Publications associées à Separation and Duality in Locally L0-Convex Modules

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Moments of the number of points in a bounded set for number field lattices

Maryna Viazovska, Nihar Prakash Gargava, Vlad Serban

We examine the moments of the number of lattice points in a fixed ball of volume

V

for lattices in Euclidean space which are modules over the ring of integers of a number field

K

. In particular, denoting by

ω_K

the number of roots of unity in

K

, we ...

arXiv2023

Separation and Duality in Locally L0-Convex Modules

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Correspondence functors and duality

Information Spectrum Converse for Minimum Entropy Couplings and Functional Representations

Moments of the number of points in a bounded set for number field lattices

Localizing Unsynchronized Sensors With Unknown Sources

A Functional Perspective on Information Measures

Stochastic distributed learning with gradient quantization and double-variance reduction

Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity

Learning to Generate the Unknowns as a Remedy to the Open-Set Domain Shift

Adaptive Stochastic Variance Reduction for Non-convex Finite-Sum Minimization

Feedback and Common Information: Bounds and Capacity for Gaussian Networks

Moments of the number of points in a bounded set for number field lattices

Information Spectrum Converse for Minimum Entropy Couplings and Functional Representations

A Functional Perspective on Information Measures

Correspondence functors and duality

Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity

Localizing Unsynchronized Sensors With Unknown Sources

Learning to Generate the Unknowns as a Remedy to the Open-Set Domain Shift

Feedback and Common Information: Bounds and Capacity for Gaussian Networks

Stochastic distributed learning with gradient quantization and double-variance reduction

Adaptive Stochastic Variance Reduction for Non-convex Finite-Sum Minimization