Hrishikesh Viswanath
I am a PhD student at Purdue University, advised by Aniket Bera. My overarching goal is to bridge physical modeling and scalable surrogate models, with a focus in robotics and reinforcement learning (RL).
I am broadly interested in scalable models for physics and their potential applications in robotics. A core problem driving my research is how to effectively integrate Partial Differential Equation (PDE) formulations and generative priors to provide geometric structure and stabilize continuous control and RL policies.
At a foundational level, I want to address the challenge of learning high-fidelity dynamics in sparse data regimes. My work relies on two core pillars: efficient modeling techniques like model-order reduction, and scalable learning strategies such as lightweight physics-informed learning, leveraging alternatives to autodiff residuals such as Monte-Carlo methods (Walk-on-Spheres).
Outside the lab, I was the 2024 Vice President of Purdue SEARCH. I mentored our NASA SUITS team to the competition finals, earning a NASA Artemis I mission flag that flew around the moon.
Email /
CV /
Scholar /
Github
|
|
Posts
A comprehensive list of resources to build an undergraduate-level foundation in ML, Linear Algebra, AI, and Statistics.
A curated collection of papers, books, and resources related to my core research interests.
|
Research
I'm interested in robotics, reinforcement learning, operator learning and PINN.
|
|
Neural Operator: Is data all you need to model the world? An insight into the paradigm of data-driven scientific ML
Hrishikesh Viswanath, Md Ashiqur Rahman, Abhijeet Vyas, Andrey Shor, Beatriz Medeiros, Stephanie Hernandez, Suhas Eswarappa Prameela, Aniket Bera
IEEE Transactions on Pattern Analysis and Machine Inteligence, 2026
arxiv /
A survey of advances and challenges in data-driven Scientific ML
|
|
Operator Learning Using Weak Supervision from Walk-on-Spheres
Hrishikesh Viswanath*, Hong Chul Nam*, Julius Berner, Anima Anandkumar, Aniket Bera
Arxiv, 2026
arxiv /
code /
A mesh-free training scheme that amortizes the cost of Monte Carlo walks by using the Walk-on-Spheres algorithm to provide cheap, unbiased stochastic supervision for neural operators.
|
|
Learning Lagrangian Interaction Dynamics with Sampling-Based Model Order Reduction
Hrishikesh Viswanath, Yue Chang, Aleksey Panas, Julius Berner, Peter Yichen Chen, Aniket Bera
Transactions on Machine Learning Research, 2026
arxiv /
code /
website /
A sampling-based framework that evolves Lagrangian systems directly in physical space using data-driven neural PDE operators and learnable kernel ROM parameterization
|
|
Physics Informed Viscous Value Representations
Hrishikesh Viswanath, Juanwu Lu, S. Talha Bukhari, Damon Conover, Ziran Wang, Aniket Bera
Arxiv, 2026
arxiv /
code /
We introduce a physics-informed regularization for offline GCRL derived from the Hamilton-Jacobi-Bellman (HJB) equation’s viscosity solution. By applying the Feynman-Kac theorem, we recast value estimation as a stable Monte Carlo expectation, ensuring geometric consistency and superior performance in high-dimensional navigation and manipulation tasks.
|
|
Gradient-Free Physics-informed Operator Learning using Walk-on-Spheres
Hrishikesh Viswanath*, Hong Chul Nam*, Julius Berner, Anima Anandkumar, Aniket Bera
NeurIPS 2025 AI for Science Workshop, 2025
arxiv /
A PINO technique for training operators using Monte-Carlo Walk-on-Spheres
|
|
Physics-informed adaptive fourier neural interpolation operator for synthetic frame generation
Hrishikesh Viswanath*, Md Ashiqur Rahman, Rashmi Bhaskara, Aniket Bera
US Patent App. 18/758,927, 2025
We introduce a resolution-independent neural operator architecture for synthetic frame generation that leverages global convolutions in the Fourier spectral domain via Fast Fourier Transform (FFT).
|
|
Graph-based decentralized task allocation for multi-robot target localization
Juntong Peng, Hrishikesh Viswanath, Aniket Bera
IEEE Robotics and Automation Letters, 2024
arxiv /
code /
A decentralized graph neural operator approach for robust and scalable task allocation in heterogeneous UGV-UAV teams.
|
|
Trajectory prediction for robot navigation using flow-guided markov neural operator
Rashmi Bhaskara*, Hrishikesh Viswanath*, Aniket Bera
2024 IEEE International Conference on Robotics and Automation (ICRA), 2024
arxiv /
An Optical Flow-Integrated Markov Neural Operator that models pedestrian trajectory prediction as a Markovian process, eliminating the need for historical state storage.
|
|
FairPy: A Toolkit for Evaluation of Prediction Biases and their Mitigation in Large Language Models
Hrishikesh Viswanath, Tianyi Zhang
Arxiv, 2023
arxiv /
code /
We present a comprehensive survey and a modular toolkit of mathematical frameworks for quantifying and mitigating prediction bias in Large Language Models (LLMs).
|
Selected Coursework
- 53100: Computational Geometry (Au)
- 57100: Artificial Intelligence
- 57800: Statistical Machine Learning
- 58400: Theory of Computation / Complexity (Au)
- 58500: Theoretical CS Toolkit (Au)
- 58800: Randomized Algorithms
- 59200: Interpretability in ML
- 59200: Motion Planning
- 61500: Numerical Methods for PDEs I (Au)
|
Reviewing
2026: ICLR, ICML, RA-L
2025: SIGGRAPH ASIA
2024: ICLR 2025, IROS
|
Mentorship & Leadership
| 2024 |
Space and Earth Analogs Research Chapter at Purdue
Vice President & Administrative Lead
|
| 2024 |
Astro-USA initiative
Involved in fundraising and planning for a student led analog habitat facility.
|
| 2024 |
NASA SUITS
Mentored team JARVIS for the on-site round of the NASA SUITS competition.
|
| 2024 |
ARTEMIS
Mentored undergraduate students at IDEAS lab for the Purdue Undergraduate Research Conference.
|
| 2023 |
RASC-AL
Mentored an undergraduate team for the NASA RASC-AL challenge.
|
|
Open Source Contributions
-
Fairpy:
A Python toolkit for measuring and mitigating biases in LLMs. Supports WEAT, StereoSet, and NullSpace Projection.
-
MPM-Verse:
A large-scale physics simulation dataset for learning MPM-based dynamics (water, sand, plasticine, jelly).
|
|