Fiona Knoll

Contact

  • Email: fknoll@usna.edu
  • Office: Hopper 448
  • Phone: 410-293-6805

    • Research Interests

    • Machine Learning
      • Reinforcement Learning
      • Dimension Reduction techniques and their Application
    • Coding Theory
      • Distributed Data Storage
      • Parallel Computing
    • Graph Theory
    • Mathematics and Music

    Doctoral Research

    • Dimension Reduction Techniques via Johnson Lindenstrauss Transformations

    Publications

    • Michael Burr, Shuhong Gao, Fiona Knoll. “On the Lower Bounds of Johnson-Lindenstrauss Transformation.” Journal of Machine Learning, 2018.
    • Lin You, Fiona Knoll, Yue Mao, Shuhong Gao. “Practical Johnson-Lindenstrauss Transforms via Algebraic Geometry Codes.” 2017 International Conference on Control, Artificial Intelligence, Robotics and Optimization, 2017.
    • Shuhong Gao, Fiona Knoll, Felice Mangianello, Gretchen Matthews. "Codes for distributed storage from 3-regular graphs.” Discrete Applied Mathematics, 2016.
    • S. Hedetniemi, F. Knoll, R. Laskar. “Split Domination, Independence, and Irredundance in Graphs.” Congressus Numerantium, 2016.
    • A. Grady, F. Knoll, R. Laskar, D.J. Lipman. “Cycle Domination, Independence, and Irredundance in Graphs.” Congressus Numerantium, 224:159-174, 2015.
    • A. Grady, F. Knoll, D. J. Lipman. “Clique Independence, Domination, and Irredundance in Graphs.” Congressus Numerantium, 223:193-198, 2015.

    Conference Presentations

    • AMS Meeting at Ohio State March 2018

      • Invited Presentation: Error-Correcting Codes Applied to Parallel Computation.

    • Joint Mathematics Meetings January 2017

      • Presented research on the bounds of Johnson-Lindenstrauss transformations.

    • 2016 Fall Central Sectional Meeting October 2016

      • Presented research on Johnson-Lindenstrauss transformations via Algebraic Geometry codes.

    • Southeastern International Conference on Combinatorics, Graph Theory, and Computing March 2016

      • Presented research on the graph theory concepts of split irredundance and split independence.

    • Joint Mathematics Meetings January 2016

      • Presented research on Johnson-Lindenstrauss transformations via Algebraic Geometry codes.

    • Association for Women in Mathematics Research Symposium April 2015

      • Presented a poster on Johnson-Lindenstrauss projection of high dimensional data.

    • Southeastern International Conference on Combinatorics, Graph Theory, and Computing March 2015

      • Presented research on an abstraction of domination chains, specifically domination chains concerning cycle independence graphs.