Partial correlation hypersurfaces in Gaussian graphical models

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:

23 Oct 2019 12:06

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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