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cs.NE2026
Quantifying Uncertainty In Wide Two-Layer Neural Networks: On The Law Of The Limiting Fluctuation Process
Arnaud Descours, Arnaud Guillin, Geoffrey Lacour +3
Uncertainty quantification in neural networks prediction is a main issue for usual applications. Our approach seeks at reducing computation costs by directly evaluating uncertainty…
math.PR2026
Long time behavior of killed Feynman-Kac semigroups with singular Schr{ö}dinger potentials
Arnaud Guillin, D I Lu, Boris Nectoux +1
In this work, we investigate the compactness and the long time behavior of killed Feynman-Kac semigroups of various processes arising from statistical physics with very general sin…
cs.NE2026
Uniform-in-time concentration in two-layer neural networks via transportation inequalities
Arnaud Guillin, Boris Nectoux, Paul Stos
We quantify, uniformly over time and with high probability, the discrepancy between the predictions of a two-layer neural network trained by stochastic gradient descent (SGD) and t…