9 citations · 9 across the 1 of their papers we have counts for
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Algebraic Geometry of Bayesian Networks
Luis David Garcia, Michael Stillman, Bernd Sturmfels
We study the algebraic varieties defined by the conditional independence statements of Bayesian Networks. A complete algebraic classification is given for Bayesian Networks on at m…
Algorithms for the Toric Hilbert Scheme
Michael Stillman, Bernd Sturmfels, Rekha R. Thomas
The toric Hilbert scheme parametrizes all algebras isomorphic to a given semigroup algebra as a multigraded vectorspace. All components of the scheme are toric varieties, and among…
Cohomology on Toric Varieties and Local Cohomology with Monomial Supports
David Eisenbud, Mircea Mustata, Mike Stillman
We study the local cohomology modules H^i_B(R) for a reduced monomial ideal B in a polynomial ring R=k[X_1,...,X_n]. We consider a grading on R which is coarser than the Z^n-gradin…