From Equations to Insights: Unraveling Symbolic Structures in PDEs with LLMs

From Equations to Insights: Unraveling Symbolic Structures in PDEs with LLMs

13 March 2025

Rohan Bhatnagar

Papers citing "From Equations to Insights: Unraveling Symbolic Structures in PDEs with LLMs"

19 / 19 papers shown

Title
Solving High-Dimensional Partial Integral Differential Equations: The Finite Expression Method Gareth Hardwick Senwei Liang Haizhao Yang 44 1 0 01 Oct 2024
On the Stochastic (Variance-Reduced) Proximal Gradient Method for Regularized Expected Reward Optimization Ling Liang Haizhao Yang 35 1 0 23 Jan 2024
A Finite Expression Method for Solving High-Dimensional Committor Problems Zezheng Song M. Cameron Haizhao Yang 28 6 0 21 Jun 2023
Finite Expression Method for Solving High-Dimensional Partial Differential Equations Senwei Liang Haizhao Yang 52 19 0 21 Jun 2022
Deep Network Approximation: Achieving Arbitrary Accuracy with Fixed Number of Neurons Zuowei Shen Haizhao Yang Shijun Zhang 90 36 0 06 Jul 2021
Neural Network Approximation: Three Hidden Layers Are Enough Zuowei Shen Haizhao Yang Shijun Zhang 58 117 0 25 Oct 2020
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 455 2,384 0 18 Oct 2020
Deep neural network approximation for high-dimensional elliptic PDEs with boundary conditions Philipp Grohs L. Herrmann 61 53 0 10 Jul 2020
Solving high-dimensional eigenvalue problems using deep neural networks: A diffusion Monte Carlo like approach Jiequn Han Jianfeng Lu Mo Zhou DiffM 68 87 0 07 Feb 2020
BART: Denoising Sequence-to-Sequence Pre-training for Natural Language Generation, Translation, and Comprehension M. Lewis Yinhan Liu Naman Goyal Marjan Ghazvininejad Abdel-rahman Mohamed Omer Levy Veselin Stoyanov Luke Zettlemoyer AIMat VLM 209 10,792 0 29 Oct 2019
Exploring the Limits of Transfer Learning with a Unified Text-to-Text Transformer Colin Raffel Noam M. Shazeer Adam Roberts Katherine Lee Sharan Narang Michael Matena Yanqi Zhou Wei Li Peter J. Liu AIMat 369 20,053 0 23 Oct 2019
Physics-Constrained Deep Learning for High-dimensional Surrogate Modeling and Uncertainty Quantification without Labeled Data Yinhao Zhu N. Zabaras P. Koutsourelakis P. Perdikaris PINN AI4CE 86 866 0 18 Jan 2019
A unified deep artificial neural network approach to partial differential equations in complex geometries Jens Berg K. Nystrom AI4CE 58 586 0 17 Nov 2017
A systematic study of the class imbalance problem in convolutional neural networks Mateusz Buda A. Maki Maciej A. Mazurowski 189 2,352 0 15 Oct 2017
The Deep Ritz method: A deep learning-based numerical algorithm for solving variational problems E. Weinan Ting Yu 115 1,380 0 30 Sep 2017
DGM: A deep learning algorithm for solving partial differential equations Justin A. Sirignano K. Spiliopoulos AI4CE 84 2,059 0 24 Aug 2017
The Loss Surfaces of Multilayer Networks A. Choromańska Mikael Henaff Michaël Mathieu Gerard Ben Arous Yann LeCun ODL 251 1,196 0 30 Nov 2014
Identifying and attacking the saddle point problem in high-dimensional non-convex optimization Yann N. Dauphin Razvan Pascanu Çağlar Gülçehre Kyunghyun Cho Surya Ganguli Yoshua Bengio ODL 123 1,384 0 10 Jun 2014
Intriguing properties of neural networks Christian Szegedy Wojciech Zaremba Ilya Sutskever Joan Bruna D. Erhan Ian Goodfellow Rob Fergus AAML 239 14,893 1 21 Dec 2013