1 citations · 1 across the 5 of their papers we have counts for
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Large deviations of the empirical measures of a strong-Feller Markov process inside a subset and quasi-ergodic distribution
Arnaud Guillin, Boris Nectoux, Liming Wu
In this work, we establish, for a strong Feller process, the large deviation principle for the occupation measure conditioned not to exit a given subregion. The rate function vanis…
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…
Central Limit Theorem for Bayesian Neural Network trained with Variational Inference
Arnaud Descours, Tom Huix, Arnaud Guillin +3
In this paper, we rigorously derive Central Limit Theorems (CLT) for Bayesian two-layerneural networks in the infinite-width limit and trained by variational inference on a regress…
Generalized Langevin And Nos{é}-hoover Processes Absorbed At The Boundary Of A Metastable Domain
Arnaud Guillin, D I Lu, Boris Nectoux +1
In this paper, we prove in a very weak regularity setting existence and uniqueness of quasi-stationary distributions as well as exponential conver- gence towards the quasi-stationa…