A Neural Operator-Based Emulator for Regional Shallow Water Dynamics

Authors: Rivera-Casillas, Peter, Dutta, Sourav, Cai, Shukai, Loveland, Mark, Nath, Kamaljyoti, Shukla, Khemraj, Trahan, Corey, Lee, Jonghyun, Farthing, Matthew, Dawson, Clint

Subject Terms: Computer Science - Computational Engineering, Finance, and Science, Computer Science - Machine Learning, Physics - Computational Physics, Physics - Geophysics

Access URL: http://arxiv.org/abs/2502.14782

Which Optimizer Works Best for Physics-Informed Neural Networks and Kolmogorov-Arnold Networks?

Authors: Kiyani, Elham, Shukla, Khemraj, Urbán, Jorge F., Darbon, Jérôme, Karniadakis, George Em

Subject Terms: Computer Science - Machine Learning, Computer Science - Artificial Intelligence, Mathematics - Optimization and Control

Access URL: http://arxiv.org/abs/2501.16371

High-Fidelity Description of Platelet Deformation Using a Neural Operator

Authors: Laudato, Marco, Manzari, Luca, Shukla, Khemraj

Subject Terms: Physics - Computational Physics

Access URL: http://arxiv.org/abs/2412.00747

Complex Valued Deep Operator Network (DeepONet) $[\mathcal{G}]$ for Three Dimensional Maxwell's Equations: $\mathcal{G} \in \mathbb{C}^{m \times n}$

Authors: Jiang, Qile, Salvadori, Marc, Ota, Dale, Shankar, Vijaya, Shukla, Khemraj

Subject Terms: Physics - Computational Physics

Access URL: http://arxiv.org/abs/2411.18733

NeuroSEM: A hybrid framework for simulating multiphysics problems by coupling PINNs and spectral elements

Authors: Shukla, Khemraj, Zou, Zongren, Chan, Chi Hin, Pandey, Additi, Wang, Zhicheng, Karniadakis, George Em

Subject Terms: Computer Science - Machine Learning, Physics - Fluid Dynamics

Access URL: http://arxiv.org/abs/2407.21217

A comprehensive and FAIR comparison between MLP and KAN representations for differential equations and operator networks

Authors: Shukla, Khemraj, Toscano, Juan Diego, Wang, Zhicheng, Zou, Zongren, Karniadakis, George Em

Subject Terms: Computer Science - Machine Learning, Physics - Computational Physics

Access URL: http://arxiv.org/abs/2406.02917

Deep operator learning-based surrogate models for aerothermodynamic analysis of AEDC hypersonic waverider

Authors: Shukla, Khemraj, Ratchford, Jasmine, Bravo, Luis, Oommen, Vivek, Plewacki, Nicholas, Ghoshal, Anindya, Karniadakis, George

Subject Terms: Physics - Fluid Dynamics

Access URL: http://arxiv.org/abs/2405.13234

Rethinking materials simulations: Blending direct numerical simulations with neural operators

Authors: Oommen, Vivek, Shukla, Khemraj, Desai, Saaketh, Dingreville, Remi, Karniadakis, George Em

Subject Terms: Computer Science - Machine Learning, Physics - Computational Physics

Access URL: http://arxiv.org/abs/2312.05410

Randomized Forward Mode of Automatic Differentiation For Optimization Algorithms

Authors: Shukla, Khemraj, Shin, Yeonjong

Subject Terms: Mathematics - Optimization and Control, Computer Science - Artificial Intelligence, Computer Science - Machine Learning, 65K05, 65B99, 65Y20

Access URL: http://arxiv.org/abs/2310.14168

AI-Aristotle: A Physics-Informed framework for Systems Biology Gray-Box Identification

Authors: Daryakenari, Nazanin Ahmadi, De Florio, Mario, Shukla, Khemraj, Karniadakis, George Em

Subject Terms: Quantitative Biology - Quantitative Methods, Computer Science - Artificial Intelligence, Computer Science - Machine Learning, 37N25 (Primary), 34-04 (Secondary), G.1.7, I.2.0

Access URL: http://arxiv.org/abs/2310.01433

Tackling the Curse of Dimensionality with Physics-Informed Neural Networks

Authors: Hu, Zheyuan, Shukla, Khemraj, Karniadakis, George Em, Kawaguchi, Kenji

Source: Neural Networks, Volume 176, 2024, 106369, ISSN 0893-6080

Subject Terms: Computer Science - Machine Learning, Computer Science - Artificial Intelligence, Mathematics - Dynamical Systems, Mathematics - Numerical Analysis, Statistics - Machine Learning, 14J60, F.2.2, I.2.7

Access URL: http://arxiv.org/abs/2307.12306

High order entropy stable schemes for the quasi-one-dimensional shallow water and compressible Euler equations

Authors: Chan, Jesse, Shukla, Khemraj, Wu, Xinhui, Liu, Ruofeng, Nalluri, Prani

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2307.12089

Characterization of partial wetting by CMAS droplets using multiphase many-body dissipative particle dynamics and data-driven discovery based on PINNs

Authors: Kiyani, Elham, Kooshkbaghi, Mahdi, Shukla, Khemraj, Koneru, Rahul Babu, Li, Zhen, Bravo, Luis, Ghoshal, Anindya, Karniadakis, George Em, Karttunen, Mikko

Subject Terms: Physics - Fluid Dynamics, Computer Science - Machine Learning

Access URL: http://arxiv.org/abs/2307.09142

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MyCrunchGPT: A chatGPT assisted framework for scientific machine learning

Authors: Kumar, Varun, Gleyzer, Leonard, Kahana, Adar, Shukla, Khemraj, Karniadakis, George Em

Subject Terms: Computer Science - Machine Learning, Computer Science - Computation and Language, Physics - Physics and Society

Access URL: http://arxiv.org/abs/2306.15551

A Framework Based on Symbolic Regression Coupled with eXtended Physics-Informed Neural Networks for Gray-Box Learning of Equations of Motion from Data

Authors: Kiyani, Elham, Shukla, Khemraj, Karniadakis, George Em, Karttunen, Mikko

Subject Terms: Condensed Matter - Disordered Systems and Neural Networks, Computer Science - Machine Learning

Access URL: http://arxiv.org/abs/2305.10706

Learning bias corrections for climate models using deep neural operators

Authors: Bora, Aniruddha, Shukla, Khemraj, Zhang, Shixuan, Harrop, Bryce, Leung, Ruby, Karniadakis, George Em

Subject Terms: Physics - Atmospheric and Oceanic Physics, Computer Science - Artificial Intelligence, Physics - Computational Physics

Access URL: http://arxiv.org/abs/2302.03173

Deep neural operators can serve as accurate surrogates for shape optimization: A case study for airfoils

Authors: Shukla, Khemraj, Oommen, Vivek, Peyvan, Ahmad, Penwarden, Michael, Bravo, Luis, Ghoshal, Anindya, Kirby, Robert M., Karniadakis, George Em

Subject Terms: Physics - Fluid Dynamics, Computer Science - Artificial Intelligence, Mathematics - Optimization and Control

Access URL: http://arxiv.org/abs/2302.00807

High-Order Methods for Hypersonic Flows with Strong Shocks and Real Chemistry

Authors: Peyvan, Ahmad, Shukla, Khemraj, Chan, Jesse, Karniadakis, George

Subject Terms: Physics - Fluid Dynamics, Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2211.12635

Scalable algorithms for physics-informed neural and graph networks

Authors: Shukla, Khemraj, Xu, Mengjia, Trask, Nathaniel, Karniadakis, George Em

Subject Terms: Computer Science - Machine Learning, Computer Science - Artificial Intelligence, Computer Science - Distributed, Parallel, and Cluster Computing, Mathematics - Analysis of PDEs, Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2205.08332