Beyond Finite Layer Neural Networks: Bridging Deep Architectures and Numerical Differential Equations

27 October 2017

Papers citing "Beyond Finite Layer Neural Networks: Bridging Deep Architectures and Numerical Differential Equations"

50 / 124 papers shown

Title
IM-BERT: Enhancing Robustness of BERT through the Implicit Euler Method Mihyeon Kim Juhyoung Park Youngbin Kim 34 0 0 11 May 2025
PeSANet: Physics-encoded Spectral Attention Network for Simulating PDE-Governed Complex Systems Han Wan Rui Zhang Qi Wang Yong-Jin Liu Hao Sun PINN 50 0 0 03 May 2025
Imitation Learning for Autonomous Driving: Insights from Real-World Testing Hidayet Ersin Dursun Yusuf Guven Tufan Kumbasar 27 0 0 26 Apr 2025
PIMRL: Physics-Informed Multi-Scale Recurrent Learning for Spatiotemporal Prediction Han Wan Qi Wang Hao Sun Hao Sun AI4CE 62 1 0 13 Mar 2025
MultiPDENet: PDE-embedded Learning with Multi-time-stepping for Accelerated Flow Simulation Qi Wang Yuan Mi Haoran Wang Yi Zhang Ruizhi Chengze Hongsheng Liu J. Wen Hao Sun AI4CE 48 0 0 28 Jan 2025
Stabilized Neural Prediction of Potential Outcomes in Continuous Time Konstantin Hess Stefan Feuerriegel 61 0 0 04 Oct 2024
Convection-Diffusion Equation: A Theoretically Certified Framework for Neural Networks Tangjun Wang Chenglong Bao Zuoqiang Shi DiffM 49 0 0 23 Mar 2024
Deep Continuous Networks Nergis Tomen S. Pintea Jan van Gemert 94 14 0 02 Feb 2024
Operator-learning-inspired Modeling of Neural Ordinary Differential Equations Woojin Cho Seunghyeon Cho Hyundong Jin Jinsung Jeon Kookjin Lee Sanghyun Hong Dongeun Lee Jonghyun Choi Noseong Park AI4TS AI4CE 23 2 0 16 Dec 2023
Neural Stochastic Differential Equations for Robust and Explainable Analysis of Electromagnetic Unintended Radiated Emissions Sumit Kumar Jha Susmit Jha Rickard Ewetz Alvaro Velasquez 21 2 0 27 Sep 2023
Learning Latent Dynamics via Invariant Decomposition and (Spatio-)Temporal Transformers Kai Lagemann C. Lagemann Swarnava Mukherjee 49 2 0 21 Jun 2023
PDE+: Enhancing Generalization via PDE with Adaptive Distributional Diffusion Yige Yuan Bingbing Xu Bo Lin Liang Hou Fei Sun Huawei Shen Xueqi Cheng DiffM 31 4 0 25 May 2023
SAR-to-Optical Image Translation via Thermodynamics-inspired Network Mingjin Zhang Jiamin Xu Chengyu He Wenteng Shang Yunsong Li Xinbo Gao DiffM 33 2 0 23 May 2023
A Survey on Solving and Discovering Differential Equations Using Deep Neural Networks Hyeonjung Jung Jung Jayant Gupta B. Jayaprakash Matthew J. Eagon Harish Selvam Carl Molnar W. Northrop Shashi Shekhar AI4CE 45 5 0 26 Apr 2023
Neural Delay Differential Equations: System Reconstruction and Image Classification Qunxi Zhu Yao Guo Wei Lin 25 32 0 11 Apr 2023
Locally Regularized Neural Differential Equations: Some Black Boxes Were Meant to Remain Closed! Avik Pal Alan Edelman Chris Rackauckas 42 3 0 03 Mar 2023
Model Doctor for Diagnosing and Treating Segmentation Error Zhijie Jia Lin Chen Kaiwen Hu Lechao Cheng Zunlei Feng Min-Gyoo Song 31 0 0 17 Feb 2023
CQnet: convex-geometric interpretation and constraining neural-network trajectories Bas Peters 37 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 27 3 0 02 Feb 2023
Certified Invertibility in Neural Networks via Mixed-Integer Programming Tianqi Cui Tom S. Bertalan George J. Pappas M. Morari Ioannis G. Kevrekidis Mahyar Fazlyab AAML 27 2 0 27 Jan 2023
Selected aspects of complex, hypercomplex and fuzzy neural networks A. Niemczynowicz R. Kycia Maciej Jaworski A. Siemaszko J. Calabuig ... Baruch Schneider Diana Berseghyan Irina Perfiljeva V. Novák Piotr Artiemjew 31 0 0 29 Dec 2022
Continuous Depth Recurrent Neural Differential Equations Srinivas Anumasa Geetakrishnasai Gunapati P. K. Srijith AI4TS 26 0 0 28 Dec 2022
A Neural ODE Interpretation of Transformer Layers Yaofeng Desmond Zhong Tongtao Zhang Amit Chakraborty Biswadip Dey 51 9 0 12 Dec 2022
Experimental study of Neural ODE training with adaptive solver for dynamical systems modeling A. Allauzen Thiago Petrilli Maffei Dardis Hannah Plath AI4CE 24 0 0 13 Nov 2022
A Law of Data Separation in Deep Learning Hangfeng He Weijie J. Su OOD 39 38 0 31 Oct 2022
Differentiable Analog Quantum Computing for Optimization and Control Jiaqi Leng Yuxiang Peng Yi-Ling Qiao Ming-Chyuan Lin Xiaodi Wu 22 15 0 28 Oct 2022
Dynamical systems' based neural networks E. Celledoni Davide Murari B. Owren Carola-Bibiane Schönlieb Ferdia Sherry OOD 51 12 0 05 Oct 2022
Block-wise Training of Residual Networks via the Minimizing Movement Scheme Skander Karkar Ibrahim Ayed Emmanuel de Bézenac Patrick Gallinari 33 1 0 03 Oct 2022
Parameter-varying neural ordinary differential equations with partition-of-unity networks Kookjin Lee N. Trask 32 2 0 01 Oct 2022
The Mori-Zwanzig formulation of deep learning D. Venturi Xiantao Li 32 1 0 12 Sep 2022
STDEN: Towards Physics-Guided Neural Networks for Traffic Flow Prediction Jiahao Ji Jingyuan Wang Zhe Jiang Jiawei Jiang Hu Zhang DiffM PINN OOD AI4CE 20 77 0 01 Sep 2022
Understanding Adversarial Robustness of Vision Transformers via Cauchy Problem Zheng Wang Wenjie Ruan ViT 42 8 0 01 Aug 2022
Zero Stability Well Predicts Performance of Convolutional Neural Networks Liangming Chen Long Jin Mingsheng Shang MLT 24 8 0 27 Jun 2022
Learning the parameters of a differential equation from its trajectory via the adjoint equation I. Fekete A. Molnár P. Simon 13 0 0 17 Jun 2022
ACMP: Allen-Cahn Message Passing for Graph Neural Networks with Particle Phase Transition Yuelin Wang Kai Yi Xinliang Liu Yu Guang Wang Shi Jin 29 33 0 11 Jun 2022
Neural Differential Equations for Learning to Program Neural Nets Through Continuous Learning Rules Kazuki Irie Francesco Faccio Jürgen Schmidhuber AI4TS 41 11 0 03 Jun 2022
Do Residual Neural Networks discretize Neural Ordinary Differential Equations? Michael E. Sander Pierre Ablin Gabriel Peyré 40 25 0 29 May 2022
Standalone Neural ODEs with Sensitivity Analysis Rym Jaroudi Lukáš Malý Gabriel Eilertsen B. Johansson Jonas Unger George Baravdish 23 0 0 27 May 2022
An Interpretable MRI Reconstruction Network with Two-grid-cycle Correction and Geometric Prior Distillation Xiaohong Fan Yin Yang Ke-long Chen Jianping Zhang Ke Dong MedIm 29 13 0 14 May 2022
A Probabilistic Interpretation of Transformers Alexander Shim 43 1 0 28 Apr 2022
LyaNet: A Lyapunov Framework for Training Neural ODEs I. D. Rodriguez Aaron D. Ames Yisong Yue 35 51 0 05 Feb 2022
Imbedding Deep Neural Networks A. Corbett D. Kangin AI4TS 30 2 0 31 Jan 2022
Convergence of Invariant Graph Networks Chen Cai Yusu Wang 66 4 0 25 Jan 2022
Neural Born Iteration Method For Solving Inverse Scattering Problems: 2D Cases Tao Shan Zhichao Lin Xiaoqian Song Maokun Li Fan Yang Zhensheng Xu 38 18 0 18 Dec 2021
An Interpretive Constrained Linear Model for ResNet and MgNet Juncai He Jinchao Xu Lian Zhang Jianqing Zhu 14 18 0 14 Dec 2021
Global convergence of ResNets: From finite to infinite width using linear parameterization Raphael Barboni Gabriel Peyré Franccois-Xavier Vialard 16 12 0 10 Dec 2021
RMNet: Equivalently Removing Residual Connection from Networks Fanxu Meng Hao Cheng Jia-Xin Zhuang Ke Li Xing Sun 31 11 0 01 Nov 2021
Neural Flows: Efficient Alternative to Neural ODEs Marin Bilovs Johanna Sommer Syama Sundar Rangapuram Tim Januschowski Stephan Günnemann AI4TS 40 70 0 25 Oct 2021
Sinkformers: Transformers with Doubly Stochastic Attention Michael E. Sander Pierre Ablin Mathieu Blondel Gabriel Peyré 37 77 0 22 Oct 2021
Solving Image PDEs with a Shallow Network Pascal Getreuer P. Milanfar Xiyang Luo 39 1 0 15 Oct 2021