Search Results for author: Benjamin Dupuis

Found 5 papers, 2 papers with code

Generalization Bounds for Heavy-Tailed SDEs through the Fractional Fokker-Planck Equation

no code implementations12 Feb 2024 Benjamin Dupuis, Umut Şimşekli

Understanding the generalization properties of heavy-tailed stochastic optimization algorithms has attracted increasing attention over the past years.

Generalization Bounds Stochastic Optimization

From Mutual Information to Expected Dynamics: New Generalization Bounds for Heavy-Tailed SGD

no code implementations1 Dec 2023 Benjamin Dupuis, Paul Viallard

This has been successfully applied to generalization theory by exploiting the fractal properties of those dynamics.

Generalization Bounds

Generalization Bounds with Data-dependent Fractal Dimensions

1 code implementation6 Feb 2023 Benjamin Dupuis, George Deligiannidis, Umut Şimşekli

To achieve this goal, we build up on a classical covering argument in learning theory and introduce a data-dependent fractal dimension.

Generalization Bounds Learning Theory +1

DNN-Based Topology Optimisation: Spatial Invariance and Neural Tangent Kernel

1 code implementation NeurIPS 2021 Benjamin Dupuis, Arthur Jacot

We study the Solid Isotropic Material Penalisation (SIMP) method with a density field generated by a fully-connected neural network, taking the coordinates as inputs.

Translation

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