activity
20242026
most citedSynergistic Learning with Multi-Task DeepONet for Efficient PDE Problem Solving

28 citations · 38 across the 5 of their papers we have counts for

collaborators

5 papers

cs.AI2026

Agentic Risk-Aware Set-Based Engineering Design

Varun Kumar, George Em Karniadakis

This paper introduces a multi-agent framework guided by Large Language Models (LLMs) to assist in the early stages of engineering design, a phase often characterized by vast parame…

cs.AI2025

Toward Autonomous Engineering Design: A Knowledge-Guided Multi-Agent Framework

Varun Kumar, George Em Karniadakis

The engineering design process often demands expertise from multiple domains, leading to complex collaborations and iterative refinements. Traditional methods can be resource-inten…

cs.LG2025

Learning Nonlinear Responses in PET Bottle Buckling with a Hybrid DeepONet-Transolver Framework

Varun Kumar, Jing Bi, Cyril Ngo Ngoc +2

Neural surrogates and operator networks for solving partial differential equation (PDE) problems have attracted significant research interest in recent years. However, most existin…

cs.LG2024★ 10 cited

A Digital Twin for Diesel Engines: Operator-infused Physics-Informed Neural Networks with Transfer Learning for Engine Health Monitoring

Kamaljyoti Nath, Varun Kumar, Daniel J. Smith +1

Improving diesel engine efficiency, reducing emissions, and enabling robust health monitoring have been critical research topics in engine modelling. While recent advancements in t…

cs.LG2024★ 28 cited

Synergistic Learning with Multi-Task DeepONet for Efficient PDE Problem Solving

Varun Kumar, Somdatta Goswami, Katiana Kontolati +2

Multi-task learning (MTL) is an inductive transfer mechanism designed to leverage useful information from multiple tasks to improve generalization performance compared to single-ta…