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20092026
most citedDeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

3.4k citations · 27.2k across the 213 of their papers we have counts for

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Showing 2023Show all

44 papers · 1 filter

math.NA2023★ 2 cited

Analysis of biologically plausible neuron models for regression with spiking neural networks

Mario De Florio, Adar Kahana, George Em Karniadakis

This paper explores the impact of biologically plausible neuron models on the performance of Spiking Neural Networks (SNNs) for regression tasks. While SNNs are widely recognized f…

physics.flu-dyn2023★ 19 cited

Learning thermoacoustic interactions in combustors using a physics-informed neural network

Sathesh Mariappan, Kamaljyoti Nath, George Em Karniadakis

We introduce a physics-informed neural network (PINN) method to study thermoacoustic interactions leading to combustion instability in combustors. Specifically, we employ a PINN to…

physics.comp-ph2023★ 3 cited

AI-Lorenz: A physics-data-driven framework for black-box and gray-box identification of chaotic systems with symbolic regression

Mario De Florio, Ioannis G. Kevrekidis, George Em Karniadakis

Discovering mathematical models that characterize the observed behavior of dynamical systems remains a major challenge, especially for systems in a chaotic regime. The challenge is…

cond-mat.mtrl-sci2023★ 8 cited

Mechanical Characterization and Inverse Design of Stochastic Architected Metamaterials Using Neural Operators

Hanxun Jin, Enrui Zhang, Boyu Zhang +3

Machine learning (ML) is emerging as a transformative tool for the design of architected materials, offering properties that far surpass those achievable through lab-based trial-an…

cs.LG2023★ 2 cited

Rethinking materials simulations: Blending direct numerical simulations with neural operators

Vivek Oommen, Khemraj Shukla, Saaketh Desai +2

Direct numerical simulations (DNS) are accurate but computationally expensive for predicting materials evolution across timescales, due to the complexity of the underlying evolutio…

cs.CL2023★ 1 cited

GPT vs Human for Scientific Reviews: A Dual Source Review on Applications of ChatGPT in Science

Chenxi Wu, Alan John Varghese, Vivek Oommen +1

The new polymath Large Language Models (LLMs) can speed-up greatly scientific reviews, possibly using more unbiased quantitative metrics, facilitating cross-disciplinary connection…