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A New Method for Computing Elimination Ideals of Likelihood Equations

Published: 08 July 2019 Publication History

Abstract

We develop a probabilistic algorithm for computing elimination ideals of likelihood equations. We show experimentally that it is far more efficient than directly computing Groebner bases or the interpolation method for medium to large size models. Furthermore, we deduce discriminants of the elimination ideals, which play a central role in real root classification. In particular, we can compute the discriminant of one Jukes-Cantor model in phylogenetics (with size 8 GB text file).

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  1. A New Method for Computing Elimination Ideals of Likelihood Equations

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    cover image ACM Other conferences
    ISSAC '19: Proceedings of the 2019 International Symposium on Symbolic and Algebraic Computation
    July 2019
    418 pages
    ISBN:9781450360845
    DOI:10.1145/3326229
    • General Chairs:
    • James Davenport,
    • Dongming Wang,
    • Program Chair:
    • Manuel Kauers,
    • Publications Chair:
    • Russell Bradford
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Published: 08 July 2019

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    Author Tags

    1. discriminant
    2. elimination ideal
    3. likelihood equation
    4. maximum likelihood estimation
    5. real root classification

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