Search Results for author: Geoffrey Chinot

Found 5 papers, 1 papers with code

On the robustness of minimum norm interpolators and regularized empirical risk minimizers

no code implementations1 Dec 2020 Geoffrey Chinot, Matthias Löffler, Sara van de Geer

This article develops a general theory for minimum norm interpolating estimators and regularized empirical risk minimizers (RERM) in linear models in the presence of additive, potentially adversarial, errors.

On the robustness of the minimum $\ell_2$ interpolator

no code implementations12 Mar 2020 Geoffrey Chinot, Matthieu Lerasle

For low signal to noise ratio, we also provide lower bound holding with large probability.

ERM and RERM are optimal estimators for regression problems when malicious outliers corrupt the labels

no code implementations24 Oct 2019 Geoffrey Chinot

When $r_N$ is minimax-rate-optimal in a non-contaminated setting, the rate $r_N + AL|\cO|/N$ is also minimax-rate-optimal when $|\cO|$ outliers contaminate the label.

regression

Gradient Descent can Learn Less Over-parameterized Two-layer Neural Networks on Classification Problems

no code implementations23 May 2019 Atsushi Nitanda, Geoffrey Chinot, Taiji Suzuki

Most studies especially focused on the regression problems with the squared loss function, except for a few, and the importance of the positivity of the neural tangent kernel has been pointed out.

General Classification Generalization Bounds

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