Search Results for author: Stefano Spigler

Found 7 papers, 2 papers with code

How isotropic kernels perform on simple invariants

no code implementations17 Jun 2020 Jonas Paccolat, Stefano Spigler, Matthieu Wyart

(ii) Next we consider support-vector binary classification and introduce the stripe model where the data label depends on a single coordinate $y(\underline{x}) = y(x_1)$, corresponding to parallel decision boundaries separating labels of different signs, and consider that there is no margin at these interfaces.

Binary Classification regression

Disentangling feature and lazy training in deep neural networks

no code implementations19 Jun 2019 Mario Geiger, Stefano Spigler, Arthur Jacot, Matthieu Wyart

Two distinct limits for deep learning have been derived as the network width $h\rightarrow \infty$, depending on how the weights of the last layer scale with $h$.

Asymptotic learning curves of kernel methods: empirical data v.s. Teacher-Student paradigm

no code implementations26 May 2019 Stefano Spigler, Mario Geiger, Matthieu Wyart

We extract $a$ from real data by performing kernel PCA, leading to $\beta\approx0. 36$ for MNIST and $\beta\approx0. 07$ for CIFAR10, in good agreement with observations.

regression

A jamming transition from under- to over-parametrization affects loss landscape and generalization

no code implementations22 Oct 2018 Stefano Spigler, Mario Geiger, Stéphane d'Ascoli, Levent Sagun, Giulio Biroli, Matthieu Wyart

We argue that in fully-connected networks a phase transition delimits the over- and under-parametrized regimes where fitting can or cannot be achieved.

Comparing Dynamics: Deep Neural Networks versus Glassy Systems

no code implementations ICML 2018 Marco Baity-Jesi, Levent Sagun, Mario Geiger, Stefano Spigler, Gerard Ben Arous, Chiara Cammarota, Yann Lecun, Matthieu Wyart, Giulio Biroli

We analyze numerically the training dynamics of deep neural networks (DNN) by using methods developed in statistical physics of glassy systems.

Cannot find the paper you are looking for? You can Submit a new open access paper.