Maximum Likelihood Degree, Complete Quadrics, and C*-Action
Maximum Likelihood Degree, Complete Quadrics, and C*-Action
No Thumbnail Available
Files
There are no files associated with this item.
Date
2021
Authors
Editors
Journal ISSN
Electronic ISSN
ISBN
Bibliographical data
Publisher
Series
DOI (citable link)
International patent number
Link to the license
EU project number
Project
Open Access publication
Collections
Title in another language
Publication type
Journal article
Publication status
Published
Published in
SIAM Journal on Applied Algebra and Geometry ; 5 (2021), 1. - pp. 60-85. - Society for Industrial and Applied Mathematics (SIAM). - eISSN 2470-6566
Abstract
We study the maximum likelihood (ML) degree of linear concentration models in algebraic statistics. We relate it to an intersection problem on the variety of complete quadrics. This allows us to provide an explicit and basic, albeit very computationally complex, formula for the ML-degree. The variety of complete quadrics is an exact analogue for symmetric matrices of the permutohedron variety for the diagonal matrices.
Summary in another language
Subject (DDC)
510 Mathematics
Keywords
Conference
Review
undefined / . - undefined, undefined. - (undefined; undefined)
Cite This
ISO 690
MICHALEK, Mateusz, Leonid MONIN, Jarosław A. WIŚNIEWSKI, 2021. Maximum Likelihood Degree, Complete Quadrics, and C*-Action. In: SIAM Journal on Applied Algebra and Geometry. Society for Industrial and Applied Mathematics (SIAM). 5(1), pp. 60-85. eISSN 2470-6566. Available under: doi: 10.1137/20M1335960BibTex
@article{Michalek2021Maxim-53381, year={2021}, doi={10.1137/20M1335960}, title={Maximum Likelihood Degree, Complete Quadrics, and C*-Action}, number={1}, volume={5}, journal={SIAM Journal on Applied Algebra and Geometry}, pages={60--85}, author={Michalek, Mateusz and Monin, Leonid and Wiśniewski, Jarosław A.} }
RDF
<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/53381"> <dc:contributor>Michalek, Mateusz</dc:contributor> <dc:creator>Wiśniewski, Jarosław A.</dc:creator> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-04-14T14:05:27Z</dc:date> <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/> <dc:creator>Michalek, Mateusz</dc:creator> <dc:rights>terms-of-use</dc:rights> <dc:creator>Monin, Leonid</dc:creator> <dcterms:title>Maximum Likelihood Degree, Complete Quadrics, and C*-Action</dcterms:title> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/> <dc:contributor>Wiśniewski, Jarosław A.</dc:contributor> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-04-14T14:05:27Z</dcterms:available> <foaf:homepage rdf:resource="http://localhost:8080/"/> <dcterms:issued>2021</dcterms:issued> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/53381"/> <dc:language>eng</dc:language> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/> <dc:contributor>Monin, Leonid</dc:contributor> <dcterms:abstract xml:lang="eng">We study the maximum likelihood (ML) degree of linear concentration models in algebraic statistics. We relate it to an intersection problem on the variety of complete quadrics. This allows us to provide an explicit and basic, albeit very computationally complex, formula for the ML-degree. The variety of complete quadrics is an exact analogue for symmetric matrices of the permutohedron variety for the diagonal matrices.</dcterms:abstract> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> </rdf:Description> </rdf:RDF>
Internal note
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
Examination date of dissertation
Method of financing
Comment on publication
Alliance license
Corresponding Authors der Uni Konstanz vorhanden
International Co-Authors
Bibliography of Konstanz
Yes
Refereed
Unknown