Publications related to Impact of Sample Sizes on Information Theoretic Measures for Audio-Visual Signal Processing

MATHICSE Technical Report : Density estimation in RKHS with application to Korobov spaces in high dimensions

A kernel method for estimating a probability density function (pdf) from an i.i.d. sample drawn from such density is presented. Our estimator is a linear combination of kernel functions, the coefficients of which are determined by a linear equation. An err ...

MATHICSE2021

Generalization 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. ...

2021

Towards Interactions Through Differentiable-Non-Differentiable Scale Transitions In Scale Relativity Theory

Maria-Alexandra Paun

It is shown that, in the framework of Scale Relativity Theory, correlations of type informational entropy/cross entropy - probability density, in the description of the dynamics of any complex system, can be perceived as interactions. Explaining these inte ...

UNIV POLITEHNICA BUCHAREST, SCI BULL2021

A Comparison of optimal measurement-system design with engineering judgement for bridge load testing

Ian Smith, Numa Joy Bertola

Due to conservative approaches in construction design and practice, infrastructure often has hidden reserve capacity. When quantified, this reserve has potential to improve decisions related to asset management. Field measurements, collected through load t ...

2021

Locally Differentially-Private Randomized Response for Discrete Distribution Learning

Michael Christoph Gastpar, Adriano Pastore

We consider a setup in which confidential i.i.d. samples X1, . . . , Xn from an unknown finite-support distribution p are passed through n copies of a discrete privatization chan- nel (a.k.a. mechanism) producing outputs Y1, . . . , Yn. The channel law gua ...

2021

Experimental assessment of traffic density estimation at link and network level with sparse data

Nikolaos Geroliminis, Anna Takayasu

This paper investigates the accuracy of mean density estimation from direct sensing at link and network levels. Different calculation methods are compared depending on sensor type, probe vehicles or loop detectors, and availability to quantify the magnitud ...

TAYLOR & FRANCIS LTD2021

Tests of mutual independence among several random vectors using univariate and multivariate ranks of nearest neighbours

Soham Sarkar

Testing mutual independence among several random vectors of arbitrary dimensions is a challenging problem in Statistics, and it has gained considerable interest in recent years. In this article, we propose some nonparametric tests based on different notion ...

TAYLOR & FRANCIS LTD2021

Mutual information for low-rank even-order symmetric tensor estimation

Nicolas Macris, Jean François Emmanuel Barbier, Clément Dominique Luneau

We consider a statistical model for finite-rank symmetric tensor factorization and prove a single-letter variational expression for its asymptotic mutual information when the tensor is of even order. The proof applies the adaptive interpolation method orig ...

OXFORD UNIV PRESS2021

Mutual Information Disentangles Interactions from Changing Environments

Daniel Maria Busiello, Giorgio Nicoletti

Real-world systems are characterized by complex interactions of their internal degrees of freedom, while living in ever-changing environments whose net effect is to act as additional couplings. Here, we introduce a paradigmatic interacting model in a switc ...

AMER PHYSICAL SOC2021

Robust Generalization via $\alpha$-Mutual Information

Michael Christoph Gastpar, Amedeo Roberto Esposito, Ibrahim Issa

The aim of this work is to provide bounds connecting two probability measures of the same event using Rényi

\alpha

-Divergences and Sibson’s

\alpha

-Mutual Information, a generalization of respectively the Kullback-Leibler Divergence and Shannon’s Mutual ...

ETHZ2020

Impact of Sample Sizes on Information Theoretic Measures for Audio-Visual Signal Processing

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MATHICSE Technical Report : Density estimation in RKHS with application to Korobov spaces in high dimensions

Generalization Error Bounds Via Rényi-, f-Divergences and Maximal Leakage

Towards Interactions Through Differentiable-Non-Differentiable Scale Transitions In Scale Relativity Theory

A Comparison of optimal measurement-system design with engineering judgement for bridge load testing

Locally Differentially-Private Randomized Response for Discrete Distribution Learning

Experimental assessment of traffic density estimation at link and network level with sparse data

Tests of mutual independence among several random vectors using univariate and multivariate ranks of nearest neighbours

Mutual information for low-rank even-order symmetric tensor estimation

Mutual Information Disentangles Interactions from Changing Environments

Robust Generalization via $\alpha$-Mutual Information

A Comparison of optimal measurement-system design with engineering judgement for bridge load testing

Towards Interactions Through Differentiable-Non-Differentiable Scale Transitions In Scale Relativity Theory

MATHICSE Technical Report : Density estimation in RKHS with application to Korobov spaces in high dimensions

Generalization Error Bounds Via Rényi-, f-Divergences and Maximal Leakage

Experimental assessment of traffic density estimation at link and network level with sparse data

Tests of mutual independence among several random vectors using univariate and multivariate ranks of nearest neighbours

Mutual information for low-rank even-order symmetric tensor estimation

Mutual Information Disentangles Interactions from Changing Environments

Robust Generalization via $\alpha$-Mutual Information

Locally Differentially-Private Randomized Response for Discrete Distribution Learning