Author

Felix Benning

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Preprint Oct 2026

User-friendly approximation theory for statistical regression

The error of regression using noisy function values naturally decomposes into an approximation error from the choice of model space and stochastic error from the noise on the observations. Statistical theory is mostly concerned with the stochastic error while approximation theory focuses on the approximation error, oft...

Felix Benning · 0 citations

#machine learning Preprint Sep 2026

Correlated initialization of deep residual networks

We study the large-depth behavior of residual networks whose weights are correlated across layers at initialization. Our results confirm and extend a conjecture of Marion et al. [2025], according to which correlated initializations should interpolate continuously between the Brownian stochastic differential equation ar...

Felix Benning, I. Nourdin, G. Peccati · 1 citation