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Titel:

Third-order moment varieties of linear non-Gaussian graphical models

Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
Améndola, Carlos; Drton, Mathias; Grosdos, Alexandros; Homs, Roser; Robeva, Elina
Abstract:
In this paper, we study linear non-Gaussian graphical models from the perspective of algebraic statistics. These are acyclic causal models in which each variable is a linear combination of its direct causes and independent noise. The underlying directed causal graph can be identified uniquely via the set of second and third-order moments of all random vectors that lie in the corresponding model. Our focus is on finding the algebraic relations among these moments for a given graph. We show that w...     »
Dewey Dezimalklassifikation:
510 Mathematik
Zeitschriftentitel:
Information and Inference: A Journal of the IMA
Jahr:
2023
Band / Volume:
12
Jahr / Monat:
2023-04
Quartal:
2. Quartal
Monat:
Apr
Heft / Issue:
3
Seitenangaben Beitrag:
1405–1436
Sprache:
en
Volltext / DOI:
doi:10.1093/imaiai/iaad007
WWW:
Information and Inference: A Journal of the IMA
Verlag / Institution:
Oxford University Press (OUP)
E-ISSN:
2049-8772
Hinweise:
Published online: 20 April 2023 Published: September 2023
Status:
Erstveröffentlichung
Eingereicht (bei Zeitschrift):
12.04.2022
Angenommen (von Zeitschrift):
04.12.2022
Publikationsdatum:
20.04.2023
Semester:
SS 23
TUM Einrichtung:
Lehrstuhl für Mathematische Statistik
Format:
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