Concentration of Equilibria and Relative Instability in Disordered
Non-Relaxational Dynamics
December 21, 2022
Mathematics
Probability
We consider a system of random autonomous ODEs introduced by Cugliandolo et
al. [22], which serves as a non-relaxational analog of the gradient flow for
the spherical p-spin model. The asymptotics for the expected number of
equilibria in th...
On J-folded alcove paths and combinatorial representations of affine
Hecke algebras
December 21, 2022
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Mathematics
Representation Theory
We introduce the combinatorial model of J-folded alcove paths in an affine
Weyl group and construct representations of affine Hecke algebras using this
model. We study boundedness of these representations, and we state conjectures
linking...
The generalized fractional KdV equation in weighted Sobolev spaces
December 21, 2022
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Mathematics
Analysis of PDEs
This work concerns the study of persistence property in polynomial weighted
spaces for solutions of the generalized fractional KdV equation in any spatial
dimension d≥1. By establishing well-posedness results in conjunction with
some ...
Fiber sum formulas for 4-manifolds, topological modular forms and 6dN=(1,0) theories
December 21, 2022
Physics
Mathematics
Mathematical Physics
High Energy Physics - Theory
Geometric Topology
Mathematical Physics
Using the relation between four manifolds and topological modular form (TMF)
from the six dimensional approach, we exhibit fiber sum formulas for infinite
families of smooth spin four manifolds associated to compactifications of free
and in...
An effective open image theorem for products of principally polarized
abelian varieties
December 21, 2022
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Mathematics
Number Theory
Let A=∏1≤i≤nAi be the product of principally polarized
abelian varieties A1,…,An of dimensions g1,…,gn,
respectively, each defined over a number field K, and pairwise nonisogenous
over $\overline...
Continual Learning Approaches for Anomaly Detection
December 21, 2022
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Computer Science
Computer Vision and Pattern Recognition
Anomaly Detection is a relevant problem that arises in numerous real-world
applications, especially when dealing with images. However, there has been
little research for this task in the Continual Learning setting. In this work,
we introduc...
Improved Field Size Bounds for Higher Order MDS Codes
December 21, 2022
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Computer Science
Mathematics
Information Theory
Information Theory
Information Theory
Information Theory
Higher order MDS codes are an interesting generalization of MDS codes
recently introduced by Brakensiek, Gopi and Makam (IEEE Trans. Inf. Theory
2022). In later works, they were shown to be intimately connected to optimally
list-decodable c...
An Elementary Proof of the FMP for Kleene Algebra
December 21, 2022
Computer Science
Formal Languages and Automata Theory
Logic in Computer Science
Kleene Algebra (KA) is a useful tool for proving that two programs are
equivalent. Because KA's equational theory is decidable, it integrates well
with interactive theorem provers. This raises the question: which equations can
we (not) prov...
Changing the properties of Hf0.5Zr0.5O2 during cyclic
repolarization of ferroelectric capacitors with different electrode materials
December 21, 2022
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Physics
Materials Science
Applied Physics
Materials Science
Applied Physics
The interest in the ferroelectric non-volatile memory as a candidate for low
power consumption electronic memories was raised after the discovery of
ferroelectricity in hafnium oxide. Doping by different elements of hafnia films
allows impr...
UNIKD: UNcertainty-filtered Incremental Knowledge Distillation for
Neural Implicit Representation
December 21, 2022
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Computer Science
Computer Vision and Pattern Recognition
Recent neural implicit representations (NIRs) have achieved great success in
the tasks of 3D reconstruction and novel view synthesis. However, they require
the images of a scene from different camera views to be available for one-time
train...