I’m Shashank and I am a fourth-year PhD student in the Applied Mathematics, Applied Statistics and Scientific Computation program at the University of Maryland, College Park. I am jointly advised by Dr. Wojciech Czaja and Dr. Maria Cameron. I am interested in applied harmonic analysis, machine learning, and spectral graph theory with applications to rare event modeling in molecular dynamics and inverse problems in MRI. Before Maryland, I graduated from Amherst College with a degree in mathematics.
New preprintposted on 25 Dec 2023
‘Tis the season to drop preprints! My work titled Sharp error estimates for target measure diffusion maps with applications to the committor problem with Dr. Maria Cameron and Luke Evans is submitted and up on arXiv. This paper is about leveraging the approximation theory of diffusion maps to gain concrete speedups in accuracy for applications in molecular dynamics.
Diffusion models workshop!posted on 8 Dec 2023
I attended the Measure Transport, Diffusion Processes and Sampling Workshop at the Flatiron Institute! My poster featured new results on Target Measure Diffusion Maps (TMDmap), including a stability estimate for Dirichlet BVPs using TMDmaps and an application to machine learning-based rare event quantification in the butane molecule.
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