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Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators 期刊论文
NATURE MACHINE INTELLIGENCE, 2021, 卷号: 3, 期号: 3, 页码: 218-+
Authors:  Lu, Lu;  Jin, Pengzhan;  Pang, Guofei;  Zhang, Zhongqiang;  Karniadakis, George Em
Favorite  |  View/Download:66/0  |  Submit date:2021/06/01
Quantifying the generalization error in deep learning in terms of data distribution and neural network smoothness 期刊论文
NEURAL NETWORKS, 2020, 卷号: 130, 页码: 85-99
Authors:  Jin, Pengzhan;  Lu, Lu;  Tang, Yifa;  Karniadakis, George Em
Favorite  |  View/Download:35/0  |  Submit date:2021/01/14
Neural networks  Generalization error  Learnability  Data distribution  Cover complexity  Neural network smoothness  
Separation Between Quantum Lovasz Number and Entanglement-Assisted Zero-Error Classical Capacity 期刊论文
IEEE TRANSACTIONS ON INFORMATION THEORY, 2018, 卷号: 64, 期号: 3, 页码: 1454-1460
Authors:  Wang, Xin;  Duan, Runyao
Favorite  |  View/Download:52/0  |  Submit date:2018/07/30
Classical communication  Quantum channel  Entanglement-assisted zero-error capacity  Lovasz number  non-commutative graph theory  
A new fully polynomial time approximation scheme for the interval subset sum problem 期刊论文
JOURNAL OF GLOBAL OPTIMIZATION, 2017, 卷号: 68, 期号: 4, 页码: 749-775
Authors:  Diao, Rui;  Liu, Ya-Feng;  Dai, Yu-Hong
Favorite  |  View/Download:28/0  |  Submit date:2018/07/30
Interval subset sum problem  Computational complexity  Solution structure  Fully polynomial time approximation scheme  Worst-case performance  
On Zero-Error Communication via Quantum Channels in the Presence of Noiseless Feedback 期刊论文
IEEE TRANSACTIONS ON INFORMATION THEORY, 2016, 卷号: 62, 期号: 9, 页码: 5260-5277
Authors:  Duan, Runyao;  Severini, Simone;  Winter, Andreas
Favorite  |  View/Download:32/0  |  Submit date:2018/07/30
Quantum information  zero-error capacity  feedback  
No-Signalling-Assisted Zero-Error Capacity of Quantum Channels and an Information Theoretic Interpretation of the Lovasz Number 期刊论文
IEEE TRANSACTIONS ON INFORMATION THEORY, 2016, 卷号: 62, 期号: 2, 页码: 891-914
Authors:  Duan, Runyao;  Winter, Andreas
Favorite  |  View/Download:25/0  |  Submit date:2018/07/30
Graph Theory  quantum information  zero-error information theory  
anewapriorierrorestimateofnonconformingfiniteelementmethods 期刊论文
sciencechinamathematics, 2014, 卷号: 57, 期号: 5, 页码: 887
Authors:  Hu Jun;  Ma Rui;  Shi Zhongci
Favorite  |  View/Download:29/0  |  Submit date:2020/01/10
A new a priori error estimate of nonconforming finite element methods 期刊论文
SCIENCE CHINA-MATHEMATICS, 2014, 卷号: 57, 期号: 5, 页码: 887-902
Authors:  Hu Jun;  Ma Rui;  Shi ZhongCi
Favorite  |  View/Download:20/0  |  Submit date:2021/01/14
nonconforming finite element  consistency error  error estimate  
Stein-type improved estimation of standard error under asymmetric LINEX loss function 期刊论文
STATISTICS, 2009, 卷号: 43, 期号: 2, 页码: 121-129
Authors:  Zou, Guohua;  Zeng, Jie;  Wan, Alan T. K.;  Guan, Zhong
Favorite  |  View/Download:26/0  |  Submit date:2018/07/30
LINEX loss  minimum risk equivariant estimator  pre-test estimation  standard error  Stein-type improved estimator  
ON THE INTERPOLATION ERROR ESTIMATES FOR Q(1) QUADRILATERAL FINITE ELEMENTS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 卷号: 47, 期号: 1, 页码: 467-486
Authors:  Mao, Shipeng;  Nicaise, Serge;  Shi, Zhong-Ci
Favorite  |  View/Download:37/0  |  Submit date:2018/07/30
error estimates  quadrilateral elements  isoparametric finite elements  maximal angle condition