Dhruv Kohli


*at SIAM MDS, Atlanta, 2024.

I am a PhD candidate in Mathematics at UC San Diego.
My research areas are geometric data analysis, manifold learning, spectral graph theory and optimal transport.
My PhD focuses on the following key questions:
  1. How to obtain low distortion low-dimensional local representations of high-dimensional data while accounting for the global geometry of the data manifold.
  2. How to integrate these local representations in an efficient and robust manner to produce a low-distortion global embedding.
  3. How does the distortion incurred in the low-dimensional embedding impacts the performance of the downstream tasks.

My advisors are Alex Cloninger and Gal Mishne.

Publications



Conferences and Presentations


Oct 2024 [Poster] SIAM Conference on Mathematics of Data Science (SIAM MDS), Atlanta.
Sep 2024 [Poster] NSF visit, The Institute for Emerging CORE Methods in Data Science (EnCORE), UC San Diego.
Apr 2024 Chaos, Computation, Analysis and Optimization (CaCAO), Scripps Institute of Oceanography, UC San Diego.
Mar 2024 [Talk] Dagstuhl Seminar on Low-Dimensional Embeddings of High-Dimensional Data: Algorithms and Applications, Wadern, Germany.
Jul 2023 Sampling Theory and Applications Conference (SAMPTA), Yale.
Apr 2023 [Talk] Southern California Applied Mathematics Symposium (SOCAMS) at UC Irvine.
Mar 2023 [Poster] Computational and Systems Neuroscience (COSYNE), Montreal.
Oct 2022 [Poster] Fall Fourier Talks (FFT) at the Norbert Wiener Center, University of Maryland.
Mar 2021 [Poster] SoCal ML and NLP Symposium 2021 at UC San Diego.

Teaching Assistant Experience


DSC 205 UCSD Geoemtry of Data
Math 170AUCSD Numerical Linear Algebra
Math 170BUCSD Numerical Analysis
Math 183UCSD Stochastic Methods
Math 20EUCSD Vector Calculus
Math 11UCSD Calculus Based Probability and Statistics.

Links


Github Profile

Math.StackExchange Profile

CV

Mindthegap: An opensource tracing software that converts bitmaps into vector graphics.

My winning solution for the Nvidia CUDA Coding Challenge India 2014.

Labmates, collaborators and friends (in lexicographic order): Jesse He, Samantha Chen, Sawyer Robertson, Sowmya Manojna, Tristan Brugere.