Clonal fitness inferred from time-series modelling of single-cell cancer genomes

S Salehi, F Kabeer, N Ceglia, M Andronescu… - Nature, 2021 - nature.com
Progress in defining genomic fitness landscapes in cancer, especially those defined by copy
number alterations (CNAs), has been impeded by lack of time-series single-cell sampling of …

Statistical inference for stochastic differential equations

P Craigmile, R Herbei, G Liu… - Wiley Interdisciplinary …, 2023 - Wiley Online Library
Many scientific fields have experienced growth in the use of stochastic differential equations
(SDEs), also known as diffusion processes, to model scientific phenomena over time. SDEs …

Bayesian inference of natural selection from allele frequency time series

JG Schraiber, SN Evans, M Slatkin - Genetics, 2016 - academic.oup.com
The advent of accessible ancient DNA technology now allows the direct ascertainment of
allele frequencies in ancestral populations, thereby enabling the use of allele frequency time …

Riemannian langevin algorithm for solving semidefinite programs

M Li, MA Erdogdu - Bernoulli, 2023 - projecteuclid.org
Riemannian Langevin algorithm for solving semidefinite programs Page 1 Bernoulli 29(4),
2023, 3093–3113 https://doi.org/10.3150/22-BEJ1576 Riemannian Langevin algorithm for …

From denoising diffusions to denoising markov models

J Benton, Y Shi, V De Bortoli, G Deligiannidis… - arXiv preprint arXiv …, 2022 - arxiv.org
Denoising diffusions are state-of-the-art generative models exhibiting remarkable empirical
performance. They work by diffusing the data distribution into a Gaussian distribution and …

From denoising diffusions to denoising Markov models

J Benton, Y Shi, V De Bortoli… - Journal of the Royal …, 2024 - academic.oup.com
Denoising diffusions are state-of-the-art generative models exhibiting remarkable empirical
performance. They work by diffusing the data distribution into a Gaussian distribution and …

Frequent asymmetric migrations suppress natural selection in spatially structured populations

A Abbara, AF Bitbol - PNAS nexus, 2023 - academic.oup.com
Natural microbial populations often have complex spatial structures. This can impact their
evolution, in particular the ability of mutants to take over. While mutant fixation probabilities …

Mutant fate in spatially structured populations on graphs: connecting models to experiments

A Abbara, L Pagani, C García-Pareja… - PLOS Computational …, 2024 - journals.plos.org
In nature, most microbial populations have complex spatial structures that can affect their
evolution. Evolutionary graph theory predicts that some spatial structures modelled by …

Bayesian inference of species trees using diffusion models

M Stoltz, B Baeumer, R Bouckaert, C Fox… - Systematic …, 2021 - academic.oup.com
We describe a new and computationally efficient Bayesian methodology for inferring species
trees and demographics from unlinked binary markers. Likelihood calculations are carried …

Poisson random fields for dynamic feature models

V Perrone, PA Jenkins, D Spano, YW Teh - Journal of Machine Learning …, 2017 - jmlr.org
We present the Wright-Fisher Indian buffet process (WF-IBP), a probabilistic model for time-
dependent data assumed to have been generated by an unknown number of latent features …