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20232026
most citedAn SDE Perspective on Stochastic Inertial Gradient Dynamics with Time-Dependent Viscosity and Geometric Damping

1 citations · 1 across the 9 of their papers we have counts for

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math.OC2024

Global non-asymptotic super-linear convergence rates of regularized proximal quasi-Newton methods on non-smooth composite problems

Shida Wang, Jalal Fadili, Peter Ochs

In this paper, we propose two regularized proximal quasi-Newton methods with symmetric rank-1 update of the metric (SR1 quasi-Newton) to solve non-smooth convex additive composite…

math.OC2024

Inertial Methods with Viscous and Hessian driven Damping for Non-Convex Optimization

Rodrigo Maulen-Soto, Jalal Fadili, Peter Ochs

In this paper, we aim to study non-convex minimization problems via second-order (in-time) dynamics, including a non-vanishing viscous damping and a geometric Hessian-driven dampin…

math.OC2024★ 1 cited

An SDE Perspective on Stochastic Inertial Gradient Dynamics with Time-Dependent Viscosity and Geometric Damping

Rodrigo Maulen-Soto, Jalal Fadili, Hedy Attouch +1

Our approach is part of the close link between continuous dissipative dynamical systems and optimization algorithms. We aim to solve convex minimization problems by means of stocha…

cs.LG2024

From Learning to Optimize to Learning Optimization Algorithms

Camille Castera, Peter Ochs

Towards designing learned optimization algorithms that are usable beyond their training setting, we identify key principles that classical algorithms obey, but have up to now, not…

cs.LG2024

Learning-to-Optimize with PAC-Bayesian Guarantees: Theoretical Considerations and Practical Implementation

Michael Sucker, Jalal Fadili, Peter Ochs

We use the PAC-Bayesian theory for the setting of learning-to-optimize. To the best of our knowledge, we present the first framework to learn optimization algorithms with provable…

math.OC2024

Stochastic Inertial Dynamics Via Time Scaling and Averaging

Rodrigo Maulen-Soto, Jalal Fadili, Hedy Attouch +1

Our work is part of the close link between continuous-time dissipative dynamical systems and optimization algorithms, and more precisely here, in the stochastic setting. We aim to…