Publications related to An Information Theoretic Approach to Speaker Diarization of Meeting Recordings

Lower-bounds on the Bayesian Risk in Estimation Procedures via f–Divergences

Michael Christoph Gastpar, Adrien Vandenbroucque, Amedeo Roberto Esposito

We consider the problem of parameter estimation in a Bayesian setting and propose a general lower-bound that includes part of the family of f-Divergences. The results are then applied to specific settings of interest and compared to other notable results i ...

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

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

FANOK: Knockoffs in Linear Time

Quentin Rebjock

We describe a series of algorithms that efficiently implement Gaussian model-X knockoffs to control the false discovery rate on large-scale feature selection problems. Identifying the knockoff distribution requires solving a large-scale semidefinite progra ...

SIAM PUBLICATIONS2021

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

Computation Of A 30750-Bit Binary Field Discrete Logarithm

Arjen Lenstra, Robert Granger, Thorsten Kleinjung, Benjamin Pierre Charles Wesolowski

This paper reports on the computation of a discrete logarithm in the finite field F-230750, breaking by a large margin the previous record, which was set in January 2014 by a computation in F-29234. The present computation made essential use of the elimina ...

AMER MATHEMATICAL SOC2021

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 f−Mutual Information

Michael Christoph Gastpar, Amedeo Roberto Esposito, Ibrahim Issa

Given two probability measures P and Q and an event E, we provide bounds on P(E) in terms of Q(E) and f-divergences. In particular, the bounds are instantiated when the measures considered are a joint distribution and the corresponding product of marginals ...

IEEE2020

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

Soliton states of micro -resonator for reconfigurable microwave photonic filters

Camille Sophie Brès

We propose radiofrequency filters using solitons generated from Si3N4 microresonators. By leveraging inherent diverse solitons states, we show filter tunability achieved without the need for external pulse shaping, establishing an essential step towards re ...

IEEE2020

An Information Theoretic Approach to Speaker Diarization of Meeting Recordings

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Lower-bounds on the Bayesian Risk in Estimation Procedures via f–Divergences

A Wasserstein-based measure of conditional dependence

From Generalisation Error to Transportation-cost Inequalities and Back

FANOK: Knockoffs in Linear Time

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

Computation Of A 30750-Bit Binary Field Discrete Logarithm

Mutual Information Disentangles Interactions from Changing Environments

Robust Generalization via f−Mutual Information

Robust Generalization via $\alpha$-Mutual Information

Soliton states of micro -resonator for reconfigurable microwave photonic filters

FANOK: Knockoffs in Linear Time

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

A Wasserstein-based measure of conditional dependence

Lower-bounds on the Bayesian Risk in Estimation Procedures via f–Divergences

From Generalisation Error to Transportation-cost Inequalities and Back

Computation Of A 30750-Bit Binary Field Discrete Logarithm

Mutual Information Disentangles Interactions from Changing Environments

Robust Generalization via f−Mutual Information

Soliton states of micro -resonator for reconfigurable microwave photonic filters

Robust Generalization via $\alpha$-Mutual Information