Publications related to Total correlation

From Generalisation Error to Transportation-cost Inequalities and Back

Michael Christoph Gastpar, Amedeo Roberto Esposito

In this work, we connect the problem of bounding the expected generalisation error with transportation-cost inequalities. Exposing the underlying pattern behind both approaches we are able to generalise them and go beyond Kullback- Leibler Divergences/Mutu ...

2022

A Wasserstein-based measure of conditional dependence

Negar Kiyavash, Seyed Jalal Etesami, Kun Zhang

Measuring conditional dependencies among the variables of a network is of great interest to many disciplines. This paper studies some shortcomings of the existing dependency measures in detecting direct causal influences or their lack of ability for group ...

2022

Contextual Games: Multi-Agent Learning with Side Information

Maryam Kamgarpour, Andreas Krause, Ilija Bogunovic

We formulate the novel class of contextual games, a type of repeated games driven by contextual information at each round. By means of kernel-based regularity assumptions, we model the correlation between different contexts and game out- comes and propose ...

Curran Associates, Inc.2020

Extremal behaviour of aggregated data with an application to downscaling

Sebastian Engelke, Raphaël Gérard Théodore Michel Marie de Deloÿe et Fourcade de Fondeville

The distribution of spatially aggregated data from a stochastic process may exhibit tail behaviour different from that of its marginal distributions. For a large class of aggregating functionals we introduce the -extremal coefficient, which quantifies this ...

OXFORD UNIV PRESS2019

Computational Analysis of the Mutual Constraints between Single‐Cell Growth and Division Control Models

John McKinney, Neeraj Dhar, Ambroise Roger Vuaridel

Three models of division control are proposed to achieve cell size homeostasis: sizer, timer, and adder. However, few published studies of division control take into account the dynamics of single‐cell growth and most assume that single‐cell growth is expo ...

2019

Information-Theoretic Caching: Sequential Coding for Computing

Michael Christoph Gastpar, Sung Hoon Lim, Chien-Yi Wang

Under the paradigm of caching, partial data are delivered before the actual requests of users are known. In this paper, this problem is modeled as a canonical distributed source coding problem with side information, where the side information represents th ...

Institute of Electrical and Electronics Engineers2016

Information-Theoretic Caching

Michael Christoph Gastpar, Sung Hoon Lim, Chien-Yi Wang

Motivated by the caching problem introduced by Maddah-Ali and Niesen, a problem of distributed source coding with side information is formulated, which captures a distinct interesting aspect of caching. For the single-user case, a single-letter characteriz ...

2015

Reconstruction of Network Coded Sources From Incomplete Datasets

Pascal Frossard, Nikolaos Thomos, Eirina Bourtsoulatze

We investigate the problem of recovering source information from an incomplete set of network coded data with help of prior information about the sources. This problem naturally arises in wireless networks, where the number of network coded packets availab ...

Institute of Electrical and Electronics Engineers2015

Principal Polynomial Analysis

Devis Tuia

This paper presents a new framework for manifold learning based on a sequence of principal polynomials that capture the possibly nonlinear nature of the data. The proposed Principal Polynomial Analysis (PPA) generalizes PCA by modeling the directions of ma ...

World Scientific Publ Co Pte Ltd2014

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Total correlation

From Generalisation Error to Transportation-cost Inequalities and Back

A Wasserstein-based measure of conditional dependence

Contextual Games: Multi-Agent Learning with Side Information

Extremal behaviour of aggregated data with an application to downscaling

Computational Analysis of the Mutual Constraints between Single‐Cell Growth and Division Control Models

A Gaussian Source Coding Perspective on Caching and Total Correlation

Information-Theoretic Caching: Sequential Coding for Computing

Information-Theoretic Caching

Reconstruction of Network Coded Sources From Incomplete Datasets

Principal Polynomial Analysis

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Chat with Graph Search

A Gaussian Source Coding Perspective on Caching and Total Correlation

From Generalisation Error to Transportation-cost Inequalities and Back

Information-Theoretic Caching: Sequential Coding for Computing

Reconstruction of Network Coded Sources From Incomplete Datasets

Information-Theoretic Caching

Principal Polynomial Analysis

Computational Analysis of the Mutual Constraints between Single‐Cell Growth and Division Control Models

A Wasserstein-based measure of conditional dependence

Extremal behaviour of aggregated data with an application to downscaling

Contextual Games: Multi-Agent Learning with Side Information