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Mathematics > Statistics Theory

arXiv:0707.4558 (math)
[Submitted on 31 Jul 2007 (v1), last revised 10 Nov 2007 (this version, v2)]

Title:Open Problems in Algebraic Statistics

Authors:Bernd Sturmfels
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Abstract: Algebraic statistics is concerned with the study of probabilistic models and techniques for statistical inference using methods from algebra and geometry. This article presents a list of open mathematical problems in this emerging field, with main emphasis on graphical models with hidden variables, maximum likelihood estimation, and multivariate Gaussian distributions. This article is based on a lecture presented at the IMA in Minneapolis during the 2006/07 program on Applications of Algebraic Geometry.
Comments: 13 pages
Subjects: Statistics Theory (math.ST); Algebraic Geometry (math.AG); Computation (stat.CO)
MSC classes: 13P10, 14Q15, 62H17, 65C60
Cite as: arXiv:0707.4558 [math.ST]
  (or arXiv:0707.4558v2 [math.ST] for this version)
  https://doi.org/10.48550/arXiv.0707.4558

Submission history

From: Bernd Sturmfels [view email]
[v1] Tue, 31 Jul 2007 08:32:28 UTC (23 KB)
[v2] Sat, 10 Nov 2007 08:55:56 UTC (23 KB)
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