14 citations · 19 across the 6 of their papers we have counts for
6 papers
Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics
Cynthia V. Flores, James E. Pascoe
We introduce a positive-allocation companion construction for Koopman-inspired finite-dimensional prediction of nonlinear dynamical systems. The method determines recurrence coeffi…
On positive definite thresholding of correlation matrices
Sujit Sakharam Damase, James Eldred Pascoe
Standard thresholding techniques for correlation matrices often destroy positive semidefiniteness. We investigate the construction of positive definite functions that vanish on spe…
Complete discrete Schoenberg-Delsarte theory for homogeneous spaces
Sujit Sakharam Damase, James Eldred Pascoe
We develop a theory of partially defined complete positivity preservers, extending Schoenberg's classical characterization to functions defined only on discrete subsets or constrai…
Stable polynomials and admissible numerators in product domains
Kelly Bickel, Greg Knese, James Eldred Pascoe +1
Given a polynomial with no zeros in the polydisk, or equivalently the poly-upper half-plane, we study the problem of determining the ideal of polynomials with the property…
The outer spectral radius and dynamics of completely positive maps
J. E. Pascoe
We examine a special case of an approximation of the joint spectral radius given by Blondel and Nesterov, which we call the outer spectral radius. The outer spectral radius is give…
Derivatives of rational inner functions: geometry of singularities and integrability at the boundary
Kelly Bickel, James Eldred Pascoe, Alan Sola
We analyze the singularities of rational inner functions on the unit bidisk and study both when these functions belong to Dirichlet-type spaces and when their partial derivatives b…