
""
],
[
"Schwier",
"Eike F.",
""
],
[
"Zhang",
"Yang",
""
],
[
"Hao",
"Yu-Jie",
""
],
[
"Lu",
"Rui'e",
""
],
[
"Shao",
"Jifeng",
""
],
[
"Jin",
"Yuanjun",
""
],
[
"Zeng",
"Meng",
""
],
[
"Liu",
"Xiang-Rui",
""
],
[
"Hao",
"Zhanyang",
""
],
[
"Zhang",
"Ke",
""
],
[
"Mansuer",
"Wumiti",
""
],
[
"Kumar",
"Shiv",
""
],
[
"Song",
"Chunyao",
""
],
[
"Wang",
"Yuan",
""
],
[
"Zhao",
"Boyan",
""
],
[
"Liu",
"Cai",
""
],
[
"Deng",
"Ke",
""
],
[
"Mei",
"Jiawei",
""
],
[
"Shimada",
"Kenya",
""
],
[
"Zhao",
"Yue",
""
],
[
"Zhou",
"Xingjiang",
""
],
[
"Shen",
"Bing",
""
],
[
"Huang",
"Wen",
""
],
[
"Liu",
"Chang",
""
],
[
"Xu",
"Hu",
""
],
[
"Chen",
"Chaoyu",
""
]
] | 19 | [
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] | 1,225,133 |
1912.13238 | Alper Atamturk | Alper Atamturk and Vishnu Narayanan | Submodular Function Minimization and Polarity | null | null | null | BCOL 19.02, IEOR, UC Berkeley | math.OC cs.LG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using polarity, we give an outer polyhedral approximation for the epigraph of
set functions. For a submodular function, we prove that the corresponding polar
relaxation is exact; hence, it is equivalent to the Lov\'asz extension. The
polar approach provides an alternative proof for the convex hull description of
the epigraph of a submodular function. Computational experiments show that the
inequalities from outer approximations can be effective as cutting planes for
solving submodular as well as non-submodular set function minimization
problems.
| [
{
"created": "Tue, 31 Dec 2019 09:33:10 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jan 2020 06:08:31 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Dec 2020 06:41:30 GMT",
"version": "v3"
}
] | 2020-12-09 | [
[
"Atamturk",
"Alper",
""
],
[
"Narayanan",
"Vishnu",
""
]
] | 19 | [
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] | 1,225,134 |
1912.13239 | Kunihiko Yamauchi | Takao Kosaka, Kunihiko Yamauchi and Tamio Oguchi | DFT-Based Engineering of Dirac Surface Energy in Topological-Insulator
Multilayers | 5 pages, 5 figures, submitted for publication | null | null | null | cond-mat.mtrl-sci | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Aiming at the future spintronics device applications of the spin-polarized
surface states in three-dimensional topological insulator, a highly insulating
bulk state and a tunable Dirac cone surface state are required. Here we employ
a slab model having hetero-structural Bi2Se3-related quintuple layers and
perform first-principles simulations. Our computational results show that the
Dirac-point energy can be optimally tuned by selecting an appropriate pair of
materials so that the work function at the surface quintuple layer is slightly
different from that at the inner quintuple layers. The ideal surface state is
obtained in Bi2Te3/(Bi2Te2Se)4/Bi2Te3 slab, in which the Fermi lines show the
significant warping effect and both the in-plane and the out-of-plane
components of the spin polarization emerge.
| [
{
"created": "Tue, 31 Dec 2019 09:33:26 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Kosaka",
"Takao",
""
],
[
"Yamauchi",
"Kunihiko",
""
],
[
"Oguchi",
"Tamio",
""
]
] | 19 | [
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] | 1,225,135 |
1912.13240 | Tapas Baug | T. Baug, Ke Wang, Tie Liu, Mengyao Tang, Qizhou Zhang, Di Li,
Eswaraiah Chakali, Sheng-Yuan Liu, Anandmayee Tej, Paul F. Goldsmith,
Leonardo Bronfman, Sheng-Li Qin, Viktor L. Toth, Pak-Shing Li and Kee-Tae Kim | ALMA observations reveal no preferred outflow--filament and
outflow--magnetic field orientations | 18 pages, 2 tables, 6 figures (3 additional figures in Appendix);
Accepted for publication in the Astrophysical Journal | null | 10.3847/1538-4357/ab66b6 | null | astro-ph.GA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a statistical study on the orientation of outflows with respect to
large-scale filaments and the magnetic fields. Although filaments are widely
observed toward Galactic star-forming regions, the exact role of filaments in
star formation is unclear. Studies toward low-mass star-forming regions
revealed both preferred and random orientation of outflows respective to the
filament long-axes, while outflows in massive star-forming regions mostly
oriented perpendicular to the host filaments, and parallel to the magnetic
fields at similar physical scales. Here, we explore outflows in a sample of 11
protoclusters in HII regions, a more evolved stage compared to IRDCs, using
ALMA CO (3-2) line observations. We identify a total of 105 outflow lobes in
these protoclusters. Among the 11 targets, 7 are embedded within parsec-scale
filamentary structures detected in $^{13}$CO line and 870 $\mu m$ continuum
emissions. The angles between outflow axes and corresponding filaments
($\gamma_\mathrm{Fil}$) do not show any hint of preferred orientations (i.e.,
orthogonal or parallel as inferred in numerical models) with respect to the
position angle of the filaments. Identified outflow lobes are also not
correlated with the magnetic fields and Galactic plane position angles.
Outflows associated with filaments aligned along the large-scale magnetic
fields are also randomly orientated. Our study presents the first statistical
results of outflow orientation respective to large-scale filaments and magnetic
fields in evolved massive star-forming regions. The random distribution
suggests a lack of alignment of outflows with filaments, which may be a result
of the evolutionary stage of the clusters.
| [
{
"created": "Tue, 31 Dec 2019 09:36:35 GMT",
"version": "v1"
}
] | 2020-02-19 | [
[
"Baug",
"T.",
""
],
[
"Wang",
"Ke",
""
],
[
"Liu",
"Tie",
""
],
[
"Tang",
"Mengyao",
""
],
[
"Zhang",
"Qizhou",
""
],
[
"Li",
"Di",
""
],
[
"Chakali",
"Eswaraiah",
""
],
[
"Liu",
"Sheng-Yuan",
""
],
[
"Tej",
"Anandmayee",
""
],
[
"Goldsmith",
"Paul F.",
""
],
[
"Bronfman",
"Leonardo",
""
],
[
"Qin",
"Sheng-Li",
""
],
[
"Toth",
"Viktor L.",
""
],
[
"Li",
"Pak-Shing",
""
],
[
"Kim",
"Kee-Tae",
""
]
] | 19 | [
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] | 1,225,136 |
1912.13241 | Alex Borisevich | Alex Borisevich | Series Resonant Matrix Converter Topology for EV DC Fast Charging | null | null | null | null | eess.SY cs.SY eess.SP | http://creativecommons.org/licenses/by/4.0/ | In this paper, we presented a matrix converter with a high-frequency DC link
for EV DC fast charging applications. Introducing this topology allows
eliminating electrolytic capacitors in DC link of the converter, which
potentially increases the reliability and power density of the system. The
converter uses bidirectionally blocking three-phase rectifier to generate a
high-frequency square wave voltage for the series resonant LC DC/DC converter,
eliminating one H-bridge in front of the resonant tank. Principles of
high-frequency and low-frequency modulations are described. A low voltage
prototype has been built and tested which demonstrated ZVS soft switching of
all the transistors in the converter. Peak efficiency estimated as 98.0 % for
state-of-the-art switches.
| [
{
"created": "Tue, 31 Dec 2019 09:42:56 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Borisevich",
"Alex",
""
]
] | 19 | [
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] | 1,225,137 |
1912.13242 | Geoffrey Stewart Morrison | Geoffrey Stewart Morrison, Ewald Enzinger, Daniel Ramos, Joaqu\'in
Gonz\'alez-Rodr\'iguez, Alicia Lozano-D\'iez | Statistical Models in Forensic Voice Comparison | Morrison, G.S., Enzinger, E., Ramos, D., Gonz\'alez-Rodr\'iguez, J.,
Lozano-D\'iez, A. (2020). Statistical models in forensic voice comparison. In
Banks, D.L., Kafadar, K., Kaye, D.H., Tackett, M. (Eds.) Handbook of Forensic
Statistics (Ch. 20, pp. 451-497). Boca Raton, FL: CRC | null | null | null | stat.AP cs.SD eess.AS | http://creativecommons.org/licenses/by-nc-sa/4.0/ | This chapter describes a number of signal-processing and statistical-modeling
techniques that are commonly used to calculate likelihood ratios in
human-supervised automatic approaches to forensic voice comparison. Techniques
described include mel-frequency cepstral coefficients (MFCCs) feature
extraction, Gaussian mixture model - universal background model (GMM-UBM)
systems, i-vector - probabilistic linear discriminant analysis (i-vector PLDA)
systems, deep neural network (DNN) based systems (including senone posterior
i-vectors, bottleneck features, and embeddings / x-vectors), mismatch
compensation, and score-to-likelihood-ratio conversion (aka calibration).
Empirical validation of forensic-voice-comparison systems is also covered. The
aim of the chapter is to bridge the gap between general introductions to
forensic voice comparison and the highly technical
automatic-speaker-recognition literature from which the signal-processing and
statistical-modeling techniques are mostly drawn. Knowledge of the
likelihood-ratio framework for the evaluation of forensic evidence is assumed.
It is hoped that the material presented here will be of value to students of
forensic voice comparison and to researchers interested in learning about
statistical modeling techniques that could potentially also be applied to data
from other branches of forensic science.
| [
{
"created": "Tue, 31 Dec 2019 09:45:05 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Jun 2020 12:44:41 GMT",
"version": "v2"
}
] | 2020-06-15 | [
[
"Morrison",
"Geoffrey Stewart",
""
],
[
"Enzinger",
"Ewald",
""
],
[
"Ramos",
"Daniel",
""
],
[
"González-Rodríguez",
"Joaquín",
""
],
[
"Lozano-Díez",
"Alicia",
""
]
] | 19 | [
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1912.13243 | Pavol Bielik | Philippe Schlattner, Pavol Bielik, Martin Vechev | Learning to Infer User Interface Attributes from Images | null | null | null | null | cs.CV cs.GR cs.LG stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore a new domain of learning to infer user interface attributes that
helps developers automate the process of user interface implementation.
Concretely, given an input image created by a designer, we learn to infer its
implementation which when rendered, looks visually the same as the input image.
To achieve this, we take a black box rendering engine and a set of attributes
it supports (e.g., colors, border radius, shadow or text properties), use it to
generate a suitable synthetic training dataset, and then train specialized
neural models to predict each of the attribute values. To improve pixel-level
accuracy, we additionally use imitation learning to train a neural policy that
refines the predicted attribute values by learning to compute the similarity of
the original and rendered images in their attribute space, rather than based on
the difference of pixel values. We instantiate our approach to the task of
inferring Android Button attribute values and achieve 92.5% accuracy on a
dataset consisting of real-world Google Play Store applications.
| [
{
"created": "Tue, 31 Dec 2019 09:45:59 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Schlattner",
"Philippe",
""
],
[
"Bielik",
"Pavol",
""
],
[
"Vechev",
"Martin",
""
]
] | 19 | [
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] | 1,225,139 |
1912.13244 | Anand Awasthi | Pooja Sahlot, Suchita Pandey, Adityanarayan Pandey, and A.M. Awasthi | Harmonic Magneto-dielectric Study in Doped Perovskites, and Double
Perovskite | 21 pages, 8 figures, 41 references, 1 supplementary information | J. Appl. Phys. 127, 154103 (2020) | 10.1063/1.5145383 | null | cond-mat.mtrl-sci | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Fundamental and harmonic magneto-dielectricity studied for varied perovskite
systems-- Pb0.98Gd0.02(Mg1/3Nb2/3)0.995O3 (A-site co-doped PGMN
magneto-relaxor), La0.95Ca0.05CoO3 (A-site doped spin-state LCCO), and
La2NiMnO6 (double-perovskite LNMO multiglass) characterize intricately
polarized phases. First-harmonic signal ({\epsilon}2') of magnetically co-doped
PGMN manifests finite polarization P(H) below 270K, corroborated by the
measured remnant P-E traces. Second-harmonic ({\epsilon}3') reveals the effect
of random E-fields causing electrical vitreousity, latter indicated by the
divergent timescale of the fundamental response. LCCO features mixed-dipoles
phase over appreciable temperature window, affiliated to the coexistent
low-spins (LS) and intermediate-spins (IS). Across the 65K-start of IS-to-LS
state transition (SST), dc- and ac-conductivities of LCCO exhibit
mechanism-changeovers whereas the harmonic susceptibilities evidence
IS/LS-interfacial hyper-polarizations. Below the 30K-end of SST, harmonics
corroborate the vitreous phase of dipoles in the LS-matrix state. In the LNMO,
positive and negative (dual) magneto-dielectricity observed is respectively
attributed to the charge-hopping between Ni2+ and Mn4+ ions and the interfacial
polarization. Second-harmonic signal here also features dispersion
corresponding to the activation energy required for the electron transfer
between Ni- and Mn-cations. Results from three different perovskite systems
signify the combined importance of first- and second-harmonics, for a detailed
understanding of electrical configurations.
| [
{
"created": "Tue, 31 Dec 2019 09:50:39 GMT",
"version": "v1"
}
] | 2020-04-22 | [
[
"Sahlot",
"Pooja",
""
],
[
"Pandey",
"Suchita",
""
],
[
"Pandey",
"Adityanarayan",
""
],
[
"Awasthi",
"A. M.",
""
]
] | 19 | [
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] | 1,225,140 |
1912.13245 | Ali Zahabi | Ali Zahabi | Thermodynamics of Isoradial Quivers and Hyperbolic 3-Manifolds | 30 pages, 2 figures | null | 10.1142/S0217751X20501055 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The BPS sector of $\mathcal{N}=2$, $4d$ toric quiver gauge theories, and its
corresponding D6-D2-D0 branes on Calabi-Yau threefolds, have been previously
studied using integrable lattice models such as the crystal melting model and
the dimer model. The asymptotics of the BPS sector, in the large N limit, can
be studied using the Mahler measure theory, \cite{Zah}. In this work, we
consider the class of isoradial quivers and study their thermodynamical
observables and phase structure. Building on our previous results, and using
the relation between the Mahler measure and hyperbolic 3-manifolds, we propose
a new approach in the asymptotic analysis of the isoradial quivers. As a
result, we obtain the observables such as the BPS free energy, the BPS entropy
density and growth rate of the isoradial quivers, as a function of the
$R$-charges of the quiver and in terms of the hyperbolic volumes and the
dilogarithm functions. The phase structure of the isoradial quivers is studied
via the analysis of the BPS entropy density at critical $R$-charges and
universal results for the phase structure in this class are obtained. Explicit
results for the observables are obtained in some concrete examples of the
isoradial quivers.
| [
{
"created": "Tue, 31 Dec 2019 09:56:06 GMT",
"version": "v1"
}
] | 2020-08-26 | [
[
"Zahabi",
"Ali",
""
]
] | 19 | [
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] | 1,225,141 |
1912.13246 | Malcolm Levitt | Bogdan A. Rodin, Christian Bengs, Lynda J. Brown, Kirill F.
Sheberstov, Alexey S. Kiryutin, Richard C. D. Brown, Alexandra V.
Yurkovskaya, Konstantin L. Ivanov, Malcolm H. Levitt | Algorithmic Cooling of Nuclear Spin Pairs using a Long-Lived Singlet
State | 22 pages, 6 figures | null | 10.1063/5.0006742 | null | quant-ph physics.app-ph physics.chem-ph | http://creativecommons.org/licenses/by/4.0/ | Algorithmic cooling methods manipulate an open quantum system in order to
lower its temperature below that of the environment. We show that significant
cooling is achieved on an ensemble of spin-pair systems by exploiting the
long-lived nuclear singlet state, which is an antisymmetric quantum
superposition of the "up" and "down" qubit states. The effect is demonstrated
by nuclear magnetic resonance (NMR) experiments on a molecular system
containing a coupled pair of near-equivalent 13C nuclei. The populations of the
system are subjected to a repeating sequence of cyclic permutations separated
by relaxation intervals. The long-lived nuclear singlet order is pumped well
beyond the unitary limit, and the nuclear magnetization is enhanced by 21%
relative to its thermal equilibrium value. To our knowledge this is the first
demonstration of algorithmic cooling using a quantum superposition state and
without making a distinction between rapidly and slowly relaxing qubits.
| [
{
"created": "Tue, 31 Dec 2019 09:57:03 GMT",
"version": "v1"
}
] | 2020-05-20 | [
[
"Rodin",
"Bogdan A.",
""
],
[
"Bengs",
"Christian",
""
],
[
"Brown",
"Lynda J.",
""
],
[
"Sheberstov",
"Kirill F.",
""
],
[
"Kiryutin",
"Alexey S.",
""
],
[
"Brown",
"Richard C. D.",
""
],
[
"Yurkovskaya",
"Alexandra V.",
""
],
[
"Ivanov",
"Konstantin L.",
""
],
[
"Levitt",
"Malcolm H.",
""
]
] | 19 | [
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] | 1,225,142 |
1912.13247 | Daisuke Kadoh | Daisuke Kadoh and Naoya Ukita | Gradient flow equation in SQCD | 7 pages, 37th International Symposium on Lattice Field Theory -
Lattice2019 | null | null | null | hep-lat hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a supersymmetric gradient flow in ${\cal N}=1$ SQCD in four
dimensions. The flow equation is derived in the superfield formalism and is
also given for component fields of the Wess-Zumino gauge in a gauge covariant
manner. We find that the flow for the component fields is supersymmetric in a
sense that the flow time derivative and any supersymmetry transformation
commute with each other up to a gauge transformation.
| [
{
"created": "Tue, 31 Dec 2019 09:57:30 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Kadoh",
"Daisuke",
""
],
[
"Ukita",
"Naoya",
""
]
] | 19 | [
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] | 1,225,143 |
1912.13248 | Tsiry Randrianasolo | \v{L}ubom\'ir Ba\v{n}as and Giorgio Ferrari and Tsiry A. Randrianasolo | Numerical approximation of the value of a stochastic differential game
with asymmetric information | 23 pages, 8 figures | SIAM Journal on Control and Optimization, 2021, Vol. 59, No. 2 :
pp. 1109-1135 | 10.1137/19M1309997 | null | math.NA cs.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a convexity constrained Hamilton-Jacobi-Bellman-type obstacle
problem for the value function of a zero-sum differential game with asymmetric
information. We propose a convexity-preserving probabilistic numerical scheme
for the approximation of the value function which is discrete w.r.t. the time
and convexity variables, and show that the scheme converges to the unique
viscosity solution of the considered problem. Furthermore, we generalize the
semi-discrete scheme to obtain an implementable fully discrete numerical
approximation of the value function and present numerical experiments to
demonstrate the properties of the proposed numerical scheme.
| [
{
"created": "Tue, 31 Dec 2019 10:01:52 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Oct 2020 18:02:02 GMT",
"version": "v2"
}
] | 2021-03-26 | [
[
"Baňas",
"Ľubomír",
""
],
[
"Ferrari",
"Giorgio",
""
],
[
"Randrianasolo",
"Tsiry A.",
""
]
] | 19 | [
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1912.13249 | Erel Segal-Halevi | Erel Segal-Halevi | Generalized Rental Harmony | Generalized all results to "compensable tenants" - a class that
contains both miserly and quasilinear tenants | American Mathematical Monthly, 2022, 403--414 | 10.1080/00029890.2022.2037988 | null | cs.GT econ.TH | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Rental Harmony is the problem of assigning rooms in a rented house to tenants
with different preferences, and simultaneously splitting the rent among them,
such that no tenant envies the bundle (room+price) given to another tenant.
Different papers have studied this problem under two incompatible assumptions:
the miserly tenants assumption is that each tenant prefers a free room to a
non-free room; the quasilinear tenants assumption is that each tenant
attributes a monetary value to each room, and prefers a room of which the
difference between value and price is maximum. This note shows how to adapt the
main technique used for rental harmony with miserly tenants, using Sperner's
lemma, to a much more general class of preferences, that contains both miserly
and quasilinear tenants as special cases. This implies that some recent results
derived for miserly tenants apply to this more general preference class too.
| [
{
"created": "Tue, 31 Dec 2019 10:01:55 GMT",
"version": "v1"
},
{
"created": "Sat, 29 Feb 2020 23:28:06 GMT",
"version": "v2"
}
] | 2022-06-01 | [
[
"Segal-Halevi",
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] | 1,225,145 |
1912.13250 | Satoshi Ikegaya | S. Ikegaya, K. Yada, Y. Tanaka, S. Kashiwaya, Y. Asano, D. Manske | Identification of Spin-Triplet Superconductivity through a
Helical-Chiral Phase Transition in Sr$_2$RuO$_4$ Thin-Films | 12 pages, 5 figures | Phys. Rev. B 101, 220501 (2020) | 10.1103/PhysRevB.101.220501 | null | cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Despite much effort for over the two decades, the paring symmetry of a
Sr$_2$RuO$_4$ superconductor has been still unclear. In this Rapid
Communication, motivated by the recent rapid progress in fabrication techniques
for Sr$_2$RuO$_4$ thin-films, we propose a promising strategy for identifying
the spin-triplet superconductivity in the thin-film geometry by employing an
antisymmetric spin-orbit coupling potential and a Zeeman potential due to an
external magnetic field. We demonstrate that a spin-triplet superconducting
thin-film undergoes a phase transition from a helical state to a chiral state
by increasing the applied magnetic field. This phase transition is accompanied
by a drastic change in the property of surface Andreev bound states. As a
consequence, the helical-chiral phase transition, which is unique to the
spin-triplet superconductors, can be detected through a sudden change in a
tunneling conductance spectrum of a normal-metal/superconductor junction.
Importantly, our proposal is constructed by combining fundamental and rigid
concepts regarding physics of spin-triplet superconductivity.
| [
{
"created": "Tue, 31 Dec 2019 10:03:29 GMT",
"version": "v1"
}
] | 2020-07-01 | [
[
"Ikegaya",
"S.",
""
],
[
"Yada",
"K.",
""
],
[
"Tanaka",
"Y.",
""
],
[
"Kashiwaya",
"S.",
""
],
[
"Asano",
"Y.",
""
],
[
"Manske",
"D.",
""
]
] | 19 | [
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] | 1,225,146 |
1912.13251 | Keishu Utimula | Keishu Utimula, Tom Ichibha, Genki I. Prayogo, Kenta Hongo, Kousuke
Nakano, Ryo Maezono | Quantum annealing approach to Ionic Diffusion in Solid | null | Sci. Rep. 11 (2021) 7261 | 10.1038/s41598-021-86274-3 | null | quant-ph physics.comp-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have developed a framework for using quantum annealing computation to
evaluate a key quantity in ionic diffusion in solids, the correlation factor.
Existing methods can only calculate the correlation factor analytically in the
case of physically unrealistic models, making it difficult to relate
microstructural information about diffusion path networks obtainable by current
${ab\ initio}$ techniques to macroscopic quantities such as diffusion
coefficients. We have mapped the problem into a quantum spin system described
by the Ising Hamiltonian. By applying our framework in combination with ab
initio technique, it is possible to understand how diffusion coefficients are
controlled by temperatures, pressures, atomic substitutions, and other
factors.We have calculated the correlation factor in a simple case with a known
exact result by a variety of computational methods, including simulated quantum
annealing on the spin models, the classical random walk, the matrix
description, and quantum annealing on D-Wave with hybrid solver. This
comparison shows that all the evaluations give consistent results with each
other, but that many of the conventional approaches require infeasible
computational costs. Quantum annealing is also currently infeasible because of
the cost and scarcity of Q-bits, but we argue that when technological advances
alter this situation, quantum annealing will easily outperform all existing
methods.
| [
{
"created": "Tue, 31 Dec 2019 10:06:40 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Jul 2020 14:18:52 GMT",
"version": "v2"
}
] | 2021-04-20 | [
[
"Utimula",
"Keishu",
""
],
[
"Ichibha",
"Tom",
""
],
[
"Prayogo",
"Genki I.",
""
],
[
"Hongo",
"Kenta",
""
],
[
"Nakano",
"Kousuke",
""
],
[
"Maezono",
"Ryo",
""
]
] | 19 | [
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] | 1,225,147 |
1912.13252 | Tianwei Zhou | Tianwei Zhou, Ruixiao Yao, Kaixiang Yang, Shengjie Jin, Yueyang Zhai,
Xuguang Yue, Shifeng Yang, Xiaoji Zhou, Xuzong Chen, Xiaopeng Li | Dimension Crossing Turbulent Cascade in an Excited Lattice Bose Gas | 20 pages, 6 figures | null | null | null | cond-mat.quant-gas physics.atom-ph physics.flu-dyn quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Turbulence is an intriguing non-equilibrium state, which originates from
fluid mechanics and has far-reaching consequences in the description of climate
physics, the characterization of quantum hydrodynamics, and the understanding
of cosmic evolution. The concept of turbulent cascade describing the energy
redistribution across different length scales offers one profound route to
reconcile fundamental conservative forces with observational energy
non-conservation of accelerating expansion of the universe bypassing the
cosmological constant. Here, we observe a dimension crossing turbulent energy
cascade in an atomic Bose-Einstein condensate confined in a two-dimensional
(2d) optical lattice forming a 2d array of tubes, which exhibits universal
behaviors in the dynamical energy-redistribution across different dimensions.
By exciting atoms into the optical-lattice high bands, the excessive energy of
this quantum many-body system is found to cascade from the transverse
two-dimensional lattice directions to the continuous dimension, giving rise to
a one-dimensional turbulent energy cascade, which is in general challenging to
reach due to integrability. We expect this observed novel phenomenon of
dimension-crossing energy cascade may inspire microscopic theories for modeling
positive cosmological constant of our inflationary universe.
| [
{
"created": "Tue, 31 Dec 2019 10:08:14 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jan 2020 23:28:41 GMT",
"version": "v2"
}
] | 2020-01-10 | [
[
"Zhou",
"Tianwei",
""
],
[
"Yao",
"Ruixiao",
""
],
[
"Yang",
"Kaixiang",
""
],
[
"Jin",
"Shengjie",
""
],
[
"Zhai",
"Yueyang",
""
],
[
"Yue",
"Xuguang",
""
],
[
"Yang",
"Shifeng",
""
],
[
"Zhou",
"Xiaoji",
""
],
[
"Chen",
"Xuzong",
""
],
[
"Li",
"Xiaopeng",
""
]
] | 19 | [
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] | 1,225,148 |
1912.13253 | Attila Jo\'o | Attila Jo\'o | Proof of Nash-Williams' Intersection Conjecture for countable matroids | null | null | null | null | math.CO | http://creativecommons.org/licenses/by/4.0/ | We prove that if $ M $ and $ N $ are finitary matroids on a common countable
edge set $ E $ then they admit a common independent set $I $ such that there is
a bipartition $ E=E_{M}\cup E_{N} $ for which $ I\cap E_M $ spans $ E_M $ in $
M $ and $ I\cap E_N $ spans $ E_N $ in $ N $. It answers positively the Matroid
Intersection Conjecture of Nash-Williams in the countable case.
| [
{
"created": "Tue, 31 Dec 2019 10:15:01 GMT",
"version": "v1"
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{
"created": "Thu, 23 Jan 2020 15:39:04 GMT",
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{
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] | 1,225,149 |
1912.13254 | Niloufar Nilforoushan | Niloufar Nilforoushan, Michele Casula, Marco Caputo, Evangelos
Papalazarou, Jonathan Caillaux, Zhesheng Cheng, Luca Perfetti, Adriano
Amaricci, David Santos-Cottin, Yannick Klein, Andrea Gauzzi, and Marino Marsi | Photoinduced renormalization of Dirac states in BaNiS$_2$ | null | Phys. Rev. Research 2, 043397 (2020) | 10.1103/PhysRevResearch.2.043397 | null | cond-mat.mtrl-sci | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By means of pump-probe time- and angle-resolved photoelectron spectroscopy,
we provide evidence of a sizeable reduction of the Fermi velocity of
out-of-equilibrium Dirac bands in the quasi-two-dimensional semimetal
BaNiS$_2$. First-principle calculations indicate that this band renormalization
is ascribed to a change in non-local electron correlations driven by a
photo-induced enhancement of screening properties. This effect is accompanied
by a slowing down of the Dirac fermions and by a non-rigid shift of the bands
at the center of the Brillouin zone. This result suggests that other similar
electronic structure renormalizations may be photoinduced in other materials in
presence of strong non-local correlations.
| [
{
"created": "Tue, 31 Dec 2019 10:18:08 GMT",
"version": "v1"
}
] | 2021-01-04 | [
[
"Nilforoushan",
"Niloufar",
""
],
[
"Casula",
"Michele",
""
],
[
"Caputo",
"Marco",
""
],
[
"Papalazarou",
"Evangelos",
""
],
[
"Caillaux",
"Jonathan",
""
],
[
"Cheng",
"Zhesheng",
""
],
[
"Perfetti",
"Luca",
""
],
[
"Amaricci",
"Adriano",
""
],
[
"Santos-Cottin",
"David",
""
],
[
"Klein",
"Yannick",
""
],
[
"Gauzzi",
"Andrea",
""
],
[
"Marsi",
"Marino",
""
]
] | 19 | [
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] | 1,225,150 |
1912.13255 | Arnab Acharya Mr. | Arnab Acharya, Debapriya Pal, Soumitro Banerjee and Ananda Dasgupta | Limiting distribution of periodic position measurements of a quantum
harmonic oscillator | null | Volume 384, Issue 18, 26 June 2020, 126397 | 10.1016/j.physleta.2020.126397 | null | quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a particle in harmonic oscillator potential, whose position is
periodically measured with an instrument of finite precision. We show that the
distribution of the measured positions tends to a limiting distribution when
the number of measurements tends to infinity. We derive the expression for the
limiting position distribution and validate it with numerical simulation.
| [
{
"created": "Tue, 31 Dec 2019 10:23:24 GMT",
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{
"created": "Tue, 7 Jan 2020 05:46:39 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Jan 2021 06:38:26 GMT",
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] | 1,225,151 |
1912.13256 | Lanfei Wang | Lanfei Wang and Lingxi Xie and Tianyi Zhang and Jun Guo and Qi Tian | Scalable NAS with Factorizable Architectural Parameters | 10 pages, 4 figures | null | null | null | cs.LG cs.CV stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Neural Architecture Search (NAS) is an emerging topic in machine learning and
computer vision. The fundamental ideology of NAS is using an automatic
mechanism to replace manual designs for exploring powerful network
architectures. One of the key factors of NAS is to scale-up the search space,
e.g., increasing the number of operators, so that more possibilities are
covered, but existing search algorithms often get lost in a large number of
operators. For avoiding huge computing and competition among similar operators
in the same pool, this paper presents a scalable algorithm by factorizing a
large set of candidate operators into smaller subspaces. As a practical
example, this allows us to search for effective activation functions along with
the regular operators including convolution, pooling, skip-connect, etc. With a
small increase in search costs and no extra costs in re-training, we find
interesting architectures that were not explored before, and achieve
state-of-the-art performance on CIFAR10 and ImageNet, two standard image
classification benchmarks.
| [
{
"created": "Tue, 31 Dec 2019 10:26:56 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Sep 2020 18:47:42 GMT",
"version": "v2"
}
] | 2020-09-24 | [
[
"Wang",
"Lanfei",
""
],
[
"Xie",
"Lingxi",
""
],
[
"Zhang",
"Tianyi",
""
],
[
"Guo",
"Jun",
""
],
[
"Tian",
"Qi",
""
]
] | 19 | [
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] | 1,225,152 |
1912.13257 | Andreas Sinner | Andreas Sinner, Yurii E. Lozovik, and Klaus Ziegler | Pairing transition in a double layer with interlayer Coulomb repulsion | null | Phys. Rev. Research 2, 033085 (2020) | 10.1103/PhysRevResearch.2.033085 | null | cond-mat.supr-con cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effect of interlayer Coulomb interaction in an electronic double
layer. Assuming that each of the layers consists of a bipartite lattice, a
sufficiently strong interlayer interaction leads to an interlayer pairing of
electrons with a staggered order parameter. We show that the correlated pairing
state is dual to the excitonic pairing state with uniform order parameter in an
electron-hole double layer. The interlayer pairing of electrons leads to strong
current-current correlations between the layers. We also analyze the interlayer
conductivity and the fluctuations of the order parameter, which consists of a
gapped and a gapless mode.
| [
{
"created": "Tue, 31 Dec 2019 10:31:20 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Jun 2020 11:15:47 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Jul 2020 09:21:19 GMT",
"version": "v3"
}
] | 2020-07-22 | [
[
"Sinner",
"Andreas",
""
],
[
"Lozovik",
"Yurii E.",
""
],
[
"Ziegler",
"Klaus",
""
]
] | 19 | [
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] | 1,225,153 |
1912.13258 | Yiqiang Han | Yuan Gao, Yiqiang Han | Automated Testing for Deep Learning Systems with Differential Behavior
Criteria | 8 pages, 9 figures | null | null | null | cs.LG stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we conducted a study on building an automated testing system
for deep learning systems based on differential behavior criteria. The
automated testing goals were achieved by jointly optimizing two objective
functions: maximizing differential behaviors from models under testing and
maximizing neuron coverage. By observing differential behaviors from three
pre-trained models during each testing iteration, the input image that
triggered erroneous feedback was registered as a corner-case. The generated
corner-cases can be used to examine the robustness of DNNs and consequently
improve model accuracy. A project called DeepXplore was also used as a baseline
model. After we fully implemented and optimized the baseline system, we
explored its application as an augmenting training dataset with newly generated
corner cases. With the GTRSB dataset, by retraining the model based on
automated generated corner cases, the accuracy of three generic models
increased by 259.2%, 53.6%, and 58.3%, respectively. Further, to extend the
capability of automated testing, we explored other approaches based on
differential behavior criteria to generate photo-realistic images for deep
learning systems. One approach was to apply various transformations to the seed
images for the deep learning framework. The other approach was to utilize the
Generative Adversarial Networks (GAN) technique, which was implemented on MNIST
and Driving datasets. The style transferring capability has been observed very
effective in adding additional visual effects, replacing image elements, and
style-shifting (virtual image to real images). The GAN-based testing sample
generation system was shown to be the next frontier for automated testing for
deep learning systems.
| [
{
"created": "Tue, 31 Dec 2019 10:31:55 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Gao",
"Yuan",
""
],
[
"Han",
"Yiqiang",
""
]
] | 19 | [
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] | 1,225,154 |
1912.13259 | Carlo Marinelli | Carlo Marinelli, Luca Scarpa | On the positivity of local mild solutions to stochastic evolution
equations | 10 pages, no figures | null | null | null | math.AP math.PR q-fin.MF | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide sufficient conditions on the coefficients of a stochastic
evolution equation on a Hilbert space of functions driven by a cylindrical
Wiener process ensuring that its mild solution is positive if the initial datum
is positive. As an application, we discuss the positivity of forward rates in
the Heath-Jarrow-Morton model via Musiela's stochastic PDE.
| [
{
"created": "Tue, 31 Dec 2019 10:34:58 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Marinelli",
"Carlo",
""
],
[
"Scarpa",
"Luca",
""
]
] | 19 | [
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] | 1,225,155 |
1912.13260 | Tomoshige Yukita | Tomoshige Yukita | Locally rigid right-angled Coxeter groups with Fuchsian ends in
dimension 5 | null | null | null | null | math.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we construct a right-angled 5-polytope P of finite volume such
that all the right-angled Coxeter groups with Fuchsian ends obtained from P are
locally rigid.
| [
{
"created": "Tue, 31 Dec 2019 10:40:58 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jan 2020 02:54:56 GMT",
"version": "v2"
}
] | 2020-01-03 | [
[
"Yukita",
"Tomoshige",
""
]
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] | 1,225,156 |
1912.13261 | Yan Li | Haigang Li and Yan Li | An extended Flaherty-Keller formula for an elastic composite with
densely packed convex inclusions | 26 pages, 5 figures | null | null | null | math.AP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we are concerned with the effective elastic property of a
two-phase high-contrast periodic composite with densely packed inclusions. The
equations of linear elasticity are assumed. We first give a novel proof of the
Flaherty-Keller formula for elliptic inclusions, which improves a recent result
of Kang and Yu (Calc.Var.Partial Differential Equations, 2020). We construct an
auxiliary function consisting of the Keller function and an additional
corrected function depending on the coefficients of Lam\'e system and the
geometry of inclusions, to capture the full singular term of the gradient. On
the other hand, this method allows us to deal with the inclusions of arbitrary
shape, even with zero curvature. An extended Flaherty-Keller formula is proved
for m-convex inclusions, m > 2, curvilinear squares with round off angles,
which minimize the elastic modulus under the same volume fraction of hard
inclusions.
| [
{
"created": "Tue, 31 Dec 2019 10:44:23 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Apr 2020 05:22:27 GMT",
"version": "v2"
}
] | 2020-04-30 | [
[
"Li",
"Haigang",
""
],
[
"Li",
"Yan",
""
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] | 1,225,157 |
1912.13262 | Andrew Adamatzky | Andrew Adamatzky, Phil Ayres, Gianluca Belotti, Han Wosten | Fungal architecture | The position paper to be published in the International Journal of
Unconventional Computing | null | null | null | cs.ET | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | As one of the primary consumers of environmental resource, the building
industry faces unprecedented challenges in needing to reduce the environmental
impact of current consumption practices. This applies to both the construction
of the built environment and resource consumption during its occupation and
use. Where incremental improvements to current practices can be realised, the
net benefits are often far outstripped by the burgeoning demands of rapidly
increasing population growth and urbanisation. Against the backdrop of this
grand societal challenge, it is necessary to explore approaches that envision a
paradigm shift in how material is sourced, processed and assembled to address
the magnitude of these challenges in a truly sustainable way, and which can
even provide added value. We propose to develop a structural substrate by using
live fungal mycelium, functionalise the substrate with nanoparticles and
polymers to make a mycelium-based electronics, implement sensorial fusion and
decision making in the fungal electronics and to growing monolithic buildings
from the functionalised fungal substrate. Fungal buildings will self-grow,
build, and repair themselves subject to substrate supplied, use natural
adaptation to the environment, sense all what human can sense.
| [
{
"created": "Tue, 31 Dec 2019 10:54:58 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Adamatzky",
"Andrew",
""
],
[
"Ayres",
"Phil",
""
],
[
"Belotti",
"Gianluca",
""
],
[
"Wosten",
"Han",
""
]
] | 19 | [
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1912.13263 | Gianluca Baldassarre PhD | Gianluca Baldassarre | Intrinsic motivations and open-ended learning | 24 pages, 2 figures, 2 tables, preprint | null | null | null | cs.AI cs.LG stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | There is a growing interest and literature on intrinsic motivations and
open-ended learning in both cognitive robotics and machine learning on one
side, and in psychology and neuroscience on the other. This paper aims to
review some relevant contributions from the two literature threads and to draw
links between them. To this purpose, the paper starts by defining intrinsic
motivations and by presenting a computationally-driven theoretical taxonomy of
their different types. Then it presents relevant contributions from the
psychological and neuroscientific literature related to intrinsic motivations,
interpreting them based on the grid, and elucidates the mechanisms and
functions they play in animals and humans. Endowed with such concepts and their
biological underpinnings, the paper next presents a selection of models from
cognitive robotics and machine learning that computationally operationalise the
concepts of intrinsic motivations and links them to biology concepts. The
contribution finally presents some of the open challenges of the field from
both the psychological/neuroscientific and computational perspectives.
| [
{
"created": "Tue, 31 Dec 2019 10:56:02 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
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"Gianluca",
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0.8355268239974976,
-0.6623284220695496,
0.7673344016075134,
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] | 1,225,159 |
1912.13264 | Lukas Schimmer | Lukas Schimmer | Improved sharp spectral inequalities for Schr\"odinger operators on the
semi-axis | 14 pages; revised and final version with additional Section 4.2; to
appear in J. Spectr. Theory | null | null | null | math.SP math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove a Lieb--Thirring inequality for Schr\"odinger operators
$-\frac{\mathrm{d}^2}{\mathrm{d}x^2}+V$ on the semi-axis with Robin boundary
condition at the origin. The result improves on a bound obtained by P.~Exner,
A.~Laptev and M.~Usman [Commun.~Math.~Phys. 362(2), 531--541 (2014)] albeit
under the additional assumption $V\in L^1(\mathbb{R}_+)$. The main difference
in our proof is that we use the double commutation method in place of the
single commutation method. We also establish an improved inequality in the case
of a Dirichlet boundary condition.
| [
{
"created": "Tue, 31 Dec 2019 11:02:40 GMT",
"version": "v1"
},
{
"created": "Sat, 28 May 2022 19:13:42 GMT",
"version": "v2"
}
] | 2022-05-31 | [
[
"Schimmer",
"Lukas",
""
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] | 1,225,160 |
1912.13265 | Marek Ptak | M. Cristina C\^amara, Kamila Kli\'s--Garlicka, Bartosz {\L}anucha, and
Marek Ptak | Conjugations in $L^2$ and their invariants | null | null | null | null | math.FA math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Conjugations in space $L^2$ of the unit circle commuting with multiplication
by $z$ or intertwining multiplications by $z$ and $\bar z$ are characterized.
We also study their behaviour with respect to the Hardy space, subspaces
invariant for the unilateral shift and model spaces.
| [
{
"created": "Tue, 31 Dec 2019 11:04:39 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Câmara",
"M. Cristina",
""
],
[
"Kliś--Garlicka",
"Kamila",
""
],
[
"Łanucha",
"Bartosz",
""
],
[
"Ptak",
"Marek",
""
]
] | 19 | [
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] | 1,225,161 |
1912.13266 | Kamila Kli\'s-Garlicka | M. Cristina C\^amara, Kamila Kli\'s-Garlicka, Bartosz {\L}anucha and
Marek Ptak | Invertibility, Fredholmness and kernels of dual truncated Toeplitz
operators | null | null | null | null | math.FA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Asymmetric dual truncated Toeplitz operators acting between the orthogonal
complements of two (eventually different) model spaces are introduced and
studied. They are shown to be equivalent after extension to paired operators on
$L^2(\mathbb T) \oplus L^2(\mathbb T)$ and, if their symbols are invertible in
$L^\infty(\mathbb T)$, to asymmetric truncated Toeplitz operators with the
inverse symbol. Relations with Carleson's corona theorem are also established.
These results are used to study the Fredholmness, the invertibility and the
spectra of various classes of dual truncated Toeplitz operators.
| [
{
"created": "Tue, 31 Dec 2019 11:06:22 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Câmara",
"M. Cristina",
""
],
[
"Kliś-Garlicka",
"Kamila",
""
],
[
"Łanucha",
"Bartosz",
""
],
[
"Ptak",
"Marek",
""
]
] | 19 | [
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] | 1,225,162 |
1912.13267 | Manuel Rivera | Manuel Rivera and Zhengfang Wang | Invariance of the Goresky-Hingston algebra on reduced Hochschild
homology | Final version to appear in the Proceedings of the London Mathematical
Society. The presentation and exposition were improved following the
suggestions of an anonymous referee. In particular, we have added an outline
of the proof of our main result in the introduction | null | null | null | math.AT math.QA math.RA math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove that two quasi-isomorphic simply connected differential graded
associative Frobenius algebras have isomorphic Goresky-Hingston algebras on
their reduced Hochschild homology. Our proof is based on relating the
Goresky-Hingston algebra on reduced Hochschild homology to the singular
Hochschild cohomology algebra. For any simply connected oriented closed
manifold $M$ of dimension $k$, the Goresky-Hingston algebra on reduced
Hochschild homology induces an algebra structure of degree $k-1$ on
$\bar{H}^*(LM;\mathbb{Q})$, the reduced rational cohomology of the free loop
space of $M$. As a consequence of our algebraic result, we deduce that the
isomorphism class of the induced algebra structure on
$\bar{H}^*(LM;\mathbb{Q})$ is an invariant of the homotopy type of $M$.
| [
{
"created": "Tue, 31 Dec 2019 11:07:27 GMT",
"version": "v1"
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{
"created": "Wed, 1 Jan 2020 12:16:01 GMT",
"version": "v2"
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{
"created": "Mon, 13 Jan 2020 15:18:28 GMT",
"version": "v3"
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{
"created": "Thu, 24 Dec 2020 00:53:03 GMT",
"version": "v4"
},
{
"created": "Wed, 5 Jan 2022 22:29:31 GMT",
"version": "v5"
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] | 2022-01-07 | [
[
"Rivera",
"Manuel",
""
],
[
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"Zhengfang",
""
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] | 1,225,163 |
1912.13268 | Michael Semenov-Tian-Shansky | Michael Semenov-Tian-Shansky | Quantum Toda Lattice: a Challenge for Representation Theory | 27 pages | null | null | null | math.RT math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum Toda lattice may solved by means of the Representation Theory of
semisimple Lie groups, or alternatively by using the technique of the Quantum
Inverse Scattering Method. A comparison of the two approaches, which is the
purpose of the present review article, sheds a new light on Representation
Theory and leads to a number of challenging questions.
| [
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] | 1,225,164 |
1912.13269 | Arghya Das | Arghya Das, Abhishek Dhar and Anupam Kundu | Gap statistics of two interacting run and tumble particles in one
dimension | 29 pages, 9 figures | null | 10.1088/1751-8121/ab9cf3 | null | cond-mat.stat-mech cond-mat.soft | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the dynamics of the separation (gap) between a pair of interacting
run and tumble particles (RTPs) moving in one dimension in the presence of
additional thermal noise. On a ring geometry the distribution of the gap
approaches a steady state. We analytically compute this distribution and find
that this is exponentially localised in space, in contrast to the `jammed'
configuration, seen earlier in the absence of thermal noise. We also study the
relaxation which is an exponential, characterised by a time scale $\tau_r$. We
observe that this time scale undergoes a crossover from a size independent
value to a size dependent form with increasing size $l$ of the ring. We study
the full eigenvalue spectrum of the evolution operator $\mathcal{L}$ and find
that the spectrum can be classified into four sectors depending on the
symmetries of $\mathcal{L}$. For large $l$, we find explicit expressions for
the low lying eigenvalues in each of the sectors. On infinite line the
separation does not reach a steady state. In the long times we find that the
particles behave as interacting Brownian particles, except for the presence of
a peak in the distribution at small separation which is a remnant of activity.
| [
{
"created": "Tue, 31 Dec 2019 11:08:36 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Jan 2020 07:24:41 GMT",
"version": "v2"
}
] | 2020-08-26 | [
[
"Das",
"Arghya",
""
],
[
"Dhar",
"Abhishek",
""
],
[
"Kundu",
"Anupam",
""
]
] | 19 | [
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] | 1,225,165 |
1912.13270 | Marek Ptak | M. Cristina C\^amara, Kamila Kli\'s--Garlicka, Bartosz {\L}anucha, and
Marek Ptak | Conjugations in $L^2(\mathcal{H})$ | null | null | null | null | math.FA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Conjugations commuting with $\mathbf{M}_z$ and intertwining $\mathbf{M}_z$
and $\mathbf{M}_{\bar z}$ in $L^2(\mathcal{H})$, where $\mathcal{H}$ is a
Hilbert space, are characterized. We also investigate which of them leave
invariant the whole Hardy space $H^2(\mathcal{H})$ or a model space
$K_{\Theta}=H^2(\mathcal{H})\ominus\Theta H^2(\mathcal{H})$, where $\Theta$ is
a pure operator valued inner function.
| [
{
"created": "Tue, 31 Dec 2019 11:13:56 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Câmara",
"M. Cristina",
""
],
[
"Kliś--Garlicka",
"Kamila",
""
],
[
"Łanucha",
"Bartosz",
""
],
[
"Ptak",
"Marek",
""
]
] | 19 | [
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] | 1,225,166 |
1912.13271 | Francisco Dominguez-Adame | Miguel A. Sierra, David Sanchez, Rafael Gutierrez, Gianaurelio
Cuniberti, Francisco Dominguez-Adame and Elena Diaz | Spin-polarized electron transmission in DNA-like systems | null | Biomolecules 10, 49 (2020) | 10.3390/biom10010049 | null | cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The helical distribution of the electronic density in chiral molecules, such
as DNA and bacteriorhodopsin, has been suggested to induce a spin-orbit
coupling interaction that may lead to the so-called chirality-induced spin
selectivity (CISS) effect. Key ingredients for the theoretical modelling are,
in this context, the helically shaped potential of the molecule and,
concomitantly, a Rashba-like spin-orbit coupling due to the appearance of a
magnetic field in the electron reference frame. Symmetries of these models
clearly play a crucial role in explaining the observed effect, but a thorough
analysis has been largely ignored in the literature. In this work, we present a
study of these symmetries and how they can be exploited to enhance
chiral-induced spin selectivity in helical molecular systems.
| [
{
"created": "Tue, 31 Dec 2019 11:22:07 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Sierra",
"Miguel A.",
""
],
[
"Sanchez",
"David",
""
],
[
"Gutierrez",
"Rafael",
""
],
[
"Cuniberti",
"Gianaurelio",
""
],
[
"Dominguez-Adame",
"Francisco",
""
],
[
"Diaz",
"Elena",
""
]
] | 19 | [
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] | 1,225,167 |
1912.13272 | Alexander Teretenkov | A.E. Teretenkov | Exact non-Markovian evolution with multiple reservoirs | null | Phys. Part. Nuclei 51, 479-484 (2020) | 10.1134/S1063779620040711 | null | quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The model of a multi-level system interacting with several reservoirs is
considered. The exact reduced density matrix evolution could be obtained for
this model without Markov approximation. Namely, this evolution is fully
defined by the finite set of linear differential equations. In this work the
results which were obtained previously for only one Lorentz peak in the
spectral density are generalized to the case of an arbitrary number of such
peaks. The case of the Ohmic contribution in the spectral density is also taken
here into account.
| [
{
"created": "Tue, 31 Dec 2019 11:22:20 GMT",
"version": "v1"
}
] | 2020-09-22 | [
[
"Teretenkov",
"A. E.",
""
]
] | 19 | [
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] | 1,225,168 |
1912.13273 | Albrecht Kurze | Albrecht Kurze, Arne Berger, Teresa Denefleh | From Ideation to Implications: Directions for the Internet of Things in
the Home | Proceedings of the CHI 2019 Workshop on New Directions for the IoT:
Automate, Share, Build, and Care, (arXiv:1906.06089) | null | null | IOTD/2019/05 | cs.HC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we give a brief overview of our approaches and ongoing work for
future directions of the Internet of Things (IoT) with a focus on the IoT in
the home. We highlight some of our activities including tools and methods for
an ideation-driven approach as well as for an implications-driven approach. We
point to some findings of workshops and empirical field-studies. We show
examples for new classes of idiosyncratic IoT devices, how implications emerge
by (mis)using sensor data and how users interacted with IoT systems in shared
spaces.
| [
{
"created": "Tue, 31 Dec 2019 11:30:04 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Kurze",
"Albrecht",
""
],
[
"Berger",
"Arne",
""
],
[
"Denefleh",
"Teresa",
""
]
] | 19 | [
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] | 1,225,169 |
1912.13274 | Naoya Iwahara | Zhishuo Huang, Dan Liu, Akseli Mansikkam\"aki, Veacheslav Vieru, Naoya
Iwahara, and Liviu F. Chibotaru | Ferromagnetic kinetic exchange interaction in magnetic insulators | Main text: 13 pages, 8 figures | Phys. Rev. Research 2, 033430 (2020) | 10.1103/PhysRevResearch.2.033430 | Phys. Rev. Research 2, 033430 (2020) | cond-mat.str-el cond-mat.mtrl-sci physics.chem-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The superexchange theory predicts dominant antiferromagnetic kinetic
interaction when the orbitals accommodating magnetic electrons are covalently
bonded through diamagnetic bridging atoms/groups. Here we show that explicit
consideration of magnetic and (leading) bridging orbitals, together with the
electron transfer between the former, reveals a strong ferromagnetic kinetic
exchange contribution. First principle calculations show that it is comparable
in strength with antiferromagnetic superexchange in a number of magnetic
materials with diamagnetic metal bridges. In particular, it is responsible for
a very large ferromagnetic coupling ($-10$ meV) between the iron ions in a
Fe$^{3+}$-Co$^{3+}$-Fe$^{3+}$ complex.
| [
{
"created": "Tue, 31 Dec 2019 11:35:15 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Mar 2020 06:17:49 GMT",
"version": "v2"
},
{
"created": "Mon, 31 Aug 2020 14:28:43 GMT",
"version": "v3"
}
] | 2020-09-23 | [
[
"Huang",
"Zhishuo",
""
],
[
"Liu",
"Dan",
""
],
[
"Mansikkamäki",
"Akseli",
""
],
[
"Vieru",
"Veacheslav",
""
],
[
"Iwahara",
"Naoya",
""
],
[
"Chibotaru",
"Liviu F.",
""
]
] | 19 | [
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] | 1,225,170 |
1912.13275 | Valentina Macchiati | V. Macchiati, G. Brandi, G. Cimini, G. Caldarelli, D. Paolotti, T. Di
Matteo | Systemic liquidity contagion in the European interbank market | 32 pages, 24 figures Submitted to Journal of Economic Interaction and
Coordination | Journal of Economic Interaction and Coordination (2021) | 10.1007/s11403-021-00338-1 | null | q-fin.RM physics.soc-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Systemic liquidity risk, defined by the IMF as "the risk of simultaneous
liquidity difficulties at multiple financial institutions", is a key topic in
macroprudential policy and financial stress analysis. Specialized models to
simulate funding liquidity risk and contagion are available but they require
not only banks' bilateral exposures data but also balance sheet data with
sufficient granularity, which are hardly available. Alternatively, risk
analyses on interbank networks have been done via centrality measures of the
underlying graph capturing the most interconnected and hence more prone to risk
spreading banks. In this paper, we propose a model which relies on an epidemic
model which simulate a contagion on the interbank market using the funding
liquidity shortage mechanism as contagion process. The model is enriched with
country and bank risk features which take into account the heterogeneity of the
interbank market. The proposed model is particularly useful when full set of
data necessary to run specialized models is not available. Since the interbank
network is not fully available, an economic driven reconstruction method is
also proposed to retrieve the interbank network by constraining the standard
reconstruction methodology to real financial indicators. We show that the
contagion model is able to reproduce systemic liquidity risk across different
years and countries. This result suggests that the proposed model can be
successfully used as a valid alternative to more complex ones.
| [
{
"created": "Tue, 31 Dec 2019 11:42:34 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Sep 2020 15:30:20 GMT",
"version": "v2"
}
] | 2021-12-08 | [
[
"Macchiati",
"V.",
""
],
[
"Brandi",
"G.",
""
],
[
"Cimini",
"G.",
""
],
[
"Caldarelli",
"G.",
""
],
[
"Paolotti",
"D.",
""
],
[
"Di Matteo",
"T.",
""
]
] | 19 | [
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] | 1,225,171 |
1912.13276 | Shervin Rahimzadeh Arashloo | Shervin Rahimzadeh Arashloo | Unseen Face Presentation Attack Detection Using Class-Specific Sparse
One-Class Multiple Kernel Fusion Regression | null | null | null | null | cs.CV | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The paper addresses face presentation attack detection in the challenging
conditions of an unseen attack scenario where the system is exposed to novel
presentation attacks that were not present in the training step. For this
purpose, a pure one-class face presentation attack detection approach based on
kernel regression is developed which only utilises bona fide (genuine) samples
for training. In the context of the proposed approach, a number of innovations,
including multiple kernel fusion, client-specific modelling, sparse
regularisation and probabilistic modelling of score distributions are
introduced to improve the efficacy of the method. The results of experimental
evaluations conducted on the OULU-NPU, Replay-Mobile, Replay-Attack and
MSU-MFSD datasets illustrate that the proposed method compares very favourably
with other methods operating in an unseen attack detection scenario while
achieving very competitive performance to multi-class methods (benefiting from
presentation attack data for training) despite using only bona fide samples for
training.
| [
{
"created": "Tue, 31 Dec 2019 11:53:20 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Arashloo",
"Shervin Rahimzadeh",
""
]
] | 19 | [
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] | 1,225,172 |
1912.13277 | Julia Bernatska | Julia Bernatska, Yaacov Kopeliovich | Addition of Divisors on Hyperelliptic Curves via Interpolation
Polynomials | null | SIGMA 16 (2020), 053, 21 pages | 10.3842/SIGMA.2020.053 | null | math.AG math.CO math.NT | http://creativecommons.org/licenses/by-sa/4.0/ | Two problems are addressed: reduction of an arbitrary degree non-special
divisor to the equivalent divisor of the degree equal to genus of a curve, and
addition of divisors of arbitrary degrees. The hyperelliptic case is considered
as the simplest model. Explicit formulas defining reduced divisors for some
particular cases are found. The reduced divisors are obtained in the form of
solution of the Jacobi inversion problem which provides the way of computing
Abelian functions on arbitrary non-special divisors. An effective reduction
algorithm is proposed, which has the advantage that it involves only arithmetic
operations on polynomials. The proposed addition algorithm contains more
details comparing with the known in cryptography, and is extended to divisors
of arbitrary degrees comparing with the known in the theory of hyperelliptic
functions.
| [
{
"created": "Tue, 31 Dec 2019 12:02:07 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jan 2020 07:17:33 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Feb 2020 18:27:40 GMT",
"version": "v3"
},
{
"created": "Sun, 12 Apr 2020 21:14:01 GMT",
"version": "v4"
},
{
"created": "Sun, 14 Jun 2020 07:47:01 GMT",
"version": "v5"
}
] | 2020-06-16 | [
[
"Bernatska",
"Julia",
""
],
[
"Kopeliovich",
"Yaacov",
""
]
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] | 1,225,173 |
1912.13278 | Shixuan Zhang | Shixuan Zhang, Xu Andy Sun | Stochastic Dual Dynamic Programming for Multistage Stochastic
Mixed-Integer Nonlinear Optimization | null | null | null | null | math.OC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we study multistage stochastic mixed-integer nonlinear
programs (MS-MINLP). This general class of problems encompasses, as important
special cases, multistage stochastic convex optimization with non-Lipschitzian
value functions and multistage stochastic mixed-integer linear optimization. We
develop stochastic dual dynamic programming (SDDP) type algorithms with nested
decomposition, deterministic sampling, and stochastic sampling. The key
ingredient is a new type of cuts based on generalized conjugacy. Several
interesting classes of MS-MINLP are identified, where the new algorithms are
guaranteed to obtain the global optimum without the assumption of complete
recourse. This significantly generalizes the classic SDDP algorithms. We also
characterize the iteration complexity of the proposed algorithms. In
particular, for a $(T+1)$-stage stochastic MINLP with $d$-dimensional state
spaces, to obtain an $\epsilon$-optimal root node solution, we prove that the
number of iterations of the proposed deterministic sampling algorithm is upper
bounded by $\mathcal{O}((\frac{2T}{\epsilon})^d)$, and is lower bounded by
$\mathcal{O}((\frac{T}{4\epsilon})^d)$ for the general case or by
$\mathcal{O}((\frac{T}{8\epsilon})^{d/2-1})$ for the convex case. This shows
that the obtained complexity bounds are rather sharp. It also reveals that the
iteration complexity depends polynomially on the number of stages. We further
show that the iteration complexity depends linearly on $T$, if all the state
spaces are finite sets, or if we seek a $(T\epsilon)$-optimal solution when the
state spaces are infinite sets, i.e. allowing the optimality gap to scale with
$T$. To the best of our knowledge, this is the first work that reports global
optimization algorithms as well as iteration complexity results for solving
such a large class of multistage stochastic programs.
| [
{
"created": "Tue, 31 Dec 2019 12:04:32 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Jan 2020 04:01:06 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Jan 2021 02:41:30 GMT",
"version": "v3"
},
{
"created": "Thu, 11 Nov 2021 03:52:56 GMT",
"version": "v4"
},
{
"created": "Fri, 20 May 2022 17:33:50 GMT",
"version": "v5"
}
] | 2022-05-23 | [
[
"Zhang",
"Shixuan",
""
],
[
"Sun",
"Xu Andy",
""
]
] | 19 | [
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] | 1,225,174 |
1912.13279 | Vasilis Chousionis | Vasileios Chousionis, Sean Li, Scott Zimmerman | Singular integrals on $C^{1,\alpha}$ regular curves in Carnot groups | null | null | null | null | math.CA math.MG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Let $\mathbb{G}$ be any Carnot group. We prove that if a convolution type
singular integral associated with a $1$-dimensional Calder\'on-Zygmund kernel
is $L^2$-bounded on horizontal lines, with uniform bounds, then it is bounded
in $L^p, p \in (1,\infty),$ on any compact $C^{1,\alpha}, \alpha \in (0,1],$
regular curve in $\mathbb{G}$.
| [
{
"created": "Tue, 31 Dec 2019 12:07:13 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jan 2020 03:23:01 GMT",
"version": "v2"
}
] | 2020-01-06 | [
[
"Chousionis",
"Vasileios",
""
],
[
"Li",
"Sean",
""
],
[
"Zimmerman",
"Scott",
""
]
] | 19 | [
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] | 1,225,175 |
1912.13280 | Jan Honolka | Jan Fik\'a\v{c}ek, Vitalii Stetsovych, Martin Vondr\'a\v{c}ek, Pavel
Proch\'azka, Stanislav Pr\r{u}\v{s}a, Lukas Kormo\v{s}, Jan \v{C}echal,
Ondrej Caha, Tom\'a\v{s} Sk\'ala, Petru Vlaic, Karel Carva, Gunther
Springholz, Jan Honolka | Step-edge assisted large scale FeSe monolayer growth on epitaxial Bi2Se3
thin films | 11 pages, 8 figures | null | 10.1088/1367-2630/ab9b59 | null | cond-mat.mtrl-sci cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The interest in Fe-chalcogenide unconventional superconductors is intense
after the critical temperature of FeSe was reported enhanced by more than one
order of magnitude in the monolayer limit at the interface to an insulating
oxide substrate. In heterostructures comprising interfaces of FeSe with
topological insulators, additional interesting physical phenomena is predicted
to arise e.g. in form of {\it topological superconductivity}. So far
superconductive properties of Fe-chalcogenide monolayers were mostly studied by
local scanning tunneling spectroscopy experiments, which can detect pseudo-gaps
in the density of states as an indicator for Cooper pairing. Direct macroscopic
transport properties which can prove or falsify a superconducting phase were
rarely reported due to the difficulty to grow films with homogeneous material
properties. Here we report on a promising growth method to fabricate continuous
carpets of monolayer thick FeSe on molecular beam epitaxy grown Bi$_2$Se$_3$
topological insulator thin films. In contrast to previous works using
atomically flat cleaved bulk Bi$_2$Se$_3$ crystal surfaces we observe a strong
influence of the high step-edge density (terrace width about 10~nm) on
MBE-grown Bi$_2$Se$_3$ substrates, which significantly promotes the growth of
coalescing FeSe domains with small tetragonal crystal distortion without
compromising the underlying Bi$_2$Se$_3$ crystal structure.
| [
{
"created": "Tue, 31 Dec 2019 12:07:56 GMT",
"version": "v1"
}
] | 2020-08-26 | [
[
"Fikáček",
"Jan",
""
],
[
"Stetsovych",
"Vitalii",
""
],
[
"Vondráček",
"Martin",
""
],
[
"Procházka",
"Pavel",
""
],
[
"Průša",
"Stanislav",
""
],
[
"Kormoš",
"Lukas",
""
],
[
"Čechal",
"Jan",
""
],
[
"Caha",
"Ondrej",
""
],
[
"Skála",
"Tomáš",
""
],
[
"Vlaic",
"Petru",
""
],
[
"Carva",
"Karel",
""
],
[
"Springholz",
"Gunther",
""
],
[
"Honolka",
"Jan",
""
]
] | 19 | [
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] | 1,225,176 |
1912.13281 | Paolo Molaro | Paolo Molaro, Luca Izzo, Piercarlo Bonifacio, Margarita Hernanz,
Pierluigi Selvelli, Massimo Della Valle | Search for 7Be in the outburst of four recent novae | 13 pages, 12 figures, accepted MNRAS | null | 10.1093/mnras/stz3587 | null | astro-ph.GA astro-ph.SR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Following the recent detection of 7Be in the outburst spectra of Classical
Novae we report the search for this isotope in the outbursts of four recent
bright novae by means of high resolution UVES observations. The 7BeII 313.0583,
313.1228 nm doublet resonance lines are detected in the high velocity
components of Nova Mus 2018 and ASASSN-18fv during outburst. On the other hand
7BeII is neither detected in ASASSN-17hx and possibly nor in Nova Cir 2018,
therefore showing that the 7BeII is not always ejected in the thermonuclear
runaway. Taking into account the 7Be decay we find X(7Be)/X(H) approx 1.5 x10
^{-5} and 2.2 x 10 ^{-5} in Nova Mus 2018 and ASASSN-18fv, respectively. A
value of 7Be/H about 2 x10 ^{-5} is found in 5 out of the 7 extant measurements
and it might be considered as a typical 7Be yield for novae. However, this
value is almost one order of magnitude larger than predicted by current
theoretical models. We argue that the variety of high 7Be/H abundances could be
originated in a higher than solar content of 3He in the donor star. The cases
with 7Be not detected might be related to a small mass of the WD or to
relatively little mixing with the core material of the WD. The 7Be /H, or
7Li/H, abundance is about 4 dex above meteoritic thus confirming the novae as
the main sources of 7Li in the Milky Way.
| [
{
"created": "Tue, 31 Dec 2019 12:09:21 GMT",
"version": "v1"
}
] | 2020-02-12 | [
[
"Molaro",
"Paolo",
""
],
[
"Izzo",
"Luca",
""
],
[
"Bonifacio",
"Piercarlo",
""
],
[
"Hernanz",
"Margarita",
""
],
[
"Selvelli",
"Pierluigi",
""
],
[
"Della Valle",
"Massimo",
""
]
] | 19 | [
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] | 1,225,177 |
1912.13282 | Jure Slak | Jure Slak and Gregor Kosec | Medusa: A C++ Library for solving PDEs using Strong Form Mesh-Free
methods | null | ACM Transactions on Mathematical Software 47(3), June 2021 | 10.1145/3450966 | null | cs.MS cs.NA math.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Medusa, a novel library for implementation of strong form mesh-free methods,
is described. We identify and present common parts and patterns among many such
methods reported in the literature, such as node positioning, stencil selection
and stencil weight computation. Many different algorithms exist for each part
and the possible combinations offer a plethora of possibilities for
improvements of solution procedures that are far from fully understood. As a
consequence there are still many unanswered questions in mesh-free community
resulting in vivid ongoing research in the field. Medusa implements the core
mesh-free elements as independent blocks, which offers users great flexibility
in experimenting with the method they are developing, as well as easily
comparing it with other existing methods. The paper describes the chosen
abstractions and their usage, illustrates aspects of the philosophy and design,
offers some executions time benchmarks and demonstrates the application of the
library on cases from linear elasticity and fluid flow in irregular 2D and 3D
domains.
| [
{
"created": "Tue, 31 Dec 2019 12:11:17 GMT",
"version": "v1"
}
] | 2021-07-07 | [
[
"Slak",
"Jure",
""
],
[
"Kosec",
"Gregor",
""
]
] | 19 | [
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] | 1,225,178 |
1912.13283 | Alon Talmor | Alon Talmor, Yanai Elazar, Yoav Goldberg, Jonathan Berant | oLMpics -- On what Language Model Pre-training Captures | TACL 2020 | null | null | null | cs.CL cs.AI cs.LG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent success of pre-trained language models (LMs) has spurred widespread
interest in the language capabilities that they possess. However, efforts to
understand whether LM representations are useful for symbolic reasoning tasks
have been limited and scattered. In this work, we propose eight reasoning
tasks, which conceptually require operations such as comparison, conjunction,
and composition. A fundamental challenge is to understand whether the
performance of a LM on a task should be attributed to the pre-trained
representations or to the process of fine-tuning on the task data. To address
this, we propose an evaluation protocol that includes both zero-shot evaluation
(no fine-tuning), as well as comparing the learning curve of a fine-tuned LM to
the learning curve of multiple controls, which paints a rich picture of the LM
capabilities. Our main findings are that: (a) different LMs exhibit
qualitatively different reasoning abilities, e.g., RoBERTa succeeds in
reasoning tasks where BERT fails completely; (b) LMs do not reason in an
abstract manner and are context-dependent, e.g., while RoBERTa can compare
ages, it can do so only when the ages are in the typical range of human ages;
(c) On half of our reasoning tasks all models fail completely. Our findings and
infrastructure can help future work on designing new datasets, models and
objective functions for pre-training.
| [
{
"created": "Tue, 31 Dec 2019 12:11:35 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Nov 2020 08:24:06 GMT",
"version": "v2"
}
] | 2020-11-20 | [
[
"Talmor",
"Alon",
""
],
[
"Elazar",
"Yanai",
""
],
[
"Goldberg",
"Yoav",
""
],
[
"Berant",
"Jonathan",
""
]
] | 19 | [
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1912.13284 | Xin Wang | Xin Wang | Lepton Flavor Mixing and CP Violation in the Minimal Type-(I+II) Seesaw
Model with a Modular $A_4$ Symmetry | 25 pages, 5 figures. Matches version published in NPB. arXiv admin
note: text overlap with arXiv:1910.09473 | null | 10.1016/j.nuclphysb.2020.115105 | null | hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we study the implications of the modular $A^{}_4$ flavor
symmetry in constructing a supersymmetric minimal type-(I+II) seesaw model, in
which only one right-handed neutrino and two Higgs triplets are introduced to
account for the tiny neutrino masses, flavor mixing and CP violation. The
right-handed neutrino as well as the Higgs triplets in this model are assigned
into the trivial one-dimensional irreducible representation of the modular
group $A^{}_{4}$. We show that the individual contributions to the neutrino
masses from the right-handed neutrino and the Higgs triplet are comparable. We
also find that the neutrino mass matrix can possess an approximate $\mu-\tau$
reflection symmetry for some specific values of free model parameters.
Moreover, our model predicts relatively large masses of three light neutrinos,
thus can be easily tested in future neutrino experiments.
| [
{
"created": "Tue, 31 Dec 2019 12:13:26 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Jul 2020 05:28:09 GMT",
"version": "v2"
}
] | 2020-08-26 | [
[
"Wang",
"Xin",
""
]
] | 19 | [
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] | 1,225,180 |
1912.13285 | Nail Akar | Omer Gursoy and Kamal Adli Mehr and Nail Akar | The MAP/M/s+G Call Center Model with General Patience Times: Stationary
Solutions and First Passage Times | 21 pages, 14 tables, 3 figures | Journal of Industrial Management and Optimization 2021 | 10.3934/jimo.2021078 | null | cs.PF cs.NA math.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the MAP/M/s+G queuing model with MAP (Markovian Arrival Process)
arrivals, exponentially distributed service times, infinite waiting room, and
generally distributed patience times. Using sample-path arguments, we propose
to obtain the steady-state distribution of the virtual waiting time and
subsequently the other relevant performance metrics of interest for the
MAP/M/s+G queue by means of finding the steady-state solution of a properly
constructed Continuous Feedback Fluid Queue (CFFQ). The proposed method is
exact when the patience time is a discrete random variable and is
asymptotically exact when it is continuous/hybrid for which case discretization
of the patience time distribution and subsequently the steady-state solution of
a Multi-Regime Markov Fluid Queue (MRMFQ) is required. Besides the steady-state
distribution, we also propose a new method to approximately obtain the first
passage time distribution for the virtual and actual waiting times in the
$MAP/M/s+G$ queue. Again, using sample-path arguments, finding the desired
distribution is also shown to reduce to obtaining the steady-state solution of
a larger dimensionality CFFQ where the deterministic time horizon is to be
approximated by Erlang or Concentrated Matrix Exponential (CME) distributions.
Numerical results are presented to validate the effectiveness of the proposed
method.
| [
{
"created": "Tue, 31 Dec 2019 12:15:30 GMT",
"version": "v1"
}
] | 2021-10-22 | [
[
"Gursoy",
"Omer",
""
],
[
"Mehr",
"Kamal Adli",
""
],
[
"Akar",
"Nail",
""
]
] | 19 | [
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] | 1,225,181 |
1912.13286 | Keerti Choudhary | Amotz Bar-Noy, Keerti Choudhary, David Peleg, Dror Rawitz | Graph Realizations: Maximum and Minimum Degree in Vertex Neighborhoods | 26 pages, 4 figures | null | null | null | cs.DS cs.DM | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The classical problem of degree sequence realizability asks whether or not a
given sequence of $n$ positive integers is equal to the degree sequence of some
$n$-vertex undirected simple graph. While the realizability problem of degree
sequences has been well studied for different classes of graphs, there has been
relatively little work concerning the realizability of other types of
information profiles, such as the vertex neighborhood profiles.
In this paper, we initiate the study of neighborhood degree profiles. We
focus on the natural problem of realizing maximum and minimum neighborhood
degrees. More specifically, we ask the following question: Given a sequence $D$
of $n$ non-negative integers $0\leq d_1\leq \cdots \leq d_n$, does there exist
a simple graph with vertices $v_1,\ldots, v_n$ such that for every $1\le i \le
n$, the maximum (resp. minimum) degree in the neighborhood of $v_i$ is exactly
$d_i$?
We provide in this work various results for both maximum as well as minimum
neighborhood degree for general $n$ vertex graphs. Our results are first of its
kind that studies extremal neighborhood degree profiles. For maximum
neighborhood degree profiles, we provide a {\em complete realizability
criteria}. In comparison, we observe that the minimum neighborhood profiles are
not so well-behaved, for these our necessary and sufficient conditions for
realizability {\em differ by a factor of at most two}.
| [
{
"created": "Tue, 31 Dec 2019 12:16:28 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Bar-Noy",
"Amotz",
""
],
[
"Choudhary",
"Keerti",
""
],
[
"Peleg",
"David",
""
],
[
"Rawitz",
"Dror",
""
]
] | 19 | [
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] | 1,225,182 |
1912.13287 | Keerti Choudhary | Amotz Bar-Noy, Keerti Choudhary, David Peleg, Dror Rawitz | Efficiently Realizing Interval Sequences | 19 pages, 1 figure | null | null | null | cs.DS cs.DM | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the problem of realizable interval-sequences. An interval
sequence comprises of $n$ integer intervals $[a_i,b_i]$ such that $0\leq a_i
\leq b_i \leq n-1$, and is said to be graphic/realizable if there exists a
graph with degree sequence, say, $D=(d_1,\ldots,d_n)$ satisfying the condition
$a_i \leq d_i \leq b_i$, for each $i \in [1,n]$. There is a characterisation
(also implying an $O(n)$ verifying algorithm) known for realizability of
interval-sequences, which is a generalization of the Erdos-Gallai
characterisation for graphic sequences. However, given any realizable
interval-sequence, there is no known algorithm for computing a corresponding
graphic certificate in $o(n^2)$ time.
In this paper, we provide an $O(n \log n)$ time algorithm for computing a
graphic sequence for any realizable interval sequence. In addition, when the
interval sequence is non-realizable, we show how to find a graphic sequence
having minimum deviation with respect to the given interval sequence, in the
same time. Finally, we consider variants of the problem such as computing the
most regular graphic sequence, and computing a minimum extension of a length
$p$ non-graphic sequence to a graphic one.
| [
{
"created": "Tue, 31 Dec 2019 12:19:13 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Bar-Noy",
"Amotz",
""
],
[
"Choudhary",
"Keerti",
""
],
[
"Peleg",
"David",
""
],
[
"Rawitz",
"Dror",
""
]
] | 19 | [
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] | 1,225,183 |
1912.13288 | Carlos I. P\'erez-S\'anchez | Carlos I. Perez-Sanchez | Computing the spectral action for fuzzy geometries: from random
noncommutative geometry to bi-tracial multimatrix models | 51 pages (45+6), some figures. v5. Minor amend to Prop. 4.1 and
syntax of Def. 2.2 | J. Noncommut. Geom. 16 (2022), no. 4, pp. 1137-1178 | 10.4171/JNCG/482 | null | math-ph hep-th math.CO math.MP math.PR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A fuzzy geometry is a certain type of spectral triple whose Dirac operator
crucially turns out to be a finite matrix. This notion was introduced in [J.
Barrett, J. Math. Phys. 56, 082301 (2015)] and accommodates familiar fuzzy
spaces like spheres and tori. In the framework of random noncommutative
geometry, we use Barrett's characterization of Dirac operators of fuzzy
geometries in order to systematically compute the spectral action $S(D)=
\mathrm{Tr} f(D)$ for $2n$-dimensional fuzzy geometries. In contrast to the
original Chamseddine-Connes spectral action, we take a polynomial $f$ with
$f(x)\to \infty$ as $ |x|\to\infty$ in order to obtain a well-defined path
integral that can be stated as a random matrix model with action of the type
$S(D)=N \cdot \mathrm{tr}\, F+\textstyle\sum_i \mathrm{tr}\,A_i \cdot
\mathrm{tr} \,B_i $, being $F,A_i $ and $B_i $ noncommutative polynomials in
$2^{2n-1}$ complex $N\times N$ matrices that parametrize the Dirac operator
$D$. For arbitrary signature---thus for any admissible KO-dimension---formulas
for 2-dimensional fuzzy geometries are given up to a sextic polynomial, and up
to a quartic polynomial for 4-dimensional ones, with focus on the octo-matrix
models for Lorentzian and Riemannian signatures. The noncommutative polynomials
$F,A_i $ and $B_i$ are obtained via chord diagrams and satisfy: independence of
$N$; self-adjointness of the main polynomial $F$ (modulo cyclic reordering of
each monomial); also up to cyclicity, either self-adjointness or
anti-self-adjointness of $A_i $ and $B_i $ simultaneously, for fixed $i$.
Collectively, this favors a free probabilistic perspective for the large-$N$
limit we elaborate on.
| [
{
"created": "Tue, 31 Dec 2019 12:29:34 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Jan 2020 15:01:42 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Jan 2020 14:10:39 GMT",
"version": "v3"
},
{
"created": "Mon, 27 Jan 2020 13:53:26 GMT",
"version": "v4"
},
{
"created": "Mon, 13 Jul 2020 14:20:09 GMT",
"version": "v5"
}
] | 2023-02-13 | [
[
"Perez-Sanchez",
"Carlos I.",
""
]
] | 19 | [
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] | 1,225,184 |
1912.13289 | Kenichiro Sato | Kenichiro Sato and Sumio Watanabe | Bayesian Generalization Error of Poisson Mixture and Simplex Vandermonde
Matrix Type Singularity | 33 pages | null | null | null | math.ST stat.TH | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A Poisson mixture is one of the practically important models in computer
science, biology, and sociology. However, the theoretical property has not been
studied because the posterior distribution can not be approximated by any
normal distribution. Such a model is called singular and it is known that Real
Log Canonical Threshold (RLCT) is equal to the coefficient of the
asymptotically main term of the Bayesian generalization error. In this paper,
we derive RLCT of a simplex Vandermonde matrix type singularity which is equal
to that of a Poisson mixture in general cases.
| [
{
"created": "Tue, 31 Dec 2019 12:32:09 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Sato",
"Kenichiro",
""
],
[
"Watanabe",
"Sumio",
""
]
] | 19 | [
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] | 1,225,185 |
1912.13290 | Vladimir Novik | N. S. Kulberg (1 and 3), A. B. Elizarov (1), V. P. Novik (1), V. A.
Gombolevsky (1), A. P. Gonchar (1), A. L. Alliua (2), V. Yu. Bosin (1), A. V.
Vladzymyrsky (1), S. P. Morozov (1) ((1) State Budget-Funded Health Care
Institution of the City of Moscow Research and Practical Clinical Center for
Diagnostics and Telemedicine Technologies of the Moscow Health Care
Department, (2) Federal State Budgetary Scientific Institution Russian
Scientific Center of Surgery named after Academician B.V. Petrovsky, (3)
Federal Research Center Computer Science and Control of Russian Academy of
Sciences) | Automatic segmentation and determining radiodensity of the liver in a
large-scale CT database | 16 pages, 8 figures | null | null | null | eess.IV cs.CV physics.med-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This study proposes an automatic technique for liver segmentation in computed
tomography (CT) images. Localization of the liver volume is based on the
correlation with an optimized set of liver templates developed by the authors
that allows clear geometric interpretation. Radiodensity values are calculated
based on the boundaries of the segmented liver, which allows identifying liver
abnormalities. The performance of the technique was evaluated on 700 CT images
from dataset of the Unified Radiological Information System (URIS) of Moscow.
Despite the decrease in accuracy, the technique is applicable to CT volumes
with a partially visible region of the liver. The technique can be used to
process CT images obtained in various patient positions in a wide range of
exposition parameters. It is capable in dealing with low dose CT scans in real
large-scale medical database with over 1 million of studies.
| [
{
"created": "Tue, 31 Dec 2019 12:41:05 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Kulberg",
"N. S.",
"",
"1 and 3"
],
[
"Elizarov",
"A. B.",
""
],
[
"Novik",
"V. P.",
""
],
[
"Gombolevsky",
"V. A.",
""
],
[
"Gonchar",
"A. P.",
""
],
[
"Alliua",
"A. L.",
""
],
[
"Bosin",
"V. Yu.",
""
],
[
"Vladzymyrsky",
"A. V.",
""
],
[
"Morozov",
"S. P.",
""
]
] | 19 | [
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] | 1,225,186 |
1912.13291 | Kui Du | Kui Du, Xiaohui Sun | A doubly stochastic block Gauss-Seidel algorithm for solving linear
equations | 14 pages, 2 figures. More general results are given in this version | null | null | null | math.NA cs.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a simple doubly stochastic block Gauss--Seidel algorithm for
solving linear systems of equations. By varying the row partition parameter and
the column partition parameter of the coefficient matrix, we recover the
Landweber algorithm, the randomized Kaczmarz algorithm, the randomized
Gauss--Seidel algorithm, and the doubly stochastic Gauss--Seidel algorithm. For
general (consistent or inconsistent) linear systems, we show the exponential
convergence of the {\it norms of the expected iterates} via exact formulas. For
consistent linear systems, we prove the exponential convergence of the {\it
expected norms of the error and the residual}. Numerical experiments are given
to illustrate the efficiency of the proposed algorithm.
| [
{
"created": "Tue, 31 Dec 2019 12:42:26 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jan 2020 12:48:41 GMT",
"version": "v2"
},
{
"created": "Wed, 8 Jul 2020 03:58:47 GMT",
"version": "v3"
}
] | 2020-07-09 | [
[
"Du",
"Kui",
""
],
[
"Sun",
"Xiaohui",
""
]
] | 19 | [
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] | 1,225,187 |
1912.13292 | Vladimir Vovk | Vladimir Vovk and Ruodu Wang | Confidence and discoveries with e-values | 50 pages, 13 figures, and 5 tables | Statistical Science 38, 329-354 (2023) | 10.1214/22-STS874 | null | math.ST stat.TH | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss systematically two versions of confidence regions: those based on
p-values and those based on e-values, a recent alternative to p-values. Both
versions can be applied to multiple hypothesis testing, and in this paper we
are interested in procedures that control the number of false discoveries under
arbitrary dependence between the base p- or e-values. We introduce a procedure
that is based on e-values and show that it is efficient both computationally
and statistically using simulated and real-world datasets. Comparison with the
corresponding standard procedure based on p-values is not straightforward, but
there are indications that the new one performs significantly better in some
situations.
| [
{
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{
"created": "Tue, 11 Feb 2020 16:28:07 GMT",
"version": "v2"
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{
"created": "Mon, 20 Sep 2021 16:01:38 GMT",
"version": "v3"
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"created": "Mon, 21 Feb 2022 13:03:27 GMT",
"version": "v4"
},
{
"created": "Thu, 10 Nov 2022 09:01:27 GMT",
"version": "v5"
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[
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"Vladimir",
""
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""
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] | 1,225,188 |
1912.13293 | Evgeny F. Talantsev | E.F. Talantsev | Unconventional superconductivity in highly-compressed unannealed sulphur
hydride | 8 pages, 2 figures, 1 table | Results in Physics 16, 102993 (2020) | 10.1016/j.rinp.2020.102993 | null | cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | While great scientific efforts focus on the synthesis and studies of
near-room-temperature (NRT) superconductors exhibited record superconducting
transition temperatures (for instance, laser annealed H3S, LaH10 and YHn (n =
4,6,7,9) with Tc > 200 K), unannealed low-Tc counterparts of NRT
superconductors stay in the background. However, the formers are part of
hydrogen-rich superconductors family and the success in understanding of NRT
superconductivity depends on the study of these materials too. In this paper we
analyse experimental temperature dependent upper critical field data, Bc2(T),
reported by Drozdov et al (Nature 525, 73 (2015)) for unannealed
highly-compressed (P = 155 GPa) sulphur hydride with Tc = 46 K and show that
this material is unconventional superconductor which exhibits the ratio of Tc
to the Fermi temperature, TF, in the range of 0.02 < Tc/TF < 0.05.
| [
{
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[
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"E. F.",
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] | 1,225,189 |
1912.13294 | Taizan Watari | Satoshi Kondo and Taizan Watari | Modular Parametrization as Polyakov Path Integral: Cases with CM
Elliptic Curves as Target Spaces | 110 pages | null | null | IPMU19-0191 | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For an elliptic curve E over an abelian extension k/K with CM by K of Shimura
type, the L-functions of its [k:K] Galois representations are Mellin transforms
of Hecke theta functions; a modular parametrization (surjective map) from a
modular curve to E pulls back the 1-forms on E to give the Hecke theta
functions. This article refines the study of our earlier work and shows that
certain class of chiral correlation functions in Type II string theory with
[E]_C (E as real analytic manifold) as a target space yield the same Hecke
theta functions as objects on the modular curve. The Kahler parameter of the
target space [E]_C in string theory plays the role of the index (partially
ordered) set in defining the projective/direct limit of modular curves.
| [
{
"created": "Tue, 31 Dec 2019 12:59:54 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Kondo",
"Satoshi",
""
],
[
"Watari",
"Taizan",
""
]
] | 19 | [
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1912.13295 | Godfred Koi-Akrofi | Godfred Yaw Koi-Akrofi | IT Project Governance in Project Delivery: Key Processes, Activities,
Roles and Responsibilities | 2 Tables, 1 Figure, 12 Pages | Texila International Journal of Management. Volume 3, Issue 2, Nov
2017 | 10.21522/TIJMG.2015.03.01.Art023 | null | cs.SE | http://creativecommons.org/licenses/by/4.0/ | The general objective of this work was to contribute to the general body of
knowledge and research work in the area of managing IT projects successfully.
The office of Government commerce of the UK Government in conjunction with the
National Audit came out with a guideline in 2007 which list out eight causes of
project failures. Six out of the eight causes were attributed to governance
issues (Aon, 2011). This shows clearly that governance activities in project
management are really important, and failure to place premium on them can
result in failure of projects. The research work was therefore intended to come
out with IT governance frameworks that can help resolve the problem of failure
of IT projects resulting from governance issues. Four IT program managers and
eight IT project managers were talked to on a variety of IT project governance
issues. The frameworks were developed based on a combination of literature,
experts (IT project and program managers of the telecom industry in Ghana)
input, observation, and so on. The governance frameworks depicts project
management processes, project activities, project governance activities, roles
and responsibilities of key stakeholders, key milestones, approval bodies,
signatures, and so on, to ensure successful delivery of IT projects.
| [
{
"created": "Tue, 19 Nov 2019 14:26:12 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Koi-Akrofi",
"Godfred Yaw",
""
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] | 1,225,191 |
1912.13296 | Andrei Zaitsev Yu. | Friedrich G\"otze, Andrei Yu. Zaitsev, and Dmitry Zaporozhets | An improved multivariate version of Kolmogorov's second uniform limit
theorem | 12 pages | Zapiski Nauchnykh Seminarov POMI, 2019, v.486, 71-85 (in
Russian);English translation in J. Math. Sci. (N. Y.), 258 (2021), 782-792 | 10.1007/s10958-021-05594-x | null | math.PR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The aim of the present work is to show that the results obtained earlier on
the approximation of distributions of sums of independent summands by
infinitely divisible laws may be transferred to the estimation of the closeness
of distributions on convex polyhedra.
| [
{
"created": "Tue, 31 Dec 2019 13:11:59 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Feb 2020 14:41:38 GMT",
"version": "v2"
}
] | 2022-08-04 | [
[
"Götze",
"Friedrich",
""
],
[
"Zaitsev",
"Andrei Yu.",
""
],
[
"Zaporozhets",
"Dmitry",
""
]
] | 19 | [
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] | 1,225,192 |
1912.13297 | Grzegorz Plebanek | Grzegorz Plebanek | Monolithic spaces of measures | 12 pages; final version | null | null | null | math.FA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For a compact space $K$ we consider the space $P(K)$, of probability regular
Borel measures on $K$, equipped with the $weak^\ast$ topology inherited from
$C(K)^\ast$. We discuss possible characterizations of those compact spaces $K$
for which $P(K)$ is $\aleph_0$-monolithic. The main result states that under
$\diamondsuit$ there exists a nonseparable Corson compact space $K$ such that
$P(K)$ is $\aleph_0$-monolithic but $K$ supports a measure of uncountable type.
| [
{
"created": "Tue, 31 Dec 2019 13:17:48 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jan 2020 21:06:22 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Sep 2020 14:42:36 GMT",
"version": "v3"
}
] | 2020-09-18 | [
[
"Plebanek",
"Grzegorz",
""
]
] | 19 | [
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] | 1,225,193 |
1912.13298 | Maximilian Schambach | Maximilian Schambach and Fernando Puente Le\'on | Microlens array grid estimation, light field decoding, and calibration | \copyright 2020 IEEE. Personal use of this material is permitted.
Permission from IEEE must be obtained for all other uses, in any current or
future media, including reprinting/republishing this material for advertising
or promotional purposes, creating new collective works, for resale or
redistribution to servers or lists, or reuse of any copyrighted component of
this work in other works | IEEE Transactions on Computational Imaging, vol. 6, pp. 591-603,
2020 | 10.1109/tci.2020.2964257 | null | eess.IV cs.CV | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We quantitatively investigate multiple algorithms for microlens array grid
estimation for microlens array-based light field cameras. Explicitly taking
into account natural and mechanical vignetting effects, we propose a new method
for microlens array grid estimation that outperforms the ones previously
discussed in the literature. To quantify the performance of the algorithms, we
propose an evaluation pipeline utilizing application-specific ray-traced white
images with known microlens positions. Using a large dataset of synthesized
white images, we thoroughly compare the performance of the different estimation
algorithms. As an example, we apply our results to the decoding and calibration
of light fields taken with a Lytro Illum camera. We observe that decoding as
well as calibration benefit from a more accurate, vignetting-aware grid
estimation, especially in peripheral subapertures of the light field.
| [
{
"created": "Tue, 31 Dec 2019 13:27:13 GMT",
"version": "v1"
}
] | 2020-10-19 | [
[
"Schambach",
"Maximilian",
""
],
[
"León",
"Fernando Puente",
""
]
] | 19 | [
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] | 1,225,194 |
1912.13299 | Shixuan Li | Shixuan Li | Low dilatation pseudo-Anosovs on punctured surfaces and volume | 18 pages, 11 figures | null | null | null | math.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For a pseudo-Anosov homeomorphism $f$ on a closed surface of genus $g\geq 2$,
for which the entropy is on the order $\frac{1}{g}$ (the lowest possible
order), Farb-Leininger-Margalit showed that the volume of the mapping torus is
bounded, independent of $g$. We show that the analogous result fails for a
surface of fixed genus $g$ with $n$ punctures, by constructing pseudo-Anosov
homeomorphism with entropy of the minimal order $\frac{\log n}{n}$, and volume
tending to infinity.
| [
{
"created": "Tue, 31 Dec 2019 13:34:09 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Li",
"Shixuan",
""
]
] | 19 | [
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] | 1,225,195 |
1912.13300 | Jarek Duda Dr | Jarek Duda | Nearly accurate solutions for Ising-like models using Maximal Entropy
Random Walk | 7 pages, 4 figures | null | null | null | cs.IT cond-mat.stat-mech math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | While one-dimensional Markov processes are well understood, going to higher
dimensions there are only a few analytically solved Ising-like models, in
practice requiring to use relatively costly, uncontrollable and inaccurate
Monte-Carlo methods. There is discussed analytical approach for e.g.
$width\times \infty$ approximation of lattice, also exploiting
Hammersley-Clifford theorem to generate random Gibbs/Markov field through
scanning line-by-line using local statistical model as in lossless image
compression. While its conditional distributions could be found with
Monte-Carlo methods, there is discussed use of Maximal Entropy Random Walk
(MERW) to calculate them from approximation of lattice as infinite in one
direction and finite in the remaining. Specifically, in the finite directions
there is built alphabet of all patterns, then transition matrix containing
energy for all pairs of such patterns is built, from its dominant eigenvector
getting probability distribution of pairs of patterns in Boltzmann distribution
of their infinite sequences, which can be translated into local statistical
model for line-by-line scan. Such inexpensive models, requiring seconds on a
laptop for attached implementation and directly providing probability
distributions of patterns, were tested for mean entropy and energy per node,
getting maximal $\approx 0.02$ error from analytical solution near critical
point, which quickly improves to extremely accurate e.g. $\approx 10^{-10}$
error for $J\approx 0.2$.
| [
{
"created": "Tue, 31 Dec 2019 13:35:05 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Jan 2020 13:21:36 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Jan 2020 17:16:40 GMT",
"version": "v3"
},
{
"created": "Mon, 27 Jan 2020 08:51:05 GMT",
"version": "v4"
},
{
"created": "Mon, 19 Apr 2021 14:01:04 GMT",
"version": "v5"
}
] | 2021-04-20 | [
[
"Duda",
"Jarek",
""
]
] | 19 | [
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] | 1,225,196 |
1912.13301 | Han Mao Kiah | Yeow Meng Chee, Duc Tu Dao, Han Mao Kiah, San Ling, Hengjia Wei | Robust Positioning Patterns with Low Redundancy | Extended Version of SODA 2019 Paper | null | null | null | cs.IT math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A robust positioning pattern is a large array that allows a mobile device to
locate its position by reading a possibly corrupted small window around it. In
this paper, we provide constructions of binary positioning patterns, equipped
with efficient locating algorithms, that are robust to a constant number of
errors and have redundancy within a constant factor of optimality. Furthermore,
we modify our constructions to correct rank errors and obtain binary
positioning patterns robust to any errors of rank less than a constant number.
Additionally, we construct $q$-ary robust positioning sequences robust to a
large number of errors, some of which have length attaining the upper bound.
Our construction of binary positioning sequences that are robust to a
constant number of errors has the least known redundancy amongst those explicit
constructions with efficient locating algorithms. On the other hand, for binary
robust positioning arrays, our construction is the first explicit construction
whose redundancy is within a constant factor of optimality. The locating
algorithms accompanying both constructions run in time cubic in sequence length
or array dimension.
| [
{
"created": "Tue, 31 Dec 2019 13:36:24 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Chee",
"Yeow Meng",
""
],
[
"Dao",
"Duc Tu",
""
],
[
"Kiah",
"Han Mao",
""
],
[
"Ling",
"San",
""
],
[
"Wei",
"Hengjia",
""
]
] | 19 | [
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] | 1,225,197 |
1912.13302 | Howard E. Haber | Howard E. Haber | Useful relations among the generators in the defining and adjoint
representations of SU(N) | 11 pages, a collection of useful formulae from a variety of sources;
version 2 matches the published version | SciPost Phys. Lect. Notes 21 (2021) | 10.21468/SciPostPhysLectNotes.21 | null | math-ph hep-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | There are numerous relations among the generators in the defining and adjoint
representations of SU(N). These include Casimir operators, formulae for traces
of products of generators, etc. Due to the existence of the completely
symmetric tensor $d_{abc}$ that arises in the study of the SU(N) Lie algebra,
one can also consider relations that involve the adjoint representation matrix,
$(D^a)_{bc}=d_{abc}$. In this review, we summarize many useful relations
satisfied by the defining and adjoint representation matrices of SU(N). A few
relations special to the case of N=3 are highlighted.
| [
{
"created": "Tue, 31 Dec 2019 13:39:21 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jan 2021 00:07:45 GMT",
"version": "v2"
}
] | 2021-01-22 | [
[
"Haber",
"Howard E.",
""
]
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] | 1,225,198 |
1912.13303 | Nobuyuki Matsumoto | Masafumi Fukuma, Nobuyuki Matsumoto and Naoya Umeda | Implementation of the HMC algorithm on the tempered Lefschetz thimble
method | 32 pages, 15 figures. v2: typos corrected, some arguments clarified | null | null | KUNS-2783 | hep-lat hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The tempered Lefschetz thimble method (TLTM) is a parallel-tempering
algorithm towards solving the numerical sign problem, where the system is
tempered by the antiholomorphic gradient flow to tame both the sign and
ergodicity problems simultaneously. In this paper, we implement the hybrid
Monte Carlo (HMC) algorithm for transitions on each flowed surface, expecting
that this implementation on TLTM will give a useful framework for future
computations of large-scale systems including fermions. Although the use of HMC
in Lefschetz thimble methods has been proposed so far, our crucial achievement
here is that HMC is implemented on TLTM so as to work within the
parallel-tempering algorithm in TLTM, especially by developing an algorithm to
handle zeros of fermion determinants in the course of the molecular-dynamics
process. We confirm that the algorithm works correctly by applying it to the
sign problem of the Hubbard model on a small lattice, for which the TLTM is
known to work with the Metropolis algorithm. We show that the use of HMC
significantly reduces the autocorrelation times with less computational times
compared to the Metropolis algorithm.
| [
{
"created": "Tue, 31 Dec 2019 13:42:57 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Feb 2020 15:05:42 GMT",
"version": "v2"
}
] | 2020-02-14 | [
[
"Fukuma",
"Masafumi",
""
],
[
"Matsumoto",
"Nobuyuki",
""
],
[
"Umeda",
"Naoya",
""
]
] | 19 | [
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