138 citations · 158 across the 4 of their papers we have counts for
5 papers
Geodesically parameterized covariance estimation
Antoni Musolas, Steven T. Smith, Youssef Marzouk
Statistical modeling of spatiotemporal phenomena often requires selecting a covariance matrix from a covariance class. Yet standard parametric covariance families can be insufficie…
Optimization Techniques on Riemannian Manifolds
Steven Thomas Smith
The techniques and analysis presented in this paper provide new methods to solve optimization problems posed on Riemannian manifolds. A new point of view is offered for the solutio…
Geometric Optimization Methods for Adaptive Filtering
Steven Thomas Smith
The techniques and analysis presented in this thesis provide new methods to solve optimization problems posed on Riemannian manifolds. These methods are applied to the subspace tra…
On Gaussian Beams Described by Jacobi's Equation
Steven Thomas Smith
Gaussian beams describe the amplitude and phase of rays and are widely used to model acoustic propagation. This paper describes four new results in the theory of Gaussian beams. (1…
The Geometry of Algorithms with Orthogonality Constraints
Alan Edelman, T. A. Arias, Steven T. Smith
In this paper we develop new Newton and conjugate gradient algorithms on the Grassmann and Stiefel manifolds. These manifolds represent the constraints that arise in such areas as…