67 citations · 117 across the 7 of their papers we have counts for
10 papers
Whitney's Theorem, Triangular Sets and Probabilistic Descent on Manifolds
David W. Dreisigmeyer
We examine doing probabilistic descent over manifolds implicitly defined by a set of polynomials with rational coefficients. The system of polynomials is assumed to be triangulariz…
Tight Semi-Nonnegative Matrix Factorization
David W Dreisigmeyer
The nonnegative matrix factorization is a widely used, flexible matrix decomposition, finding applications in biology, image and signal processing and information retrieval, among…
A Quasi-isometric Embedding Algorithm
David W. Dreisigmeyer
The Whitney embedding theorem gives an upper bound on the smallest embedding dimension of a manifold. If a data set lies on a manifold, a random projection into this reduced dimens…
Direct Search Methods on Reductive Homogeneous Spaces
David W Dreisigmeyer
Direct search methods are mainly designed for use in problems with no equality constraints. However, there are many instances where the feasible set is of measure zero in the ambie…
Determinants of bistability in induction of the Escherichia coli lac operon
David W. Dreisigmeyer, Jelena Stajic, Ilya Nemenman +2
We have developed a mathematical model of regulation of expression of the Escherichia coli lac operon, and have investigated bistability in its steady-state induction behavior in t…
Nonconservative Lagrangian mechanics II: purely causal equations of motion
David W. Dreisigmeyer, Peter M. Young
This work builds on the Volterra series formalism presented in [D. W. Dreisigmeyer and P. M. Young, J. Phys. A \textbf{36}, 8297, (2003)] to model nonconservative systems. Here we…