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Xavier Fontaine

4 accepted papers

2021

Online A-Optimal Design and Active Linear Regression

ICML 2021spotlight

We consider in this paper the problem of optimal experiment design where a decision maker can choose which points to sample to obtain an estimate $\hat{\beta}$ of the hidden parameter $\beta^{\star}$ of an underlying linear model. The key challenge of this work lies in the heteroscedasticity assumpt…

Cited by 25Source ↗PDF ↗Scholar ↗
2020

Quantitative Propagation of Chaos for SGD in Wide Neural Networks

NeurIPS 2020poster

In this paper, we investigate the limiting behavior of a continuous-time counterpart of the Stochastic Gradient Descent (SGD) algorithm applied to two-layer overparameterized neural networks, as the number or neurons (i.e., the size of the hidden layer) $N \to \plusinfty$. Following a proba…

Cited by 37Source ↗PDF ↗Scholar ↗