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20232026
most citedDistributionally Time-Varying Online Stochastic Optimization under Polyak-Łojasiewicz Condition with Application in Conditional Value-at-Risk Statistical Learning

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math.OC2026

Online Sketched Newton-Raphson

Jean-Luc Lupien, Yuen-Man Pun, Youssef Diouane +2

In online convex optimization (OCO), a decision-maker is confronted with an unknown environment and seeks to play an optimal sequence of decisions on a short time-scale using only…

math.OC2026

On the Stability Connection Between Discrete-Time Algorithms and Their Resolution ODEs: Applications to Min-Max Optimisation

Amir Ali Farzin, Yuen-Man Pun, Philipp Braun +1

This work establishes a rigorous connection between stability properties of discrete-time algorithms (DTAs) and corresponding continuous-time dynamical systems derived through $ O(…

math.OC2026

Solving the Offline and Online Min-Max Problem of Non-smooth Submodular-Concave Functions: A Zeroth-Order Approach

Amir Ali Farzin, Yuen-Man Pun, Philipp Braun +2

We consider max-min and min-max problems with objective functions that are possibly non-smooth, submodular with respect to the minimiser and concave with respect to the maximiser.…

math.OC2025

Minimisation of Submodular Functions Using Gaussian Zeroth-Order Random Oracles

Amir Ali Farzin, Yuen-Man Pun, Philipp Braun +2

We consider the minimisation problem of submodular functions and investigate the application of a zeroth-order method to this problem. The method is based on exploiting a Gaussian…

math.OC2025

Minimisation of Quasar-Convex Functions Using Random Zeroth-Order Oracles

Amir Ali Farzin, Yuen-Man Pun, Philipp Braun +1

This paper explores the performance of a random Gaussian smoothing zeroth-order (ZO) scheme for minimising quasar-convex (QC) and strongly quasar-convex (SQC) functions in both unc…

math.OC2025

Properties of Fixed Points of Generalised Extra Gradient Methods Applied to Min-Max Problems

Amir Ali Farzin, Yuen-Man Pun, Philipp Braun +1

This paper studies properties of fixed points of generalised Extra-gradient (GEG) algorithms applied to min-max problems. We discuss connections between saddle points of the object…