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20242026
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math.OC2026

Effectively Leveraging Momentum Terms in Stochastic Line Search Frameworks for Fast Optimization of Finite-Sum Problems

Matteo Lapucci, Davide Pucci

In this work, we address unconstrained finite-sum optimization problems, with particular focus on instances originating in large scale deep learning scenarios. Our main interest li…

math.OC2025

Projection-based curve pattern search for black-box optimization over smooth convex sets

Xiaoxi Jia, Matteo Lapucci, Pierluigi Mansueto

In this paper, we deal with the problem of optimizing a black-box smooth function over a full-dimensional smooth convex set. We study sets of feasible curves that allow to properly…

math.OC2025

Effective Front-Descent Algorithms with Convergence Guarantees

Matteo Lapucci, Pierluigi Mansueto, Davide Pucci

In this manuscript, we address continuous unconstrained multi-objective optimization problems and we discuss descent type methods for the reconstruction of the Pareto set. Specific…

math.OC2025

On the Computation of the Efficient Frontier in Advanced Sparse Portfolio Optimization

Arturo Annunziata, Matteo Lapucci, Pieluigi Mansueto +1

In this work, we deal with the problem of computing a comprehensive front of efficient solutions in multi-objective portfolio optimization problems in presence of sparsity constrai…

math.OC2025

Convergence Conditions for Stochastic Line Search Based Optimization of Over-parametrized Models

Matteo Lapucci, Davide Pucci

In this paper, we deal with algorithms to solve the finite-sum problems related to fitting over-parametrized models, that typically satisfy the interpolation condition. In particul…

math.OC2025

Efficient globalization of heavy-ball type methods for unconstrained optimization based on curve searches

Federica Donnini, Matteo Lapucci, Pierluigi Mansueto

In this work, we deal with unconstrained nonlinear optimization problems. Specifically, we are interested in methods carrying out updates possibly along directions not of descent,…