Publications related to Information Spectrum Converse for Minimum Entropy Couplings and Functional Representations

Intearcting Brownian Swarms: Some Analytical Results

Max-Olivier Hongler, Guillaume Adrien Sartoretti

We consider the dynamics of swarms of scalar Brownian agents subject to local imitation mechanisms implemented using mutual rank-based interactions. For appropriate values of the underlying control parameters, the swarm propagates tightly and the distances ...

MDPI AG2016

Accelerated Spectral Clustering Using Graph Filtering of Random Signals

Pierre Vandergheynst, Rémi Gribonval, Gilles Puy, Nicolas Tremblay

We build upon recent advances in graph signal processing to propose a faster spectral clustering algorithm. Indeed, classical spectral clustering is based on the computation of the first

k

eigenvectors of the similarity matrix' Laplacian, whose computati ...

Ieee2016

The Chaining Lemma and Its Application

Sebastian Faust

We present a new information-theoretic result which we call the Chaining Lemma. It considers a so-called "chain" of random variables, defined by a source distribution X-(0) with high min-entropy and a number (say, t in total) of arbitrary functions (T-1,.. ...

Springer-Verlag Berlin2015

Reconciling Factor Graph with User Feedback

Thành Tâm Nguyên

Factor graph is a representative graphical model to handle uncertainty of random variables. Factor graph has been used in various application domains such as named entity recognition, social network analysis, and credibility evaluation. In this paper, we s ...

2015

Adaptive polynomial approximation by means of random discrete least squares

Giovanni Migliorati

We address adaptive multivariate polynomial approximation by means of the discrete least-squares method with random evaluations, to approximate in the L2 probability sense a smooth function depending on a random variable distributed according to a given pr ...

Springer2015

Stochastic frequency reserve provision by chance-constrained control of commercial buildings

Maryam Kamgarpour, Xiuwei Zhang

Robust programs with modulated uncertainty sets are problems in which the uncertainty sets are treated as optimization variables. In many applications, these uncertainty sets can be interpreted as reserve capacities for which rewards are offered. One examp ...

IEEE2015

Solvation quantities from a COSMO-RS equation of state

Vassily Hatzimanikatis

This work focuses on the extension of the successful COSMO-RS model of mixtures into an equation-of-state model of fluids and its application for the estimation of solvation/hydration quantities of a variety of chemical substances. These quantities include ...

Elsevier2015

On the Continuity of Characteristic Functionals and Sparse Stochastic Modeling

Michaël Unser, Julien René Pierre Fageot, Arash Amini

The characteristic functional is the infinite-dimensional generalization of the Fourier transform for measures on function spaces. It characterizes the statistical law of the associated stochastic process in the same way as a characteristic function specif ...

Springer Birkhauser2014

A New Entropy Power Inequality for Integer-Valued Random Variables

Emmanuel Abbé, Saeid Haghighatshoar

The entropy power inequality (EPI) yields lower bounds on the differential entropy of the sum of two independent real-valued random variables in terms of the individual entropies. Versions of the EPI for discrete random variables have been obtained for spe ...

Institute of Electrical and Electronics Engineers2014

Perturbation analysis for the Darcy problem with log-normal permeability

Fabio Nobile, Francesca Bonizzoni

We study the single-phase flow in a saturated, bounded heterogeneous porous medium. We model the permeability as a log-normal random field. We perform a perturbation analysis, expanding the solution in Taylor series. The series is directly computable in th ...

2014

Information Spectrum Converse for Minimum Entropy Couplings and Functional Representations

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Intearcting Brownian Swarms: Some Analytical Results

Accelerated Spectral Clustering Using Graph Filtering of Random Signals

The Chaining Lemma and Its Application

Reconciling Factor Graph with User Feedback

Adaptive polynomial approximation by means of random discrete least squares

Stochastic frequency reserve provision by chance-constrained control of commercial buildings

Solvation quantities from a COSMO-RS equation of state

On the Continuity of Characteristic Functionals and Sparse Stochastic Modeling

A New Entropy Power Inequality for Integer-Valued Random Variables

Perturbation analysis for the Darcy problem with log-normal permeability

The Chaining Lemma and Its Application

Adaptive polynomial approximation by means of random discrete least squares

A New Entropy Power Inequality for Integer-Valued Random Variables

Accelerated Spectral Clustering Using Graph Filtering of Random Signals

On the Continuity of Characteristic Functionals and Sparse Stochastic Modeling

Reconciling Factor Graph with User Feedback

Solvation quantities from a COSMO-RS equation of state

Perturbation analysis for the Darcy problem with log-normal permeability

Intearcting Brownian Swarms: Some Analytical Results

Stochastic frequency reserve provision by chance-constrained control of commercial buildings