Research Areas of Active Interest

Equation Discovery and System Identification, including:
* Learning ODEs and SDEs from Noisy Time Series
* Learning Hamiltonians (Classical and Quantum) from Time Series
* Adjoint Methods
Machine Learning and Deep Learning for Health
Applied/Computational Optimization

Research Group (May, 2022)

Majerle Reeves (PhD Student, Applied Math)
Hardeep Bassi (PhD Student, Applied Math)
Kevin Collins (PhD Student, Physics)
Prachi Gupta (Postdoc, Chemistry, Co-Advised with Prof. Christine Isborn)

Graduate Research Group Alumni

  • Dr. Li-Hsuan Huang (Ph.D. 2018, UC Merced)
    Dissertation: Markov Chain Models and Data Science Applications
  • Dr. Shagun Rawat (Ph.D. 2018, UC Merced)
    Dissertation: Learning Governing Equations for Stochastic Dynamical Systems
    Current position: Software Engineer, Google
  • Dr. R. W. M. A. Madushani (Ph.D. 2017, UC Merced)
    Dissertation: Parameter Inference for Stochastic Differential Equations
    Current position: Postdoctoral Scholar, Boston Medical Center
  • Dr. Garnet Vaz (Ph.D. 2014, UC Merced)
    Dissertation: Graph Based Scalable Algorithms with Applications
    Current position: Principal Data Scientist, Microsoft
  • Dr. Nitesh Kumar (Ph.D. 2013, UC Merced)
    Dissertation: Modeling Dependence in Data: Options Pricing and Random Walks
    Current position: Head of Data Science, Affirm, Inc
  • Bryan Sims (M.S. 2012, UC Merced)
    Thesis: InvestorRank and an inverse problem for PageRank
    Current position: Data Science Manager, Shipt
  • Derek Sollberger (M.S. 2011, UC Merced)
    Capstone: Monte Carlo approaches to hidden Markov model state estimation
    Current position: Continuing Lecturer, Applied Mathematics, UC Merced
  • Dr. Braxton Osting (M. Phil. 2006, Columbia)

Co-Advised Students

  • Dr. Ramin Raziperchikolaei (Ph.D. EECS 2019, UC Merced)
    Dissertation: Block Coordinate Descent Proximal Method for ODE Estimation and Discovery
    Current position: Research Scientist, Rakuten

Undergraduate Research Group Alumni

Sebastian Rodriguez (B.S. 2017)
Juan Bernal (B.S. 2012)
Harsimran Singh (B.S. 2012)
Calvin Heim (B.S. 2011)
Eigenvalues

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