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Beyond Finite Layer Neural Networks: Bridging Deep Architectures and
  Numerical Differential Equations
v1v2v3 (latest)

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

International Conference on Machine Learning (ICML), 2017
27 October 2017
Yiping Lu
Aoxiao Zhong
Shijie Zhao
Bin Dong
ArXiv (abs)PDFHTML

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

50 / 293 papers shown
MFI-ResNet: Efficient ResNet Architecture Optimization via MeanFlow Compression and Selective Incubation
MFI-ResNet: Efficient ResNet Architecture Optimization via MeanFlow Compression and Selective Incubation
Nuolin Sun
Linyuan Wang
Haonan Wei
Lei Li
Bin Yan
176
0
0
16 Nov 2025
Optimal Control Theoretic Neural Optimizer: From Backpropagation to Dynamic Programming
Optimal Control Theoretic Neural Optimizer: From Backpropagation to Dynamic Programming
Guan-Horng Liu
Tianrong Chen
Evangelos A. Theodorou
AI4CE
148
0
0
15 Oct 2025
Deep Neural Networks Inspired by Differential Equations
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
AI4TSAI4CE
240
1
0
09 Oct 2025
Mathematical Modeling and Convergence Analysis of Deep Neural Networks with Dense Layer Connectivities in Deep Learning
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
142
0
0
02 Oct 2025
IIET: Efficient Numerical Transformer via Implicit Iterative Euler Method
IIET: Efficient Numerical Transformer via Implicit Iterative Euler Method
Xinyu Liu
Bei Li
Jiahao Liu
Junhao Ruan
Kechen Jiao
Hongyin Tang
Jingang Wang
Xiao Tong
Jingbo Zhu
283
0
0
26 Sep 2025
The Hidden Width of Deep ResNets: Tight Error Bounds and Phase Diagram
The Hidden Width of Deep ResNets: Tight Error Bounds and Phase Diagram
Lénaïc Chizat
250
5
0
12 Sep 2025
Cross-Domain Few-Shot Segmentation via Ordinary Differential Equations over Time Intervals
Cross-Domain Few-Shot Segmentation via Ordinary Differential Equations over Time Intervals
Huan Ni
Qingshan Liu
Xiaonan Niu
Danfeng Hong
Lingli Zhao
Haiyan Guan
222
0
0
01 Sep 2025
Self-Composing Neural Operators with Depth and Accuracy Scaling via Adaptive Train-and-Unroll Approach
Self-Composing Neural Operators with Depth and Accuracy Scaling via Adaptive Train-and-Unroll Approach
Juncai He
Xinliang Liu
Jinchao Xu
AI4CE
281
1
0
28 Aug 2025
Uncertainty Propagation Networks for Neural Ordinary Differential Equations
Uncertainty Propagation Networks for Neural Ordinary Differential Equations
Hadi Jahanshahi
Zheng H. Zhu
169
1
0
22 Aug 2025
ODE$_t$(ODE$_l$): Shortcutting the Time and the Length in Diffusion and Flow Models for Faster Sampling
ODEt_tt​(ODEl_ll​): Shortcutting the Time and the Length in Diffusion and Flow Models for Faster Sampling
Denis A. Gudovskiy
Wenzhao Zheng
Tomoyuki Okuno
Yohei Nakata
Kurt Keutzer
289
0
0
26 Jun 2025
Quantum-Inspired Differentiable Integral Neural Networks (QIDINNs): A Feynman-Based Architecture for Continuous Learning Over Streaming Data
Quantum-Inspired Differentiable Integral Neural Networks (QIDINNs): A Feynman-Based Architecture for Continuous Learning Over Streaming Data
Oscar Boullosa Dapena
254
0
0
13 Jun 2025
Multiple-Frequencies Population-Based Training
Multiple-Frequencies Population-Based Training
Waël Doulazmi
Auguste Lehuger
Marin Toromanoff
Valentin Charraut
Thibault Buhet
Fabien Moutarde
289
2
0
03 Jun 2025
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations
Jin Song
Kenji Kawaguchi
Zhenya Yan
AI4CE
332
0
0
02 Jun 2025
HD-NDEs: Neural Differential Equations for Hallucination Detection in LLMs
HD-NDEs: Neural Differential Equations for Hallucination Detection in LLMsAnnual Meeting of the Association for Computational Linguistics (ACL), 2025
Qing Li
Fauzan Farooqui
Zongxiong Chen
Derui Zhu
Yuxia Wang
Congbo Ma
Chenyang Lyu
Fakhri Karray
410
5
0
30 May 2025
Continuous-Time Attention: PDE-Guided Mechanisms for Long-Sequence Transformers
Continuous-Time Attention: PDE-Guided Mechanisms for Long-Sequence Transformers
Yukun Zhang
Xueqing Zhou
AI4TS
200
1
0
27 May 2025
IM-BERT: Enhancing Robustness of BERT through the Implicit Euler Method
IM-BERT: Enhancing Robustness of BERT through the Implicit Euler MethodConference on Empirical Methods in Natural Language Processing (EMNLP), 2025
Mihyeon Kim
Juhyoung Park
Youngbin Kim
470
4
0
11 May 2025
PeSANet: Physics-encoded Spectral Attention Network for Simulating PDE-Governed Complex Systems
PeSANet: Physics-encoded Spectral Attention Network for Simulating PDE-Governed Complex SystemsInternational Joint Conference on Artificial Intelligence (IJCAI), 2025
Han Wan
Rui Zhang
Qi Wang
Wenshu Fan
Hao Sun
PINN
284
4
0
03 May 2025
Imitation Learning for Autonomous Driving: Insights from Real-World Testing
Imitation Learning for Autonomous Driving: Insights from Real-World Testing
Hidayet Ersin Dursun
Yusuf Guven
Tufan Kumbasar
275
1
0
26 Apr 2025
Equilibrium Conserving Neural Operators for Super-Resolution Learning
Equilibrium Conserving Neural Operators for Super-Resolution Learning
Vivek Oommen
Andreas E. Robertson
Daniel Diaz
Coleman Alleman
Zhen Zhang
Anthony D. Rollett
George Karniadakis
Rémi Dingreville
355
3
0
18 Apr 2025
PIMRL: Physics-Informed Multi-Scale Recurrent Learning for Burst-Sampled Spatiotemporal Dynamics
PIMRL: Physics-Informed Multi-Scale Recurrent Learning for Burst-Sampled Spatiotemporal Dynamics
Han Wan
Qi Wang
Hao Sun
Hao Sun
Hao Sun
AI4CE
531
2
0
13 Mar 2025
Modelling Chemical Reaction Networks using Neural Ordinary Differential Equations
Modelling Chemical Reaction Networks using Neural Ordinary Differential Equations
Anna C. M. Thöni
William Robinson
Yoram Bachrach
Wilhelm Huck
Tal Kachman
275
2
0
11 Feb 2025
MultiPDENet: PDE-embedded Learning with Multi-time-stepping for Accelerated Flow Simulation
MultiPDENet: PDE-embedded Learning with Multi-time-stepping for Accelerated Flow Simulation
Qi Wang
Yuan Mi
Jian Shu
Yi Zhang
Ruizhi Chengze
Hongsheng Liu
J. Wen
Hao Sun
AI4CE
381
5
0
28 Jan 2025
Point Cloud Denoising With Fine-Granularity Dynamic Graph Convolutional
  Networks
Point Cloud Denoising With Fine-Granularity Dynamic Graph Convolutional Networks
Wenqiang Xu
Wenrui Dai
Duoduo Xue
Ziyang Zheng
Chenglin Li
Junni Zou
Hongkai Xiong
3DPC
374
1
0
21 Nov 2024
Predictor-Corrector Enhanced Transformers with Exponential Moving
  Average Coefficient Learning
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
397
5
0
05 Nov 2024
P$^2$C$^2$Net: PDE-Preserved Coarse Correction Network for efficient
  prediction of spatiotemporal dynamics
P2^22C2^22Net: PDE-Preserved Coarse Correction Network for efficient prediction of spatiotemporal dynamicsNeural Information Processing Systems (NeurIPS), 2024
Qi Wang
Pu Ren
Hao Zhou
Xin-Yang Liu
Z. Deng
...
Zidong Wang
Jian-Xun Wang
Ji-Rong_Wen
Hao Sun
Yang Liu
434
16
0
29 Oct 2024
Stabilized Neural Prediction of Potential Outcomes in Continuous Time
Stabilized Neural Prediction of Potential Outcomes in Continuous TimeInternational Conference on Learning Representations (ICLR), 2024
Konstantin Hess
Stefan Feuerriegel
641
7
0
04 Oct 2024
Improving Robustness of Spectrogram Classifiers with Neural Stochastic
  Differential Equations
Improving Robustness of Spectrogram Classifiers with Neural Stochastic Differential EquationsInternational Workshop on Machine Learning for Signal Processing (MLSP), 2024
Joel Brogan
Olivera Kotevska
Anibely Torres
S. Jha
Mark Adams
204
0
0
03 Sep 2024
Representing Neural Network Layers as Linear Operations via Koopman
  Operator Theory
Representing Neural Network Layers as Linear Operations via Koopman Operator Theory
Nishant Suresh Aswani
Saif Eddin Jabari
Mohamed Bennai
FAttAI4CE
193
1
0
02 Sep 2024
On latent dynamics learning in nonlinear reduced order modeling
On latent dynamics learning in nonlinear reduced order modelingNeural Networks (NN), 2024
N. Farenga
S. Fresca
Simone Brivio
Andrea Manzoni
AI4CE
232
11
0
27 Aug 2024
Neural CRNs: A Natural Implementation of Learning in Chemical Reaction Networks
Neural CRNs: A Natural Implementation of Learning in Chemical Reaction NetworksACS Synthetic Biology (ACS Synth. Biol.), 2024
Rajiv Teja Nagipogu
John H. Reif
362
2
0
18 Aug 2024
Physics-embedded Fourier Neural Network for Partial Differential
  Equations
Physics-embedded Fourier Neural Network for Partial Differential Equations
Qingsong Xu
Nils Thuerey
Yilei Shi
Jonathan Bamber
Chaojun Ouyang
Xiao Xiang Zhu
AI4CE
268
1
0
15 Jul 2024
KAN-ODEs: Kolmogorov-Arnold Network Ordinary Differential Equations for
  Learning Dynamical Systems and Hidden Physics
KAN-ODEs: Kolmogorov-Arnold Network Ordinary Differential Equations for Learning Dynamical Systems and Hidden Physics
Benjamin C. Koenig
Suyong Kim
Sili Deng
455
147
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05 Jul 2024
Topological Neural Networks go Persistent, Equivariant, and Continuous
Topological Neural Networks go Persistent, Equivariant, and Continuous
Yogesh Verma
Amauri H Souza
Vikas Garg
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218
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05 Jun 2024
Physics-Informed Heterogeneous Graph Neural Networks for DC Blocker
  Placement
Physics-Informed Heterogeneous Graph Neural Networks for DC Blocker PlacementElectric power systems research (EPSR), 2024
Hongwei Jin
Dali Wang
Allen Zou
Pieter Ghysels
Aditi S. Krishnapriyan
Adam Mate
Arthur Barnes
Russell Bent
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162
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0
16 May 2024
Zero-Shot Transfer of Neural ODEs
Zero-Shot Transfer of Neural ODEsNeural Information Processing Systems (NeurIPS), 2024
Tyler Ingebrand
Adam J. Thorpe
Ufuk Topcu
256
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14 May 2024
Continuous Learned Primal Dual
Continuous Learned Primal DualInternational Workshop on Machine Learning for Signal Processing (MLSP), 2024
Christina Runkel
A. Biguri
Carola-Bibiane Schönlieb
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203
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03 May 2024
Neural Dynamic Data Valuation: A Stochastic Optimal Control Approach
Neural Dynamic Data Valuation: A Stochastic Optimal Control Approach
Zhangyong Liang
Ji Zhang
Ji Zhang
Pengfei Zhang
Zhao Li
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499
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30 Apr 2024
Deep Learning as Ricci Flow
Deep Learning as Ricci Flow
Anthony Baptista
Alessandro Barp
Tapabrata Chakraborti
Chris Harbron
Ben D. MacArthur
Christopher R. S. Banerji
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394
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22 Apr 2024
Control Theoretic Approach to Fine-Tuning and Transfer Learning
Control Theoretic Approach to Fine-Tuning and Transfer Learning
Erkan Bayram
Shenyu Liu
M. Belabbas
Tamer Basar
292
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17 Apr 2024
Graph Neural Aggregation-diffusion with Metastability
Graph Neural Aggregation-diffusion with Metastability
Kaiyuan Cui
Xinyan Wang
Zicheng Zhang
Weichen Zhao
435
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0
29 Mar 2024
Convection-Diffusion Equation: A Theoretically Certified Framework for
  Neural Networks
Convection-Diffusion Equation: A Theoretically Certified Framework for Neural NetworksIEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), 2024
Tangjun Wang
Chenglong Bao
Zuoqiang Shi
DiffM
279
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23 Mar 2024
Generalization of Scaled Deep ResNets in the Mean-Field Regime
Generalization of Scaled Deep ResNets in the Mean-Field RegimeInternational Conference on Learning Representations (ICLR), 2024
Yihang Chen
Fanghui Liu
Yiping Lu
Grigorios G. Chrysos
Volkan Cevher
284
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14 Mar 2024
Neural Fractional Differential Equations
Neural Fractional Differential Equations
C. Coelho
M. F. P. Costa
L. L. Ferrás
106
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Unification of Symmetries Inside Neural Networks: Transformer,
  Feedforward and Neural ODE
Unification of Symmetries Inside Neural Networks: Transformer, Feedforward and Neural ODE
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Yuji Hirono
Akiyoshi Sannai
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321
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Deep Continuous Networks
Deep Continuous Networks
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Jan van Gemert
409
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Operator-learning-inspired Modeling of Neural Ordinary Differential
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Woojin Cho
Seunghyeon Cho
Hyundong Jin
Jinsung Jeon
Kookjin Lee
Sanghyun Hong
Dongeun Lee
Jonghyun Choi
Noseong Park
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210
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16 Dec 2023
Speeding up astrochemical reaction networks with autoencoders and neural
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Immanuel Sulzer
Tobias Buck
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Symmetry-regularized neural ordinary differential equations
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Bayesian Neural Controlled Differential Equations for Treatment Effect
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