Workshop: Algebraic Statistics, Machine Learning and Lattice Spin Models
Description of the Algebraic Statistics tutorial session
Three hour tutorial introduction to algebraic statistics, with data examples.
Introduction: Polynomials, Varieties, Ideals, Polyhedra
Example 1: The toric Markov chain
Example 2: Sampling 3-way contingency tables
Example 3: The Neyman model on a phylogenetic tree
Software in demonstrations might include: polymake, 4ti2, Macaulay 2, Singular
Background Reading
For basic algebra background:
"Ideals, Varieties, and Algorithms" of Cox, Little, O'Shea
Algebraic Statistics readings:
"Algebraic Statistics for Computational Biology" by Pachter and Sturmfels
The paper "Algebraic Statistical Models" of Mathias Drton and Seth Sullivant, downloadable from Seth Sullivant's webpage.
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