activity
20092024
most citedRigorous confidence bounds for MCMC under a geometric drift condition

26 citations · 55 across the 10 of their papers we have counts for

collaborators

10 papers

math.NA2024★ 3 cited

Almost sure convergence rates of adaptive increasingly rare Markov chain Monte Carlo

Julian Hofstadler, Krzysztof Latuszynski, Gareth O. Roberts +1

We consider adaptive increasingly rare Markov chain Monte Carlo (MCMC) algorithms, which are adaptive MCMC methods, where the adaptation concerning the "past'' happens less and les…

math.PR2019

From the Bernoulli Factory to a Dice Enterprise via Perfect Sampling of Markov Chains

Giulio Morina, Krzysztof Latuszynski, Piotr Nayar +1

Given a -coin that lands heads with unknown probability , we wish to produce an -coin for a given function . This problem is commonly known…

stat.CO2018

Air Markov Chain Monte Carlo

Cyril Chimisov, Krzysztof Latuszynski, Gareth Roberts

We introduce a class of Adapted Increasingly Rarely Markov Chain Monte Carlo (AirMCMC) algorithms where the underlying Markov kernel is allowed to be changed based on the whole ava…

stat.CO2018★ 2 cited

Adapting The Gibbs Sampler

Cyril Chimisov, Krzysztof Latuszynski, Gareth Roberts

The popularity of Adaptive MCMC has been fueled on the one hand by its success in applications, and on the other hand, by mathematically appealing and computationally straightforwa…

stat.CO2014★ 9 cited

Individual adaptation: an adaptive MCMC scheme for variable selection problems

Jim Griffin, Krzysztof Latuszynski, Mark Steel

The increasing size of data sets has lead to variable selection in regression becoming increasingly important. Bayesian approaches are attractive since they allow uncertainty about…

stat.CO2011

Nonasymptotic bounds on the mean square error for MCMC estimates via renewal techniques

Krzysztof Latuszynski, Blazej Miasojedow, Wojciech Niemiro

The Nummellin's split chain construction allows to decompose a Markov chain Monte Carlo (MCMC) trajectory into i.i.d. "excursions". RegenerativeMCMC algorithms based on this techni…