Draisma, Jan (2019). Partial correlation hypersurfaces in Gaussian graphical models. Algebraic combinatorics, 2(3), pp. 439-446. Centre Mersenne 10.5802/alco.44
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We derive a combinatorial sufficient condition for a partial correlation hypersurface in the parameter space of a directed Gaussian graphical model to be nonsingular, and speculate on whether this condition can be used in algorithms for learning the graph. Since the condition is fulfilled in the case of a complete DAG on any number of vertices, the result implies an affirmative answer to a question raised by Lin-Uhler-Sturmfels-Bühlmann.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Draisma, Jan |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
2589-5486 |
Publisher: |
Centre Mersenne |
Language: |
English |
Submitter: |
Michel Arthur Bik |
Date Deposited: |
14 Oct 2019 13:29 |
Last Modified: |
05 Dec 2022 15:31 |
Publisher DOI: |
10.5802/alco.44 |
ArXiv ID: |
1806.00320 |
BORIS DOI: |
10.7892/boris.133877 |
URI: |
https://boris.unibe.ch/id/eprint/133877 |
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