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20222026
most citedComplexity of a Class of First-Order Objective-Function-Free Optimization Algorithms

2 citations · 3 across the 12 of their papers we have counts for

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cs.AI2026

Stochastic convergence of parallel asynchronous adaptive first-order methods

Serge Gratton, Philippe L. Toint

A new class of asynchronous adaptive first-order optimization methods is introduced, comprising asynchronous variants of several popular algorithms. Versions of these methods using…

cs.LG2026

A unified convergence theory for adaptive first-order methods in the nonconvex case, including AdaNorm, full and diagonal AdaGrad and Muon

S. Gratton, Ph. L. Toint

A unified framework for first-order optimization algorithms fornonconvex unconstrained optimization is proposed that uses adaptivelypreconditioned gradients and includes popular me…

math.OC2026

An objective-function-free algorithm for nonconvex stochastic optimization with deterministic equality and inequality constraints

S. Gratton, Ph. L. Toint

An algorithm is proposed for solving optimization problems with stochastic objective and deterministic equality and inequality constraints. This algorithm is objective-function-fre…

math.OC2026

An objective-function-free algorithm for general smooth constrained optimization

S. Bellavia, S. Gratton, B. Morini +1

A new algorithm for smooth constrained optimization is proposed that never computes the value of the problem's objective function and that handles both equality and inequality cons…

math.OC2026

Iteration complexity of the Difference-of-Convex Algorithm for unconstrained optimization: a simple proof

Serge Gratton, Philippe L. Toint

We propose a simple proof of the worst-case iteration complexity for the Difference of Convex functions Algorithm (DCA) for unconstrained minimization, showing that the global rate…