A Literature Review of (Sparse) Exponential Family PCA-Reference-Cited by-同舟云学术

A Literature Review of (Sparse) Exponential Family PCA

Published:2022-02-02 Issue:1 Volume:16 Page:
ISSN:1559-8608
Container-title:Journal of Statistical Theory and Practice
language:en
Short-container-title:J Stat Theory Pract

Author:

Smallman Luke,Artemiou Andreas^ORCID

Abstract

AbstractThis is a brief overview of the methodology around exponential family PCA. We revisit classic PCA methodology, and we focus on exponential family PCA due to its applicability on a number of distributions and hence a wide variety of problems. We discuss the applicability of these methods to text data analysis due to the high-dimensional and sparse nature of these data.

Publisher

Springer Science and Business Media LLC

Subject

Statistics and Probability

Link

https://link.springer.com/content/pdf/10.1007/s42519-021-00238-4.pdf

Reference53 articles.

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2. Bertsimas D, Pauphilet J, van Parys B (2020) Sparse regression: scalable algorithms and empirical performance. Stat Sci 35:555–578

3. Bishop CM (1998) Bayesian PCA. In: Proceedings of the 1998 annual conference on advances in neural information processing systems (NIPS)

4. Buntine W, Jakulin A (2004) Applying discrete PCA in data analysis. In: Proceedings of the 20th conference on uncertainty in artificial intelligence, pp 59–66

5. Cai TT, Ma Z, Wu Y (2013) Sparse PCA: optimal rates and adaptive estimation. Ann Stat 41:3074–3110

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