Search Results for author: David Belius

Found 4 papers, 2 papers with code

Characterizing Overfitting in Kernel Ridgeless Regression Through the Eigenspectrum

no code implementations2 Feb 2024 Tin Sum Cheng, Aurelien Lucchi, Anastasis Kratsios, David Belius

We derive new bounds for the condition number of kernel matrices, which we then use to enhance existing non-asymptotic test error bounds for kernel ridgeless regression in the over-parameterized regime for a fixed input dimension.

regression

Injectivity of ReLU networks: perspectives from statistical physics

1 code implementation27 Feb 2023 Antoine Maillard, Afonso S. Bandeira, David Belius, Ivan Dokmanić, Shuta Nakajima

Recent work connects this problem to spherical integral geometry giving rise to a conjectured sharp injectivity threshold for $\alpha = \frac{m}{n}$ by studying the expected Euler characteristic of a certain random set.

On the Empirical Neural Tangent Kernel of Standard Finite-Width Convolutional Neural Network Architectures

no code implementations24 Jun 2020 Maxim Samarin, Volker Roth, David Belius

The Neural Tangent Kernel (NTK) is an important milestone in the ongoing effort to build a theory for deep learning.

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