Maximum Likelihood Estimation of Symmetric Group-Based Models via Numerical Algebraic Geometry
Loading...
Access rights
openAccess
publishedVersion
URL
Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
This publication is imported from Aalto University research portal.
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
Authors
Date
Major/Subject
Mcode
Degree programme
Language
en
Pages
Series
Bulletin of Mathematical Biology, Volume 81, issue 2, pp. 337–360
Abstract
Phylogenetic models admit polynomial parametrization maps in terms of the root distribution and transition probabilities along the edges of the phylogenetic tree. For symmetric continuous-time group-based models, Matsen studied the polynomial inequalities that characterize the joint probabilities in the image of these parametrizations (Matsen in IEEE/ACM Trans Comput Biol Bioinform 6:89–95, 2009). We employ this description for maximum likelihood estimation via numerical algebraic geometry. In particular, we explore an example where the maximum likelihood estimate does not exist, which would be difficult to discover without using algebraic methods.Description
Other note
Citation
Kosta, D & Kubjas, K 2019, 'Maximum Likelihood Estimation of Symmetric Group-Based Models via Numerical Algebraic Geometry', Bulletin of Mathematical Biology, vol. 81, no. 2, pp. 337–360. https://doi.org/10.1007/s11538-018-0523-2