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math.PR2011★ 17 cited
Markovian stochastic approximation with expanding projections
Christophe Andrieu, Matti Vihola
Stochastic approximation is a framework unifying many random iterative algorithms occurring in a diverse range of applications. The stability of the process is often difficult to v…
math.ST2011★ 26 cited
On nonlinear Markov chain Monte Carlo
Christophe Andrieu, Ajay Jasra, Arnaud Doucet +1
Let be the space of probability measures on a measurable space . In this paper we introduce a class of nonlinear Markov chain Monte Carlo (MCMC) m…