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

  DOI:10.4208/cicp.OA-2019-0168

  52032 3444 pp. 379-411

• Language Change and Social Networks

  Jinyun Ke, Tao Gong, William S-Y Wang

  2008-03-01

  40739 4217 pp. 935-949

• Generalization Error Analysis of Neural Networks with Gradient Based Regularization

  Lingfeng Li, Xue-Cheng Tai, Jiang Yang

  2022-10-28

  DOI:10.4208/cicp.OA-2021-0211

  45822 3323 pp. 1007-1038

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

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

  2024-10-29

  DOI:10.4208/cicp.OA-2024-0096

  17522 1208 pp. 1090-1112

• Spatial Correlation Function in Modular Networks

  Ke Ping Li, Zi You Gao

  2008-03-01

  38620 3777 pp. 724-733

• Generalized Lagrangian Neural Networks

  Shanshan Xiao, Jiawei Zhang, Yifa Tang

  2026-01-15

  DOI:10.4208/cicp.OA-2024-0052

  3372 511 pp. 59-77

• 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

  DOI:10.4208/cicp.OA-2021-0110

  43172 3277 pp. 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

  DOI:10.4208/cicp.OA-2022-0218

  41082 3304 pp. 596-627

• 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

  DOI:10.4208/cicp.OA-2024-0131

  10784 686 pp. 603-622

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

  F. W. S. Lima

  2007-02-01

  39357 4139 pp. 522-529

• Majority-Vote on Undirected Barabási-Albert Networks

  F. W. S. Lima

  2018-03-24

  39955 3928 pp. 358-366

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

  Yingzhou Li, Xiuyuan Cheng, Jianfeng Lu

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0214

  63895 3512 pp. 1838-1885

• 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

  DOI:10.4208/cicp.OA-2020-0193

  89565 4614 pp. 2042-2074

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

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

  2025-08-23

  DOI:10.4208/cicp.OA-2024-0040

  6671 631 pp. 603-629

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

  Yang Zeng, Jin-Long Wu, Heng Xiao

  2021-07-01

  DOI:10.4208/cicp.OA-2020-0106

  49410 3307 pp. 635-665

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

  Jasvith Raj Basani, Aranya Bhattacherjee

  2021-08-10

  DOI:10.4208/cicp.OA-2020-0173

  46297 3033 pp. 1216-1231

• 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

  DOI:10.4208/cicp.OA-2020-0182

  47322 3405 pp. 1453-1473

• 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

  DOI:10.4208/cicp.OA-2021-0088

  49510 4115 pp. 188-223

• Emergence of Community Structure in the Adaptive Social Networks

  Long Guo, Xu Cai

  2010-08-01

  DOI:10.4208/cicp.181009.161209a

  40332 4270 pp. 835-844

• 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

  DOI:10.4208/cicp.OA-2021-0186

  52182 3175 pp. 1272-1295

• 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

  DOI:10.4208/cicp.OA-2021-0146

  42895 3385 pp. 715-736

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

  Dujuan Wang, Ru Wang, Xu Cai

  2010-08-01

  DOI:10.4208/cicp.190909.161209a

  41332 4022 pp. 690-700

• Score-fPINN: Fractional Score-Based Physics-Informed Neural Networks for High-Dimensional Fokker-Planck-Lévy Equations

  Zheyuan Hu, Zhongqiang Zhang, George Em Karniadakis, Kenji Kawaguchi

  2026-04-10

  DOI:10.4208/cicp.OA-2024-0201

  170 55 pp. 1-26

• Convergence Analysis for Over-Parameterized Deep Learning

  Yuling Jiao, Xiliang Lu, Peiying Wu, Jerry Zhijian Yang

  2024-07-29

  DOI:10.4208/cicp.OA-2023-0264

  28088 2178 pp. 71-103

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

  Liang Yan, Tao Zhou

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0186

  67487 3473 pp. 2180-2205

• Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations

  Ameya D. Jagtap, George Em Karniadakis

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0164

  151550 6990 pp. 2002-2041

• Continuous Opinion Dynamics in Complex Networks

  L. Guo, X. Cai

  2009-05-01

  39973 4784 pp. 1045-1053