4 papers
A ridgeline correspondence criterion: the number of modes of a Gaussian mixture is finite
Carlos Améndola, Jose Israel Rodriguez
We prove that every finite multivariate Gaussian mixture density has only finitely many modes. Our approach combines an algebraic formulation of the ridgeline theory of Ray and Lin…
Lagrangian Dual Sections: A Topological Perspective on Hidden Convexity
Venkat Chandrasekaran, Timothy Duff, Jose Israel Rodriguez +1
Hidden convexity is a powerful idea in optimization: under the right transformations, nonconvex problems that are seemingly intractable can be solved efficiently using convex optim…
Method of moments for Gaussian mixtures: Implementation and benchmarks
Haley Colgate Kottler, Julia Lindberg, Jose Israel Rodriguez
Gaussian mixture models are universal approximators in the sense that any smooth density can be approximated arbitrarily well with a Gaussian mixture model with enough components.…
Maximum likelihood estimation of log-affine models using detailed-balanced reaction networks
Oskar Henriksson, Carlos Améndola, Jose Israel Rodriguez +1
A fundamental question in the field of molecular computation is what computational tasks a biochemical system can carry out. In this work, we focus on the problem of finding the ma…