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20092026
most citedConditions for rapid mixing of parallel and simulated tempering on multimodal distributions

96 citations · 228 across the 14 of their papers we have counts for

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6 papers · 1 filter

stat.CO2025

Improved Bounds for Context-Dependent Evolutionary Models Using Sequential Monte Carlo

Joseph Mathews, Scott C. Schmidler

Statistical inference in evolutionary models with site-dependence is a long-standing challenge in phylogenetics and computational biology. We consider the problem of approximating…

stat.CO2025

Importance Sampling Approximation of Sequence Evolution Models with Site-Dependence

Joseph Mathews, Scott C. Schmidler

We consider models for molecular sequence evolution in which the transition rates at each site depend on the local sequence context, giving rise to a time-inhomogeneous Markov proc…

stat.CO2022★ 2 cited

Finite Sample Complexity of Sequential Monte Carlo Estimators on Multimodal Target Distributions

Joseph Mathews, Scott C. Schmidler

We prove finite sample complexities for sequential Monte Carlo (SMC) algorithms which require only local mixing times of the associated Markov kernels. Our bounds are particularly…

stat.CO2018

Finite Sample Bounds for Sequential Monte Carlo and Adaptive Path Selection Using the Norm

Joe Marion, Joseph Mathews, Scott C. Schmidler

We prove a bound on the finite sample error of sequential Monte Carlo (SMC) on static spaces using the distance between interpolating distributions and the mixing times of Ma…

stat.CO2018

Finite Sample Complexity of Sequential Monte Carlo Estimators

Joe Marion, Joseph Mathews, Scott C. Schmidler

We present bounds for the finite sample error of sequential Monte Carlo samplers on static spaces. Our approach explicitly relates the performance of the algorithm to properties of…

stat.CO2013★ 17 cited

Parallel Markov Chain Monte Carlo

Douglas N. VanDerwerken, Scott C. Schmidler

Markov chain Monte Carlo is an inherently serial algorithm. Although likelihood calculations for individual steps can sometimes be parallelized, the serial evolution of the process…