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Title:

Interaction Models and Generalized Score Matching for Compositional Data

Document type:
Konferenzbeitrag
Author(s):
Yu, Shiqing; Drton, Mathias; Shojaie, Ali
Pages contribution:
1-25
Abstract:
Applications such as the analysis of microbiome data have led to renewed interest in statistical methods for compositional data, i.e., data in the form of relative proportions. In particular, there is considerable interest in modelling interactions among such proportions. To this end we propose a class of exponential family models that accommodate arbitrary patterns of pairwise interaction. Special cases include Dirichlet distributions as well as Aitchison’s additive logistic normal distribution...     »
Keywords:
Compositional data, Graphical model, High-dimensional statistics, Interaction, Sparsity
Dewey Decimal Classification:
510 Mathematik
Editor:
MLResearchPress
Book / Congress title:
Proceedings of Machine Learning Research
Congress (additional information):
The 2nd Learning on Graphs Conference
Volume:
231
Date of congress:
November 27 - November30, 2023
Date of publication:
01.04.2024
Year:
2024
Quarter:
2. Quartal
Year / month:
2024-04
Month:
Apr
Pages:
1-25
E-ISBN:
2640-3498
Language:
en
Publication format:
WWW
WWW:
Proceedings of Machine Learning Research
Semester:
SS 24
TUM Institution:
Lehrstuhl für Mathematische Statistik
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