32 citations · 123 across the 25 of their papers we have counts for
10 papers · 1 filter
Well-posedness for Wright--Fisher SPDEs with measurable drift
Jere Koskela, Oliver Tough
We prove weak existence and uniqueness in law of -valued solutions for a class of scalar stochastic heat equations with measurable drifts , driven…
A debiased Bernoulli factory and unbiased estimation of a probability
Jere Koskela, Toni Karvonen, Krzysztof Łatuszyński +1
Given a known function and a random but almost surely finite number of independent, Ber-distributed random variables with unknown , we pr…
Multi-type -coalescents from structured population models with bottlenecks
Marta Dai Pra, Alison Etheridge, Jere Koskela +1
We introduce an individual-based model for structured populations undergoing demographic bottlenecks, i.e. drastic reductions in population size that last many generations and can…
Genealogical processes of sequential Monte Carlo methods and other non-neutral population models under rapid mutation
Jere Koskela, Paul A. Jenkins, Adam M. Johansen +1
We show that genealogical trees arising from a broad class of non-neutral models of population evolution converge to the Kingman coalescent under a suitable rescaling of time. As w…
Excursion theory for the Wright-Fisher diffusion
Paul A. Jenkins, Jere Koskela, Victor M. Rivero +3
In this work, we develop excursion theory for the Wright--Fisher diffusion with mutation. Our construction is intermediate between the classical excursion theory where all excursio…
Bernoulli factories and duality in Wright-Fisher and Allen-Cahn models of population genetics
Jere Koskela, Krzysztof Łatuszyński, Dario Spanò
Mathematical models of genetic evolution often come in pairs, connected by a so-called duality relation. The most seminal example are the Wright-Fisher diffusion and the Kingman co…
Weak Convergence of Non-neutral Genealogies to Kingman's Coalescent
Suzie Brown, Paul A. Jenkins, Adam M. Johansen +1
Interacting particle systems undergoing repeated mutation and selection steps model genetic evolution, and also describe a broad class of sequential Monte Carlo methods. The geneal…
Diffusion Limits at Small Times for Coalescent Processes with Mutation and Selection
Philip A. Hanson, Paul A. Jenkins, Jere Koskela +1
The Ancestral Selection Graph (ASG) is an important genealogical process which extends the well-known Kingman coalescent to incorporate natural selection. We show that the number o…
Convergence of Likelihood Ratios and Estimators for Selection in non-neutral Wright-Fisher Diffusions
Jaromir Sant, Paul A. Jenkins, Jere Koskela +1
A number of discrete time, finite population size models in genetics describing the dynamics of allele frequencies are known to converge (subject to suitable scaling) to a diffusio…
Computational inference beyond Kingman's coalescent
Jere Koskela, Paul A. Jenkins, Dario Spano
Full likelihood inference under Kingman's coalescent is a computationally challenging problem to which importance sampling (IS) and the product of approximate conditionals (PAC) me…