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20002026
most citedInformation theory explanation of the fluctuation theorem, maximum entropy production and self-organized criticality in non-equilibrium stationary states

479 citations

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17 papers · 1 filter

math.ST2019★ 2 cited

Quick inference for log Gaussian Cox processes with non-stationary underlying random fields

Jiří Dvořák, Jesper Møller, Tomáš Mrkvička +1

For point patterns observed in natura, spatial heterogeneity is more the rule than the exception. In numerous applications, this can be mathematically handled by the flexible class…

math.ST2019★ 2 cited

Adjacency-constrained hierarchical clustering of a band similarity matrix with application to Genomics

Christophe Ambroise, Alia Dehman, Pierre Neuvial +2

Motivation: Genomic data analyses such as Genome-Wide Association Studies (GWAS) or Hi-C studies are often faced with the problem of partitioning chromosomes into successive region…

math.ST2018

Exponential inequality for chaos based on sampling without replacement

P Hodara, Patricia Reynaud-Bouret

We are interested in the behavior of particular functionals, in a framework where the only source of randomness is a sampling without replacement. More precisely the aim of this sh…

math.ST2018★ 1 cited

Partial recovery bounds for clustering with the relaxed means

Christophe Giraud, Nicolas Verzelen

We investigate the clustering performances of the relaxed means in the setting of sub-Gaussian Mixture Model (sGMM) and Stochastic Block Model (SBM). After identifying the appro…

math.ST2017★ 75 cited

Clustering transformed compositional data using K-means, with applications in gene expression and bicycle sharing system data

Antoine Godichon-Baggioni, Cathy Maugis-Rabusseau, Andrea Rau

Although there is no shortage of clustering algorithms proposed in the literature, the question of the most relevant strategy for clustering compositional data (i.e., data made up…

math.ST2016★ 9 cited

Estimation of a discrete probability under constraint of k-monotony

Jade Giguelay

We propose two least-squares estimators of a discrete probability under the constraint of k-monotony and study their statistical properties. We give a characterization of these est…