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19942026
most citedTraining Schrödinger's cat: quantum optimal control

779 citations

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math.OC2025

Optimal Finsler-Hadwiger inequalities

Beniamin Bogosel

Various inequalities exist between the area of a triangle, the perimeter squared and the isoperimetric deficit . The direct and reverse Finsl…

math.OC2025

Wavelet-Based Multiscale Flow For Realistic Image Deformation in the Large Diffeomorphic Deformation Model Framework

Fleur Gaudfernau, Eléonore Blondiaux, Stéphanie Allassonnière +1

Estimating accurate high-dimensional transformations remains very challenging, especially in a clinical setting. In this paper, we introduce a multiscale parameterization of deform…

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…

math.OC2024

Optimal control under unknown intensity with Bayesian learning

Nicolas Baradel, Quentin Cormier

We investigate an optimal control problem motivated by neuroscience, where the dynamics is driven by a Poisson process with a controlled stochastic intensity and an unknown paramet…

math.OC2024

Unified Breakdown Analysis for Byzantine Robust Gossip

Renaud Gaucher, Aymeric Dieuleveut, Hadrien Hendrikx

In decentralized machine learning, different devices communicate in a peer-to-peer manner to collaboratively learn from each other's data. Such approaches are vulnerable to misbeha…

math.OC2024

Irreducibility of nonsmooth state-space models with an application to CMA-ES

Armand Gissler, Shan-Conrad Wolf, Anne Auger +1

We analyze a stochastic process resulting from the normalization of states in the zeroth-order optimization method CMA-ES. On a specific class of minimization problems where the ob…