no code implementations • 17 Feb 2021 • Xiequan Fan, Pierre Alquier, Paul Doukhan
We introduce a class of Markov chains, that contains the model of stochastic approximation by averaging and non-averaging.
no code implementations • 5 Dec 2019 • Haijuan Hu, Jacques Froment, Baoyan Wang, Xiequan Fan
Following the pioneering works of Rudin, Osher and Fatemi on total variation (TV) and of Buades, Coll and Morel on non-local means (NL-means), the last decade has seen a large number of denoising methods mixing these two approaches, starting with the nonlocal total variation (NLTV) model.
no code implementations • 27 Aug 2018 • Pierre Alquier, Paul Doukhan, Xiequan Fan
In this paper, we extend the basic tools of Dedecker and Fan (2015) to nonstationary Markov chains.