17 citations · 45 across the 19 of their papers we have counts for
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math.ST2022
Concentration inequalities for leave-one-out cross validation
Benny Avelin, Lauri Viitasaari
In this article we prove that estimator stability, together with a gradient-growth condition on the expected fitted loss, is enough to provide concentration bounds for leave-one-ou…
math.AP2022
A note on the capacity estimate in metastability for generic configurations
Benny Avelin, Vesa Julin
In this paper we further develop the ideas from Geometric Function Theory initially introduced in [arXiv:2206.13206], to derive capacity estimate in metastability for arbitrary con…
math.AP2022
Geometric Characterization of the Eyring-Kramers Formula
Benny Avelin, Vesa Julin, Lauri Viitasaari
In this paper we consider the mean transition time of an over-damped Brownian particle between local minima of a smooth potential. When the minima and saddles are non-degenerate th…