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1912.13004 | Bangti Jin | Federico Benvenuto and Bangti Jin | A Parameter Choice Rule for Tikhonov Regularization Based on Predictive
Risk | 21 pages, 8 figures, 3 tables | null | 10.1088/1361-6420/ab6d58 | null | math.NA cs.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we propose a new criterion for choosing the regularization
parameter in Tikhonov regularization when the noise is white Gaussian. The
criterion minimizes a lower bound of the predictive risk, when both data norm
and noise variance are known, and the parameter choice involves minimizing a
function whose solution depends only on the signal-to-noise ratio. Moreover,
when neither noise variance nor data norm is given, we propose an iterative
algorithm which alternates between a minimization step of finding the
regularization parameter and an estimation step of estimating signal-to-noise
ratio. Simulation studies on both small- and large-scale datasets suggest that
the approach can provide very accurate and stable regularized inverse solutions
and, for small sized samples, it outperforms discrepancy principle, balancing
principle, unbiased predictive risk estimator, L-curve method generalized cross
validation, and quasi-optimality criterion, and achieves excellent stability
hitherto unavailable.
| [
{
"created": "Mon, 30 Dec 2019 16:54:56 GMT",
"version": "v1"
}
] | 2020-06-24 | [
[
"Benvenuto",
"Federico",
""
],
[
"Jin",
"Bangti",
""
]
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] | 1,224,900 |
1912.13005 | Brooks Emerick | Brooks Emerick and Abhyudai Singh | Global redistribution and local migration in semi-discrete
host-parasitoid population dynamic models | 27 pages, 8 figures | null | null | null | q-bio.PE math.DS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Host-parasitoid population dynamics is often probed using a
semi-discrete/hybrid modeling framework. Here, the update functions in the
discrete-time model connecting year-to-year changes in the population densities
are obtained by solving ordinary differential equations that mechanistically
describe interactions when hosts become vulnerable to parasitoid attacks. We
use this semi-discrete formalism to study two key spatial effects: local
movement (migration) of parasitoids between patches during the vulnerable
period; and yearly redistribution of populations across patches outside the
vulnerable period. Our results show that in the absence of any redistribution,
constant density-independent migration and parasitoid attack rates are unable
to stabilize an otherwise unstable host-parasitoid population dynamics.
Interestingly, inclusion of host redistribution (but not parasitoid
redistribution) before the start of the vulnerable period can lead to stable
coexistence of both species. Next, we consider a Type-III functional response
(parasitoid attack rate increases with host density), where the absence of any
spatial effects leads to a neutrally stable host-parasitoid equilibrium. As
before, density-independent parasitoid migration by itself is again
insufficient to stabilize the population dynamics and host redistribution
provides a stabilizing influence. Finally, we show that a Type-III functional
response combined with density-dependent parasitoid migration leads to stable
coexistence, even in the absence of population redistributions. In summary, we
have systematically characterized parameter regimes leading to stable/unstable
population dynamics with different forms of spatial heterogeneity coupled to
the parasitoid's functional response using mechanistically formulated
semi-discrete models.
| [
{
"created": "Mon, 30 Dec 2019 16:57:44 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Emerick",
"Brooks",
""
],
[
"Singh",
"Abhyudai",
""
]
] | 19 | [
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] | 1,224,901 |
1912.13006 | Chung Wen Kao | Dong Jing Yang, Chung Wen Kao, Seung-il Nam | Empirical estimate of the unpolarized dihadron fragmentation functions | 10 pages, 10 figures | null | null | CYCU-HEP-19-13 | hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We estimate the unpolarized dihadron fragmentation functions (uDiFFs) within
the framework of the single-cascade jet algorithm. We first obtain the
elementary fragmentation functions generating the single hadron fragmentation
functions by using the single-cascade jet algorithm. These results are very
close to the empirical parametrizations of the single hadron fragmentation
functions which are extracted from the experimental data of the $e^+e^-$
annihiliation and semi-inclusive deeply inelastic scatterings (SIDIS). We then
use those elementary fragmentation functions to generate the dihadron
fragmentation functions by the help of the single-cascade jet algorithm again.
The comparison between our empirical results with the results of the
Nambu-Jona-Lasinio model and the non-local chiral quark model (NL$\chi$QM) is
also presented.
| [
{
"created": "Mon, 30 Dec 2019 16:59:24 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Yang",
"Dong Jing",
""
],
[
"Kao",
"Chung Wen",
""
],
[
"Nam",
"Seung-il",
""
]
] | 19 | [
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1912.13007 | Marwin Segler | Marwin H.S. Segler | World Programs for Model-Based Learning and Planning in Compositional
State and Action Spaces | Accepted at the Generative Modeling and Model-Based Reasoning for
Robotics and AI workshop at ICML 2019. Presented on June 14th 2019. See
https://sites.google.com/view/mbrl-icml2019 | https://sites.google.com/view/mbrl-icml2019 | null | null | cs.LG stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Some of the most important tasks take place in environments which lack cheap
and perfect simulators, thus hampering the application of model-free
reinforcement learning (RL). While model-based RL aims to learn a dynamics
model, in a more general case the learner does not know a priori what the
action space is. Here we propose a formalism where the learner induces a world
program by learning a dynamics model and the actions in graph-based
compositional environments by observing state-state transition examples. Then,
the learner can perform RL with the world program as the simulator for complex
planning tasks. We highlight a recent application, and propose a challenge for
the community to assess world program-based planning.
| [
{
"created": "Mon, 30 Dec 2019 17:03:16 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Segler",
"Marwin H. S.",
""
]
] | 19 | [
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] | 1,224,903 |
1912.13008 | Sushovan Majhi | Sushovan Majhi, Jeffrey Vitter, and Carola Wenk | Approximating Gromov-Hausdorff Distance in Euclidean Space | null | null | null | null | math.MG cs.CG | http://creativecommons.org/licenses/by/4.0/ | The Gromov-Hausdorff distance $(d_{GH})$ proves to be a useful distance
measure between shapes. In order to approximate $d_{GH}$ for compact subsets
$X,Y\subset\mathbb{R}^d$, we look into its relationship with $d_{H,iso}$, the
infimum Hausdorff distance under Euclidean isometries. As already known for
dimension $d\geq 2$, the $d_{H,iso}$ cannot be bounded above by a constant
factor times $d_{GH}$. For $d=1$, however, we prove that
$d_{H,iso}\leq\frac{5}{4}d_{GH}$. We also show that the bound is tight. In
effect, this gives rise to an $O(n\log{n})$-time algorithm to approximate
$d_{GH}$ with an approximation factor of $\left(1+\frac{1}{4}\right)$.
| [
{
"created": "Mon, 30 Dec 2019 17:03:34 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jan 2022 19:09:32 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Jun 2022 16:29:21 GMT",
"version": "v3"
}
] | 2022-06-08 | [
[
"Majhi",
"Sushovan",
""
],
[
"Vitter",
"Jeffrey",
""
],
[
"Wenk",
"Carola",
""
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] | 1,224,904 |
1912.13009 | Thomas Machon | Gareth P. Alexander, Thomas Machon | A Bj\"orling Representation for Jacobi Fields on Minimal Surfaces and
Soap Film Instabilities | 12 pages, 5 figures | Proc. R. Soc. A 476, 20190903 (2020) | 10.1098/rspa.2019.0903 | null | cond-mat.soft math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a general framework for the description of instabilities on soap
films using the Bj\"orling representation of minimal surfaces. The construction
is naturally geometric and the instability has the interpretation as being
specified by its amplitude and transverse gradient along any curve lying in the
minimal surface. When the amplitude vanishes, the curve forms part of the
boundary to a critically stable domain, while when the gradient vanishes the
Jacobi field is maximal along the curve. In the latter case, we show that the
Jacobi field is maximally localised if its amplitude is taken to be the lowest
eigenfunction of a one-dimensional Schr\"odinger operator. We present examples
for the helicoid, catenoid, circular helicoids and planar Enneper minimal
surfaces, and emphasise that the geometric nature of the Bj\"orling
representation allows direct connection with instabilities observed in soap
films.
| [
{
"created": "Mon, 30 Dec 2019 17:03:38 GMT",
"version": "v1"
}
] | 2020-07-09 | [
[
"Alexander",
"Gareth P.",
""
],
[
"Machon",
"Thomas",
""
]
] | 19 | [
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] | 1,224,905 |
1912.13010 | William T Redman | William T Redman | Renormalization Group as a Koopman Operator | 13 pages, 1 figure | Phys. Rev. E 101, 060104 (2020) | 10.1103/PhysRevE.101.060104 | null | cond-mat.stat-mech | http://creativecommons.org/licenses/by/4.0/ | Koopman operator theory is shown to be directly related to the
renormalization group. This observation allows us, with no assumption of
translational invariance, to compute the critical exponents $\eta$ and
$\delta$, as well as ratios of critical exponents, of classical spin systems
from single observables alone. This broadens the types of problems that the
renormalization group framework can be applied to and establish universality
classes of. In addition, this connection may allow for a new, data-driven way
in which to find the renormalization group fixed point(s), and their relevant
and irrelevant directions.
| [
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1912.13011 | Siamak Taati | Sem Borst, Frank den Hollander, Francesca Nardi, Siamak Taati | Crossover times in bipartite networks with activity constraints and
time-varying switching rates | 32 pages, 2 figure | null | null | null | math.PR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study the performance of a bipartite network in which
customers arrive at the nodes of the network, but not all nodes are able to
serve their customers at all times. Each node can be either active or inactive,
and two nodes connected by a bond cannot be active simultaneously. This
situation arises in wireless random-access networks where, due to destructive
interference, stations that are close to each other cannot use the same
frequency band.
We consider a model where the network is bipartite, the active nodes switch
themselves off at rate 1, and the inactive nodes switch themselves on at a rate
that depends on time and on which half of the bipartite network they are in. An
inactive node cannot become active when one of the nodes it is connected to by
a bond is active. The switching protocol allows the nodes to share activity
among each other. In the limit as the activation rate becomes large, we compute
the crossover time between the two states where one half of the network is
active and the other half is inactive. This allows us to assess the overall
activity of the network depending on the switching protocol. Our results make
use of the metastability analysis for hard-core interacting particle models on
finite bipartite graphs derived in an earlier paper. They are valid for a large
class of bipartite networks, subject to certain assumptions. Proofs rely on a
comparison with switching protocols that are not time-varying, through coupling
techniques.
| [
{
"created": "Mon, 30 Dec 2019 17:06:26 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Feb 2022 16:28:28 GMT",
"version": "v2"
}
] | 2022-02-15 | [
[
"Borst",
"Sem",
""
],
[
"Hollander",
"Frank den",
""
],
[
"Nardi",
"Francesca",
""
],
[
"Taati",
"Siamak",
""
]
] | 19 | [
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1912.13012 | Anton Frisk Kockum | Anton Frisk Kockum | Quantum optics with giant atoms -- the first five years | Review article, 16 pages, 6 figures. For the conference proceedings
of the International Symposium on Mathematics, Quantum Theory, and
Cryptography, Fukuoka, 2019 | in International Symposium on Mathematics, Quantum Theory, and
Cryptography (Mathematics for Industry, vol 33), edited by T. Takagi, M.
Wakayama, K. Tanaka, N. Kunihiro, K. Kimoto, and Y. Ikematsu (Springer, 2020) | 10.1007/978-981-15-5191-8_12 | null | quant-ph cond-mat.mes-hall physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In quantum optics, it is common to assume that atoms can be approximated as
point-like compared to the wavelength of the light they interact with. However,
recent advances in experiments with artificial atoms built from superconducting
circuits have shown that this assumption can be violated. Instead, these
artificial atoms can couple to an electromagnetic field at multiple points,
which are spaced wavelength distances apart. In this chapter, we present a
survey of such systems, which we call \textit{giant atoms}. The main novelty of
giant atoms is that the multiple coupling points give rise to interference
effects that are not present in quantum optics with ordinary, small atoms. We
discuss both theoretical and experimental results for single and multiple giant
atoms, and show how the interference effects can be used for interesting
applications. We also give an outlook for this emerging field of quantum
optics.
| [
{
"created": "Mon, 30 Dec 2019 17:12:21 GMT",
"version": "v1"
}
] | 2020-10-27 | [
[
"Kockum",
"Anton Frisk",
""
]
] | 19 | [
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] | 1,224,908 |
1912.13013 | Mitul Islam | Mitul Islam | Rank One Hilbert Geometries | Major re-writing in Section 8 which also improves the results in that
section. Results in all other sections remain unaffected. Other minor
revisions based on referees' comments, notably in Sections 1, 4, 5, 12, and
Appendix B. Final version to appear in Geometry & Topology. 72 pages. 1
figure. Comments welcome | null | null | null | math.GT math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a notion of rank one properly convex domains (or Hilbert
geometries) in the real projective space. This is in the spirit of rank one
non-positively curved Riemannian manifolds and CAT(0) spaces. We define rank
one isometries for Hilbert geometries and characterize them as being equivalent
to contracting elements (in the sense of geometric group theory). We prove that
if a discrete subgroup of automorphisms of a Hilbert geometry contains a rank
one isometry, then the subgroup is either virtually cyclic or acylindrically
hyperbolic. This leads to several applications like infinite-dimensionality of
the space of quasi-morphisms, counting results for conjugacy classes and
genericity results for rank one isometries.
| [
{
"created": "Mon, 30 Dec 2019 17:13:00 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Aug 2020 05:03:14 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Feb 2024 22:12:30 GMT",
"version": "v3"
}
] | 2024-02-23 | [
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] | 1,224,909 |
1912.13014 | Ulysses Camara da Silva | A.A. Lima, J.V.S. Scursulim, U. Camara da Silva, G.M. Sotkov | SUSY shields the scaling symmetry of conformal quantum mechanics | 20 pages | Phys. Rev. A 101, 032105 (2020) | 10.1103/PhysRevA.101.032105 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Renormalization of the inverse square potential usually breaks its classical
conformal invariance. In a strongly attractive potential, the scaling symmetry
is broken to a discrete subgroup while, in a strongly repulsive potential, it
is preserved at quantum level. In the intermediate, weak-medium range of the
coupling, an anomalous length scale appears due to a flow of the
renormalization group away from a critical point. We show that potentials with
couplings in the strongly-repulsive and in the weak-medium ranges can be
related by a dynamical supersymmetry. Imposing SUSY invariance unifies these
two ranges, and fixes the anomalous scale to zero, thus restoring the
continuous scaling symmetry.
| [
{
"created": "Mon, 30 Dec 2019 17:15:51 GMT",
"version": "v1"
}
] | 2020-03-18 | [
[
"Lima",
"A. A.",
""
],
[
"Scursulim",
"J. V. S.",
""
],
[
"da Silva",
"U. Camara",
""
],
[
"Sotkov",
"G. M.",
""
]
] | 19 | [
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] | 1,224,910 |
1912.13015 | G J Sreejith | Naveen Nishad, G J Sreejith | Scaling of Loschmidt echo in boundary driven critical Z-3 Potts model | null | Phys. Rev. B 101, 144302 (2020) | 10.1103/PhysRevB.101.144302 | null | cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Low frequency perturbations at the boundary of critical quantum chains can be
understood in terms of the sequence of boundary conditions imposed by them, as
has been previously demonstrated in the Ising and related fermion models. Using
extensive numerical simulations, we explore the scaling behavior of the
Loschmidt echo under longitudinal field perturbations at the boundary of a
critical $\mathbb{Z}_3$ Potts model. We show that at times much larger than the
relaxation time after a boundary quench, the Loschmidt-echo has a power-law
scaling as expected from interpreting the quench as insertion of boundary
condition changing operators. Similar scaling is observed as a function of
time-period under a low frequency square-wave pulse. We present numerical
evidence which indicate that under a sinusoidal or triangular pulse, scaling
with time period is modified by Kibble-Zurek effect, again similar to the case
of the Ising model. Results confirm the validity, beyond the Ising model, of
the treatment of the boundary perturbations in terms of the effect on boundary
conditions.
| [
{
"created": "Mon, 30 Dec 2019 17:19:48 GMT",
"version": "v1"
}
] | 2020-04-15 | [
[
"Nishad",
"Naveen",
""
],
[
"Sreejith",
"G J",
""
]
] | 19 | [
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] | 1,224,911 |
1912.13016 | Aidar Dulliev | Natalya Arutyunova, Aidar Dulliev, Vladislav Zabotin | Global optimization of multivariable functions satisfying the Vanderbei
condition | 21 pages, 4 tables, 29 figure, in Russian. (v5) specified the norm of
the space | null | null | null | math.OC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose two algorithms for solving global optimization problems on a
hyperrectangle with an objective function satisfying the Vanderbei condition
(this function is also called an $\varepsilon$-Lipschitz continuous function).
The algorithms belong to the class of non-uniform cover-ings methods. For the
algorithms we prove propositions about convergence to an $\varepsilon$-solution
in terms of the objective function. We illustrate the performance of the
algorithms using several test numerical examples with non-Lipschitz continuous
objective functions.
| [
{
"created": "Mon, 30 Dec 2019 17:24:47 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Feb 2020 08:10:00 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Feb 2021 18:07:52 GMT",
"version": "v3"
},
{
"created": "Sun, 26 Dec 2021 18:45:48 GMT",
"version": "v4"
},
{
"created": "Sun, 18 Feb 2024 18:32:56 GMT",
"version": "v5"
}
] | 2024-02-20 | [
[
"Arutyunova",
"Natalya",
""
],
[
"Dulliev",
"Aidar",
""
],
[
"Zabotin",
"Vladislav",
""
]
] | 19 | [
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] | 1,224,912 |
1912.13017 | William Bialek | Rebecca J. Rousseau and William Bialek | Information costs in the control of protein synthesis | null | null | null | null | q-bio.SC cond-mat.stat-mech q-bio.MN | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Efficient protein synthesis depends on the availability of charged tRNA
molecules. With 61 different codons, shifting the balance among the tRNA
abundances can lead to large changes in the protein synthesis rate. Previous
theoretical work has asked about the optimization of these abundances, and
there is some evidence that regulatory mechanisms bring cells close to this
optimum, on average. We formulate the tradeoff between the precision of control
and the efficiency of synthesis, asking for the maximum entropy distribution of
tRNA abundances consistent with a desired mean rate of protein synthesis. Our
analysis, using data from E. coli, indicates that reasonable synthesis rates
are consistent only with rather low entropies, so that the cell's regulatory
mechanisms must encode a large amount of information about the "correct" tRNA
abundances.
| [
{
"created": "Mon, 30 Dec 2019 17:24:52 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Rousseau",
"Rebecca J.",
""
],
[
"Bialek",
"William",
""
]
] | 19 | [
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] | 1,224,913 |
1912.13018 | Sylvia Serfaty | Scott Armstrong, Sylvia Serfaty | Thermal approximation of the equilibrium measure and obstacle problem | 23 pages, new section on existence and uniqueness added, final
version to appear in Annales Fac. Sciences Toulouse | null | null | null | math.AP math-ph math.MP math.PR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the probability measure minimizing a free energy functional equal
to the sum of a Coulomb interaction, a confinement potential and an entropy
term, which arises in the statistical mechanics of Coulomb gases. In the limit
where the inverse temperature $\beta$ tends to $\infty$ the entropy term
disappears and the measure, which we call the "thermal equilibrium measure"
tends to the well-known equilibrium measure, which can also be interpreted as a
solution to the classical obstacle problem. We provide quantitative estimates
on the convergence of the thermal equilibrium measure to the equilibrium
measure in strong norms in the bulk of the latter, with a sequence of explicit
correction terms in powers of $1/\beta$, as well as an analysis of the tail
after the boundary layer of size $\beta^{-1/2}$.
| [
{
"created": "Mon, 30 Dec 2019 17:27:22 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Feb 2020 18:52:34 GMT",
"version": "v2"
},
{
"created": "Tue, 3 Mar 2020 18:01:16 GMT",
"version": "v3"
},
{
"created": "Thu, 7 May 2020 22:00:57 GMT",
"version": "v4"
},
{
"created": "Wed, 7 Oct 2020 08:05:50 GMT",
"version": "v5"
}
] | 2020-10-08 | [
[
"Armstrong",
"Scott",
""
],
[
"Serfaty",
"Sylvia",
""
]
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] | 1,224,914 |
1912.13019 | Mustafa Cengiz | Mustafa Cengiz | Heegaard genus and complexity of fibered knots | 40 pages, 4 figures. Accepted for publication by the Journal of
Topology | null | null | null | math.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove that if a fibered knot $K$ with genus greater than one in a
three-manifold $M$ has a sufficiently complicated monodromy, then $K$ induces a
minimal genus Heegaard splitting $P$ that is unique up to isotopy, and small
genus Heegaard splittings of $M$ are stabilizations of $P$. We provide a
complexity bound in terms of the Heegaard genus of $M$. We also provide global
complexity bounds for fibered knots in the three-sphere and lens spaces.
| [
{
"created": "Mon, 30 Dec 2019 17:30:05 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Sep 2022 22:09:40 GMT",
"version": "v2"
}
] | 2022-09-27 | [
[
"Cengiz",
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] | 1,224,915 |
1912.13020 | Cristian Pisano | Cristian Pisano | Gluon TMDs and Opportunities at an EIC | 4 pages, 2 figures; to appear in the proceedings of the INT program
"Probing Nucleons and Nuclei in High Energy Collisions", Seattle (USA), 1
October - 16 November (2018) | null | null | null | hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how transverse momentum dependent gluon distributions could be probed
at a future Electron-Ion Collider through the analysis of transverse momentum
spectra and azimuthal asymmetries in the inclusive electroproduction of
$J/\psi$ and $\Upsilon$ mesons. The maximum values of these asymmetries,
obtained in a model-independent way by imposing the positivity bounds of the
polarized gluon distributions, suggest the feasibility of the proposed
measurements.
| [
{
"created": "Mon, 30 Dec 2019 17:32:41 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Pisano",
"Cristian",
""
]
] | 19 | [
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] | 1,224,916 |
1912.13021 | Lisa Piccirillo | Kyle Hayden, Lisa Piccirillo | The trace embedding lemma and spinelessness | 25 pages, 12 figures | null | null | null | math.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate new applications of the trace embedding lemma to the study of
piecewise-linear surfaces and the detection of exotic phenomena in dimension
four. We provide infinitely many pairs of homeomorphic 4-manifolds $W$ and $W'$
homotopy equivalent to $S^2$ which have smooth structures distinguished by
several formal properties: $W'$ is diffeomorphic to a knot trace but $W$ is
not, $W'$ contains $S^2$ as a smooth spine but $W$ does not even contain $S^2$
as a piecewise-linear spine, $W'$ is geometrically simply connected but $W$ is
not, and $W'$ does not admit a Stein structure but $W$ does. In particular, the
simple spineless 4-manifolds $W$ provide an alternative to Levine and Lidman's
recent solution to Problem 4.25 in Kirby's list. We also show that all smooth
4-manifolds contain topological locally flat surfaces that cannot be
approximated by piecewise-linear surfaces.
| [
{
"created": "Mon, 30 Dec 2019 17:32:47 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Hayden",
"Kyle",
""
],
[
"Piccirillo",
"Lisa",
""
]
] | 19 | [
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] | 1,224,917 |
1912.13022 | Sayan Dasgupta | Sayan Dasgupta, Santosh Kumar Rai, Tirtha Sankar Ray | Impact of a colored vector resonance on the collider constraints for
top-like top partner | Extensive changes in text, Matches published version | Phys. Rev. D 102, 115014 (2020) | 10.1103/PhysRevD.102.115014 | null | hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we reappraise the collider constraints from leptonic final
states on the vectorlike colored top partners taking into account the impact of
exotic colored vector resonances. These colored states are intrinsic to a broad
class of models that employ a strongly interacting sector to drive electroweak
symmetry breaking. We translate the recent results in the {\sl monolepton +
jets} channel as reported by CMS with an integrated luminosity of 35.8
fb$^{-1}$, and {\sl dilepton + jets} and {\sl trilepton + jets} channels as
reported by ATLAS with an integrated luminosity of 36.1 fb$^{-1}$ to constrain
the parameter space of these class of models. We also comment on the impact and
modification of the derived constraints due to the expected fatness of the
colored vector resonance, when accounted for beyond the narrow-width
approximation by simulating the full one-particle irreducible resummed
propagator.
| [
{
"created": "Mon, 30 Dec 2019 17:33:45 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Dec 2020 10:55:45 GMT",
"version": "v2"
}
] | 2020-12-09 | [
[
"Dasgupta",
"Sayan",
""
],
[
"Rai",
"Santosh Kumar",
""
],
[
"Ray",
"Tirtha Sankar",
""
]
] | 19 | [
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] | 1,224,918 |
1912.13023 | Yun He | Yun He, Jianling Wang, Wei Niu and James Caverlee | A Hierarchical Self-Attentive Model for Recommending User-Generated Item
Lists | Accepted by CIKM 2019 | CIKM 2019 | 10.1145/3357384.3358030 | null | cs.IR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | User-generated item lists are a popular feature of many different platforms.
Examples include lists of books on Goodreads, playlists on Spotify and YouTube,
collections of images on Pinterest, and lists of answers on question-answer
sites like Zhihu. Recommending item lists is critical for increasing user
engagement and connecting users to new items, but many approaches are designed
for the item-based recommendation, without careful consideration of the complex
relationships between items and lists. Hence, in this paper, we propose a novel
user-generated list recommendation model called AttList. Two unique features of
AttList are careful modeling of (i) hierarchical user preference, which
aggregates items to characterize the list that they belong to, and then
aggregates these lists to estimate the user preference, naturally fitting into
the hierarchical structure of item lists; and (ii) item and list consistency,
through a novel self-attentive aggregation layer designed for capturing the
consistency of neighboring items and lists to better model user preference.
Through experiments over three real-world datasets reflecting different kinds
of user-generated item lists, we find that AttList results in significant
improvements in NDCG, Precision@k, and Recall@k versus a suite of
state-of-the-art baselines. Furthermore, all code and data are available at
https://github.com/heyunh2015/AttList.
| [
{
"created": "Mon, 30 Dec 2019 17:34:47 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"He",
"Yun",
""
],
[
"Wang",
"Jianling",
""
],
[
"Niu",
"Wei",
""
],
[
"Caverlee",
"James",
""
]
] | 19 | [
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] | 1,224,919 |
1912.13024 | Donsub Rim | Donsub Rim, Benjamin Peherstorfer, Kyle T. Mandli | Manifold Approximations via Transported Subspaces: Model reduction for
transport-dominated problems | null | null | null | null | math.NA cs.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This work presents a method for constructing online-efficient reduced models
of large-scale systems governed by parametrized nonlinear scalar conservation
laws. The solution manifolds induced by transport-dominated problems such as
hyperbolic conservation laws typically exhibit nonlinear structures, which
means that traditional model reduction methods based on linear approximations
are inefficient when applied to these problems. In contrast, the approach
introduced in this work derives reduced approximations that are nonlinear by
explicitly composing global transport dynamics with locally linear
approximations of the solution manifolds. A time-stepping scheme evolves the
nonlinear reduced models by transporting local approximation spaces along the
characteristic curves of the governing equations. The proposed computational
procedure allows an offline/online decomposition and is online-efficient in the
sense that the complexity of accurately time-stepping the nonlinear reduced
model is independent of that of the full model. Numerical experiments with
transport through heterogeneous media and the Burgers' equation show orders of
magnitude speedups of the proposed nonlinear reduced models based on
transported subspaces compared to traditional linear reduced models and full
models.
| [
{
"created": "Mon, 30 Dec 2019 17:36:26 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Feb 2020 03:17:09 GMT",
"version": "v2"
},
{
"created": "Thu, 31 Dec 2020 00:15:30 GMT",
"version": "v3"
}
] | 2021-01-01 | [
[
"Rim",
"Donsub",
""
],
[
"Peherstorfer",
"Benjamin",
""
],
[
"Mandli",
"Kyle T.",
""
]
] | 19 | [
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] | 1,224,920 |
1912.13025 | Andrew Wilson | Pavel Izmailov, Polina Kirichenko, Marc Finzi, Andrew Gordon Wilson | Semi-Supervised Learning with Normalizing Flows | null | null | null | null | cs.LG stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Normalizing flows transform a latent distribution through an invertible
neural network for a flexible and pleasingly simple approach to generative
modelling, while preserving an exact likelihood. We propose FlowGMM, an
end-to-end approach to generative semi supervised learning with normalizing
flows, using a latent Gaussian mixture model. FlowGMM is distinct in its
simplicity, unified treatment of labelled and unlabelled data with an exact
likelihood, interpretability, and broad applicability beyond image data. We
show promising results on a wide range of applications, including AG-News and
Yahoo Answers text data, tabular data, and semi-supervised image
classification. We also show that FlowGMM can discover interpretable structure,
provide real-time optimization-free feature visualizations, and specify well
calibrated predictive distributions.
| [
{
"created": "Mon, 30 Dec 2019 17:36:33 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Izmailov",
"Pavel",
""
],
[
"Kirichenko",
"Polina",
""
],
[
"Finzi",
"Marc",
""
],
[
"Wilson",
"Andrew Gordon",
""
]
] | 19 | [
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] | 1,224,921 |
1912.13026 | Wojciech Hellwing | Wojciech A. Hellwing | The skewness of z=0.5 redshift-space galaxy distribution in Modified
Gravity | 8 pages, 4 figures, proceedings from the XXXIX-th general assembly of
the Polish Astronomical Society, September 2019, Olsztyn, Poland | null | null | null | astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the reduced skewness,
$S_{3,g}\equiv\bar{\xi}_{3,g}/\bar{\xi}_{2,g}^2$ of galaxy distribution at
$z=0.5$ in two families of modfied gravity models: the Hu-Sawicki
$f(R)$-gravity and normal-branch of Dvali-Gabadadze-Porrati (nDGP) models. We
use a set of mock galaxy catalogues specifally designed to match CMASS
spectroscopic galaxy sample. For the first time we investigate the third
reduced moment of such galaxy distributions both in the redshift space. Our
analysis confirms that the signal previously indicated only for dark matter
halo catalogues persists also in realistic mock galaxy samples. This result
offers a possibility to extract a potential modified gravity signal in $S_3$
from spectroscopic galaxy data without a need for a very precise and
self-consistent RSD models constructed for each and every modified gravity
scenario separately. We show that the relative deviations from $\Lambda$CDM~
$S_{3,g}$ of various modified gravity models can vary from $7$ down to $\sim
2-3\%$ effects. Albeit, the effect looks small, we show that for considered
models it can foster a $2-3\sigma$ falsification. Finally we argue that galaxy
sample of a significantly higher number density should provide even stronger
constraints by limiting shot-noise effects affecting the $S_{3,g}$ estimates at
small comoving separations.
| [
{
"created": "Mon, 30 Dec 2019 17:37:12 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jan 2020 14:44:04 GMT",
"version": "v2"
}
] | 2020-01-03 | [
[
"Hellwing",
"Wojciech A.",
""
]
] | 19 | [
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] | 1,224,922 |
1912.13027 | Galen Reeves | Galen Reeves, Jiaming Xu, Ilias Zadik | All-or-Nothing Phenomena: From Single-Letter to High Dimensions | This paper was presented at the 2019 IEEE International Workshop on
Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP),
Guadeloupe, French West Indies | null | null | null | math.ST cs.IT math.IT stat.TH | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the linear regression problem of estimating a $p$-dimensional
vector $\beta$ from $n$ observations $Y = X \beta + W$, where $\beta_j
\stackrel{\text{i.i.d.}}{\sim} \pi$ for a real-valued distribution $\pi$ with
zero mean and unit variance, $X_{ij} \stackrel{\text{i.i.d.}}{\sim}
\mathcal{N}(0,1)$, and $W_i\stackrel{\text{i.i.d.}}{\sim} \mathcal{N}(0,
\sigma^2)$. In the asymptotic regime where $n/p \to \delta$ and $ p/ \sigma^2
\to \mathsf{snr}$ for two fixed constants $\delta, \mathsf{snr}\in (0, \infty)$
as $p \to \infty$, the limiting (normalized) minimum mean-squared error (MMSE)
has been characterized by the MMSE of an associated single-letter (additive
Gaussian scalar) channel.
In this paper, we show that if the MMSE function of the single-letter channel
converges to a step function, then the limiting MMSE of estimating $\beta$ in
the linear regression problem converges to a step function which jumps from $1$
to $0$ at a critical threshold. Moreover, we establish that the limiting
mean-squared error of the (MSE-optimal) approximate message passing algorithm
also converges to a step function with a larger threshold, providing evidence
for the presence of a computational-statistical gap between the two thresholds.
| [
{
"created": "Mon, 30 Dec 2019 17:40:31 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Reeves",
"Galen",
""
],
[
"Xu",
"Jiaming",
""
],
[
"Zadik",
"Ilias",
""
]
] | 19 | [
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] | 1,224,923 |
1912.13028 | Sourin Das | Aabir Mukhopadhyay and Sourin Das | Thermal signature of Majorana fermions in Josephson junction | 19 pages, 8 figures | Phys. Rev. B 103, 144502 (2021) | 10.1103/PhysRevB.103.144502 | null | cond-mat.mes-hall cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Existence of distinctive correlation between the thermal conductance and the
Josephson current across a 1-D topological Josephson junction (T-JJ) is
established and an expression connecting the two is derived in the short
junction limit. It is shown that the three terminal T-JJ provides us with an
ideal set-up for exploiting the distinctive correlations which aid in
identifying hallmarks of Majorana bound state localized at the junction. Our
approach combines information form sub-gap Cooper pair transport and transport
of above-gap thermally excited quasiparticle which is complementary to the
existing studies.
| [
{
"created": "Mon, 30 Dec 2019 17:45:22 GMT",
"version": "v1"
}
] | 2021-04-14 | [
[
"Mukhopadhyay",
"Aabir",
""
],
[
"Das",
"Sourin",
""
]
] | 19 | [
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] | 1,224,924 |
1912.13029 | Puneeth Jubba Honnaiah | Puneeth Jubba Honnaiah, Shridhar Reddy | Design of a Low Noise Amplifier | null | null | null | null | eess.SP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A low-noise amplifier (LNA) amplifies a very low-power signal without
significantly degrading its signal-to-noise ratio. This paper provides the
design of a linear low noise amplifier with the transistor BFP 640 using
bilateral approach which is well-matched at the design frequency of 3.20 GHz
with maximum transducer gain and low noise figure. Noise is minimized by
considering trade-offs that include impedance matching and selecting low-noise
biasing conditions.
| [
{
"created": "Mon, 30 Dec 2019 17:53:08 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Honnaiah",
"Puneeth Jubba",
""
],
[
"Reddy",
"Shridhar",
""
]
] | 19 | [
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] | 1,224,925 |
1912.13030 | Xinwen Zhu | Kai-Wen Lan, Ruochuan Liu, Xinwen Zhu | De Rham comparison and Poincar\'e duality for rigid varieties | 61 pages. Final version. To appear in Peking Mathematical Journal | null | null | null | math.AG math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Over any smooth algebraic variety over a $p$-adic local field $k$, we
construct the de Rham comparison isomorphisms for the \'etale cohomology with
partial compact support of de Rham $\mathbb Z_p$-local systems, and show that
they are compatible with Poincar\'e duality and with the canonical morphisms
among such cohomology. We deduce these results from their analogues for rigid
analytic varieties that are Zariski open in some proper smooth rigid analytic
varieties over $k$. In particular, we prove finiteness of \'etale cohomology
with partial compact support of any $\mathbb Z_p$-local systems, and establish
the Poincar\'e duality for such cohomology after inverting $p$.
| [
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"created": "Mon, 30 Dec 2019 17:58:15 GMT",
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},
{
"created": "Sun, 30 Oct 2022 05:27:44 GMT",
"version": "v2"
}
] | 2022-11-01 | [
[
"Lan",
"Kai-Wen",
""
],
[
"Liu",
"Ruochuan",
""
],
[
"Zhu",
"Xinwen",
""
]
] | 19 | [
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] | 1,224,926 |
1912.13031 | Yun He | Yun He, Yin Zhang, Weiwen Liu and James Caverlee | Consistency-Aware Recommendation for User-Generated ItemList
Continuation | accepted by WSDM 2020 | WSDM 2020 | null | null | cs.IR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | User-generated item lists are popular on many platforms. Examples include
video-based playlists on YouTube, image-based lists (or"boards") on Pinterest,
book-based lists on Goodreads, and answer-based lists on question-answer forums
like Zhihu. As users create these lists, a common challenge is in identifying
what items to curate next. Some lists are organized around particular genres or
topics, while others are seemingly incoherent, reflecting individual
preferences for what items belong together. Furthermore, this heterogeneity in
item consistency may vary from platform to platform, and from sub-community to
sub-community. Hence, this paper proposes a generalizable approach for
user-generated item list continuation. Complementary to methods that exploit
specific content patterns (e.g., as in song-based playlists that rely on audio
features), the proposed approach models the consistency of item lists based on
human curation patterns, and so can be deployed across a wide range of varying
item types (e.g., videos, images, books). A key contribution is in
intelligently combining two preference models via a novel consistency-aware
gating network - a general user preference model that captures a user's overall
interests, and a current preference priority model that captures a user's
current (as of the most recent item) interests. In this way, the proposed
consistency-aware recommender can dynamically adapt as user preferences evolve.
Evaluation over four datasets(of songs, books, and answers) confirms these
observations and demonstrates the effectiveness of the proposed model versus
state-of-the-art alternatives. Further, all code and data are available at
https://github.com/heyunh2015/ListContinuation_WSDM2020.
| [
{
"created": "Mon, 30 Dec 2019 18:00:42 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"He",
"Yun",
""
],
[
"Zhang",
"Yin",
""
],
[
"Liu",
"Weiwen",
""
],
[
"Caverlee",
"James",
""
]
] | 19 | [
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] | 1,224,927 |
1912.13032 | Alexander Gutfraind | Jos\'e M. Maisog and Wenhong Li and Yanchun Xu and Brian Hurley and
Hetal Shah and Ryan Lemberg and Tina Borden and Stephen Bandeian and Melissa
Schline and Roxanna Cross and Alan Spiro and Russ Michael and Alexander
Gutfraind | Using massive health insurance claims data to predict very high-cost
claimants: a machine learning approach | 34 pages, 2 figures, In review in PLoS ONE | null | null | null | cs.LG stat.ML | http://creativecommons.org/publicdomain/zero/1.0/ | Due to escalating healthcare costs, accurately predicting which patients will
incur high costs is an important task for payers and providers of healthcare.
High-cost claimants (HiCCs) are patients who have annual costs above
$\$250,000$ and who represent just 0.16% of the insured population but
currently account for 9% of all healthcare costs. In this study, we aimed to
develop a high-performance algorithm to predict HiCCs to inform a novel care
management system. Using health insurance claims from 48 million people and
augmented with census data, we applied machine learning to train binary
classification models to calculate the personal risk of HiCC. To train the
models, we developed a platform starting with 6,006 variables across all
clinical and demographic dimensions and constructed over one hundred candidate
models. The best model achieved an area under the receiver operating
characteristic curve of 91.2%. The model exceeds the highest published
performance (84%) and remains high for patients with no prior history of
high-cost status (89%), who have less than a full year of enrollment (87%), or
lack pharmacy claims data (88%). It attains an area under the precision-recall
curve of 23.1%, and precision of 74% at a threshold of 0.99. A care management
program enrolling 500 people with the highest HiCC risk is expected to treat
199 true HiCCs and generate a net savings of $\$7.3$ million per year. Our
results demonstrate that high-performing predictive models can be constructed
using claims data and publicly available data alone, even for rare high-cost
claimants exceeding $\$250,000$. Our model demonstrates the transformational
power of machine learning and artificial intelligence in care management, which
would allow healthcare payers and providers to introduce the next generation of
care management programs.
| [
{
"created": "Mon, 30 Dec 2019 18:01:30 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Maisog",
"José M.",
""
],
[
"Li",
"Wenhong",
""
],
[
"Xu",
"Yanchun",
""
],
[
"Hurley",
"Brian",
""
],
[
"Shah",
"Hetal",
""
],
[
"Lemberg",
"Ryan",
""
],
[
"Borden",
"Tina",
""
],
[
"Bandeian",
"Stephen",
""
],
[
"Schline",
"Melissa",
""
],
[
"Cross",
"Roxanna",
""
],
[
"Spiro",
"Alan",
""
],
[
"Michael",
"Russ",
""
],
[
"Gutfraind",
"Alexander",
""
]
] | 19 | [
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1912.13033 | Mee Seong Im | Mee Seong Im | Monte Carlo methods on a fixed volume system of Silicon-Germanium atoms | 11 pages, 37 figures | null | null | null | physics.comp-ph physics.data-an | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Since the electrons of a silicon-germanium system are bounded, external
quantum effects are negligible. In this manuscript, we hold the volume constant
while varying all other parameters, such as pressure, temperature, germanium
chemical potential (or germanium concentration), energy, mole number and atomic
bond structure, resulting in an observation of hysteresis in the system.
| [
{
"created": "Mon, 30 Dec 2019 18:01:30 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Im",
"Mee Seong",
""
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] | 1,224,929 |
1912.13034 | Lina Julieth Castiblanco Tolosa | Juan Calles, Lina Castiblanco, Jorge Nore\~na, Cl\'ement Stahl | From matter to galaxies: General relativistic bias for the one-loop
bispectrum | 31 pages, 10 Figures | JCAP07 (2020) 033 | 10.1088/1475-7516/2020/07/033 | null | astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We write down the Lagrangian bias expansion in general relativity up to 4th
order in terms of operators describing the curvature of an early-time
hypersurface for comoving observers. They can be easily expanded in synchronous
or comoving gauges. This is necessary for the computation of the one-loop halo
bispectrum, where relativistic effects can be degenerate with a primordial
non-Gaussian signal. Since the bispectrum couples scales, an accurate
prediction of the squeezed limit behavior needs to be both non-linear and
relativistic. We then evolve the Lagrangian bias operators in time in comoving
gauge, obtaining non-local operators analogous to what is known in the
Newtonian limit. Finally, we show how to renormalize the bias expansion at an
arbitrary time and find that this is crucial in order to cancel unphysical
$1/k^2$ divergences in the large-scale power spectrum and bispectrum that could
be mistaken for a contamination to the non-Gaussian signal.
| [
{
"created": "Mon, 30 Dec 2019 18:05:39 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jul 2020 22:57:47 GMT",
"version": "v2"
}
] | 2020-07-24 | [
[
"Calles",
"Juan",
""
],
[
"Castiblanco",
"Lina",
""
],
[
"Noreña",
"Jorge",
""
],
[
"Stahl",
"Clément",
""
]
] | 19 | [
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] | 1,224,930 |
1912.13035 | Michael Crescimanno | Martin D. Strong, Michael Crescimanno | Lagrange point stability for a rotating host mass binary | Version accepted for publication in PRD | Phys. Rev. D 102, 024052 (2020) | 10.1103/PhysRevD.102.024052 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this new era of gravitational wave astrophysics, observations have
indicated the likely existence of black holes with significant spin. In order
to better understand the potential imprint orbital dynamics have on the
multi-messenger data, we include rotation of the primary mass to leading order
in the analysis of the stability boundary pertaining to the triangular
equilibrium points, L_4 and L_5, in the relativistic, restricted, circular
three body problem. For Lagrange point stability these rotation effects are of
the same order as the leading order relativistic corrections ignoring rotation
and make both L_4 and L_5 more stable for retrograde orbital motion.
| [
{
"created": "Mon, 30 Dec 2019 18:06:47 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Jun 2020 18:45:40 GMT",
"version": "v2"
}
] | 2020-07-22 | [
[
"Strong",
"Martin D.",
""
],
[
"Crescimanno",
"Michael",
""
]
] | 19 | [
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] | 1,224,931 |
1912.13036 | Jiarong Hong | Siyao Shao, Kevin Mallery, Jiarong Hong | Machine learning holography for measuring 3D particle size distribution | 14 pages, 6 figures | null | null | null | physics.app-ph eess.IV | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Particle size measurement based on digital holography with conventional
algorithms are usually time-consuming and susceptible to noises associated with
hologram quality and particle complexity, limiting its usage in a broad range
of engineering applications and fundamental research. We propose a
learning-based hologram processing method to cope with the aforementioned
issues. The proposed approach uses a modified U-net architecture with three
input channels and two output channels, and specially-designed loss functions.
The proposed method has been assessed using synthetic, manually-labeled
experimental, and water tunnel bubbly flow data containing particles of
different shapes. The results demonstrate that our approach can achieve better
performance in comparison to the state-of-the-art non-machine-learning methods
in terms of particle extraction rate and positioning accuracy with
significantly improved processing speed. Our learning-based approach can be
extended to other types of image-based particle size measurements.
| [
{
"created": "Mon, 30 Dec 2019 18:07:37 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Shao",
"Siyao",
""
],
[
"Mallery",
"Kevin",
""
],
[
"Hong",
"Jiarong",
""
]
] | 19 | [
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1912.13037 | Daniel Hsu | Daniel Hsu | A New Framework for Query Efficient Active Imitation Learning | null | null | null | null | cs.LG cs.AI stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We seek to align agent policy with human expert behavior in a reinforcement
learning (RL) setting, without any prior knowledge about dynamics, reward
function, and unsafe states. There is a human expert knowing the rewards and
unsafe states based on his preference and objective, but querying that human
expert is expensive. To address this challenge, we propose a new framework for
imitation learning (IL) algorithm that actively and interactively learns a
model of the user's reward function with efficient queries. We build an
adversarial generative model of states and a successor feature (SR) model
trained over transition experience collected by learning policy. Our method
uses these models to select state-action pairs, asking the user to comment on
the optimality or safety, and trains a adversarial neural network to predict
the rewards. Different from previous papers, which are almost all based on
uncertainty sampling, the key idea is to actively and efficiently select
state-action pairs from both on-policy and off-policy experience, by
discriminating the queried (expert) and unqueried (generated) data and
maximizing the efficiency of value function learning. We call this method
adversarial reward query with successor representation. We evaluate the
proposed method with simulated human on a state-based 2D navigation task,
robotic control tasks and the image-based video games, which have
high-dimensional observation and complex state dynamics. The results show that
the proposed method significantly outperforms uncertainty-based methods on
learning reward models, achieving better query efficiency, where the
adversarial discriminator can make the agent learn human behavior more
efficiently and the SR can select states which have stronger impact on value
function. Moreover, the proposed method can also learn to avoid unsafe states
when training the reward model.
| [
{
"created": "Mon, 30 Dec 2019 18:12:27 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Hsu",
"Daniel",
""
]
] | 19 | [
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] | 1,224,933 |
1912.13038 | Abhishek Mehta | Abhishek Mehta | Wheeler-DeWitt equation in Null-foliated spacetimes | 15 pages, A complete revision of arguments in v4 | null | null | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, the Wheeler-DeWitt (WDW) equation is derived in null-foliated
4D spacetimes. WDW equation written in null-foliated spacetime presents an
enormous simplification compared to the spacelike-foliated spacetime as the
null-foliations are 2D. These can be solved exactly and uniquely to give the
vertex operators of non-critical strings as a solution. A correspondence is
established between null surfaces in 4D to string worldsheet geometry. Attempts
are made to derive the physical consequences of this correspondence.
| [
{
"created": "Mon, 30 Dec 2019 18:12:36 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jan 2020 10:24:46 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Jan 2020 06:11:07 GMT",
"version": "v3"
},
{
"created": "Fri, 1 May 2020 15:01:14 GMT",
"version": "v4"
}
] | 2020-05-04 | [
[
"Mehta",
"Abhishek",
""
]
] | 19 | [
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1912.13039 | Goutam Das | Goutam Das, M. C. Kumar, Kajal Samanta | Resummed inclusive cross-section in ADD model at N$^3$LL+NNLO | 36 pages, 22 figures, 4 tables | null | 10.1007/JHEP10(2020)161 | DESY 19-171 | hep-ph | http://creativecommons.org/licenses/by/4.0/ | We present three loop soft-plus-virtual (SV) corrections to the spin-2
production at the Large Hadron Collider (LHC). For this calculation, we make
use of the recently computed quark and gluon three loop form factors for the
spin-2 production, the universal soft-collinear coefficients as well as the
mass factorization kernels. The SV coefficients are presented up to
next-to-next-to-next-to leading order (N$^3$LO). We also use these coefficients
at three loops to compute the resummed prediction for inclusive cross-section
to next-to-next-to-next-to leading logarithmic accuracy (N$^3$LL) matched to
next-to-next-to leading order (NNLO). We use the standard technique to derive
the Mellin N-dependent coefficients and also the N-independent coefficients to
achieve the resummation using the minimal prescription matching procedure.
Considering the spin-2 propagator in the large extra dimensional (ADD) model,
we also study the numerical impact of these three-loop SV corrections as well
as the resummed predictions on the di-lepton invariant mass distribution at the
13 TeV LHC. We find that the conventional scale uncertainties in the
NNLO+N$^3$LL resummed results substantially get reduced to as low as 2\% in the
high invariant mass region. We also estimate the PDF uncertainties in our
predictions that will be useful in the experimental searches for large extra
dimensions.
| [
{
"created": "Mon, 30 Dec 2019 18:16:46 GMT",
"version": "v1"
}
] | 2020-12-02 | [
[
"Das",
"Goutam",
""
],
[
"Kumar",
"M. C.",
""
],
[
"Samanta",
"Kajal",
""
]
] | 19 | [
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] | 1,224,935 |
1912.13040 | Monalisa Singh Roy | Monalisa Singh Roy, Manoranjan Kumar, and Sourin Das | Tunneling density of states in a Y junction of Tomonaga-Luttinger liquid
wires: A density matrix renormalization group study | 9 pages, 5 figures. A new section (III C) on length scale of the TDOS
enhancement has been added | Phys. Rev. B 102, 035130 (2020) | 10.1103/PhysRevB.102.035130 | null | cond-mat.str-el | http://creativecommons.org/publicdomain/zero/1.0/ | It is well known that the pristine bulk of an interacting one-dimensional
system in Tomonaga-Luttinger liquid (TLL) phase shows power law suppression of
quasi-particle tunneling amplitude for all values of TLL parameter $g$, in the
zero energy limit. We perform a density matrix renormalization group (DMRG)
study of a fully symmetric Y junction of TLL wires and observe an anomalous
enhancement of the tunneling density of states (TDOS) in the vicinity of the
junction for both (a) interacting bosons case and (b) interacting fermions
case, when $g>1$. We also observe suppression of TDOS for $g<1$ for both
bosonic and fermionic cases. We find that the TDOS enhancements follow
different power laws for bosonic and fermionic cases which suggests that these
represent distinct fixed points, owing to statistical correlations which play
an important role at the Y junction. Analysis of static conductance for the
junction indicates that the fixed point for $1<g<3$ resembles the mysterious
$M$ fixed point of Y junction predicted by Oshikawa, Chamon, and Affleck [J.
Stat. Mech. P02008 (2006)]. We also show that the TDOS enhancement spans over a
length scale of $\propto \omega^{-1}$ from the junction, for $1<g<3$.
| [
{
"created": "Mon, 30 Dec 2019 18:17:41 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Jul 2020 20:56:20 GMT",
"version": "v2"
}
] | 2020-07-21 | [
[
"Roy",
"Monalisa Singh",
""
],
[
"Kumar",
"Manoranjan",
""
],
[
"Das",
"Sourin",
""
]
] | 19 | [
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] | 1,224,936 |
1912.13041 | Arka Adhikari | Arka Adhikari and Christian Brennecke | Free Energy of the Quantum Sherrington-Kirkpatrick Spin-Glass Model with
Transverse Field | 20 pages | null | null | null | math.PR math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the quantum Sherrington-Kirkpatrick (SK) spin-glass model with
transverse field and provide a formula for its free energy in the thermodynamic
limit, valid for all inverse temperatures $\beta>0$. To characterize the free
energy, we use the path integral representation of the partition function and
approximate the model by a sequence of finite-dimensional vector-spin glasses
with $\mathbb{R}^d$-valued spins. This enables us to use results of Panchenko
who generalized in \cite{Pan2,Pan3} the Parisi formula to classical vector-spin
glasses. As a consequence, we can express the thermodynamic limit of the free
energy of the quantum SK model as the $d\to\infty$ limit of the free energies
of the $d$-dimensional approximations of the model.
| [
{
"created": "Mon, 30 Dec 2019 18:17:57 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Adhikari",
"Arka",
""
],
[
"Brennecke",
"Christian",
""
]
] | 19 | [
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] | 1,224,937 |
1912.13042 | Hung T. Diep | H. T. Diep and H. Giacomini | Frustration -- Exactly Solved Frustrated Models | 58 pages, 39 figures, to appear in Frustrated Spin Systems 3rd
Edition, World Scientific. arXiv admin note: substantial text overlap with
arXiv:1812.04282 | null | null | null | cond-mat.stat-mech cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | After a short introduction on frustrated spin systems, we study in this
chapter several two-dimensional frustrated Ising spin systems which can be
exactly solved by using vertex models. We show that these systems contain most
of the spectacular effects due to the frustration: high ground-state
degeneracy, existence of several phases in the ground-state phase diagram,
multiple phase transitions with increasing temperature, reentrance, disorder
lines, partial disorder at equilibrium. Evidences of such effects in non
solvable models are also shown and discussed.
| [
{
"created": "Wed, 25 Dec 2019 14:58:16 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Diep",
"H. T.",
""
],
[
"Giacomini",
"H.",
""
]
] | 19 | [
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] | 1,224,938 |
1912.13043 | Michael Usher | Michael Usher | Local rigidity, symplectic homeomorphisms, and coisotropic submanifolds | 10 pages. v2: minor edits | Bull. Lond. Math. Soc. 54 (2022), no. 1, 45-53 | 10.1112/blms.12555 | null | math.SG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce the notion of a point on a locally closed subset of a symplectic
manifold being "locally rigid" with respect to that subset, prove that this
notion is invariant under symplectic homeomorphisms, and show that coisotropic
submanifolds are distinguished among all smooth submanifolds by the property
that all of their points are locally rigid. This yields a simplified proof of
the Humili\`ere-Leclercq-Seyfaddini theorem on the $C^0$-rigidity of
coisotropic submanifolds. Connections are also made to the "rigid locus" that
has previously been used in the study of Chekanov-Hofer pseudometrics on orbits
of closed subsets under the Hamiltonian diffeomorphism group.
| [
{
"created": "Mon, 30 Dec 2019 18:27:52 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jan 2020 18:37:24 GMT",
"version": "v2"
}
] | 2023-03-01 | [
[
"Usher",
"Michael",
""
]
] | 19 | [
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1912.13044 | Mario Flory | Mario Flory | Discrete scale invariance in holography and an argument against the
complexity=action proposal | 5 pages, 1 figure. Slightly extended version of proceedings for the
6th Conference of the Polish Society on Relativity | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The AdS/CFT correspondence often motivates research on questions in
gravitational physics whose relevance might not be immediately clear from a
purely GR-perspective, but which are nevertheless interesting. In these
proceedings, we summarise two such results recently obtained by the author. One
concerns, broadly speaking, the possible isometry-groups of a spacetime sourced
by physical matter. The other one provides a possible argument against the
recently proposed complexity=action conjecture.
| [
{
"created": "Mon, 30 Dec 2019 18:28:02 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Flory",
"Mario",
""
]
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] | 1,224,940 |
1912.13045 | Alexander A. Voronov | S\"umeyra Sakall{\i}, Alexander A. Voronov | On the BV structure on the cohomology of moduli space | 19 pages, dedicated to Kyoji Saito on the occasion of his 75th
birthday | null | null | IPMU19-0190 | math.AG math.AT math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The question of vanishing of the BV operator on the cohomology of the moduli
space of Riemann surfaces is investigated. The BV structure, which comprises a
BV operator and an antibracket, is identified, vanishing theorems are proven,
and a counterexample is provided.
| [
{
"created": "Mon, 30 Dec 2019 18:32:44 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Sakallı",
"Sümeyra",
""
],
[
"Voronov",
"Alexander A.",
""
]
] | 19 | [
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] | 1,224,941 |
1912.13046 | Edward Raff | Edward Raff, Charles Nicholas, Mark McLean | A New Burrows Wheeler Transform Markov Distance | To appear in: The Thirty-Fourth AAAI Conference on Artificial
Intelligence (AAAI-20), AICS-2020 Workshop | null | null | null | cs.CR cs.IR cs.LG stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Prior work inspired by compression algorithms has described how the Burrows
Wheeler Transform can be used to create a distance measure for bioinformatics
problems. We describe issues with this approach that were not widely known, and
introduce our new Burrows Wheeler Markov Distance (BWMD) as an alternative. The
BWMD avoids the shortcomings of earlier efforts, and allows us to tackle
problems in variable length DNA sequence clustering. BWMD is also more
adaptable to other domains, which we demonstrate on malware classification
tasks. Unlike other compression-based distance metrics known to us, BWMD works
by embedding sequences into a fixed-length feature vector. This allows us to
provide significantly improved clustering performance on larger malware
corpora, a weakness of prior methods.
| [
{
"created": "Mon, 30 Dec 2019 18:33:32 GMT",
"version": "v1"
}
] | 2020-02-19 | [
[
"Raff",
"Edward",
""
],
[
"Nicholas",
"Charles",
""
],
[
"McLean",
"Mark",
""
]
] | 19 | [
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] | 1,224,942 |
1912.13047 | Michael A. Mandell | Michael A. Mandell | Operads and Operadic Algebras in Homotopy Theory | Expository article; book chapter. Final version (some minor
corrections from previous version) | null | null | null | math.AT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is an expository article about operads in homotopy theory written as a
chapter for an upcoming book. It concentrates on what the author views as the
basic topics in the homotopy theory of operadic algebras: the definition of
operads, the definition of algebras over operads, structural aspects of
categories of algebras over operads, model structures on algebra categories,
and comparison of algebra categories when changing operad or underlying
category. In addition, it includes two applications of the theory: The original
application to $n$-fold loop spaces, and an application to algebraic models of
homotopy types (chosen purely on the basis of author bias).
| [
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{
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"version": "v2"
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{
"created": "Mon, 3 Jan 2022 17:55:15 GMT",
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] | 1,224,943 |
1912.13048 | Alan Ch\'avez Obregon | Alan Ch\'avez, Manuel Pinto, Ulices Zavaleta | On almost automorphic type solutions of abstract Integral equations, a
Bohr-Neugebauer type property and some applications | 33 pages | null | null | null | math.FA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the present work we give some sufficient conditions to obtain a unique
almost automorphic solution to abstract nonlinear integral equations which are
simultaneously of advanced and delayed type and also a unique asymptotically
almost automorphic mild solution to abstract integro-differential equations
with nonlocal initial conditions, both situations are posed on Banach spaces.
Also, we develop a Bohr-Neugebauer type result for the abstract integral
equations. Before that, we introduce the notion of $\lambda$-bounded functions,
develop the appropriate abstract theory and discuss the almost periodic
situation. As applications, we study the existence of an asymptotically almost
automorphic solution to integro-differential equations modeling heat conduction
in materials with memory and also the existence of the almost automorphic
solution to semilinear parabolic evolution equations with finite delay.
| [
{
"created": "Mon, 30 Dec 2019 18:39:59 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Jan 2020 05:05:09 GMT",
"version": "v2"
}
] | 2020-01-28 | [
[
"Chávez",
"Alan",
""
],
[
"Pinto",
"Manuel",
""
],
[
"Zavaleta",
"Ulices",
""
]
] | 19 | [
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] | 1,224,944 |
1912.13049 | Andrew Heard | Andy W. Heard, and Edwin S. Kite | A Probabilistic Case For A Large Missing Carbon Sink On Mars After 3.5
Billion Years Ago | null | HEarth Planet. Sci. Lett. 116001 (2019) | 10.1016/j.epsl.2019.116001 | null | astro-ph.EP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Mars has a thin (6 mbar) CO2 atmosphere currently. There is strong evidence
for paleolakes and rivers formed by warm climates on Mars, including after 3.5
billion years (Ga) ago, which indicates that a CO2 atmosphere thick enough to
permit a warm climate was present at these times. Since Mars no longer has a
thick CO2 atmosphere, it must have been lost. One possibility is that Martian
CO2 was lost to space. Oxygen escape rates from Mars are high enough to account
for loss of a thick CO2 atmosphere, if CO2 was the main source of escaping O.
But here, using H isotope ratios, O escape calculations, and quantification of
the surface O sinks on Mars, we show for the first time that O escape from Mars
after 3.5 Ga must have been predominantly associated with the loss of H2O, not
CO2, and therefore it is unlikely that >250 mbar Martian CO2 has been lost to
space in the last 3.5 Ga, because such results require highly unfavored O loss
scenarios. It is possible that the presence of young rivers and lakes on Mars
could be reconciled with limited CO2 loss to space if crater chronologies on
Mars are sufficiently incorrect that all apparently young rivers and lakes are
actually older than 3.5 Ga, or if climate solutions exist for sustained runoff
on Mars with atmospheric CO2 pressure <250 mbar. However, our preferred
solution to reconcile the presence of <3.5 Gya rivers and lakes on Mars with
the limited potential for CO2 loss to space is a large, as yet undiscovered,
geological C sink on Mars.
| [
{
"created": "Mon, 30 Dec 2019 18:45:32 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Heard",
"Andy W.",
""
],
[
"Kite",
"Edwin S.",
""
]
] | 19 | [
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] | 1,224,945 |
1912.13050 | Michael Mogessie Ashenafi | Michael Mogessie Ashenafi | Online Peer-Assessment Datasets | 16 pages | null | null | null | cs.CY | http://creativecommons.org/licenses/by-sa/4.0/ | Peer-assessment experiments were conducted among first and second year
students at the University of Trento. The experiments spanned an entire
semester and were conducted in five computer science courses between 2013 and
2016. Peer-assessment tasks included question and answer submission as well as
answer evaluation tasks. The peer-assessment datasets are complimented by the
final scores of participating students for each course. Teachers were involved
in filtering out questions submitted by students on a weekly basis. Selected
questions were then used in subsequent peer-assessment tasks. However, expert
ratings are not included in the dataset. A major reason for this decision was
that peer-assessment tasks were designed with minimal teacher supervision in
mind. Arguments in favour of this approach are presented. The datasets are
designed in a manner that would allow their utilization in a variety of
experiments. They are reported as parsable data structures that, with
intermediate processing, can be moulded into NLP or ML-ready datasets.
Potential applications of interest include performance prediction and text
similarity tasks.
| [
{
"created": "Mon, 30 Dec 2019 18:48:55 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Ashenafi",
"Michael Mogessie",
""
]
] | 19 | [
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] | 1,224,946 |
1912.13051 | Alexis Roa Aguirre | A. R. Aguirre, and G. Flores-Hidalgo | A note on one-loop soliton quantum mass corrections | 9 pages. Version accepted for publication in Mod. Phys. Lett. A
(MPLA) | Mod. Phys. Lett A 33 No 1 (2020) 2050102 | 10.1142/S0217732320501023 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop an alternative derivation of the renormalized expression for the
one-loop soliton quantum mass corrections in (1+1)-dimensional scalar field
theories. We regularize implicitly such quantity by subtracting and adding its
corresponding tadpole graph contribution and use the renormalization
prescription that such added term vanishes with adequate counterterms. As a
result, we get a finite unambiguous formula for the soliton quantum mass
corrections up to one-loop order, which turns to be independent of the chosen
regularization scheme.
| [
{
"created": "Mon, 30 Dec 2019 18:52:32 GMT",
"version": "v1"
}
] | 2020-02-28 | [
[
"Aguirre",
"A. R.",
""
],
[
"Flores-Hidalgo",
"G.",
""
]
] | 19 | [
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] | 1,224,947 |
1912.13052 | Timothy Magee | Man-Wai Cheung, Timothy Magee and Alfredo N\'ajera Ch\'avez | Compactifications of cluster varieties and convexity | 40 pages, 19 figures, comments welcome. Added subsection 2.2.3
treating quotients and fibers of cluster varieties. The main theorem holds in
this broader setting. To appear in IMRN | null | null | null | math.AG math.CO math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In [GHKK18], Gross-Hacking-Keel-Kontsevich discuss compactifications of
cluster varieties from "positive subsets" in the real tropicalization of the
mirror. To be more precise, let $\mathfrak{D}$ be the scattering diagram of a
cluster variety $V$ (of either type -- $\mathcal{A}$ or $\mathcal{X}$), and let
$S$ be a closed subset of $\left(V^\vee\right)^{\text{trop}}(\mathbb{R})$ --
the ambient space of $\mathfrak{D}$. The set $S$ is positive if the theta
functions corresponding to the integral points of $S$ and its
$\mathbb{N}$-dilations define an $\mathbb{N}$-graded subalgebra of $\Gamma(V,
\mathcal{O}_V)[x]$. In particular, a positive set $S$ defines a
compactification of $V$ through a Proj construction applied to the
corresponding $\mathbb{N}$-graded algebra. In this paper we give a natural
convexity notion for subsets of $\mathfrak{D}$, called "broken line convexity",
and show that a set is positive if and only if it is broken line convex. The
combinatorial criterion of broken line convexity provides a tractable way to
construct positive subsets of $\mathfrak{D}$, or to check positivity of a given
subset.
| [
{
"created": "Mon, 30 Dec 2019 18:52:47 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Jan 2021 23:40:48 GMT",
"version": "v2"
}
] | 2021-01-29 | [
[
"Cheung",
"Man-Wai",
""
],
[
"Magee",
"Timothy",
""
],
[
"Chávez",
"Alfredo Nájera",
""
]
] | 19 | [
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] | 1,224,948 |
1912.13053 | Samuel Schoenholz | Lechao Xiao, Jeffrey Pennington, Samuel S. Schoenholz | Disentangling Trainability and Generalization in Deep Neural Networks | 22 pages, 3 figures, ICML 2020. Associated Colab notebook at
https://colab.research.google.com/github/google/neural-tangents/blob/master/notebooks/Disentangling_Trainability_and_Generalization.ipynb | null | null | null | cs.LG stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A longstanding goal in the theory of deep learning is to characterize the
conditions under which a given neural network architecture will be trainable,
and if so, how well it might generalize to unseen data. In this work, we
provide such a characterization in the limit of very wide and very deep
networks, for which the analysis simplifies considerably. For wide networks,
the trajectory under gradient descent is governed by the Neural Tangent Kernel
(NTK), and for deep networks the NTK itself maintains only weak data
dependence. By analyzing the spectrum of the NTK, we formulate necessary
conditions for trainability and generalization across a range of architectures,
including Fully Connected Networks (FCNs) and Convolutional Neural Networks
(CNNs). We identify large regions of hyperparameter space for which networks
can memorize the training set but completely fail to generalize. We find that
CNNs without global average pooling behave almost identically to FCNs, but that
CNNs with pooling have markedly different and often better generalization
performance. These theoretical results are corroborated experimentally on
CIFAR10 for a variety of network architectures and we include a colab notebook
that reproduces the essential results of the paper.
| [
{
"created": "Mon, 30 Dec 2019 18:53:24 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jul 2020 04:55:53 GMT",
"version": "v2"
}
] | 2020-07-14 | [
[
"Xiao",
"Lechao",
""
],
[
"Pennington",
"Jeffrey",
""
],
[
"Schoenholz",
"Samuel S.",
""
]
] | 19 | [
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] | 1,224,949 |
1912.13054 | Evgeny Kozik | Fedor \v{S}imkovic IV, Youjin Deng, Evgeny Kozik | Superfluid ground state phase diagram of the two-dimensional Hubbard
model in the emergent Bardeen-Cooper-Schrieffer regime | 6 pages, 4 figures | Phys. Rev. B 104, 020507 (2021) | 10.1103/PhysRevB.104.L020507 | null | cond-mat.str-el cond-mat.quant-gas cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In nonperturbative regimes, the superfluid instability in the two-dimensional
Hubbard model can be described by an emergent BCS theory with small effective
pairing constants. We compute the effective couplings using a controlled
bold-line diagrammatic Monte Carlo approach, which stochastically sums all
skeleton Feynman diagrams dressed in the one- and two-particle channels to high
expansion orders, and map out the resulting superfluid ground-state phase
diagram in a range of next-nearest-neighbor hopping $0 \leq t^{\prime} \leq
0.3t$, interaction strength $0 \leq U \leq 3t$, and lattice filling $0 \leq n
\leq 2$. The phase diagram is dramatically transformed in the hole-doped region
and becomes particularly rich at larger doping and $t'$. At $t'=0.3$, the
weak-coupling picture with the dominant triplet pairing sharply peaked at $n
\approx 0.73$ due to the Van Hove singularity is replaced by a plateau of the
singlet $d_{x^2-y^2}$ paring, while for $U \gtrsim 3t$ the effective couplings
are consistent with the $d_{x^2-y^2}$ high-temperature superconductivity in the
hole-doped region near cuprates' optimal doping.
| [
{
"created": "Mon, 30 Dec 2019 18:54:20 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Nov 2020 21:13:32 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Jul 2021 16:15:58 GMT",
"version": "v3"
}
] | 2021-07-28 | [
[
"Šimkovic",
"Fedor",
"IV"
],
[
"Deng",
"Youjin",
""
],
[
"Kozik",
"Evgeny",
""
]
] | 19 | [
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] | 1,224,950 |
1912.13055 | David Cardon | David A. Cardon, Evan L. Sorensen, and Jason C. White | Interlacing Properties of Coefficient Polynomials in Differential
Operator Representations of Real-Root Preserving Linear Transformations | 16 pages. This version improves exposition and corrects several
typographical errors | Constructive Approximation 57 (2023), 235-253 | null | null | math.CV math.CA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study linear transformations $T \colon \mathbb{R}[x] \to \mathbb{R}[x]$ of
the form $T[x^n]=P_n(x)$ where $\{P_n(x)\}$ is a real orthogonal polynomial
system. Such transformations that preserve or shrink the location of the
complex zeros of polynomials is a recent object of study, motivated by the
Riemann Hypothesis. In particular, we are interested in linear transformations
that map polynomials with all real zeros to polynomials with all real zeros. It
is well known that any transformation $T \colon \mathbb{C}[x] \rightarrow
\mathbb{C}[x]$ has a differential operator representation $T = \sum_{k =
0}^\infty \frac{Q_k(x)}{k!} D^k$. Motivated by the work of Chasse
\cite{Chasse-PhD-2011}, Forg\'acs, and Piotrowski
\cite{Forgacs-Piotrowski-Hermite-2015}, we seek to understand the behavior of
the transformation $T$ by studying the roots of the $Q_k(x)$. We prove four
main things. First, we show that the only case where the $Q_k(x)$ are constant
and $\{P_n(x)\}$ are an orthogonal system is that when the $P_n$ form a shifted
set of generalized probabilist Hermite polynomials. Second, we show that the
coefficient polynomials $Q_k(x)$ have real roots when the $P_n(x)$ are the
physicist Hermite polynomials or the Laguerre polynomials. Next, we show that
in these cases, the roots of successive polynomials strictly interlace, a
property that has not yet been studied for coefficient polynomials. We conclude
by discussing the Chebyshev and Legendre polynomials, proving a conjecture of
Chasse, and presenting several open problems.
| [
{
"created": "Mon, 30 Dec 2019 18:55:29 GMT",
"version": "v1"
},
{
"created": "Wed, 19 May 2021 15:02:01 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Jun 2021 17:37:47 GMT",
"version": "v3"
},
{
"created": "Tue, 21 Dec 2021 01:29:01 GMT",
"version": "v4"
}
] | 2023-08-11 | [
[
"Cardon",
"David A.",
""
],
[
"Sorensen",
"Evan L.",
""
],
[
"White",
"Jason C.",
""
]
] | 19 | [
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-1.5851759910583496,
0.18982961773872375,
0.40114882588386536,
-0.3067179024219513
] | 1,224,951 |
1912.13056 | Javier Fernandez de Bobadilla | J. Fern\'andez de Bobadilla, G. Pe\~nafort, E. Sampaio | Topological invariants and Milnor fibre for $\mathcal{A}$-finite germs
$\mathbb{C}^2\to\mathbb{C}^3$ | Mistake corrected (see the abstract) | null | null | null | math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This note is the observation that a simple combination of known results shows
that the usual analytic invariants of a finitely determined multi-germ $f\colon
(\mathbb{C}^2,S)\to(\mathbb{C}^3,0)$ ---namely the image Milnor number $\mu_I$,
the number of crosscaps and triple points, $C$ and $T$, and the Milnor number
$\mu(\Sigma)$ of the curve of double points in the target--- depend only on the
embedded topological type of the image of $f$. As a consequence one obtains the
topological invariance of the sign-refined Smale invariant for immersions
$j\colon S^3\looparrowright S^5$ associated to finitely determined map germs
$(\mathbb{C}^2,0)\to(\mathbb{C}^3,0)$.
This note is a corrected version of a previous homonymous work containing an
error. A previous wrong computation of $b_1(\mathbb{F})$, spotted by Siersma,
has been replaced by the correct statement, due to Van Straten. This has forced
the proofs for the mentioned topological invariances to differ significantly
from the previous version.
| [
{
"created": "Mon, 30 Dec 2019 18:59:04 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Jan 2020 16:05:11 GMT",
"version": "v2"
}
] | 2020-01-17 | [
[
"de Bobadilla",
"J. Fernández",
""
],
[
"Peñafort",
"G.",
""
],
[
"Sampaio",
"E.",
""
]
] | 19 | [
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] | 1,224,952 |
1912.13057 | Jochen Gl\"uck | Jochen Gl\"uck and Delio Mugnolo | Eventual Domination for Linear Evolution Equations | 21 pages. This is version 4. Minor changes and corrections compared
to version 3 | null | null | null | math.FA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider two $C_0$-semigroups on function spaces or, more generally,
Banach lattices and give necessary and sufficient conditions for the orbits of
the first semigroup to dominate the orbits of the second semigroup for large
times. As an important special case we consider an $L^2$-space and self-adjoint
operators $A$ and $B$ which generate $C_0$-semigroups; in this situation we
give criteria for the existence of a time $t_1 \ge 0$ such that $e^{tB} \ge
e^{tA}$ for all subsequent times $t\ge t_1$.
As a consequence of our abstract theory, we obtain many surprising insights
into the behaviour of various second and fourth order differential operators.
| [
{
"created": "Mon, 30 Dec 2019 18:59:07 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jan 2020 16:30:37 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Jan 2020 15:15:28 GMT",
"version": "v3"
},
{
"created": "Wed, 6 Jan 2021 20:37:54 GMT",
"version": "v4"
}
] | 2021-01-08 | [
[
"Glück",
"Jochen",
""
],
[
"Mugnolo",
"Delio",
""
]
] | 19 | [
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] | 1,224,953 |
1912.13058 | Yong-Hui Qi | Yong-Hui Qi, Jiang-Hao Yu, Shou-Hua Zhu | Effective Field Theory Perspective on Next-to-Minimal Composite Higgs | 40 pages, 1 table | Phys. Rev. D 103, 015013 (2021) | 10.1103/PhysRevD.103.015013 | null | hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study both the CP-even and CP-odd effective chiral Lagrangians of next
minimal composite Higgs model {with symmetry breaking pattern depicted by the
coset $SO(6)/SO(5)$} through the sigma/omega decomposition, in which the
Goldstone matrix of the coset is decomposed in terms of the standard model
Higgs doublet and an additional scalar singlet $s$ at the electroweak scale.
The effective Lagrangian is described by the electroweak chiral Lagrangian up
to $p^4$ order, with a function dependence on the Higgs boson and new scalar
$s$, named Higgs function. This function in the effective Lagrangian
incorporates the Higgs non-linearity or vacuum misalignment effects in the next
minimal composite Higgs model, due to the Riemann curvature on the
Nambu-Goldstone bosons scalar manifold, leads to various Higgs couplings
deviated from the standard model ones, and also indicates the relations among
different Higgs couplings in the low energy. Matching to the Higgs effective
field theory below the electroweak scale, we obtain various low energy
observables such as the electroweak oblique parameters, anomalous triple and
quartic gauge couplings, anomalous couplings of Higgs to gauge bosons, in which
the Higgs non-linearity effects are encoded in the ratio $\xi\equiv v^2/f^2$ of
the electroweak scale and the new physics scale.
| [
{
"created": "Mon, 30 Dec 2019 19:00:04 GMT",
"version": "v1"
}
] | 2021-01-20 | [
[
"Qi",
"Yong-Hui",
""
],
[
"Yu",
"Jiang-Hao",
""
],
[
"Zhu",
"Shou-Hua",
""
]
] | 19 | [
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] | 1,224,954 |
1912.13059 | Hwanmun Kim | Hwanmun Kim, Hossein Dehghani, Hideo Aoki, Ivar Martin, and Mohammad
Hafezi | Optical imprinting of superlattices in two-dimensional materials | 5+5 pages, 4+2 figures | Phys. Rev. Research 2, 043004 (2020) | 10.1103/PhysRevResearch.2.043004 | null | cond-mat.mes-hall cond-mat.mtrl-sci quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an optical method of shining circularly polarized and spatially
periodic laser fields to imprint superlattice structures in two-dimensional
electronic systems. By changing the configuration of the optical field, we
synthesize various lattice structures with different spatial symmetry,
periodicity, and strength. We find that the wide optical tunability allows one
to tune different properties of the effective band structure, including Chern
number, energy bandwidths, and band gaps. The in situ tunability of the
superlattice gives rise to unique physics ranging from the topological
transitions to the creation of the flat bands through the kagome superlattice,
which can allow a realization of strongly correlated phenomena in Floquet
systems. We consider the high-frequency regime where the electronic system can
remain in the quasiequilibrium phase for an extended amount of time. The
spatiotemporal reconfigurability of the present scheme opens up possibilities
to control light-matter interaction to generate novel electronic states and
optoelectronic devices.
| [
{
"created": "Mon, 30 Dec 2019 19:00:22 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jul 2020 15:40:40 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Aug 2020 17:02:32 GMT",
"version": "v3"
},
{
"created": "Mon, 5 Oct 2020 18:49:35 GMT",
"version": "v4"
}
] | 2020-10-07 | [
[
"Kim",
"Hwanmun",
""
],
[
"Dehghani",
"Hossein",
""
],
[
"Aoki",
"Hideo",
""
],
[
"Martin",
"Ivar",
""
],
[
"Hafezi",
"Mohammad",
""
]
] | 19 | [
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] | 1,224,955 |
1912.13060 | Vladimir Tello | Goran Senjanovic and Vladimir Tello | Parity and the origin of neutrino mass | 10 pages. Some conceptual issues clarified, some text changes, a
number of references added | null | 10.1142/S0217751X20500530 | null | hep-ph hep-ex | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the LHC era the issue of the origin and nature of neutrino mass has
attained a new meaning and a renewed importance. The growing success of the
Higgs-Weinberg mechanism behind the charged fermion masses paves the way for
the question of neutrino mass. We have shown recently how the spontaneous
breaking of parity in the context of the minimal Left-Right Symmetric Model
allows to probe the origin of neutrino mass in complete analogy with the
charged fermions masses in the Standard Model. We revisit here this issue and
fill in the gaps left in our previous work. In particular we discuss a number
of different mathematical approaches to the problem of disentangling the seesaw
mechanism and show how a unique analytical solution emerges. Most important, we
give all the possible expressions for the neutrino Dirac mass matrix for
general values of light and heavy neutrino mass matrices. In practical terms
what is achieved is an untangling of the seesaw mechanism with clear and
precise predictions testable at hadron colliders such as LHC.
| [
{
"created": "Mon, 30 Dec 2019 19:00:37 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Jan 2020 18:59:10 GMT",
"version": "v2"
}
] | 2020-05-20 | [
[
"Senjanovic",
"Goran",
""
],
[
"Tello",
"Vladimir",
""
]
] | 19 | [
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] | 1,224,956 |
1912.13061 | Paulo Silva | Paulo J. Silva, Orlando Oliveira | Lattice computation of the quark propagator in Landau gauge at finite
temperature | 7 pages, 7 figures, Lattice 2019 proceedings (minor correction on
February 12, 2020) | null | null | null | hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We report on the lattice computation of the quark propagator at finite
temperature in the Landau gauge, using quenched gauge configurations. The
propagator form factors are computed for various temperatures, above and below
the gluon deconfinement temperature $T_c$, and for all the Matsubara
frequencies. Our results suggest a strong connection between quark and gluon
deconfinement and chiral symmetry restoration above $T_c$.
| [
{
"created": "Mon, 30 Dec 2019 19:05:18 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Feb 2020 18:45:49 GMT",
"version": "v2"
}
] | 2020-02-13 | [
[
"Silva",
"Paulo J.",
""
],
[
"Oliveira",
"Orlando",
""
]
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] | 1,224,957 |
1912.13062 | Matthew Junge | Riti Bahl, Philip Barnet, and Matthew Junge | Parking on supercritical Galton-Watson trees | 14 pages, 1 figure, v2 eliminates a hypothesis from our main theorem
and a new proposition for the growth rate of EX_n | null | null | null | math.PR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | At each site of a supercritical Galton-Watson tree place a parking spot which
can accommodate one car. Initially, an independent and identically distributed
number of cars arrive at each vertex. Cars proceed towards the root in discrete
time and park in the first available spot they come to. Let $X$ be the total
number of cars that arrive to the root. Goldschmidt and Przykucki proved that
$X$ undergoes a phase transition from being finite to infinite almost surely as
the mean number of cars arriving to each vertex increases. We show that $EX$ is
finite at the critical threshold, describe its growth rate above criticality,
and prove that it increases as the initial car arrival distribution becomes
less concentrated. For the canonical case that either 0 or 2 cars arrive at
each vertex of a $d$-ary tree, we give improved bounds on the critical
threshold and show that $P(X = 0)$ is discontinuous.
| [
{
"created": "Mon, 30 Dec 2019 19:06:59 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jan 2020 17:02:27 GMT",
"version": "v2"
}
] | 2020-01-14 | [
[
"Bahl",
"Riti",
""
],
[
"Barnet",
"Philip",
""
],
[
"Junge",
"Matthew",
""
]
] | 19 | [
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] | 1,224,958 |
1912.13063 | Adriano Zambom | Adriano Zanin Zambom, Seonjin Kim, Nancy Lopes Garcia | Variable Length Markov Chain with Exogenous Covariates | null | null | null | null | stat.ME | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Markov Chains with variable length are useful stochastic models for data
compression that avoid the curse of dimensionality faced by that full Markov
Chains. In this paper we introduce a Variable Length Markov Chain whose
transition probabilities depend not only on the state history but also on
exogenous covariates through a logistic model. The goal of the proposed
procedure is to obtain the context of the process, that is, the history of the
process that is relevant for predicting the next state, together with the
estimated coefficients corresponding to the significant exogenous variables. We
show that the proposed method is consistent in the sense that the probability
that the estimated context and the coefficients are equal to the true data
generating mechanism tend to 1 as the sample size increases. Simulations
suggest that, when covariates do contribute for the transition probability, the
proposed procedure outperforms variable length Markov Chains that do not
consider covariates while yielding comparable results when covariates are not
present.
| [
{
"created": "Mon, 30 Dec 2019 19:11:12 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Zambom",
"Adriano Zanin",
""
],
[
"Kim",
"Seonjin",
""
],
[
"Garcia",
"Nancy Lopes",
""
]
] | 19 | [
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] | 1,224,959 |
1912.13064 | Kwon Park | Hyunwoong Kwon and Kwon Park | Projected BCS Theory for the Unification of Antiferromagnetism and
Strongly Correlated Superconductivity | 14 pages, 11 figures | null | null | null | cond-mat.str-el cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The intimate connection between antiferromagnetism and superconductivity is
at the core of high-temperature superconductivity. Here, we put forward the
projected BCS theory for the unification of antiferromagnetism at half filling
and strongly correlated superconductivity at moderate doping. Specifically, it
is shown that the projected BCS theory provides excellent trial states for the
exact ground states of the $t$-$J$ model in the square lattice, generating the
unified phase diagram as a continuous function of hole concentration. Precisely
capturing antiferromagnetism at half filling, which is ultimately a consequence
of the strong correlation between Cooper pairs, the projected BCS theory is
able to produce better trial states for strongly correlated superconductivity
at moderate doping than the resonating valence bond state. Finally, we discuss
various ramifications of the projected BCS theory.
| [
{
"created": "Mon, 30 Dec 2019 19:13:44 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Kwon",
"Hyunwoong",
""
],
[
"Park",
"Kwon",
""
]
] | 19 | [
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] | 1,224,960 |
1912.13065 | Dmitri Melikhov | Dmitri Melikhov | Analytic Properties of Triangle Feynman Diagrams in Quantum Field Theory | 13 pages, Lecture given at Helmholtz - DIAS International Summer
School "Quantum Field Theory at the Limits: from Strong Fields to Heavy
Quarks" 22 July - 2 August 2019, Dubna, Russia. Based on arXiv:hep-ph/0610330 | Particles, 3, 99 (2020) | 10.3390/particles3010009 | null | hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss dispersion representations for the triangle diagram
$F(p_1^2,p_2^2,q^2)$, the single dispersion representation in $q^2$ and the
double dispersion representation in $p_1^2$ and $p_2^2$, with special emphasis
on the appearance of the anomalous singularities and the anomalous cuts in
these representations.
| [
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{
"created": "Sun, 5 Jan 2020 11:27:10 GMT",
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] | 1,224,961 |
1912.13066 | Dom\`enec Ruiz-Balet | Dom\`enec Ruiz-Balet, Enrique Zuazua | Control under constraints for multi-dimensional reaction-diffusion
monostable and bistable equations | null | null | null | null | math.OC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Dynamic phenomena in social and biological sciences can often be modeled by
employing reaction-diffusion equations. When addressing the control of these
modes, from a mathematical viewpoint one of the main challenges is that,
because of the intrinsic nature of the models under consideration, the
solution, typically a proportion or a density function, needs to preserve given
lower and upper bounds. Controlling the system to the desired final
configuration then becomes complex, and sometimes even impossible. In the
present work, we analyze the controllability to constant steady-states of
spatially homogeneous semilinear heat equations, with constraints in the state,
and using boundary controls, which is indeed a natural way of acting on the
system in the present context. The nonlinearities considered are among the most
frequent: monostable and bistable ones. We prove that controlling the system to
a constant steady-state may become impossible when the diffusivity is too small
(or when the domain is large), due to the existence of barrier functions. When
such an obstruction does not arise, we build sophisticated control strategies
combining the dissipativity of the system, the existence of traveling waves and
some connectivity of the set of steady-states. This connectivity allows
building paths that the controlled trajectories can follow, in a long time,
with small oscillations, preserving the natural constraints of the system. This
kind of strategy was successfully implemented in one-space dimension, where
phase plane analysis techniques allowed to decode the nature of the set of
steady-states. These techniques fail in the present multi-dimensional setting.
We employ a fictitious domain technique, extending the system to a larger ball,
and building paths of radially symmetric solution that can then be restricted
to the original domain.
| [
{
"created": "Mon, 30 Dec 2019 19:25:10 GMT",
"version": "v1"
},
{
"created": "Sun, 31 May 2020 08:07:54 GMT",
"version": "v2"
}
] | 2020-06-02 | [
[
"Ruiz-Balet",
"Domènec",
""
],
[
"Zuazua",
"Enrique",
""
]
] | 19 | [
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] | 1,224,962 |
1912.13067 | Prakash Chakraborty | Prakash Chakraborty and Harsha Honnappa | A Many-Server Functional Strong Law For A Non-Stationary Loss Model | null | null | null | null | math.PR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The purpose of this note is to show that it is possible to establish a
many-server functional strong law of large numbers (FSLLN) for the fraction of
occupied servers (i.e., the scaled number-in-system) without explicitly
tracking either the age or the residual service times of the jobs in a
non-Markovian, non-stationary loss model. This considerable analytical
simplification is achieved by exploiting a semimartingale representation. The
fluid limit is shown to be the unique solution of a Volterra integral equation.
| [
{
"created": "Mon, 30 Dec 2019 19:30:11 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Chakraborty",
"Prakash",
""
],
[
"Honnappa",
"Harsha",
""
]
] | 19 | [
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] | 1,224,963 |
1912.13068 | Greg Knese | Greg Knese | A simple proof of necessity in the McCullough-Quiggin theorem | null | Proc. Amer. Math. Soc. 148 (2020), no. 8, 3453-3456 | 10.1090/proc/15061 | null | math.FA math.CV | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A short and simple proof of necessity in the McCullough-Quiggin
characterization of positive semi-definite kernels with the complete Pick
property is presented.
| [
{
"created": "Mon, 30 Dec 2019 19:41:39 GMT",
"version": "v1"
}
] | 2022-03-04 | [
[
"Knese",
"Greg",
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1912.13069 | Clay C\'ordova | Clay Cordova, Kantaro Ohmori | Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry | 4 pages, 1 figure | Phys. Rev. D 102, 025011 (2020) | 10.1103/PhysRevD.102.025011 | null | hep-th cond-mat.str-el math-ph math.AT math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove that in $(3+1)d$ quantum field theories with $\mathbb{Z}_N$
symmetry, certain anomalies forbid a symmetry-preserving vacuum state with a
gapped spectrum. In particular, this applies to discrete chiral symmetries
which are frequently present in gauge theories as we illustrate in examples.
Our results also constrain the long-distance behavior of certain condensed
matter systems such as Weyl-semimetals and may have applications to
crystallographic phases with symmetry protected topological order. These
results may be viewed as analogs of the Lieb-Schultz-Mattis theorem for
continuum field theories.
| [
{
"created": "Mon, 30 Dec 2019 19:46:39 GMT",
"version": "v1"
}
] | 2020-07-22 | [
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],
[
"Ohmori",
"Kantaro",
""
]
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] | 1,224,965 |
1912.13070 | Dmitry Kleinbock | Dmitry Kleinbock, Nikolay Moshchevitin and Barak Weiss | Singular vectors on manifolds and fractals | 20 pages; some misprints corrected, proof of Prop 5.1(ii) expanded | null | null | null | math.NT math.DS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We generalize Khintchine's method of constructing totally irrational singular
vectors and linear forms. The main result of the paper shows existence of
totally irrational vectors and linear forms with large uniform Diophantine
exponents on certain subsets of $\mathbb{R}^n$, in particular on any analytic
submanifold of $\mathbb{R}^n$ of dimension $\ge 2$ which is not contained in a
proper rational affine subspace.
| [
{
"created": "Mon, 30 Dec 2019 19:57:34 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Sep 2020 13:20:47 GMT",
"version": "v2"
}
] | 2020-09-28 | [
[
"Kleinbock",
"Dmitry",
""
],
[
"Moshchevitin",
"Nikolay",
""
],
[
"Weiss",
"Barak",
""
]
] | 19 | [
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] | 1,224,966 |
1912.13071 | Elena Hassinger | F. Arnold, M. Naumann, H. Rosner, N. Kikugawa, D. Graf, L. Balicas, T.
Terashima, S. Uji, H. Takatsu, S. Khim, A.P. Mackenzie, E. Hassinger | The Fermi surface of PtCoO2 from quantum oscillations and electronic
structure calculations | null | Phys. Rev. B 101, 195101 (2020) | 10.1103/PhysRevB.101.195101 | null | cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The delafossite series of layered oxides include some of the highest
conductivity metals ever discovered. Of these, PtCoO2, with a room temperature
resistivity of 1.8 microOhmcm for in-plane transport, is the most conducting of
all. The high conduction takes place in triangular lattice Pt layers, separated
by layers of Co-O octahedra, and the electronic structure is determined by the
interplay of the two types of layer. We present a detailed study of quantum
oscillations in PtCoO2, at temperatures down to 35 mK and magnetic fields up to
30 T. As for PdCoO2 and PdRhO2, the Fermi surface consists of a single cylinder
with mainly Pt character, and an effective mass close to the free electron
value. Due to Fermi-surface warping, two close-lying high frequencies are
observed. Additionally, a pronounced difference frequency appears. By analysing
the detailed angular dependence of the quantum-oscillation frequencies, we
establish the warping parameters of the Fermi surface. We compare these results
to the predictions of first-principles electronic structure calculations
including spin-orbit coupling on Pt and Co and on-site correlation U on Co, and
hence demonstrate that electronic correlations in the Co-O layers play an
important role in determining characteristic features of the electronic
structure of PtCoO2.
| [
{
"created": "Mon, 30 Dec 2019 20:03:21 GMT",
"version": "v1"
}
] | 2020-05-06 | [
[
"Arnold",
"F.",
""
],
[
"Naumann",
"M.",
""
],
[
"Rosner",
"H.",
""
],
[
"Kikugawa",
"N.",
""
],
[
"Graf",
"D.",
""
],
[
"Balicas",
"L.",
""
],
[
"Terashima",
"T.",
""
],
[
"Uji",
"S.",
""
],
[
"Takatsu",
"H.",
""
],
[
"Khim",
"S.",
""
],
[
"Mackenzie",
"A. P.",
""
],
[
"Hassinger",
"E.",
""
]
] | 19 | [
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] | 1,224,967 |
1912.13072 | Chiyu Zhang | Muhammad Abdul-Mageed, Chiyu Zhang, Azadeh Hashemi, El Moatez Billah
Nagoudi | AraNet: A Deep Learning Toolkit for Arabic Social Media | Accepted by The 4th Workshop on Open-Source Arabic Corpora and
Processing Tools (OSACT) | null | null | null | cs.CL cs.IR cs.LG | http://creativecommons.org/licenses/by-nc-sa/4.0/ | We describe AraNet, a collection of deep learning Arabic social media
processing tools. Namely, we exploit an extensive host of publicly available
and novel social media datasets to train bidirectional encoders from
transformer models (BERT) to predict age, dialect, gender, emotion, irony, and
sentiment. AraNet delivers state-of-the-art performance on a number of the
cited tasks and competitively on others. In addition, AraNet has the advantage
of being exclusively based on a deep learning framework and hence feature
engineering free. To the best of our knowledge, AraNet is the first to performs
predictions across such a wide range of tasks for Arabic NLP and thus meets a
critical needs. We publicly release AraNet to accelerate research and
facilitate comparisons across the different tasks.
| [
{
"created": "Mon, 30 Dec 2019 20:05:37 GMT",
"version": "v1"
},
{
"created": "Sat, 11 Apr 2020 18:31:26 GMT",
"version": "v2"
}
] | 2020-04-14 | [
[
"Abdul-Mageed",
"Muhammad",
""
],
[
"Zhang",
"Chiyu",
""
],
[
"Hashemi",
"Azadeh",
""
],
[
"Nagoudi",
"El Moatez Billah",
""
]
] | 19 | [
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] | 1,224,968 |
1912.13073 | Kiran S. Kedlaya | Kiran S. Kedlaya | Frobenius structures on hypergeometric equations | 25 pages; v3: refereed version | null | null | null | math.NT math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give an exposition of Dwork's construction of Frobenius structures
associated to generalized hypergeometric equations via the interpretation of
the latter due to Gelfand-Kapranov-Zelevinsky in the language of
A-hypergeometric systems. As a consequence, we extract some explicit formulas
for the degeneration at 0 in terms of the Morita p-adic gamma function.
| [
{
"created": "Mon, 30 Dec 2019 20:12:08 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Jun 2021 02:26:46 GMT",
"version": "v2"
},
{
"created": "Fri, 10 Dec 2021 21:24:34 GMT",
"version": "v3"
}
] | 2021-12-14 | [
[
"Kedlaya",
"Kiran S.",
""
]
] | 19 | [
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] | 1,224,969 |
1912.13074 | Ond\v{r}ej Kreml | Christian Klingenberg, Ond\v{r}ej Kreml, V\'aclav M\'acha and Simon
Markfelder | Shocks Make the Riemann Problem for the Full Euler System in Multiple
Space Dimensions Ill-posed | 21 pages, 3 figures | null | 10.1088/1361-6544/aba3b2 | null | math.AP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The question of (non-)uniqueness of one-dimensional self-similar solutions to
the Riemann problem for hyperbolic systems of gas dynamics in sets of
multi-dimensional admissible weak solutions was addressed in recent years in
several papers culminating in [17] with the proof that the Riemann problem for
the isentropic Euler system with a power law pressure is ill-posed if the
one-dimensional self-similar solution contains a shock. Natural question then
arises whether the same holds also for a more involved system of equations, the
full Euler system. After the first step in this direction was made in [1],
where the ill-posedness was proved in the case of two shocks appearing in the
self-similar solution, we prove in this paper that the presence of just one
shock in the self-similar solution implies the same outcome, i.e. the existence
of infinitely many admissible weak solutions to the multi-dimensional problem.
| [
{
"created": "Mon, 30 Dec 2019 20:18:56 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Jan 2020 10:33:52 GMT",
"version": "v2"
}
] | 2020-12-02 | [
[
"Klingenberg",
"Christian",
""
],
[
"Kreml",
"Ondřej",
""
],
[
"Mácha",
"Václav",
""
],
[
"Markfelder",
"Simon",
""
]
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1912.13075 | Hesham Mostafa | Hesham Mostafa | Robust Federated Learning Through Representation Matching and Adaptive
Hyper-parameters | null | null | null | null | cs.LG stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Federated learning is a distributed, privacy-aware learning scenario which
trains a single model on data belonging to several clients. Each client trains
a local model on its data and the local models are then aggregated by a central
party. Current federated learning methods struggle in cases with heterogeneous
client-side data distributions which can quickly lead to divergent local models
and a collapse in performance. Careful hyper-parameter tuning is particularly
important in these cases but traditional automated hyper-parameter tuning
methods would require several training trials which is often impractical in a
federated learning setting. We describe a two-pronged solution to the issues of
robustness and hyper-parameter tuning in federated learning settings. We
propose a novel representation matching scheme that reduces the divergence of
local models by ensuring the feature representations in the global (aggregate)
model can be derived from the locally learned representations. We also propose
an online hyper-parameter tuning scheme which uses an online version of the
REINFORCE algorithm to find a hyper-parameter distribution that maximizes the
expected improvements in training loss. We show on several benchmarks that our
two-part scheme of local representation matching and global adaptive
hyper-parameters significantly improves performance and training robustness.
| [
{
"created": "Mon, 30 Dec 2019 20:19:20 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Mostafa",
"Hesham",
""
]
] | 19 | [
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] | 1,224,971 |
1912.13076 | Alex Reinhart | Alex Reinhart and Christopher R. Genovese | Expanding the scope of statistical computing: Training statisticians to
be software engineers | 22 pages | Journal of Statistics and Data Science Education (2021), 29:sup1,
S7-S15 | 10.1080/10691898.2020.1845109 | null | stat.CO stat.OT | http://creativecommons.org/licenses/by/4.0/ | Traditionally, statistical computing courses have taught the syntax of a
particular programming language or specific statistical computation methods.
Since the publication of Nolan and Temple Lang (2010), we have seen a greater
emphasis on data wrangling, reproducible research, and visualization. This
shift better prepares students for careers working with complex datasets and
producing analyses for multiple audiences. But, we argue, statisticians are now
often called upon to develop statistical software, not just analyses, such as R
packages implementing new analysis methods or machine learning systems
integrated into commercial products. This demands different skills.
We describe a graduate course that we developed to meet this need by focusing
on four themes: programming practices; software design; important algorithms
and data structures; and essential tools and methods. Through code review and
revision, and a semester-long software project, students practice all the
skills of software engineering. The course allows students to expand their
understanding of computing as applied to statistical problems while building
expertise in the kind of software development that is increasingly the province
of the working statistician. We see this as a model for the future evolution of
the computing curriculum in statistics and data science.
| [
{
"created": "Mon, 30 Dec 2019 20:23:51 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jul 2020 13:57:39 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Oct 2020 00:53:54 GMT",
"version": "v3"
}
] | 2022-09-01 | [
[
"Reinhart",
"Alex",
""
],
[
"Genovese",
"Christopher R.",
""
]
] | 19 | [
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] | 1,224,972 |
1912.13077 | Changhao Chen | Changhao Chen, Stefano Rosa, Chris Xiaoxuan Lu, Bing Wang, Niki
Trigoni, Andrew Markham | Learning Selective Sensor Fusion for States Estimation | Accepted by IEEE Transactions on Neural Networks and Learning Systems
(TNNLS). arXiv admin note: text overlap with arXiv:1903.01534 | null | null | null | cs.CV cs.LG cs.RO | http://creativecommons.org/licenses/by/4.0/ | Autonomous vehicles and mobile robotic systems are typically equipped with
multiple sensors to provide redundancy. By integrating the observations from
different sensors, these mobile agents are able to perceive the environment and
estimate system states, e.g. locations and orientations. Although deep learning
approaches for multimodal odometry estimation and localization have gained
traction, they rarely focus on the issue of robust sensor fusion - a necessary
consideration to deal with noisy or incomplete sensor observations in the real
world. Moreover, current deep odometry models suffer from a lack of
interpretability. To this extent, we propose SelectFusion, an end-to-end
selective sensor fusion module which can be applied to useful pairs of sensor
modalities such as monocular images and inertial measurements, depth images and
LIDAR point clouds. Our model is a uniform framework that is not restricted to
specific modality or task. During prediction, the network is able to assess the
reliability of the latent features from different sensor modalities and
estimate trajectory both at scale and global pose. In particular, we propose
two fusion modules - a deterministic soft fusion and a stochastic hard fusion,
and offer a comprehensive study of the new strategies compared to trivial
direct fusion. We extensively evaluate all fusion strategies in both public
datasets and on progressively degraded datasets that present synthetic
occlusions, noisy and missing data and time misalignment between sensors, and
we investigate the effectiveness of the different fusion strategies in
attending the most reliable features, which in itself, provides insights into
the operation of the various models.
| [
{
"created": "Mon, 30 Dec 2019 20:25:16 GMT",
"version": "v1"
},
{
"created": "Wed, 18 May 2022 10:42:16 GMT",
"version": "v2"
}
] | 2022-05-19 | [
[
"Chen",
"Changhao",
""
],
[
"Rosa",
"Stefano",
""
],
[
"Lu",
"Chris Xiaoxuan",
""
],
[
"Wang",
"Bing",
""
],
[
"Trigoni",
"Niki",
""
],
[
"Markham",
"Andrew",
""
]
] | 19 | [
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] | 1,224,973 |
1912.13078 | Rui Chen | Rui Chen, James Luedtke | On sample average approximation for two-stage stochastic programs
without relatively complete recourse | null | null | 10.1007/s10107-021-01753-9 | null | math.OC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate sample average approximation (SAA) for two-stage stochastic
programs without relatively complete recourse, i.e., for problems in which
there are first-stage feasible solutions that are not guaranteed to have a
feasible recourse action. As a feasibility measure of the SAA solution, we
consider the "recourse likelihood", which is the probability that the solution
has a feasible recourse action. For $\epsilon \in (0,1)$, we demonstrate that
the probability that a SAA solution has recourse likelihood below $1-\epsilon$
converges to zero exponentially fast with the sample size. Next, we analyze the
rate of convergence of optimal solutions of the SAA to optimal solutions of the
true problem for problems with a finite feasible region, such as bounded
integer programming problems. For problems with non-finite feasible region, we
propose modified "padded" SAA problems and demonstrate in two cases that such
problems can yield, with high confidence, solutions that are certain to have a
feasible recourse decision. Finally, we conduct a numerical study on a
two-stage resource planning problem that illustrates the results, and also
suggests there may be room for improvement in some of the theoretical analysis.
| [
{
"created": "Mon, 30 Dec 2019 20:30:33 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Jan 2021 17:01:19 GMT",
"version": "v2"
},
{
"created": "Tue, 31 Aug 2021 01:50:08 GMT",
"version": "v3"
},
{
"created": "Tue, 30 Nov 2021 16:45:48 GMT",
"version": "v4"
}
] | 2022-04-05 | [
[
"Chen",
"Rui",
""
],
[
"Luedtke",
"James",
""
]
] | 19 | [
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] | 1,224,974 |
1912.13079 | Juergen Haase | Danica Pavi\'cevi\'c, Marija Avramovska and J\"urgen Haase | Unconventional $^{17}$O and $^{63}$Cu NMR shift components in cuprate
superconductors | 9 pages, 7 figures | Mod. Physics. Let. B, 34 (2020) 2040047 | 10.1142/S0217984920400473 | null | cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Nuclear magnetic resonance (NMR) is a fundamental bulk probe that provides
key information about the electronic properties of materials. Very recently,
the analysis of all available planar copper shift as well as relaxation data
proved that while the shifts cannot be understood in terms of a single
temperature dependent spin component, relaxation can be explained with one
dominating Fermi liquid-like component, without enhanced electronic spin
fluctuations. For the shifts, a doping dependent isotropic term, as well as
doping independent anisotropic term became obvious. Here we focus on planar
$^{17}$O NMR shifts and quadrupole splittings. Surprisingly, we find that they
demand, independently, a similar two-component scenario and confirm most of the
previous conclusions concerning the properties of the spin components, in
particular that a negative spin polarization survives in the superconducting
state. This should have consequences for the pairing scenario.
| [
{
"created": "Mon, 30 Dec 2019 20:45:56 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Mar 2020 10:47:22 GMT",
"version": "v2"
}
] | 2020-09-22 | [
[
"Pavićević",
"Danica",
""
],
[
"Avramovska",
"Marija",
""
],
[
"Haase",
"Jürgen",
""
]
] | 19 | [
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1912.13080 | Sean MacAvaney | Sean MacAvaney, Luca Soldaini, Nazli Goharian | Teaching a New Dog Old Tricks: Resurrecting Multilingual Retrieval Using
Zero-shot Learning | ECIR 2020 (short) | null | 10.1007/978-3-030-45442-5_31 | null | cs.IR cs.CL cs.LG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | While billions of non-English speaking users rely on search engines every
day, the problem of ad-hoc information retrieval is rarely studied for
non-English languages. This is primarily due to a lack of data set that are
suitable to train ranking algorithms. In this paper, we tackle the lack of data
by leveraging pre-trained multilingual language models to transfer a retrieval
system trained on English collections to non-English queries and documents. Our
model is evaluated in a zero-shot setting, meaning that we use them to predict
relevance scores for query-document pairs in languages never seen during
training. Our results show that the proposed approach can significantly
outperform unsupervised retrieval techniques for Arabic, Chinese Mandarin, and
Spanish. We also show that augmenting the English training collection with some
examples from the target language can sometimes improve performance.
| [
{
"created": "Mon, 30 Dec 2019 20:46:38 GMT",
"version": "v1"
}
] | 2020-05-01 | [
[
"MacAvaney",
"Sean",
""
],
[
"Soldaini",
"Luca",
""
],
[
"Goharian",
"Nazli",
""
]
] | 19 | [
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] | 1,224,976 |
1912.13081 | Stephane Bonhomme | Manuel Arellano, Stephane Bonhomme | Recovering Latent Variables by Matching | null | null | null | null | econ.EM | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an optimal-transport-based matching method to nonparametrically
estimate linear models with independent latent variables. The method consists
in generating pseudo-observations from the latent variables, so that the
Euclidean distance between the model's predictions and their matched
counterparts in the data is minimized. We show that our nonparametric estimator
is consistent, and we document that it performs well in simulated data. We
apply this method to study the cyclicality of permanent and transitory income
shocks in the Panel Study of Income Dynamics. We find that the dispersion of
income shocks is approximately acyclical, whereas the skewness of permanent
shocks is procyclical. By comparison, we find that the dispersion and skewness
of shocks to hourly wages vary little with the business cycle.
| [
{
"created": "Mon, 30 Dec 2019 20:49:27 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Arellano",
"Manuel",
""
],
[
"Bonhomme",
"Stephane",
""
]
] | 19 | [
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1912.13082 | Makarand Tapaswi | Atef Chaudhury, Makarand Tapaswi, Seung Wook Kim, Sanja Fidler | The Shmoop Corpus: A Dataset of Stories with Loosely Aligned Summaries | Project page: http://www.cs.toronto.edu/~makarand/shmoop/ Dataset at:
https://github.com/achaudhury/shmoop-corpus/ | null | null | null | cs.CL cs.AI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Understanding stories is a challenging reading comprehension problem for
machines as it requires reading a large volume of text and following long-range
dependencies. In this paper, we introduce the Shmoop Corpus: a dataset of 231
stories that are paired with detailed multi-paragraph summaries for each
individual chapter (7,234 chapters), where the summary is chronologically
aligned with respect to the story chapter. From the corpus, we construct a set
of common NLP tasks, including Cloze-form question answering and a simplified
form of abstractive summarization, as benchmarks for reading comprehension on
stories. We then show that the chronological alignment provides a strong
supervisory signal that learning-based methods can exploit leading to
significant improvements on these tasks. We believe that the unique structure
of this corpus provides an important foothold towards making machine story
comprehension more approachable.
| [
{
"created": "Mon, 30 Dec 2019 21:03:59 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jan 2020 16:06:48 GMT",
"version": "v2"
}
] | 2020-01-03 | [
[
"Chaudhury",
"Atef",
""
],
[
"Tapaswi",
"Makarand",
""
],
[
"Kim",
"Seung Wook",
""
],
[
"Fidler",
"Sanja",
""
]
] | 19 | [
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] | 1,224,978 |
1912.13083 | Alexander Teretenkov | A.E. Teretenkov | Irreversible quantum evolution with quadratic generator: Review | null | Inf. Dim. Anal., Quant. Prob. and Rel. Top. 22:4 (2019), 19300019 | 10.1142/S0219025719300019 | null | quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review results on GKSL-type equations with multi-modal generators which
are quadratic in bosonic or fermionic creation and annihilation operators.
General forms of such equations are presented. The Gaussian solutions are
obtained in terms of equations for the first and the second moments. Different
approaches for their solutions are discussed.
| [
{
"created": "Mon, 30 Dec 2019 21:04:18 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Jan 2020 11:10:00 GMT",
"version": "v2"
}
] | 2022-10-04 | [
[
"Teretenkov",
"A. E.",
""
]
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] | 1,224,979 |
1912.13084 | Yi Zhao | Yi Zhao, Brian S. Caffo and Joshua B. Ewen | B-Value and Empirical Equivalence Bound: A New Procedure of Hypothesis
Testing | null | null | null | null | stat.ME | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this study, we propose a two-stage procedure for hypothesis testing, where
the first stage is conventional hypothesis testing and the second is an
equivalence testing procedure using an introduced Empirical Equivalence Bound.
In 2016, the American Statistical Association released a policy statement on
P-values to clarify the proper use and interpretation in response to the
criticism of reproducibility and replicability in scientific findings. A recent
solution to improve reproducibility and transparency in statistical hypothesis
testing is to integrate P-values (or confidence intervals) with practical or
scientific significance. Similar ideas have been proposed via the equivalence
test, where the goal is to infer equality under a presumption (null) of
inequality of parameters. However, in these testing procedures, the definition
of scientific significance/equivalence can be subjective. To circumvent this
drawback, we introduce a B-value and the Empirical Equivalence Bound, which are
both estimated from the data. Performing a second-stage equivalence test, our
procedure offers an opportunity to correct for false positive discoveries and
improve the reproducibility in findings across studies.
| [
{
"created": "Mon, 30 Dec 2019 21:07:05 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Zhao",
"Yi",
""
],
[
"Caffo",
"Brian S.",
""
],
[
"Ewen",
"Joshua B.",
""
]
] | 19 | [
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1912.13085 | Zheng Sun | Zheng Sun and Yulong Xing | On structure-preserving discontinuous Galerkin methods for Hamiltonian
partial differential equations: Energy conservation and multi-symplecticity | 34 pages | null | 10.1016/j.jcp.2020.109662 | null | math.NA cs.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we present and study discontinuous Galerkin (DG) methods for
one-dimensional multi-symplectic Hamiltonian partial differential equations. We
particularly focus on semi-discrete schemes with spatial discretization only,
and show that the proposed DG methods can simultaneously preserve the
multi-symplectic structure and energy conservation with a general class of
numerical fluxes, which includes the well-known central and alternating fluxes.
Applications to the wave equation, the Benjamin-Bona-Mahony equation, the
Camassa-Holm equation, the Korteweg-de Vries equation and the nonlinear
Schr\"odinger equation are discussed. Some numerical results are provided to
demonstrate the accuracy and long time behavior of the proposed methods.
Numerically, we observe that certain choices of numerical fluxes in the
discussed class may help achieve better accuracy compared with the commonly
used ones including the central fluxes.
| [
{
"created": "Mon, 30 Dec 2019 21:11:05 GMT",
"version": "v1"
}
] | 2020-07-15 | [
[
"Sun",
"Zheng",
""
],
[
"Xing",
"Yulong",
""
]
] | 19 | [
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] | 1,224,981 |
1912.13086 | Herbert Egger | Herbert Egger and Mania Sabouri | On the structure preserving high-order approximation of quasistatic
poroelasticity | null | null | null | null | math.NA cs.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the systematic numerical approximation of Biot's quasistatic
model for the consolidation of a poroelastic medium. Various discretization
schemes have been analysed for this problem and inf-sup stable finite elements
have been found suitable to avoid spurios pressure oscillations in the initial
phase of the evolution. In this paper, we first clarify the role of the inf-sup
condition for the well-posedness of the continuous problem and discuss the
choice of appropriate initial conditions. We then develop an abstract error
analysis that allows us to analyse some approximation schemes discussed in the
literature in a unified manner. In addition, we propose and analyse the
high-order time discretization by a scheme that can be interpreted as a variant
of continuous-Galerkin or particular Runge-Kutta methods applied to a modified
system. The scheme is designed to preserve both, the underlying
differential-algebraic structure and energy-dissipation property of the
problem. In summary, we obtain high-order Galerkin approximations with respect
to space and time and derive order-optimal convergence rates. The numerical
analysis is carried out in detail for the discretization of the two-field
formulation by Taylor-Hood elements and a variant of a Runge-Kutta time
discretization. Our arguments can however be extended to three- and four field
formulations and other time discretization strategies.
| [
{
"created": "Mon, 30 Dec 2019 21:11:41 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Egger",
"Herbert",
""
],
[
"Sabouri",
"Mania",
""
]
] | 19 | [
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] | 1,224,982 |
1912.13087 | Timothy McNicholl Ph.D. | Timothy H. McNicholl | Computing the exponent of a Lebesgue space | null | null | null | null | math.LO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the question as to whether the exponent of a computably
presentable Lebesgue space whose dimension is at least 2 must be computable. We
show this very natural conjecture is true when the exponent is at least 2 or
when the space is finite-dimensional. However, we also show there is no uniform
solution even when given upper and lower bounds on the exponent. The proof of
this result leads to some basic results on the effective theory of stable
random variables.
| [
{
"created": "Mon, 30 Dec 2019 21:12:18 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"McNicholl",
"Timothy H.",
""
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] | 1,224,983 |
1912.13088 | Peng Liao | Peng Liao, Predrag Klasnja, Susan Murphy | Off-Policy Estimation of Long-Term Average Outcomes with Applications to
Mobile Health | null | null | null | null | cs.LG math.ST stat.ML stat.TH | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Due to the recent advancements in wearables and sensing technology, health
scientists are increasingly developing mobile health (mHealth) interventions.
In mHealth interventions, mobile devices are used to deliver treatment to
individuals as they go about their daily lives. These treatments are generally
designed to impact a near time, proximal outcome such as stress or physical
activity. The mHealth intervention policies, often called just-in-time adaptive
interventions, are decision rules that map an individual's current state (e.g.,
individual's past behaviors as well as current observations of time, location,
social activity, stress and urges to smoke) to a particular treatment at each
of many time points. The vast majority of current mHealth interventions deploy
expert-derived policies. In this paper, we provide an approach for conducting
inference about the performance of one or more such policies using historical
data collected under a possibly different policy. Our measure of performance is
the average of proximal outcomes over a long time period should the particular
mHealth policy be followed. We provide an estimator as well as confidence
intervals. This work is motivated by HeartSteps, an mHealth physical activity
intervention.
| [
{
"created": "Mon, 30 Dec 2019 21:22:21 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Mar 2020 19:41:48 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Jul 2020 18:00:48 GMT",
"version": "v3"
}
] | 2020-07-24 | [
[
"Liao",
"Peng",
""
],
[
"Klasnja",
"Predrag",
""
],
[
"Murphy",
"Susan",
""
]
] | 19 | [
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] | 1,224,984 |
1912.13089 | Richard Rimanyi | Richard Rimanyi | $\hbar$-deformed Schubert calculus in equivariant cohomology, K-theory,
and elliptic cohomology | null | null | null | null | math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this survey paper we review recent advances in the calculus of
Chern-Schwartz-MacPherson, motivic Chern, and elliptic classes of classical
Schubert varieties. These three theories are one-parameter ($\hbar$)
deformations of the notion of fundamental class in their respective
extraordinary cohomology theories. Examining these three classes in conjunction
is justified by their relation to Okounkov's stable envelope notion. We review
formulas for the $\hbar$-deformed classes originating from Tarasov-Varchenko
weight functions, as well as their orthogonality relations. As a consequence,
explicit formulas are obtained for the Littlewood-Richardson type structure
constants.
| [
{
"created": "Mon, 30 Dec 2019 21:25:29 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Rimanyi",
"Richard",
""
]
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] | 1,224,985 |
1912.13090 | Thomas Witten | Lara Braverman, Aaron Mowitz, Thomas A. Witten | Chiral motion in colloidal electrophoresis | 14 pages | Phys. Rev. E 101, 062608 (2020) | 10.1103/PhysRevE.101.062608 | null | cond-mat.soft physics.chem-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Asymmetrically charged, nonspherical colloidal particles in general perform
complex rotations and oblique motions under an electric field. The interplay of
electrostatic and hydrodynamic forces complicate the prediction of these
motions. We demonstrate a method of calculating the body tensors that dictate
translational and rotational velocity vectors arising from an external electric
field. We treat insulating, rigid bodies in the linear-response regime, with
indefinitely small electrostatic screening length. The method represents the
body as an assembly of point sources of both hydrodynamic drag and surface
electric field. We demonstrate agreement with predicted electrophoretic
mobility to within a few percent for several shapes with uniform and nonuniform
charge. We demonstrate strong chiral twisting motions for colloidal bodies of
symmetrical realistic shapes. The method applies more generally to active
colloidal swimmers.
| [
{
"created": "Mon, 30 Dec 2019 21:26:38 GMT",
"version": "v1"
}
] | 2020-07-01 | [
[
"Braverman",
"Lara",
""
],
[
"Mowitz",
"Aaron",
""
],
[
"Witten",
"Thomas A.",
""
]
] | 19 | [
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] | 1,224,986 |
1912.13091 | Chong You | Daniel P. Robinson and Rene Vidal and Chong You | Basis Pursuit and Orthogonal Matching Pursuit for Subspace-preserving
Recovery: Theoretical Analysis | 31 pages, 6 figures | null | null | null | cs.LG cs.CV stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Given an overcomplete dictionary $A$ and a signal $b = Ac^*$ for some sparse
vector $c^*$ whose nonzero entries correspond to linearly independent columns
of $A$, classical sparse signal recovery theory considers the problem of
whether $c^*$ can be recovered as the unique sparsest solution to $b = A c$. It
is now well-understood that such recovery is possible by practical algorithms
when the dictionary $A$ is incoherent or restricted isometric. In this paper,
we consider the more general case where $b$ lies in a subspace $\mathcal{S}_0$
spanned by a subset of linearly dependent columns of $A$, and the remaining
columns are outside of the subspace. In this case, the sparsest representation
may not be unique, and the dictionary may not be incoherent or restricted
isometric. The goal is to have the representation $c$ correctly identify the
subspace, i.e. the nonzero entries of $c$ should correspond to columns of $A$
that are in the subspace $\mathcal{S}_0$. Such a representation $c$ is called
subspace-preserving, a key concept that has found important applications for
learning low-dimensional structures in high-dimensional data. We present
various geometric conditions that guarantee subspace-preserving recovery. Among
them, the major results are characterized by the covering radius and the
angular distance, which capture the distribution of points in the subspace and
the similarity between points in the subspace and points outside the subspace,
respectively. Importantly, these conditions do not require the dictionary to be
incoherent or restricted isometric. By establishing that the
subspace-preserving recovery problem and the classical sparse signal recovery
problem are equivalent under common assumptions on the latter, we show that
several of our proposed conditions are generalizations of some well-known
conditions in the sparse signal recovery literature.
| [
{
"created": "Mon, 30 Dec 2019 21:31:15 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Robinson",
"Daniel P.",
""
],
[
"Vidal",
"Rene",
""
],
[
"You",
"Chong",
""
]
] | 19 | [
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] | 1,224,987 |
1912.13092 | Ryo Sakai | Daisuke Kadoh, Yoshinobu Kuramashi, Yoshifumi Nakamura, Ryo Sakai,
Shinji Takeda, Yusuke Yoshimura | Investigation of complex $\phi^{4}$ theory at finite density in two
dimensions using TRG | 17 pages, 9 figures | null | 10.1007/JHEP02(2020)161 | UTHEP-740, UTCCS-P-126, KANAZAWA-19-08, NCTS-CMR/1902 | hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the two-dimensional complex $\phi^{4}$ theory at finite chemical
potential using the tensor renormalization group. This model exhibits the
Silver Blaze phenomenon in which bulk observables are independent of the
chemical potential below the critical point. Since it is expected to be a
direct outcome of an imaginary part of the action, an approach free from the
sign problem is needed. We study this model systematically changing the
chemical potential in order to check the applicability of the tensor
renormalization group to the model in which scalar fields are discretized by
the Gaussian quadrature. The Silver Blaze phenomenon is successfully confirmed
on the extremely large volume $V=1024^2$ and the results are also ensured by
another tensor network representation with a character expansion.
| [
{
"created": "Mon, 30 Dec 2019 21:36:01 GMT",
"version": "v1"
}
] | 2020-03-18 | [
[
"Kadoh",
"Daisuke",
""
],
[
"Kuramashi",
"Yoshinobu",
""
],
[
"Nakamura",
"Yoshifumi",
""
],
[
"Sakai",
"Ryo",
""
],
[
"Takeda",
"Shinji",
""
],
[
"Yoshimura",
"Yusuke",
""
]
] | 19 | [
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1912.13093 | Aaron Heap | Aaron Heap, Natalie LaCourt | Space-Efficient Prime Knot 7-Mosaics | null | Symmetry 2020, 12(4), 576 | 10.3390/sym12040576 | null | math.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The concepts of tile number and space-efficiency for knot mosaics were first
explored by Heap and Knowles (arXiv:1702.06462), where they determined the
possible tile numbers and space-efficient layouts for every prime knot with
mosaic number 6 or less. In this paper, we extend those results to prime knots
with mosaic number 7.
| [
{
"created": "Mon, 30 Dec 2019 21:43:02 GMT",
"version": "v1"
}
] | 2020-05-18 | [
[
"Heap",
"Aaron",
""
],
[
"LaCourt",
"Natalie",
""
]
] | 19 | [
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] | 1,224,989 |
1912.13094 | Natasha Blitvi\'c | Natasha Blitvi\'c and Vicente I. Fernandez | Aging a little: The optimality of limited senescence in Escherichia coli | 29 pages (manuscript + supplemental materials). This work grew out of
arXiv:1901.04080 v1, which previously discussed both combinatorics and
biology. The updated arXiv:1901.04080 v2 now focuses solely on the
combinatorial aspects, while this manuscript focuses on the biological
application | null | null | null | q-bio.PE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent studies have shown that even in the absence of extrinsic stress, the
morphologically symmetrically dividing model bacteria Escherichia coli do not
generate offspring with equal reproductive fitness. Instead, daughter cells
exhibit asymmetric division times that converge to two distinct growth states.
This represents a limited senescence / rejuvenation process derived from
asymmetric division that is stable for hundreds of generations. It remains
unclear why the bacteria do not continue the senescence beyond this asymptote.
Although there are inherent fitness benefits for heterogeneity in population
growth rates, the two growth equilibria are surprisingly similar, differing by
a few percent. In this work we derive an explicit model for the growth of a
bacterial population with two growth equilibria, based on a generalized
Fibonacci recurrence, in order to quantify the fitness benefit of a limited
senescence process and examine costs associated with asymmetry that could
generate the observed behavior. We find that with simple saturating effects of
asymmetric partitioning of subcellular components, two distinct but similar
growth states may be optimal while providing evolutionarily significant fitness
advantages.
| [
{
"created": "Mon, 30 Dec 2019 21:48:32 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Blitvić",
"Natasha",
""
],
[
"Fernandez",
"Vicente I.",
""
]
] | 19 | [
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] | 1,224,990 |
1912.13095 | Sharly Fleischer | Dina Rosenberg and Sharly Fleischer | Intrinsic Calibration of Molecular Alignment Using Rotational Echoes | 11 pages | Phys. Rev. Research 2, 023351 (2020) | 10.1103/PhysRevResearch.2.023351 | null | physics.chem-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose and experimentally validate the use of rotational echo responses
for obtaining the degree of molecular alignment induced in a gas. The method is
independent of various parameters that are hardly accessible in most
experimental configurations such as the effective length of interaction and the
gas density as it relies on the intrinsic, self-contained dynamics of the
rotational echo response.
| [
{
"created": "Mon, 30 Dec 2019 21:53:56 GMT",
"version": "v1"
}
] | 2020-07-01 | [
[
"Rosenberg",
"Dina",
""
],
[
"Fleischer",
"Sharly",
""
]
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] | 1,224,991 |
1912.13096 | Ivan L. Andronov | Ivan L. Andronov, Violetta P. Kulynska | Computer Modeling of Irregularly Spaced Signals. Statistical Properties
of the Wavelet Approximation Using a Compact Weight Function | "Annaly Astronomii Nowej" (accepted) | Annales Astronomiae Novae, vol. 1, p. 167-178, 2020;
2020AANv....1..167A | null | null | astro-ph.IM | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The algorithm of modified wavelet analysis is discussed. It is based on the
weighted least squares approximation. Contrary to the Gaussian as a weight
function, we propose to use a compact weight function. The accuracy estimates
using the statistically correct expressions for the least squares
approximations with an additional weight function are compared with that
obtained using the bootstrap method.
| [
{
"created": "Mon, 30 Dec 2019 21:56:33 GMT",
"version": "v1"
}
] | 2020-05-05 | [
[
"Andronov",
"Ivan L.",
""
],
[
"Kulynska",
"Violetta P.",
""
]
] | 19 | [
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] | 1,224,992 |
1912.13097 | Giorgia Bellomonte PhD | Giorgia Bellomonte | Continuous frames for unbounded operators | 26 pages | null | null | null | math.FA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Few years ago G\u{a}vru\c{t}a gave the notions of $K$-frame and atomic system
for a linear bounded operator $K$ in a Hilbert space $\mathcal{H}$ in order to
decompose $\mathcal{R}(K)$, the range of $K$, with a frame-like expansion.
These notions are here generalized to the case of a densely defined and
possibly unbounded operator on a Hilbert space $A$ in a continuous setting,
thus extending what have been done in a previous paper in a discrete framework.
| [
{
"created": "Mon, 30 Dec 2019 22:01:25 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Bellomonte",
"Giorgia",
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1912.13098 | Shaul Zemel | Shaul Zemel | Moments of Partitions and Derivatives of Higher Order | 16 pages, To appear in J. Alg. Comb | null | null | null | math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We Define moments of partitions of integers, and show that they appear in
higher order derivatives of certain combinations of functions.
| [
{
"created": "Mon, 30 Dec 2019 22:03:55 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Nov 2020 16:16:13 GMT",
"version": "v2"
}
] | 2020-11-24 | [
[
"Zemel",
"Shaul",
""
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] | 1,224,994 |
1912.13099 | Tony Se | Sean K. Sather-Wagstaff, Tony Se, Sandra Spiroff | Generic Constructions and Semidualizing Modules | 10 pages | null | null | null | math.AC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate some general machinery for describing semidualizing modules
over generic constructions like ladder determinantal rings with coefficients in
a normal domain. We also pose and investigate natural localization questions
that arise in the process.
| [
{
"created": "Mon, 30 Dec 2019 22:12:00 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Sather-Wagstaff",
"Sean K.",
""
],
[
"Se",
"Tony",
""
],
[
"Spiroff",
"Sandra",
""
]
] | 19 | [
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] | 1,224,995 |
1912.13100 | Ninad Gorey | K.R. Rao, Ninad Gorey | Machine Learning based Post Processing Artifact Reduction in HEVC Intra
Coding | null | null | null | null | eess.IV | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The lossy compression techniques produce various artifacts like blurring,
distortion at block bounders, ringing and contouring effects on outputs
especially at low bit rates. To reduce those compression artifacts various
Convolutional Neural Network (CNN) based post processing techniques have been
experimented over recent years. The latest video coding standard HEVC adopts
two post processing filtering operations namely de-blocking filter (DBF)
followed by sample adaptive offset (SAO). These operations consumes extra
signaling bit and becomes an overhead to network. In this paper we proposed a
new Deep learning based algorithm on SAO filtering operation. We designed a
variable filter size Sub-layered Deeper CNN (SDCNN) architecture to improve
filtering operation and incorporated large stride convolutional, deconvolution
layers for further speed up. We also demonstrated that deeper architecture
model can effectively be trained with the features learnt in a shallow network
using data augmentation and transfer learning based techniques. Experimental
results shows that our proposed network outperforms other networks in terms on
PSNR and SSIM measurements on widely available benchmark video sequences and
also perform an average of 4.1 % bit rate reduction as compared to HEVC
baseline.
| [
{
"created": "Mon, 30 Dec 2019 22:15:21 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Rao",
"K. R.",
""
],
[
"Gorey",
"Ninad",
""
]
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] | 1,224,996 |
1912.13101 | Galina Nemova | Galina Nemova, Xian Jin, Lawrence R. Chen, Sergei V. Firstov, Omur
Sezerman | Dual-Wavelength Bi-Doped Fiber Laser Based on Cascaded Cavities | null | null | null | null | physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a comprehensive theoretical and experimental investigation of a
dual-wavelength, bismuth-doped fiber (BDF) laser operating near 1700 nm based
on cascaded cavities. The BDF provides optical gain from 1650 nm to 1800 nm
when pumped at 1550 nm; the laser cavity is defined by a 90% mirror on one end
and two fiber Bragg gratings (FBGs) separated by a length of BDF on the other.
The laser can operate at either wavelength alone or both wavelengths
simultaneously by simple adjustment of the pump power. Experimental results
correlate well simulations based on a theoretical model of the laser.
| [
{
"created": "Mon, 30 Dec 2019 22:16:38 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Nemova",
"Galina",
""
],
[
"Jin",
"Xian",
""
],
[
"Chen",
"Lawrence R.",
""
],
[
"Firstov",
"Sergei V.",
""
],
[
"Sezerman",
"Omur",
""
]
] | 19 | [
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] | 1,224,997 |
1912.13102 | Frank Trujillo | Frank Trujillo | Quasi-analytic properties of the KAM curve | null | null | null | null | math.DS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Classical KAM theory guarantees the existence of a positive measure set of
invariant tori for sufficiently smooth non-degenerate near-integrable systems.
When seen as a function of the frequency this invariant collection of tori is
called the KAM curve of the system. Restricted to analytic regularity, we
obtain strong quasi-analyticity properties for these objects. In particular, we
prove that KAM curves completely characterize the underlying systems. We also
show some of the dynamical implications on systems whose KAM curves share
certain common features.
| [
{
"created": "Mon, 30 Dec 2019 22:21:28 GMT",
"version": "v1"
},
{
"created": "Mon, 18 May 2020 14:24:43 GMT",
"version": "v2"
}
] | 2020-05-19 | [
[
"Trujillo",
"Frank",
""
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] | 1,224,998 |
1912.13103 | Misha Kilmer | Silvia Gazzola and Misha E. Kilmer and James G. Nagy and Oguz Semerici
and Eric L. Miller | An Inner-Outer Iterative Method for Edge Preservation in Image
Restoration and Reconstruction | null | null | 10.1088/1361-6420/abb299 | null | math.NA cs.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a new inner-outer iterative algorithm for edge enhancement in
imaging problems. At each outer iteration, we formulate a Tikhonov-regularized
problem where the penalization is expressed in the 2-norm and involves a
regularization operator designed to improve edge resolution as the outer
iterations progress, through an adaptive process. An efficient hybrid
regularization method is used to project the Tikhonov-regularized problem onto
approximation subspaces of increasing dimensions (inner iterations), while
conveniently choosing the regularization parameter (by applying well-known
techniques, such as the discrepancy principle or the ${\mathcal L}$-curve
criterion, to the projected problem). This procedure results in an automated
algorithm for edge recovery that does not involve regularization parameter
tuning by the user, nor repeated calls to sophisticated optimization
algorithms, and is therefore particularly attractive from a computational point
of view. A key to the success of the new algorithm is the design of the
regularization operator through the use of an adaptive diagonal weighting
matrix that effectively enforces smoothness only where needed. We demonstrate
the value of our approach on applications in X-ray CT image reconstruction and
in image deblurring, and show that it can be computationally much more
attractive than other well-known strategies for edge preservation, while
providing solutions of greater or equal quality.
| [
{
"created": "Mon, 30 Dec 2019 22:36:54 GMT",
"version": "v1"
}
] | 2020-12-30 | [
[
"Gazzola",
"Silvia",
""
],
[
"Kilmer",
"Misha E.",
""
],
[
"Nagy",
"James G.",
""
],
[
"Semerici",
"Oguz",
""
],
[
"Miller",
"Eric L.",
""
]
] | 19 | [
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