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From the 1 of 10 linked papers with an AI index.

most citedAn Inexact Modified Quasi-Newton Method for Nonsmooth Regularized Optimization

1 citations · 1 across the 3 of their papers we have counts for

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10 papers

math.OC20261 cited

An Inexact Modified Quasi-Newton Method for Nonsmooth Regularized Optimization

Nathan Allaire, Sébastien Le Digabel, Dominique Orban

The paper proposes iR2N, a modified proximal quasi‑Newton algorithm that handles nonsmooth regularized problems with inexact evaluations of the smooth part and proximal operators,…

math.OC2026

Parallel versions of the mesh adaptive direct search algorithm

Sébastien Le Digabel, Antoine Lesage-Landry, Samuel Mendoza +1

This work surveys the different parallel variants of the mesh adaptive direct search (MADS) algorithm for constrained blackbox optimization. These problems can inherently imply hig…

math.OC2026

Adaptive direct search algorithms with relaxable and quantifiable constraints

Charles Audet, Théo Denorme, Youssef Diouane +2

This work introduces ADS-PB, an extension of the Adaptive Direct Search (ADS) framework for solving constrained blackbox optimization problems. With ADS, iterates progress without…

math.OC2026

Surrogate-based categorical neighborhoods for mixed-variable blackbox optimization

Charles Audet, Youssef Diouane, Edward Hallé-Hannan +2

In simulation-based engineering, design choices are often obtained following the optimization of complex blackbox models. These models frequently involve mixed-variable domains wit…

math.OC2026

A penalty-interior point method combined with MADS for equality and inequality constrained optimization

Charles Audet, Andrea Brilli, Youssef Diouane +3

This work introduces MADS-PIP, an efficient framework that integrates a penalty-interior point strategy into the mesh adaptive direct search (MADS) algorithm for solving nonsmooth…

math.OC2026

Multi-fidelity constraints in blackbox optimization

Stéphane Alarie, Charles Audet, Miguel Diago +2

This work studies constrained blackbox optimization problems that cannot be solved in reasonable time due to prohibitive computational costs. This challenge is especially prevalent…