activity
20162026
most citedForward-backward quasi-Newton methods for nonsmooth optimization problems

125 citations · 684 across the 34 of their papers we have counts for

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Showing 2021Show all

5 papers · 1 filter

math.OC2021★ 21 cited

Proximal Gradient Algorithms under Local Lipschitz Gradient Continuity: A Convergence and Robustness Analysis of PANOC

Alberto De Marchi, Andreas Themelis

Composite optimization offers a powerful modeling tool for a variety of applications and is often numerically solved by means of proximal gradient methods. In this paper, we consid…

math.OC2021★ 2 cited

Dualities for non-Euclidean smoothness and strong convexity under the light of generalized conjugacy

Emanuel Laude, Andreas Themelis, Panagiotis Patrinos

Relative smoothness and strong convexity have recently gained considerable attention in optimization. These notions are generalizations of the classical Euclidean notions of smooth…

math.OC2021★ 6 cited

Neural Network Training as an Optimal Control Problem: An Augmented Lagrangian Approach

Brecht Evens, Puya Latafat, Andreas Themelis +2

Training of neural networks amounts to nonconvex optimization problems that are typically solved by using backpropagation and (variants of) stochastic gradient descent. In this wor…

math.OC2021★ 4 cited

Lasry-Lions Envelopes and Nonconvex Optimization: A Homotopy Approach

Miguel Simões, Andreas Themelis, Panagiotis Patrinos

In large-scale optimization, the presence of nonsmooth and nonconvex terms in a given problem typically makes it hard to solve. A popular approach to address nonsmooth terms in con…

math.OC2021★ 12 cited

Bregman Finito/MISO for nonconvex regularized finite sum minimization without Lipschitz gradient continuity

Puya Latafat, Andreas Themelis, Masoud Ahookhosh +1

We introduce two algorithms for nonconvex regularized finite sum minimization, where typical Lipschitz differentiability assumptions are relaxed to the notion of relative smoothnes…