Publication
Information Spectrum Converse for Minimum Entropy Couplings and Functional Representations
Related publications (89)
Sensitivity to user mischaracterizations in electric vehicle charging
In this paper, we consider electric vehicle charging facilities that offer various levels of service, i.e., charging rates, for varying prices such that rational users choose a level of service that minimizes the total cost to themselves including an oppor ...
ELSEVIER2023A 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 ...
EPFL2022Statistical limits of dictionary learning: Random matrix theory and the spectral replica method
Nicolas Macris, Jean François Emmanuel Barbier
We consider increasingly complex models of matrix denoising and dictionary learning in the Bayes-optimal setting, in the challenging regime where the matrices to infer have a rank growing linearly with the system size. This is in contrast with most existin ...
AMER PHYSICAL SOC2022Dynamical low rank approximation for uncertainty quantification of time-dependent problems
The quantification of uncertainties can be particularly challenging for problems requiring long-time integration as the structure of the random solution might considerably change over time. In this respect, dynamical low-rank approximation (DLRA) is very a ...
EPFL2022Generalization Error Bounds Via Rényi-, f-Divergences and Maximal Leakage
Michael Christoph Gastpar, Amedeo Roberto Esposito, Ibrahim Issa
In this work, the probability of an event under some joint distribution is bounded by measuring it with the product of the marginals instead (which is typically easier to analyze) together with a measure of the dependence between the two random variables. ...
2021Common Information Components Analysis
Michael Christoph Gastpar, Erixhen Sula
Wyner's common information is a measure that quantifies and assesses the commonality between two random variables. Based on this, we introduce a novel two-step procedure to construct features from data, referred to as Common Information Components Analysis ...
MDPI2021Feedback and Common Information: Bounds and Capacity for Gaussian Networks
Network information theory studies the communication of information in a network and considers its fundamental limits. Motivating from the extensive presence of the networks in the daily life, the thesis studies the fundamental limits of particular network ...
EPFL2021A hybrid collocation-perturbation approach for PDEs with random domains
Consider a linear elliptic PDE defined over a stochastic stochastic geometry a function of N random variables. In many application, quantify the uncertainty propagated to a quantity of interest (QoI) is an important problem. The random domain is split into ...
2021Secrecy by Design With Applications to Privacy and Compression
Secrecy by design is examined as an approach to information-theoretic secrecy. The main idea behind this approach is to design an information processing system from the ground up to be perfectly secure with respect to an explicit secrecy constraint. The pr ...
2021Distributional Robustness in Mechanism Design
Mechanism design theory examines the design of allocation mechanisms or incentive systems involving multiple rational but self-interested agents and plays a central role in many societally important problems in economics. In mechanism design problems, agen ...
EPFL2020