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About me: I am a Ph.D. student in the Mechanical Science and Engineering department at the University of Illinois at Urbana-Champaign. My advisor is Prof. Prashant Mehta. I am in the Decision and Control group in the Coordinated Science Laboratory (CSL). You can find me here almost always.

I am looking for postdoctoral positions

My google scholar

My resume

My research: My research is mainly about the Feedback Particle Filter (FPF). FPF is an algorithm to numerically solve the nonlinear filtering problem. It is the generalization of the Kalman Filter to nonlinear systems [J1]. The main challenge in implementing FPF is to approximate the gain function. The existing algorithms depended on the choice of basis functions and did not have any error guarantees. I developed a basis-free algorithm with provable error estimates [C3, C5]. I also made a connection between the FPF algorithm and the optimal transportation theory [C7].

In a collaboration with my labmate Chi Zhang, we developed a mean-field optimal control approach for global optimization [J3]. We also extended the FPF algorithm to the Lie groups for attitude estimation problems [ J1, C4, C6, C8].

On a separate topic, I analyzed the optimization problem in linear neural networks and characterized the critical points using tools from optimal control theory [C2].

Miscellaneous: