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cond-mat.stat-mech2022★ 11 cited
PDMP characterisation of event-chain Monte Carlo algorithms for particle systems
Athina Monemvassitis, Arnaud Guillin, Manon Michel
Monte Carlo simulations of systems of particles such as hard spheres or soft spheres with singular kernels can display around a phase transition prohibitively long convergence time…
math.PR2022★ 2 cited
Law of large numbers and central limit theorem for wide two-layer neural networks: the mini-batch and noisy case
Arnaud Descours, Arnaud Guillin, Manon Michel +1
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…