Research Interests:
Matrix Manifolds, Geometric Data Analysis, Hyperspectral Imagery, Frame Theory, Linear Algebra
Research Publications
Publications:
1. Geodesic Paths for Time Dependent Covariance Matrices in a Riemannian Manifold: IEEE Geoscience and Remote Sensing Letters, 2014, with Avishai Ben-David
2. A Flexible Flag Representation for Finite Collections of Subspaces of Mixed Dimensions: Linear Algebra and its Applications, 2014, with Bruce Draper, Michael Kirby, Tim Marrinan, and Chris Peterson
3. The Max-Length-Vector Line of Best Fit to a Set of Vector Subspaces and an Optimization Problem Over a Set of Hyperellipsoids: Numerical Linear Algebra with Applications, 2015, with Daniel Bates, Brent Davis, Michael Kirby, and Chris Peterson
4. A Generalized Schur-Horn Theorem for Frame Completions: Applied and Computational Harmonic Analysis, 2015, with Matthew Fickus and Miriam J. Poteet
5. Two Tangent Bundle Algorithms for Averaging Point Clouds on Grassmann and Stiefel Manifolds: in preparation, with Michael Kirby and Chris Peterson
Conference Presentations:
(please see CV)
1. Geodesic Paths for Time Dependent Covariance Matrices in a Riemannian Manifold: IEEE Geoscience and Remote Sensing Letters, 2014, with Avishai Ben-David
2. A Flexible Flag Representation for Finite Collections of Subspaces of Mixed Dimensions: Linear Algebra and its Applications, 2014, with Bruce Draper, Michael Kirby, Tim Marrinan, and Chris Peterson
3. The Max-Length-Vector Line of Best Fit to a Set of Vector Subspaces and an Optimization Problem Over a Set of Hyperellipsoids: Numerical Linear Algebra with Applications, 2015, with Daniel Bates, Brent Davis, Michael Kirby, and Chris Peterson
4. A Generalized Schur-Horn Theorem for Frame Completions: Applied and Computational Harmonic Analysis, 2015, with Matthew Fickus and Miriam J. Poteet
5. Two Tangent Bundle Algorithms for Averaging Point Clouds on Grassmann and Stiefel Manifolds: in preparation, with Michael Kirby and Chris Peterson
Conference Presentations:
(please see CV)
