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08/01/2023
Divergence of the ADAM algorithm with fixed-stepsize: a (very) simple example
A very simple unidimensional function with Lipschitz continuous gradient...
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02/14/2023
Multilevel Objective-Function-Free Optimization with an Application to Neural Networks Training
A class of multi-level algorithms for unconstrained nonlinear optimizati...
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03/03/2022
Parametric complexity analysis for a class of first-order Adagrad-like algorithms
A class of algorithms for optimization in the presence of noise is prese...
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02/08/2019
Bernstein Concentration Inequalities for Tensors via Einstein Products
A generalization of the Bernstein matrix concentration inequality to ran...
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12/09/2018
A note on solving nonlinear optimization problems in variable precision
This short note considers an efficient variant of the trust-region algor...
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11/09/2018
Adaptive Regularization Algorithms with Inexact Evaluations for Nonconvex Optimization
A regularization algorithm using inexact function values and inexact der...
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11/09/2018
Deterministic and stochastic inexact regularization algorithms for nonconvex optimization with optimal complexity
A regularization algorithm using inexact function values and inexact der...
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11/09/2018
Deterministic and stochastic inexact regularization algorithms for nonconvex ptimization with optimal complexity
A regularization algorithm using inexact function values and inexact der...
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07/17/2018
Minimizing convex quadratic with variable precision Krylov methods
Iterative algorithms for the solution of convex quadratic optimization p...
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05/20/2017