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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
Reversing Large Language Models for Efficient Training and Fine-Tuning Eshed Gal Moshe Eliasof Javier S. Turek Uri M. Ascher Eran Treister Eldad Haber 28 0 0 27 Nov 2025
Mixed Precision Training of Neural ODEs E. Celledoni B. Owren Lars Ruthotto Tianjiao Nicole Yang 96 1 0 27 Oct 2025
Deep Neural ODE Operator Networks for PDEs Ziqian Li Kang Liu Yongcun Song Hangrui Yue Enrique Zuazua AI4CE 149 0 0 17 Oct 2025
Neural Network approximation power on homogeneous and heterogeneous reaction-diffusion equations Haotian Feng 76 0 0 15 Oct 2025
Stability of Transformers under Layer Normalization Kelvin Kan Xingjian Li Benjamin J. Zhang Tuhin Sahai Stanley Osher Krishna Kumar Markos A. Katsoulakis 101 1 0 10 Oct 2025
Deep Neural Networks Inspired by Differential Equations Y. Liu Lianfang Wang Kuilin Qin Qinghua Zhang Faqiang Wang Li-min Cui Jun Liu Yuping Duan T. Zeng AI4TS AI4CE 186 0 0 09 Oct 2025
A Mathematical Explanation of Transformers for Large Language Models and GPTs X. Tai Hao Liu Lingfeng Li Raymond H. F. Chan AI4CE 146 1 0 05 Oct 2025
Mathematical Modeling and Convergence Analysis of Deep Neural Networks with Dense Layer Connectivities in Deep Learning Jinshu Huang Haibin Su Xue-Cheng Tai Chunlin Wu AI4CE 101 0 0 02 Oct 2025
VNODE: A Piecewise Continuous Volterra Neural Network Siddharth Roheda Aniruddha Bala Rohit Chowdhury Rohan Jaiswal 148 0 0 29 Sep 2025
SoC-DT: Standard-of-Care Aligned Digital Twins for Patient-Specific Tumor Dynamics Moinak Bhattacharya Gagandeep Singh Prateek Prasanna 140 0 0 29 Sep 2025
A Neural ODE Approach to Aircraft Flight Dynamics Modelling Gabriel Jarry Ramon Dalmau Xavier Olive Philippe Very AI4CE 61 1 0 27 Sep 2025
Wavy Transformer Satoshi Noguchi Yoshinobu Kawahara 118 0 0 18 Aug 2025
TANGO: Graph Neural Dynamics via Learned Energy and Tangential Flows Moshe Eliasof E. Haber Carola-Bibiane Schönlieb 112 0 0 07 Aug 2025
Numerical PDE solvers outperform neural PDE solvers Patrick Chatain Michael Rizvi-Martel Guillaume Rabusseau Adam Oberman AI4CE 129 1 0 28 Jul 2025
ASNN: Learning to Suggest Neural Architectures from Performance Distributions Jinwook Hong 60 0 0 27 Jul 2025
Multi-Level Monte Carlo Training of Neural Operators James Rowbottom Stefania Fresca Pietro Lio Carola-Bibiane Schönlieb Nicolas Boullé AI4CE 358 2 0 19 May 2025
Optimal Control for Transformer Architectures: Enhancing Generalization, Robustness and Efficiency Kelvin Kan Xingjian Li Benjamin J. Zhang Tuhin Sahai Stanley Osher Markos A. Katsoulakis 220 0 0 16 May 2025
Geometric Fault-Tolerant Neural Network Tracking Control of Unknown Systems on Matrix Lie Groups Robin Chhabra Farzaneh Abdollahi 279 0 0 07 May 2025
Monotone Peridynamic Neural Operator for Nonlinear Material Modeling with Conditionally Unique Solutions Jihong Wang Xiaochuan Tian Zhongqiang Zhang Stewart Silling S. Jafarzadeh Yue Yu 329 2 0 02 May 2025
DISCO: learning to DISCover an evolution Operator for multi-physics-agnostic prediction Rudy Morel Jiequn Han Edouard Oyallon AI4CE 265 6 0 28 Apr 2025
Flowing Through Layers: A Continuous Dynamical Systems Perspective on Transformers Jacob Fein-Ashley AI4CE 333 2 0 08 Feb 2025
OT-Transformer: A Continuous-time Transformer Architecture with Optimal Transport Regularization Kelvin Kan Xingjian Li Stanley Osher 427 2 0 30 Jan 2025
A Tunable Despeckling Neural Network Stabilized via Diffusion EquationSignal Processing (Signal Process.), 2024 Yi Ran Zhichang Guo Jia Li Yao Li Martin Burger Boying Wu DiffM 275 0 0 24 Nov 2024
Predictor-Corrector Enhanced Transformers with Exponential Moving Average Coefficient LearningNeural Information Processing Systems (NeurIPS), 2024 Yangqiu Song Tong Zheng Ran Wang Jiahao Liu Qingyan Guo ... Xu Tan Tong Xiao Jingbo Zhu Jiadong Wang Xunliang Cai 313 4 0 05 Nov 2024
CAPEEN: Image Captioning with Early Exits and Knowledge DistillationConference on Empirical Methods in Natural Language Processing (EMNLP), 2024 Divya J. Bajpai M. Hanawal VLM 185 10 0 06 Oct 2024
Invertible ResNets for Inverse Imaging Problems: Competitive Performance with Provable Regularization Properties Clemens Arndt Judith Nickel 341 1 0 20 Sep 2024
Scale generalisation properties of extended scale-covariant and scale-invariant Gaussian derivative networks on image datasets with spatial scaling variationsJournal of Mathematical Imaging and Vision (JMIV), 2024 Andrzej Perzanowski Tony Lindeberg 425 4 0 17 Sep 2024
Learning Regularization for Graph Inverse ProblemsAAAI Conference on Artificial Intelligence (AAAI), 2024 Moshe Eliasof Md Shahriar Rahim Siddiqui Carola-Bibiane Schönlieb Eldad Haber GNN 332 1 0 19 Aug 2024
Operator Learning Using Random Features: A Tool for Scientific ComputingSIAM Review (SIAM Rev.), 2024 Nicholas H. Nelsen Andrew M. Stuart 277 22 0 12 Aug 2024
LIP-CAR: contrast agent reduction by a deep learned inverse problem Davide Bianchi Sonia Colombo Serra Davide Evangelista Pengpeng Luo E. Morotti Giovanni Valbusa MedIm 153 0 0 15 Jul 2024
Fully invertible hyperbolic neural networks for segmenting large-scale surface and sub-surface data Bas Peters Eldad Haber Keegan Lensink 136 0 0 30 Jun 2024
Advection Augmented Convolutional Neural Networks N. Zakariaei Siddharth Rout Eldad Haber Moshe Eliasof AI4TS 212 3 0 27 Jun 2024
Graph Neural Reaction Diffusion Models Moshe Eliasof Eldad Haber Eran Treister DiffM AI4CE 239 7 0 16 Jun 2024
Beyond Conventional Parametric Modeling: Data-Driven Framework for Estimation and Prediction of Time Activity Curves in Dynamic PET Imaging N. Zakariaei Arman Rahmim Eldad Haber MedIm 78 0 0 31 May 2024
Neuroexplicit Diffusion Models for Inpainting of Optical Flow FieldsInternational Conference on Machine Learning (ICML), 2024 Tom Fischer Pascal Peter Joachim Weickert Eddy Ilg DiffM AI4CE 137 0 0 23 May 2024
Continuous Learned Primal DualInternational Workshop on Machine Learning for Signal Processing (MLSP), 2024 Christina Runkel A. Biguri Carola-Bibiane Schönlieb AI4CE 142 0 0 03 May 2024
Graph Neural Aggregation-diffusion with Metastability Kaiyuan Cui Xinyan Wang Zicheng Zhang Weichen Zhao 303 2 0 29 Mar 2024
Neural Fractional Differential Equations C. Coelho M. F. P. Costa L. L. Ferrás 77 4 0 05 Mar 2024
Extraction of nonlinearity in neural networks with Koopman operator Naoki Sugishita Kayo Kinjo Jun Ohkubo 143 2 0 18 Feb 2024
Diffeomorphic Measure Matching with Kernels for Generative Modeling Biraj Pandey Bamdad Hosseini Pau Batlle H. Owhadi 222 3 0 12 Feb 2024
Deep Continuous Networks Nergis Tomen S. Pintea Jan van Gemert 291 15 0 02 Feb 2024
Equivariant Manifold Neural ODEs and Differential Invariants Emma Andersdotter Fredrik Ohlsson 176 1 0 25 Jan 2024
Accelerating Fractional PINNs using Operational Matrices of Derivative Tayebeh Taheri Alireza Afzal Aghaei Kourosh Parand 53 4 0 25 Jan 2024
On The Temporal Domain of Differential Equation Inspired Graph Neural NetworksInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2024 Moshe Eliasof E. Haber Eran Treister Carola-Bibiane Schönlieb AI4CE 284 10 0 20 Jan 2024
Port-Hamiltonian Neural ODE Networks on Lie Groups For Robot Dynamics Learning and ControlIEEE Transactions on robotics (IEEE Trans. Robot.), 2024 T. Duong Abdullah Altawaitan Jason Stanley Nikolay Atanasov 300 22 0 17 Jan 2024
Differential Equations for Continuous-Time Deep LearningNotices of the American Mathematical Society (Not. Amer. Math. Soc.), 2024 Lars Ruthotto AI4TS AI4CE SyDa BDL 157 10 0 08 Jan 2024
Double-well Net for Image SegmentationMultiscale Modeling & simulation (MMS), 2023 Haotian Liu Jun Liu Raymond H. F. Chan Xue-Cheng Tai 231 10 0 31 Dec 2023
What's Next? Predicting Hamiltonian Dynamics from Discrete Observations of a Vector FieldInternational Conference on Database and Expert Systems Applications (DEXA), 2023 Zi-Yu Khoo Delong Zhang S. Bressan 221 4 0 14 Dec 2023
Symmetry-regularized neural ordinary differential equations Wenbo Hao PINN AI4CE 167 1 0 28 Nov 2023
From Continuous Dynamics to Graph Neural Networks: Neural Diffusion and Beyond Andi Han Dai Shi Lequan Lin Junbin Gao AI4CE GNN 262 33 0 16 Oct 2023