PDEBENCH: An Extensive Benchmark for Scientific Machine Learning

13 October 2022

Papers citing "PDEBENCH: An Extensive Benchmark for Scientific Machine Learning"

31 / 31 papers shown

Title
CodePDE: An Inference Framework for LLM-driven PDE Solver Generation Shanda Li Tanya Marwah Junhong Shen W. Sun Andrej Risteski Yiming Yang Ameet Talwalkar AI4CE 17 0 0 13 May 2025
DISCO: learning to DISCover an evolution Operator for multi-physics-agnostic prediction Rudy Morel Jiequn Han Edouard Oyallon AI4CE 51 0 0 28 Apr 2025
Verification and Validation for Trustworthy Scientific Machine Learning John D. Jakeman Lorena A. Barba J. Martins Thomas O'Leary-Roseberry AI4CE 56 0 0 21 Feb 2025
MultiPDENet: PDE-embedded Learning with Multi-time-stepping for Accelerated Flow Simulation Qi Wang Yuan Mi H. Wang Yi Zhang Ruizhi Chengze Hongsheng Liu J. Wen Hao Sun AI4CE 35 0 0 28 Jan 2025
A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Sumanth Kumar Boya Deepak Subramani AI4CE 94 0 0 12 Dec 2024
Elucidating the Design Choice of Probability Paths in Flow Matching for Forecasting S. H. Lim Yijin Wang Annan Yu Emma Hart Michael W. Mahoney Xiaoye S. Li N. Benjamin Erichson AI4TS 42 1 0 04 Oct 2024
Mamba Neural Operator: Who Wins? Transformers vs. State-Space Models for PDEs Chun-Wun Cheng Jiahao Huang Yi Zhang Guang Yang Carola-Bibiane Schonlieb Angelica I Aviles-Rivero Mamba AI4CE 77 2 0 03 Oct 2024
Explain Like I'm Five: Using LLMs to Improve PDE Surrogate Models with Text Cooper Lorsung Amir Barati Farimani AI4CE 58 1 0 02 Oct 2024
Zero-shot forecasting of chaotic systems Yuanzhao Zhang William Gilpin AI4TS 37 4 0 24 Sep 2024
PROSE-FD: A Multimodal PDE Foundation Model for Learning Multiple Operators for Forecasting Fluid Dynamics Yuxuan Liu Jingmin Sun Xinjie He Griffin Pinney Zecheng Zhang Hayden Schaeffer AI4CE 30 5 0 15 Sep 2024
Generating Physical Dynamics under Priors Zihan Zhou Xiaoxue Wang Tianshu Yu DiffM AI4CE 50 0 0 01 Sep 2024
A domain decomposition-based autoregressive deep learning model for unsteady and nonlinear partial differential equations Sheel Nidhan Haoliang Jiang Lalit Ghule C. Umphrey Rishikesh Ranade Jay Pathak AI4CE 34 0 0 26 Aug 2024
Active Learning for Neural PDE Solvers Daniel Musekamp Marimuthu Kalimuthu David Holzmüller Makoto Takamoto Carlos Fernandez AI4CE 41 4 0 02 Aug 2024
KAN: Kolmogorov-Arnold Networks Ziming Liu Yixuan Wang Sachin Vaidya Fabian Ruehle James Halverson Marin Soljacic Thomas Y. Hou Max Tegmark 67 444 0 30 Apr 2024
DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training Zhongkai Hao Chang Su Songming Liu Julius Berner Chengyang Ying Hang Su A. Anandkumar Jian Song Jun Zhu AI4TS AI4CE 22 20 0 06 Mar 2024
Universal Physics Transformers: A Framework For Efficiently Scaling Neural Operators Benedikt Alkin Andreas Fürst Simon Schmid Lukas Gruber Markus Holzleitner Johannes Brandstetter PINN AI4CE 35 8 0 19 Feb 2024
Invertible Fourier Neural Operators for Tackling Both Forward and Inverse Problems Da Long Zhitong Xu Qiwei Yuan Yin Yang Shandian Zhe AI4CE 64 5 0 18 Feb 2024
Deciphering and integrating invariants for neural operator learning with various physical mechanisms Rui Zhang Qi Meng Zhi-Ming Ma AI4CE 21 7 0 24 Nov 2023
Learning to Predict Structural Vibrations J. V. Delden Julius Schultz Christopher Blech Sabine C. Langer Timo Luddecke AI4CE 16 1 0 09 Oct 2023
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for Machine Learning and Process-based Hydrology Qingsong Xu Yilei Shi Jonathan Bamber Ye Tuo Ralf Ludwig Xiao Xiang Zhu AI4CE 18 9 0 08 Oct 2023
LagrangeBench: A Lagrangian Fluid Mechanics Benchmarking Suite Stefania Costantini Gianluca Galletti Fabian Fritz Stefan Adami Nikolaus A. Adams 30 13 0 28 Sep 2023
Efficient Neural PDE-Solvers using Quantization Aware Training W.V.S.O. van den Dool Tijmen Blankevoort Max Welling Yuki M. Asano MQ 25 3 0 14 Aug 2023
Auxiliary-Tasks Learning for Physics-Informed Neural Network-Based Partial Differential Equations Solving Junjun Yan Xinhai Chen Zhichao Wang Enqiang Zhou Jie Liu PINN AI4CE 19 1 0 12 Jul 2023
SuperBench: A Super-Resolution Benchmark Dataset for Scientific Machine Learning Pu Ren N. Benjamin Erichson Shashank Subramanian Omer San Z. Lukić Michael W. Mahoney Michael W. Mahoney 34 13 0 24 Jun 2023
Physics Informed Token Transformer for Solving Partial Differential Equations Cooper Lorsung Zijie Li Amir Barati Farimani AI4CE 16 15 0 15 May 2023
SimbaML: Connecting Mechanistic Models and Machine Learning with Augmented Data Maixmilian Kleissl Lukas Drews Benedict Heyder Julian Zabbarov Pascal Iversen Simon Witzke B. Renard Katharina Baum AI4CE 16 3 0 08 Apr 2023
Machine Learning for Partial Differential Equations Steven L. Brunton J. Nathan Kutz AI4CE 14 19 0 30 Mar 2023
CONFIDE: Contextual Finite Differences Modelling of PDEs Ori Linial Orly Avner Dotan Di Castro 19 0 0 28 Mar 2023
Simulation Intelligence: Towards a New Generation of Scientific Methods Alexander Lavin D. Krakauer Hector Zenil Justin Emile Gottschlich Tim Mattson ... A. Hanuka Manuela Veloso Samuel A. Assefa Stephan Zheng Avi Pfeffer 40 102 0 06 Dec 2021
$NVIDIA SimNet^{TM}: an AI-accelerated multi-physics simulation framework$ NVIDIA SimNet^{TM}: an AI-accelerated multi-physics simulation framework O. Hennigh S. Narasimhan M. A. Nabian Akshay Subramaniam Kaustubh Tangsali M. Rietmann J. Ferrandis Wonmin Byeon Z. Fang S. Choudhry PINN AI4CE 85 112 0 14 Dec 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 203 2,254 0 18 Oct 2020