RECIPROCAL MAXIMUM LIKELIHOOD DEGREES OF DIAGONAL LINEAR CONCENTRATION MODELS

C. Eur, T. Fife, J. A. Samper, T. Seynnaeve

Research output: Contribution to journalArticlepeer-review

Abstract

We show that the reciprocal maximal likelihood degree (rmld) of a diagonal linear concentration model L ⊆ Cn of dimension r is equal to (Formula Presented) where χM is the characteristic polynomial of the matroid M associated to L. In particular, this establishes the polynomiality of the rmld for general diagonal linear concentration models, positively answering a question of Sturmfels, Timme, and Zwiernik

Original languageEnglish (US)
Pages (from-to)447-459
Number of pages13
JournalMatematiche
Volume76
Issue number2
DOIs
StatePublished - 2021
Externally publishedYes

Keywords

  • Characteristic polynomials
  • Matroids
  • Maximum likelihood degrees
  • Reciprocal spaces

ASJC Scopus subject areas

  • Information Systems
  • Mathematics (miscellaneous)
  • Applied Mathematics

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