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Deep Neural Networks Motivated by Partial Differential Equations

12 April 2018

Papers citing "Deep Neural Networks Motivated by Partial Differential Equations"

50 / 244 papers shown

Title
Riemannian Residual Neural Networks Isay Katsman Eric Chen Sidhanth Holalkere Anna Asch Aaron Lou Ser-Nam Lim Christopher De Sa 208 21 0 16 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 841 19 0 08 Oct 2023
A Spectral Approach for Learning Spatiotemporal Neural Differential Equations Mingtao Xia Xiangting Li Qijing Shen Tom Chou 141 0 0 28 Sep 2023
Deep Learning in Deterministic Computational Mechanics L. Herrmann Stefan Kollmannsberger AI4CE PINN 295 1 0 27 Sep 2023
OS-net: Orbitally Stable Neural Networks M. Ngom Carlo Graziani 125 0 0 26 Sep 2023
Anisotropic Diffusion Stencils: From Simple Derivations over Stability Estimates to ResNet Implementations Karl Schrader Joachim Weickert Michael Krause DiffM 180 0 0 11 Sep 2023
Separable Hamiltonian Neural Networks Zi-Yu Khoo Dawen Wu Jonathan Sze Choong Low Stéphane Bressan 296 2 0 03 Sep 2023
A Novel Convolutional Neural Network Architecture with a Continuous SymmetryCAAI International Conference on Artificial Intelligence (ICCAI), 2023 Y. Liu Han-Juan Shao Bing Bai AI4CE 239 3 0 03 Aug 2023
Feature Transportation Improves Graph Neural NetworksAAAI Conference on Artificial Intelligence (AAAI), 2023 Moshe Eliasof E. Haber Eran Treister GNN 269 21 0 29 Jul 2023
PottsMGNet: A Mathematical Explanation of Encoder-Decoder Based Neural NetworksSIAM Journal of Imaging Sciences (JSIS), 2023 X. Tai Hao Liu Raymond H. F. Chan 347 17 0 18 Jul 2023
Inverse Evolution Layers: Physics-informed Regularizers for Deep Neural Networks Chao Liu Zhonghua Qiao Chong Li Carola-Bibiane Schönlieb 205 0 0 14 Jul 2023
Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation using Compact Implicit LayersSIAM Journal on Scientific Computing (SISC), 2023 Bar Lerer Ido Ben-Yair Eran Treister AI4CE 313 7 0 30 Jun 2023
Designing Stable Neural Networks using Convex Analysis and ODEs Ferdia Sherry E. Celledoni Matthias Joachim Ehrhardt Davide Murari B. Owren Carola-Bibiane Schönlieb 280 16 0 29 Jun 2023
Time Regularization in Optimal Time Variable LearningPamm (PAMM), 2023 Evelyn Herberg Roland A. Herzog Frederik Köhne AI4TS AI4CE 83 1 0 28 Jun 2023
Learning Latent Dynamics via Invariant Decomposition and (Spatio-)Temporal Transformers Kai Lagemann C. Lagemann Swarnava Mukherjee 259 2 0 21 Jun 2023
A Note on Dimensionality Reduction in Deep Neural Networks using Empirical Interpolation Method Harbir Antil Madhu Gupta Randy Price 112 2 0 16 May 2023
Analysis of Numerical Integration in RNN-Based Residuals for Fault Diagnosis of Dynamic SystemsIFAC-PapersOnLine (IFAC-PapersOnLine), 2023 Arman Mohammadi Theodor Westny Daniel E. Jung Mattias Krysander 178 9 0 08 May 2023
Predictions Based on Pixel Data: Insights from PDEs and Finite DifferencesJournal of Computational Physics (JCP), 2023 E. Celledoni James Jackaman Davide Murari B. Owren 300 2 0 01 May 2023
Pseudo-Hamiltonian neural networks for learning partial differential equationsJournal of Computational Physics (JCP), 2023 Sølve Eidnes K. Lye 333 13 0 27 Apr 2023
Neural Delay Differential Equations: System Reconstruction and Image ClassificationInternational Conference on Learning Representations (ICLR), 2021 Qunxi Zhu Yao Guo Wei Lin 158 39 0 11 Apr 2023
DRIP: Deep Regularizers for Inverse ProblemsInverse Problems (IP), 2023 Moshe Eliasof E. Haber Eran Treister 311 9 0 30 Mar 2023
GNN-based physics solver for time-independent PDEs R. J. Gladstone H. Rahmani V. Suryakumar Hadi Meidani M. DÉlia A. Zareei AI4CE 129 17 0 28 Mar 2023
Multilevel Diffusion: Infinite Dimensional Score-Based Diffusion Models for Image Generation Paul Hagemann Sophie Mildenberger Lars Ruthotto Gabriele Steidl Ni Yang DiffM 398 32 0 08 Mar 2023
Learning Hamiltonian Systems with Mono-Implicit Runge-Kutta MethodsInternational Conference on Geometric Science of Information (GSI), 2023 Haakon Noren 188 3 0 07 Mar 2023
Efficiency 360: Efficient Vision Transformers Badri N. Patro Vijay Srinivas Agneeswaran 385 7 0 16 Feb 2023
CQnet: convex-geometric interpretation and constraining neural-network trajectories Bas Peters 227 0 0 09 Feb 2023
Learning PDE Solution Operator for Continuous Modeling of Time-Series Yesom Park Jaemoo Choi Changyeon Yoon Changhoon Song Myung-joo Kang AI4TS AI4CE 182 3 0 02 Feb 2023
Modelling Long Range Dependencies in $N$ D: From Task-Specific to a General Purpose CNNInternational Conference on Learning Representations (ICLR), 2023 David M. Knigge David W. Romero Albert Gu E. Gavves Erik J. Bekkers Jakub M. Tomczak Mark Hoogendoorn Jan-Jakob Sonke 3DV 194 28 0 25 Jan 2023
Improved generalization with deep neural operators for engineering systems: Path towards digital twinEngineering applications of artificial intelligence (Eng. Appl. Artif. Intell.), 2023 Kazuma Kobayashi James Daniell S. B. Alam AI4CE 221 40 0 17 Jan 2023
Continuous Depth Recurrent Neural Differential Equations Srinivas Anumasa Geetakrishnasai Gunapati P. K. Srijith AI4TS 141 1 0 28 Dec 2022
Deep Learning Methods for Partial Differential Equations and Related Parameter Identification ProblemsInverse Problems (IP), 2022 Derick Nganyu Tanyu Jianfeng Ning Tom Freudenberg Nick Heilenkötter A. Rademacher U. Iben Peter Maass AI4CE 260 52 0 06 Dec 2022
Moving Frame Net: SE(3)-Equivariant Network for Volumes Mateus Sangalli S. Blusseau Santiago Velasco-Forero Jesús Angulo 201 8 0 07 Nov 2022
FO-PINNs: A First-Order formulation for Physics Informed Neural Networks R. J. Gladstone M. A. Nabian N. Sukumar Ankit Srivastava Hadi Meidani PINN AI4CE 142 0 0 25 Oct 2022
PDEBENCH: An Extensive Benchmark for Scientific Machine LearningNeural Information Processing Systems (NeurIPS), 2022 M. Takamoto T. Praditia Raphael Leiteritz Dan MacKinlay Francesco Alesiani Dirk Pflüger Mathias Niepert AI4CE 574 326 0 13 Oct 2022
Dynamical systems' based neural networks E. Celledoni Davide Murari B. Owren Carola-Bibiane Schönlieb Ferdia Sherry OOD 326 12 0 05 Oct 2022
Neural Generalized Ordinary Differential Equations with Layer-varying ParametersJournal of Data Science (JDS), 2022 Duo Yu Hongyu Miao Hulin Wu 169 5 0 21 Sep 2022
STDEN: Towards Physics-Guided Neural Networks for Traffic Flow PredictionAAAI Conference on Artificial Intelligence (AAAI), 2022 Jiahao Ji Jingyuan Wang Zhe Jiang Jiawei Jiang Hu Zhang DiffM PINN OOD AI4CE 265 99 0 01 Sep 2022
Estimating a potential without the agony of the partition functionSIAM Journal on Mathematics of Data Science (SIMODS), 2022 E. Haber Moshe Eliasof L. Tenorio 237 2 0 19 Aug 2022
Physics-Informed Deep Neural Operator Networks S. Goswami Aniruddha Bora Yue Yu George Karniadakis PINN AI4CE 293 155 0 08 Jul 2022
Zero Stability Well Predicts Performance of Convolutional Neural NetworksAAAI Conference on Artificial Intelligence (AAAI), 2022 Liangming Chen Long Jin Mingsheng Shang MLT 258 8 0 27 Jun 2022
Learning the parameters of a differential equation from its trajectory via the adjoint equationSocial Science Research Network (SSRN), 2022 I. Fekete A. Molnár P. Simon 54 0 0 17 Jun 2022
On the balance between the training time and interpretability of neural ODE for time series modelling Yakov Golovanev A. Hvatov AI4TS 147 2 0 07 Jun 2022
A PDE-based Explanation of Extreme Numerical Sensitivities and Edge of Stability in Training Neural NetworksJournal of machine learning research (JMLR), 2022 Yuxin Sun Dong Lao G. Sundaramoorthi A. Yezzi 409 2 0 04 Jun 2022
A memory-efficient neural ODE framework based on high-level adjoint differentiationIEEE Transactions on Artificial Intelligence (IEEE TAI), 2022 Hong Zhang Wenjun Zhao 170 5 0 02 Jun 2022
Bayesian Learning to Discover Mathematical Operations in Governing Equations of Dynamic Systems Hongpeng Zhou W. Pan 129 6 0 01 Jun 2022
Do Residual Neural Networks discretize Neural Ordinary Differential Equations?Neural Information Processing Systems (NeurIPS), 2022 Michael E. Sander Pierre Ablin Gabriel Peyré 246 34 0 29 May 2022
Multi-resolution partial differential equations preserved learning framework for spatiotemporal dynamicsCommunications Physics (Commun. Phys.), 2022 Xin-Yang Liu Min Zhu Lu Lu Hao Sun Jian-Xun Wang PINN AI4CE 245 70 0 09 May 2022
An Optimal Time Variable Learning Framework for Deep Neural NetworksAnnals of Mathematical Sciences and Applications (AMSA), 2022 Harbir Antil Hugo Díaz Evelyn Herberg 100 4 0 18 Apr 2022
Learning time-dependent PDE solver using Message Passing Graph Neural Networks Pourya Pilva A. Zareei AI4CE 123 11 0 15 Apr 2022
ODE Transformer: An Ordinary Differential Equation-Inspired Model for Sequence GenerationAnnual Meeting of the Association for Computational Linguistics (ACL), 2022 Bei Li Quan Du Tao Zhou Yi Jing Shuhan Zhou Xin Zeng Tong Xiao JingBo Zhu Xuebo Liu Min Zhang 189 40 0 17 Mar 2022