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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

Point d'inflexion

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Photothermal spectroscopy on-chip sensor for the measurement of a PMMA film using a silicon nitride micro-ring resonator and an external cavity quantum cascade laser

Dynamical system approach to navigation around obstacles

Divertor turbulent transport in the single null and snowflake in the TCV tokamak

Augmented Lagrangian Methods for Provable and Scalable Machine Learning

Model-based impurity emission front control using deuterium fueling and nitrogen seeding in TCV

Divertor detachment and reattachment with mixed impurity seeding on ASDEX Upgrade

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

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

Adaptive Stochastic Variance Reduction for Non-convex Finite-Sum Minimization

From SU(2)5 to SU(2)3 Wess-Zumino-Witten transitions in a frustrated spin-52 chain

Dynamical system approach to navigation around obstacles

Augmented Lagrangian Methods for Provable and Scalable Machine Learning

Model-based impurity emission front control using deuterium fueling and nitrogen seeding in TCV

Photothermal spectroscopy on-chip sensor for the measurement of a PMMA film using a silicon nitride micro-ring resonator and an external cavity quantum cascade laser

Divertor detachment and reattachment with mixed impurity seeding on ASDEX Upgrade

Divertor turbulent transport in the single null and snowflake in the TCV tokamak

Adaptive Stochastic Variance Reduction for Non-convex Finite-Sum Minimization

From SU(2)5 to SU(2)3 Wess-Zumino-Witten transitions in a frustrated spin-52 chain

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

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