198 citations · 713 across the 38 of their papers we have counts for
5 papers · 1 filter
Geometry of the restricted Boltzmann machine
Maria Angelica Cueto, Jason Morton, Bernd Sturmfels
The restricted Boltzmann machine is a graphical model for binary random variables. Based on a complete bipartite graph separating hidden and observed variables, it is the binary an…
Blow-ups of at points and spinor varieties
Bernd Sturmfels, Mauricio Velasco
Work of Dolgachev and Castravet-Tevelev establishes a bijection between the weights of the half-spin representations of and the generators of the Cox…
Multivariate Gaussians, Semidefinite Matrix Completion, and Convex Algebraic Geometry
Bernd Sturmfels, Caroline Uhler
We study multivariate normal models that are described by linear constraints on the inverse of the covariance matrix. Maximum likelihood estimation for such models leads to the pro…
Reconstructing Spatiotemporal Gene Expression Data from Partial Observations
Dustin A. Cartwright, Siobhan M. Brady, David A. Orlando +2
Developmental transcriptional networks in plants and animals operate in both space and time. To understand these transcriptional networks it is essential to obtain whole-genome exp…
The Hilbert scheme of the diagonal in a product of projective spaces
Dustin Cartwright, Bernd Sturmfels
The diagonal in a product of projective spaces is cut out by the ideal of 2x2-minors of a matrix of unknowns. The multigraded Hilbert scheme which classifies its degenerations has…