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.

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.

Neural Implicit Energy Optimization for LiDAR Mapping

Neural Implicit Energy Optimization for LiDAR Mapping


Hrishikesh Viswanath, Md Ashiqur Rahman, Chi Lin, Damon Conover, Aniket Bera
IEEE/CVF Winter Conference on Applications of Computer Vision (WACV), 2026
project page code

LiDAR mapping as energy optimization over the curvature of a neural signed distance field

Neural Operator: Is data all you need to model the world? An insight into the paradigm of data-driven scientific ML

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 Intelligence, 2026
project page paper

A survey of advances and challenges in data-driven Scientific ML

Operator Learning Using Weak Supervision from Walk-on-Spheres

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

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
project page arxiv code

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

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

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

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
patent

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

Graph-based decentralized task allocation for multi-robot target localization


Juntong Peng, Hrishikesh Viswanath, Aniket Bera
IEEE Robotics and Automation Letters, 2024
project page 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

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
project page 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

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