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math.OC2024

A randomisation method for mean-field control problems with common noise

Robert Denkert, Idris Kharroubi, Huyên Pham

We study mean-field control (MFC) problems with common noise using the control randomisation framework, where we substitute the control process with an independent Poisson point pr…

stat.ME2024

The Deep Latent Position Block Model For The Block Clustering And Latent Representation Of Networks

Rémi Boutin, Pierre Latouche, Charles Bouveyron

The increased quantity of data has led to a soaring use of networks to model relationships between different objects, represented as nodes. Since the number of nodes can be particu…

math.DS2024

Hyperbolic absolutely continuous invariant measures for C^r one-dimensional maps

Alexandre Delplanque

For r > 1, we show, using the Ledrappier-Young entropy characterization of SRB measures for non-invertible maps, that if a C^r map f of the interval or the circle has its Lyapunov…

stat.CO2024

Change-point detection in regression models for ordered data via the max-EM algorithm

Modibo Diabaté, Grégory Nuel, Olivier Bouaziz

We consider the problem of breakpoint detection in a regression modeling framework. To that end, we introduce a novel method, the max-EM algorithm which combines a constrained Hidd…

math.ST2024

An analysis of the noise schedule for score-based generative models

Stanislas Strasman, Antonio Ocello, Claire Boyer +2

Score-based generative models (SGMs) aim at estimating a target data distribution by learning score functions using only noise-perturbed samples from the target.Recent literature h…