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

profile photo

Posts

Machine Learning Essentials (Jul 2024)


A comprehensive list of resources to build an undergraduate-level foundation in ML, Linear Algebra, AI, and Statistics.

Reading List (Oct 2022)


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.

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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.

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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

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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.

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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

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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).

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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.

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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.

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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).

Design and source code from Jon Barron's website