Search Results

• Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units

  Bo Li, Shanshan Tang, Haijun Yu

  2019-12-07

  51684 3375 Pages:379-411

• Language Change and Social Networks

  Jinyun Ke, Tao Gong & William S-Y Wang

  2008-03-01

  40490 4158 Pages:935-949

• Loss Jump During Loss Switch in Solving PDEs with Neural Networks

  Zhiwei Wang, Lulu Zhang, Zhongwang Zhang, Zhi-Qin John Xu

  2024-10-29

  146 60 Pages:1090-1112

• Generalized Lagrangian Neural Networks

  Shanshan Xiao, Jiawei Zhang, Yifa Tang

  2025-11-07

  2615 132 Pages:59-77

• Generalization Error Analysis of Neural Networks with Gradient Based Regularization

  Lingfeng Li, Xue-Cheng Tai, Jiang Yang

  2022-10-28

  45537 3242 Pages:1007-1038

• Spatial Correlation Function in Modular Networks

  Ke Ping Li & Zi You Gao

  2008-03-01

  38441 3709 Pages:724-733

• Adaptive Interface-PINNs (AdaI-PINNs): An Efficient Physics-Informed Neural Networks Framework for Interface Problems

  Sumanta Roy, Chandrasekhar Annavarapu, Pratanu Roy, Antareep Kumar Sarma

  2025-09-02

  431 93 Pages:603-622

• A Mixed Wavelet-Learning Method of Predicting Macroscopic Effective Heat Transfer Conductivities of Braided Composite Materials

  Hao Dong, Wenbo Kou, Junyan Han, Jiale Linghu, Minqiang Zou, Junzhi Cui

  2022-01-27

  42957 3240 Pages:593-625

• Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems

  Sidi Wu, Aiqing Zhu, Yifa Tang, Benzhuo Lu

  2023-03-13

  40769 3224 Pages:596-627

• Potts Model with q States on Directed Barabási-Albert Networks

  F. W. S. Lima

  2007-02-01

  39202 4071 Pages:522-529

• Majority-Vote on Undirected Barabási-Albert Networks

  F. W. S. Lima

  2018-03-24

  39788 3876 Pages:358-366

• Emergence of Community Structure in the Adaptive Social Networks

  Long Guo & Xu Cai

  2010-08-01

  40137 4202 Pages:835-844

• Two-Scale Neural Networks for Partial Differential Equations with Small Parameters

  Qiao Zhuang, Chris Ziyi Yao, Zhongqiang Zhang, George Em Karniadakis

  2025-08-23

  6003 511 Pages:603-629

• Comparisons of the English and Chinese Language Networks: Many Similarities and Few Differences

  Dujuan Wang, Ru Wang & Xu Cai

  2010-08-01

  41067 3947 Pages:690-700

• A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs

  Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Fengru Wang, Yang Wang, Jerry Zhijian Yang

  2022-03-30

  51825 3084 Pages:1272-1295

• A Deep Learning Modeling Framework to Capture Mixing Patterns in Reactive-Transport Systems

  N. V. Jagtap, M. K. Mudunuru, K. B. Nakshatrala

  2021-12-06

  49247 3959 Pages:188-223

• A Neural Network Approach to Sampling Based Learning Control for Quantum System with Uncertainty

  Jingshi Li, Song Chen, Yanzhao Cao, Zhao Sun

  2021-10-26

  47116 3336 Pages:1453-1473

• Continuous-Variable Deep Quantum Neural Networks for Flexible Learning of Structured Classical Information

  Jasvith Raj Basani, Aranya Bhattacherjee

  2021-08-10

  46112 2967 Pages:1216-1231

• Enforcing Imprecise Constraints on Generative Adversarial Networks for Emulating Physical Systems

  Yang Zeng, Jin-Long Wu, Heng Xiao

  2021-07-01

  49181 3239 Pages:635-665

• On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs

  Yeonjong Shin, Jérôme Darbon, George Em Karniadakis

  2020-11-18

  88478 4440 Pages:2042-2074

• Physics-Driven Learning of the Steady Navier-Stokes Equations Using Deep Convolutional Neural Networks

  Hao Ma, Yuxuan Zhang, Nils Thuerey, Xiangyu Hu, Oskar J. Haidn

  2022-09-29

  42625 3275 Pages:715-736

• Butterfly-Net: Optimal Function Representation Based on Convolutional Neural Networks

  Yingzhou Li, Xiuyuan Cheng, Jianfeng Lu

  2020-11-18

  63549 3432 Pages:1838-1885

• A Model-Data Asymptotic-Preserving Neural Network Method Based on Micro-Macro Decomposition for Gray Radiative Transfer Equations

  Hongyan Li, Song Jiang, Wenjun Sun, Liwei Xu, Guanyu Zhou

  2024-06-14

  36587 1889 Pages:1155-1193

• Generalization Error in the Deep Ritz Method with Smooth Activation Functions

  Janne Siipola

  2024-04-10

  24120 2222 Pages:761-815 Open-access

• Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations

  Shi Jin, Zheng Ma, Keke Wu

  2024-04-10

  25172 2100 Pages:693-723

• Continuous Opinion Dynamics in Complex Networks

  L. Guo & X. Cai

  2009-05-01

  39797 4737 Pages:1045-1053

• An Adaptive Surrogate Modeling Based on Deep Neural Networks for Large-Scale Bayesian Inverse Problems

  Liang Yan, Tao Zhou

  2020-11-18

  67125 3405 Pages:2180-2205