Concept
Lebesgue integration
Related publications (59)
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As large, data-driven artificial intelligence models become ubiquitous, guaranteeing high data quality is imperative for constructing models. Crowdsourcing, community sensing, and data filtering have long been the standard approaches to guaranteeing or imp ...
EPFL2024A New Analytical Approximation of the Fluid Antenna System Channel
Fluid antenna systems (FAS) are an emerging technology that promises a significant diversity gain even in the smallest spaces. It consists of a freely moving antenna in a small linear space to pick up the strongest received signal. Previous works in the li ...
Piscataway2023ALMOST EVERYWHERE NONUNIQUENESS OF INTEGRAL CURVES FOR DIVERGENCE-FREE SOBOLEV VECTOR FIELDS
We construct divergence-free Sobolev vector fields in C([0,1];W-1,W-r(T-d;Rd)) with r < d and d\geq 2 which simultaneously admit any finite number of distinct positive solutions to the continuity equation. These vector fields are then shown to have at leas ...
Philadelphia2023A Functional Perspective on Information Measures
Since the birth of Information Theory, researchers have defined and exploited various information measures, as well as endowed them with operational meanings. Some were born as a "solution to a problem", like Shannon's Entropy and Mutual Information. Other ...
EPFL2022Understanding Deep Neural Function Approximation in Reinforcement Learning via ϵ-Greedy Exploration
Volkan Cevher, Fanghui Liu, Luca Viano
This paper provides a theoretical study of deep neural function approximation in reinforcement learning (RL) with the ϵ-greedy exploration under the online setting. This problem setting is motivated by the successful deep Q-networks (DQN) framework that fa ...
2022Semi-Discrete Optimal Transport: Hardness, Regularization and Numerical Solution
Daniel Kuhn, Soroosh Shafieezadeh Abadeh, Bahar Taskesen
Semi-discrete optimal transport problems, which evaluate the Wasserstein distance between a discrete and a generic (possibly non-discrete) probability measure, are believed to be computationally hard. Even though such problems are ubiquitous in statistics, ...
2021Sparse non-negative super-resolution - simplified and stabilised
We consider the problem of non-negative super-resolution, which concerns reconstructing a non-negative signal x = Sigma(k )(i=1)a(i)delta(ti) from m samples of its convolution with a window function phi(s - t), of the form y(s(j)) = Sigma(k)(i=1) a(i) phi( ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2021On the stress tensor light-ray operator algebra
Grégoire Olivier Mathys, Matthew Thomas Walters, Alexandre Mathieu Frédéric Belin
We study correlation functions involving generalized ANEC operators of the form integral dx-x-n+2T--x -> in four dimensions. We compute two, three, and ...
2021Numerical generation and contact analysis of rough surfaces in concrete
Guillaume Anciaux, Mohit Pundir
In concrete structures, opened cracks contribute significantly to the transfer of shear and normal stresses through the contact forces occurring between fractured surfaces. Such contact forces are due to protruding asperities, engaged by interlocking and f ...
2021