Evidence map›Paper›PMID 31210707›Full record

ArticleJournal of the American Statistical Association2015

Bayesian factorizations of big sparse tensors.

Jing Zhou, Anirban Bhattacharya, Amy Herring, David Dunson

Abstract read
In one paragraph

Article in Journal of the American Statistical Association, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.

0numbers the graph read from it
0cells of the map it votes in
17citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

17 citing papers in PubMed.

  1. Article
  2. Article
  3. Bayesian Data Sketching for Varying Coefficient Regression Models.Journal of machine learning research : JMLR · 2025
    Article
  4. Article
  5. Dimension-Grouped Mixed Membership Models for Multivariate Categorical Data.Journal of machine learning research : JMLR · 2023
    Article
  6. Bayesian nonparametric multiway regression for clustered binomial data.Stat (International Statistical Institute) · 2021
    Article
  7. Article
  8. Article
  9. Article
  10. Supervised multiway factorization.Electronic journal of statistics · 2018
    Article
  11. Discriminating sample groups with multi-way data.Biostatistics (Oxford, England) · 2017
    Article
  12. Review
  13. Tensor factorization toward precision medicine.Briefings in bioinformatics · 2017
    Article
  14. Review
  15. Article
  16. Article
  17. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Jing ZhouDepartment of Biostatistics, The University of North Carolina at Chapel Hill.
Anirban BhattacharyaDepartment of Statistics, Texas A&M University.
Amy HerringDepartment of Biostatistics and Carolina Population Center, The University of North Carolina at Chapel Hill.
David DunsonDepartment of Statistical Science, Duke University.

Funding

Research Services CoreP2CHD050924 · NICHD · UNIV OF NORTH CAROLINA CHAPEL HILL · PI KAREN B GUZZO · 2015 to 2026
$9.6M
Bayesian Methods for High-Dimensional Epidemiologic DataR01ES020619 · NIEHS · UNIV OF NORTH CAROLINA CHAPEL HILL · PI HERRING, AMY H · 2011 to 2015
$1.7M
Nonparametric Bayes Methods for Biomedical StudiesR01ES017240 · NIEHS · DUKE UNIVERSITY · PI DUNSON, DAVID BRIAN · 2009 to 2013
$1.2M
Modeling Complex Exposures and Reproductive OutcomesR03HD045780 · NICHD · UNIVERSITY OF NORTH CAROLINA CHAPEL HILL · PI HERRING, AMY H · 2004 to 2005
$142k
NICHD NIH HHS P2C HD050924NICHD NIH HHS R03 HD045780NIEHS NIH HHS R01 ES017240NIEHS NIH HHS R01 ES020619
6 · The paper itself

Abstract

It has become routine to collect data that are structured as multiway arrays (tensors). There is an enormous literature on low rank and sparse matrix factorizations, but limited consideration of extensions to the tensor case in statistics. The most common low rank tensor factorization relies on parallel factor analysis (PARAFAC), which expresses a rank k tensor as a sum of rank one tensors. When observations are only available for a tiny subset of the cells of a big tensor, the low rank assumption is not sufficient and PARAFAC has poor performance. We induce an additional layer of dimension reduction by allowing the effective rank to vary across dimensions of the table. For concreteness, we focus on a contingency table application. Taking a Bayesian approach, we place priors on terms in the factorization and develop an efficient Gibbs sampler for posterior computation. Theory is provided showing posterior concentration rates in high-dimensional settings, and the methods are shown to have excellent performance in simulations and several real data applications.

Indexed as

BayesianBig dataCategorical dataContingency tableLow rankMatrix completionPARAFACTensor factorization

Identifiers

PMID31210707
PMCPMC6579540

What OpenQuestion holds

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Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.