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Stochastic Second-Order Methods Improve Best-Known Sample Complexity of SGD for Gradient-Dominated Function

Patrick Thiran, Negar Kiyavash, Saber Salehkaleybar

We study the performance of Stochastic Cubic Regularized Newton (SCRN) on a class of functions satisfying gradient dominance property with

1\le\alpha\le2

which holds in a wide range of applications in machine learning and signal processing. This conditio ...

NeurIPS2022

Test de la dérivée première

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IMPROVED REGULARITY OF SECOND DERIVATIVES FOR SUBHARMONIC FUNCTIONS

Augmented Lagrangian Methods for Provable and Scalable Machine Learning

Structural impact of the start-up sequence on Pelton turbines lifetime: Analytical prediction and polynomial optimization

Extension, validation, and optimization of Serpent/DYN3D/ATHLET code system for SFR applications

Stochastic derivative estimation for max-stable random fields

Learning of Continuous and Piecewise-Linear Functions With Hessian Total-Variation Regularization

Stochastic Second-Order Methods Improve Best-Known Sample Complexity of SGD for Gradient-Dominated Function

Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy

Polarity Of Almost All Points For Systems Of Nonlinear Stochastic Heat Equations In The Critical Dimension

Distributed Learning in Non-Convex Environments-Part II: Polynomial Escape From Saddle-Points

Learning of Continuous and Piecewise-Linear Functions With Hessian Total-Variation Regularization

Augmented Lagrangian Methods for Provable and Scalable Machine Learning

Polarity Of Almost All Points For Systems Of Nonlinear Stochastic Heat Equations In The Critical Dimension

IMPROVED REGULARITY OF SECOND DERIVATIVES FOR SUBHARMONIC FUNCTIONS

Stochastic derivative estimation for max-stable random fields

Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy

Extension, validation, and optimization of Serpent/DYN3D/ATHLET code system for SFR applications

Stochastic Second-Order Methods Improve Best-Known Sample Complexity of SGD for Gradient-Dominated Function

Distributed Learning in Non-Convex Environments-Part II: Polynomial Escape From Saddle-Points

Structural impact of the start-up sequence on Pelton turbines lifetime: Analytical prediction and polynomial optimization