Research

My research is broadly in applied mathematics. My current research interests are

  • Algorithms for the distance geometry problem with the goal of determining 3D protein structure
  • Fast convex algorithms for graph matching
  • A relatively recent interest is theoretical analysis of deep learning in certain applications.


    Publications

    SZ

    1. Tasissa, Abiy F., et al. “On the formation of Friedlander waves in a compressed-gas-driven shock tube.” Proc. R. Soc. A. Vol. 472. No. 2186. The Royal Society, 2016.
    2. Tasissa, Abiy, and Rongjie Lai. “Exact reconstruction of euclidean distance geometry problem using low-rank matrix completion.” IEEE Transactions on Information Theory 65.5 (2018): 3124-3144. [Link] [supplement]

    3. A. Tasissa, R. Lai, “Matrix Completion in a General Non-orthonormal Basis”, Submitted to Foundations of Computational Mathematics. [Link]

    Talks

    • A Matrix Completion Framework for the Euclidean Distance Geometry Problem, June 26 2019, DIMACS Workshop on Optimization in Distance Geometry, Rutgers University, NJ
    • Convex Relaxations for the Graph Matching Problem, April 2 2019, RTG Seminar, Rensselaer Polytechnic Institute
    • Exact Reconstruction of Euclidean Distance Geometry Problem using Low-rank Matrix Completion, July 10 2018, SIAM Annual Meeting, Portland, Oregon
    • An Analysis of Local Coordinates Reconstruction of an Incomplete Manifold using Matrix Completion Theory, July 11 2018, SIAM Annual Meeting, Portland, Oregon
    • Exact Reconstruction of Distance Geometry Problem Using Low-rank Matrix Completion, April 8 2017, Applied Mathematics Days, Rensselaer Polytechnic Institute
    • Exact Reconstruction of Distance Geometry Problem Using Low-rank Matrix Completion, February 14 2017, RTG Seminar, Rensselaer Polytechnic Institute
    • Modeling and Optimization of Reach and Exposure in Television Advertisements, Jun 23 2017, Mathematical Problems in Industry Workshop, NJ Institute of Technology
    • Coughing and Sneezing, Lydia Bourouiba, Abiy Tasissa, John Bush, 2010, 63rd Annual Meeting of the APS Division of Fluid Dynamics Volume 55, Number 16