Search Results for author: Jonas Paccolat

Found 2 papers, 1 papers with code

Geometric compression of invariant manifolds in neural nets

1 code implementation22 Jul 2020 Jonas Paccolat, Leonardo Petrini, Mario Geiger, Kevin Tyloo, Matthieu Wyart

We confirm these predictions both for a one-hidden layer FC network trained on the stripe model and for a 16-layers CNN trained on MNIST, for which we also find $\beta_\text{Feature}>\beta_\text{Lazy}$.

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

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