In [1], Cloninger, Czaja, Bai, and Basser developed an algorithm for compressive sampling based data acquisition for the solution of 2D Fredholm equations. We extend the algorithm to N dimensional… (More)

Title of dissertation: TENSOR COMPLETION FOR MULTIDIMENSIONAL INVERSE PROBLEMS WITH APPLICATIONS TO MAGNETIC RESONANCE RELAXOMETRY Ariel Hafftka, Doctor of Philosophy, 2016 Dissertation directed by:… (More)

In this paper we approach the topology of smooth manifolds using differential tools, as opposed to algebraic ones such as homology or the fundamental group. The main result is the Poincaré-Hopf index… (More)

The Szemerédi Regularity Lemma states that any sufficiently large graph G can be partitioned into a bounded (independent of the size of the graph) number of regular, or “random-looking,” components.… (More)

Modern sensing platforms acquire heterogeneous data collected from multiple sensing modalities. We are then faced with the challenge of fusing the already collected heterogeneous data for effective… (More)