Research Interests (Brief Summary)

Inverse problems and ill-posed problems: theory/resolution analysis and algorithms e.g. inverse scattering problems, electrical impedance tomography, diffusive optical tomography, etc

Hamilton-Jacobi Equations, optimal control, dynamics of the nonlinear system, solution in the mean field
e.g. Hopf-Lax solution, numerical methods to overcome the curse of dimensionality, etc

Optimization algorithms: theory and applications
e.g. coordinate descent/update algorithms, decentralized optimization over network, etc