mlsanityData to 7 Oct 2026

Hadamard Extensions and the Identification of Mixtures of Product Distributions

arXiv 2101.11688 ↗First posted 27 Jan 2021cs.LG eess.SP stat.MLcited by 4

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Abstract (arXiv)

The Hadamard Extension of a matrix is the matrix consisting of all Hadamard products of subsets of its rows. This construction arises in the context of identifying a mixture of product distributions on binary random variables: full column rank of such extensions is a necessary ingredient of identification algorithms. We provide several results concerning when a Hadamard Extension has full column rank.

Key facts. Cited by 4 papers in the map (data through 7 Oct 2026). Builds on 3 of its 18 references that are in the map. First posted on arXiv 27 Jan 2021.

Builds on

3 of 18 references.

References · 3

  1. 2018Beyond the Low-Degree Algorithm: Mixtures of Subcubes and Their Applicationscited by 15
  2. 2020Source Identification for Mixtures of Product Distributionscited by 11
  3. 2015Learning Arbitrary Statistical Mixtures of Discrete Distributionscited by 4

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Cited by year

Citing papers per year: 2021: 2; 2022: 1; 2023: 1.

4 papers.

  1. 2021Learning latent causal graphs via mixture oraclescited by 55
  2. 2021Causal Inference Despite Limited Global Confounding via Mixture Modelscited by 9
  3. 2023Identification of Mixtures of Discrete Product Distributions in Near-Optimal Sample and Time Complexitycited by 4
  4. 2022Tight Bounds on the Hardness of Learning Simple Nonparametric Mixturescited by 3