A Trust Region Method for the Optimization of Noisy Functions .
Proposed and implemented a new trust region algorithm under noise; proved for global convergence.
I obtained my PhD in Applied Mathematics under the supervision of National Academy of Engineering member, Prof. Jorge Nocedal in 2024.
I graduated in 2024 and joined The D.E.Shaw Group as a Quant Analyst upon graduation.
- I graduated in 2024 and joined the D.E.Shaw group as a Quant Analyst upon graduation.
- Thanks for visiting.
Proposed and implemented a new trust region algorithm under noise; proved for global convergence.
Implemented a stochastic line search algorithm for training of deep neural networks under PyTorch.
Implemented SGD, ADAM, AdaGrad and SVRG on Gisette data using logistic regression. Performed scale-invariant analysis.
Produced a large Chebyshev spetral 2-D numerical PDE solver for a fluid mechanics model in biophysics. Derived a conservation law, performed stablity analysis.
Programmed finite difference and fourier spectral PDE solvers for solving a Phase-Field reaction-diffusion equation. Demonstrated various emergent phenomena.
Modeled and analyzed the causality between interbank swap rates LIBOR, SHIBOR and MosPrime using a novel wavalet analysis approach.