Zobrazeno 1 - 10
of 1 459
pro vyhledávání: '"A. Nectoux"'
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 vanishes only at a unique measure, which is the so-called quasi-ergodic dis
Externí odkaz:
http://arxiv.org/abs/2411.17216
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 singular Schr{\"o}dinger potentials. The processes we consider cover a la
Externí odkaz:
http://arxiv.org/abs/2411.13099
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 regression task. The different networks are trained via different maximizatio
Externí odkaz:
http://arxiv.org/abs/2406.09048
In this paper, we prove in a very weak regularity setting existence and uniqueness of quasi-stationary distributions as well as exponential convergence towards the quasi-stationary distribution for the generalized Langevin and the Nos{\'e}-Hoover pro
Externí odkaz:
http://arxiv.org/abs/2403.17471
We provide a rigorous analysis of training by variational inference (VI) of Bayesian neural networks in the two-layer and infinite-width case. We consider a regression problem with a regularized evidence lower bound (ELBO) which is decomposed into th
Externí odkaz:
http://arxiv.org/abs/2307.04779
We review some recent results of quantitative long-time convergence for the law of a killed Markov process conditioned to survival toward a quasi-stationary distribution, and on the analogous question for the particle systems used in practice to samp
Externí odkaz:
http://arxiv.org/abs/2305.15915
In this work, we analyse the metastability of non-reversible diffusion processes $$dX_t=\boldsymbol{b}(X_t)dt+\sqrt h\,dB_t$$ on a bounded domain $\Omega$ when $\mathbf{b}$ admits the decomposition $\mathbf{b}=-(\nabla f+\mathbf{\ell})$ and $\nabla f
Externí odkaz:
http://arxiv.org/abs/2303.06971
In this work, we consider a wide two-layer neural network and study the behavior of its empirical weights under a dynamics set by a stochastic gradient descent along the quadratic loss with mini-batches and noise. Our goal is to prove a trajectorial
Externí odkaz:
http://arxiv.org/abs/2207.12734
Let $(X_t)_{t\ge 0}$ be the stochastic process solution to the overdamped Langevin dynamics $$dX_t=-\nabla f(X_t) \, dt +\sqrt h \, dB_t$$ and let $\Omega \subset \mathbb R^d $ be the basin of attraction of a local minimum of $f: \mathbb R^d \to \mat
Externí odkaz:
http://arxiv.org/abs/2207.09284
Autor:
Andre, Constance *, Coursier, Raphaël, Saab, Marc, Mezel, Aurélie, Nectoux, Éric, Fron, Damien, Pougès, Cécile, Canavese, Federico
Publikováno v:
In Orthopaedics & Traumatology: Surgery & Research October 2024 110(6)
