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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Particle islands and archipelagos: some large sample theory

## Particle islands and archipelagos: some large sample theoryAdd to your list(s) Download to your calendar using vCal - Olsson, JR (KTH - Royal Institute of Technology)
- Thursday 24 April 2014, 10:30-11:05
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Advanced Monte Carlo Methods for Complex Inference Problems Co-authors: Christelle Vergé, Pierre Del Moral, and Eric Moulines This talk discusses parallelisation of sequential Monte Carlo methods via the particle island framework (Vergé et al., 2013) and presents some novel convergence results for methods of this sort. More specifically, we introduce the concept of weighted archipelagos (i.e. sets of weighted particle islands, where each island is itself a weighted sample of particles) and define three different operations on such archipelagos, namely: selection on the island level, selection on the particle level, and mutation. We then establish that these operations preserve a set of convergence properties, including asymptotic normality, of the archipelago as the number of islands as well as the number of particles of each island tend jointly to infinity. Moreover, we provide recursive formulas for the asymptotic variance associated with each operation. As our results allow arbitrary compositions of the mentioned operations to be analysed, we may use the same for establishing the convergence properties of not only the double bootstrap algorithm but also generalisations of this algorithm. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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