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Algebraic optimization degree

Published:29 September 2020Publication History
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Abstract

The Macaulay2 [5] package AlgebraicOptimization implements methods for determining the algebraic degree of an optimization problem. We describe the structure of an algebraic optimization problem and explain how the methods in this package may be used to determine the respective degrees. Special features include determining Euclidean distance degrees and maximum likelihood degrees. To our knowledge, this is the first comprehensive software package combining different methods in algebraic optimization. The package is available at https://github.com/Macaulay2/Workshop-2020-Cleveland/tree/ISSAC-AlgOpt/alg-stat/AlgebraicOptimization.

References

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  • Published in

    cover image ACM Communications in Computer Algebra
    ACM Communications in Computer Algebra  Volume 54, Issue 2
    June 2020
    47 pages
    ISSN:1932-2240
    DOI:10.1145/3427218
    Issue’s Table of Contents

    Copyright © 2020 Copyright is held by the owner/author(s)

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    • Published: 29 September 2020

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