Publications de Alia Abbara | EPFL Graph Search

Bridging Wright–Fisher and Moran models

Anne-Florence Raphaëlle Bitbol, Alia Abbara

The Wright–Fisher model and the Moran model are both widely used in population genetics. They describe the time evolution of the frequency of an allele in a well-mixed population with fixed size. We propose a simple and tractable model which bridges the Wr ...

2025

Evolution of cooperation in deme-structured populations on graphs

Anne-Florence Raphaëlle Bitbol, Alia Abbara

Understanding how cooperation can evolve in populations despite its cost to individual cooperators is an important challenge. Models of spatially structured populations with one individual per node of a graph have shown that cooperation, modeled via the pr ...

Amer Physical Soc2024

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

Anne-Florence Raphaëlle Bitbol, Alia Abbara

In nature, most microbial populations have complex spatial structures that can affect their evolution. Evolutionary graph theory predicts that some spatial structures modelled by placing individuals on the nodes of a graph affect the probability that a mut ...

2024

Impact of phylogeny on the inference of functional sectors from protein sequence data

Anne-Florence Raphaëlle Bitbol, Nicola Dietler, Alia Abbara

Statistical analysis of multiple sequence alignments of homologous proteins has revealed groups of coevolving amino acids called sectors. These groups of amino-acid sites feature collective correlations in their amino-acid usage, and they are associated to ...

2024

Frequent asymmetric migrations suppress natural selection in spatially structured populations

Anne-Florence Raphaëlle Bitbol, Alia Abbara

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 are known to be unaffected by sufficiently symmetric structures, ev ...

Oxford Univ Press2023

Asymptotic Errors for Teacher-Student Convex Generalized Linear Models (Or: How to Prove Kabashima’s Replica Formula)

Florent Gérard Krzakala, Alia Abbara

There has been a recent surge of interest in the study of asymptotic reconstruction performance in various cases of generalized linear estimation problems in the teacher-student setting, especially for the case of i.i.d standard normal matrices. Here, we g ...

2022