4 papers
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…
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…
Posterior bounds on divergence time of two sequences under dependent-site evolutionary models
Joseph Mathews, Scott C. Schmidler
Let $\x$ and $\y$ be two length DNA sequences, and suppose we would like to estimate the divergence time . Under suitable conditions, a well-known simple but crude estimate…
Sequential Monte Carlo for Cut-Bayesian Posterior Computation
Joseph Mathews, Giri Gopalan, James Gattiker +2
We propose a sequential Monte Carlo (SMC) method to efficiently and accurately compute cut-Bayesian posterior quantities of interest, variations of standard Bayesian approaches con…