E. Weinan
发表
Lei Wu,
E. Weinan,
Chao Ma,
2020,
CSIAM Transactions on Applied Mathematics.
Long Chen,
E Weinan,
Cheng Tai,
2017,
J. Mach. Learn. Res..
E Weinan,
W. E,
E. Weinan,
2017,
Communications in Mathematics and Statistics.
E Weinan,
Cheng Tai,
Qianxiao Li,
2015,
ICML.
E. Weinan,
P. Ming,
Pingwen Zhang,
2004
.
E. Weinan,
W. Ren,
W. E,
2005
.
Zhanxing Zhu,
E Weinan,
Lei Wu,
2017,
ArXiv.
E. Weinan,
2011
.
E. Weinan,
Chao Ma,
Qingcan Wang,
2019,
ArXiv.
E Weinan,
Haijun Yu,
Qianxiao Li,
2020,
ArXiv.
E. Weinan,
A. Abdulle,
Tiejun Li,
2008
.
E. Weinan,
Lexing Ying,
R. Car,
2009
.
E Weinan,
Xingye Yue,
E. Weinan,
2007,
J. Comput. Phys..
E. Vanden-Eijnden,
B. Engquist,
E. Weinan,
2007
.
E. Weinan,
Jianguo Liu,
1996
.
Jian‐Guo Liu,
E. Weinan,
Weinan E,
1996
.
E. Weinan,
Xiang Zhou,
Andrew Majda,
2010
.
P. Smereka,
E. Weinan,
T. Schulze,
2003
.
E. Vanden-Eijnden,
E. Weinan,
W. Ren,
2002,
cond-mat/0205527.
Towards a Mathematical Understanding of Neural Network-Based Machine Learning: what we know and what we don't
pdf
E Weinan,
Stephan Wojtowytsch,
Lei Wu,
2020,
CSIAM Transactions on Applied Mathematics.
E Weinan,
Lei Wu,
Chao Ma,
2020,
MSML.
E Weinan,
Stephan Wojtowytsch,
E. Weinan,
2020,
IEEE Transactions on Artificial Intelligence.
Jian‐Guo Liu,
E. Weinan,
1995
.
E Weinan,
Weile Jia,
Lin Lin,
2020,
SC20: International Conference for High Performance Computing, Networking, Storage and Analysis.
E. Weinan,
Jinbao Zhao,
Linfeng Zhang,
2020,
2006.03320.
E. Weinan,
R. Car,
Linfeng Zhang,
2017,
1707.01478.
E. Weinan,
M. Hutzenthaler,
Arnulf Jentzen,
2018
.
E Weinan,
E. Weinan,
1994
.
Pan Zhou,
Caiming Xiong,
Jiashi Feng,
2020,
NeurIPS.
E Weinan,
Chao Ma,
Lei Wu,
2018
.
E. Weinan,
W. Ren,
2011
.
E. Vanden-Eijnden,
E. Weinan,
Di Liu,
2005
.
E. Weinan,
W. Ren,
W. E,
2007
.
E. Weinan,
1992
.
E Weinan,
Zydrunas Gimbutas,
Carlos J. García-Cervera,
2003
.
E Weinan,
Assyr Abdulle,
E. Weinan,
2003
.
E Weinan,
Weiqing Ren,
Dan Hu,
2010
.
E Weinan,
Han Wang,
Linfeng Zhang,
2018,
NeurIPS.
E Weinan,
Zhongyi Huang,
E. Weinan,
2001
.
Xiantao Li,
E. Weinan,
Xiantao Li,
2005
.
E Weinan,
Jerry Zhijian Yang,
E. Weinan,
2006
.
E Weinan,
Chi-Wang Shu,
Chi-Wang Shu,
1992
.
E Weinan,
E. Weinan,
1992
.
E Weinan,
Lexing Ying,
Jianfeng Lu,
2009,
0906.1319.
E Weinan,
Edriss S. Titi,
Peter Constantin,
1994
.
E Weinan,
E. Weinan,
Jianguo Liu,
2003
.
E Weinan,
Jianchun Wang,
E. Weinan,
2016
.
E. Weinan,
2003
.
E. Weinan,
Di Liu,
2003
.
E Weinan,
E. Weinan,
Y. Sinai,
1996
.
E Weinan,
Xiantao Li,
E. Weinan,
2005
.
E Weinan,
E. Weinan,
Jianguo Liu,
1996
.
E Weinan,
Jian-Guo Liu,
Jian‐Guo Liu,
1997
.
E. Weinan,
Yao Wang,
2017,
Research in the Mathematical Sciences.
E Weinan,
W. E,
E. Weinan,
2010,
1011.0042.
E Weinan,
Pingwen Zhang,
E. Weinan,
2006
.
E Weinan,
Pan Zhou,
Jiashi Feng,
2020,
NeurIPS.
E. Weinan,
Linfeng Zhang,
Han Wang,
2020,
The journal of physical chemistry. A.
E. Weinan,
2001
.
E. Weinan,
C. García-Cervera,
Jianfeng Lu,
2007
.
Jiequn Han,
E. Weinan,
Jihao Long,
2022,
2205.07990.
E. Weinan,
Weihua Hu,
Jiequn Han,
2022,
2205.08622.
E Weinan,
Han Wang,
Linfeng Zhang,
2019
.
E. Weinan,
R. Car,
Pinchen Xie,
2022,
2205.11839.
E. Weinan,
R. Car,
Linfeng Zhang,
2019,
1906.11434.
E. Weinan,
Jiequn Han,
Jihao Long,
2022,
IFAC-PapersOnLine.
M. Avellaneda,
E. Weinan,
R. Ryan,
1995
.
E. Weinan,
Y. Sinai,
2000
.
E. Vanden-Eijnden,
E. Weinan,
W. Ren,
2002,
cond-mat/0205528.
E. Weinan,
Weihua Hu,
Jiequn Han,
2022,
2209.04078.
E Weinan,
Eric Vanden-Eijnden,
Weiqing Ren,
2003
.
E. Weinan,
P. Sheng,
W. Ren,
2005,
cond-mat/0509076.
E. Vanden-Eijnden,
E. Weinan,
W. Ren,
2002,
math/0212415.
E Weinan,
Eric Vanden-Eijnden,
Cyrill B. Muratov,
2005
.
E Weinan,
Eric Vanden-Eijnden,
Weiqing Ren,
2009,
J. Comput. Phys..
E Weinan,
W. E,
E. Weinan,
1999
.
E. Weinan,
Yajun Zhou,
2019
.
E. Weinan,
C. Muratov,
2002
.
Zhi-Qin John Xu,
E. Weinan,
Yaoyu Zhang,
2022,
Combustion and Flame.
Yaoyu Zhang,
Weinan E,
Yiguang Ju,
2021,
AIAA Scitech 2021 Forum.
E. Weinan,
Jingrun Chen,
Zhouwang Yang,
2022,
Journal of Machine Learning.
E Weinan,
Stephan Wojtowytsch,
E. Weinan,
2020,
ArXiv.
E. Weinan,
Luan Jianfeng,
Yao Yuan,
2014
.
Yang Xiang,
E Weinan,
Li-Tien Cheng,
2003
.
E. Weinan,
R. Car,
Pinchen Xie,
2022,
2211.06558.
B. Engquist,
E. Weinan,
Weinan E,
2002,
physics/0205048.
E. Weinan,
Zhongyi Huang,
2001,
cond-mat/0112173.
E. Weinan,
R. Car,
Linfeng Zhang,
2022,
2211.10824.
E. Weinan,
M. Hutzenthaler,
Arnulf Jentzen,
2016
.
E. Weinan,
A. Samanta,
2016
.
E. Weinan,
Jiequn Han,
Yucheng Yang,
2021,
SSRN Electronic Journal.
E Weinan,
Arnulf Jentzen,
Christian Beck,
2017,
J. Nonlinear Sci..
Lei Wu,
E. Weinan,
Chao Ma,
2020,
MSML.
Derivation of continuum models for the moving contact line problem based on thermodynamic principles
E. Weinan,
W. Ren,
2011
.
Lei Wu,
E Weinan,
Chao Ma,
2018,
Communications in Mathematical Sciences.
E Weinan,
Cheng Tai,
Qianxiao Li,
2018,
J. Mach. Learn. Res..
E. Weinan,
Stephan Wojtowytsch,
2020,
ArXiv.
Lei Wu,
E Weinan,
Chao Ma,
2019,
Science China Mathematics.
Lei Wu,
E Weinan,
Chao Ma,
2019,
ArXiv.
E Weinan,
K. M. Khanin,
E. Weinan,
2000,
math/0005306.
Weinan E,
Haijun Yu,
Qianxiao Li,
2020,
Physical Review Fluids.
Xiaogang Wang,
Tong Xiao,
Cheng Tai,
2015,
ICLR.
Yang Xiang,
E Weinan,
Li-Tien Cheng,
2004
.
E Weinan,
Han Wang,
Linfeng Zhang,
2017,
Physical review letters.
E Weinan,
Robert E. Schapire,
Chu Wang,
2015,
ArXiv.
E Weinan,
Chi-Wang Shu,
Shanqin Chen,
2005,
Multiscale Model. Simul..
E Weinan,
Björn Engquist,
W. E,
2003
.
DeePMD-kit: A deep learning package for many-body potential energy representation and molecular dynamics
pdf
E Weinan,
Han Wang,
Linfeng Zhang,
2017,
Comput. Phys. Commun..
E Weinan,
Xiantao Li,
E. Weinan,
2007
.
E. Weinan,
Y. Xiang,
2002
.
E Weinan,
Eric Vanden-Eijnden,
Björn Engquist,
2007
.
E Weinan,
Di Liu,
Eric Vanden-Eijnden,
2007,
J. Comput. Phys..
E Weinan,
Bing Yu,
E. Weinan,
2017,
Communications in Mathematics and Statistics.
E Weinan,
E. Weinan,
Weinan E,
1994,
Physical review. B, Condensed matter.
E. Weinan,
Yucheng Yang,
Zhong Zheng,
2020,
ArXiv.
Jonathan C. Mattingly,
E. Weinan,
2001
.
E. Weinan,
E. Eijnden,
E. V. Eijnden,
1999,
chao-dyn/9904028.
B. Engquist,
E. Weinan,
1993
.
E Weinan,
Jian-Guo Liu,
Jian‐Guo Liu,
1997
.
E Weinan,
Qianxiao Li,
Jiequn Han,
2018,
Research in the Mathematical Sciences.
E Weinan,
Ling Lin,
Pingwen Zhang,
2010,
J. Comput. Phys..
E Weinan,
Jianfeng Lu,
E. Weinan,
2007
.
E. Weinan,
Luan Jianfeng,
2007
.
Lei Wu,
E. Weinan,
Chao Ma,
2019,
Science China Mathematics.
On the Banach spaces associated with multi-layer ReLU networks: Function representation, approximation theory and gradient descent dynamics
pdf
E Weinan,
Stephan Wojtowytsch,
E. Weinan,
2020,
CSIAM Transactions on Applied Mathematics.
E. Weinan,
Jinbao Zhao,
Linfeng Zhang,
2021,
The Journal of chemical physics.
E Weinan,
Linfeng Zhang,
Yuzhi Zhang,
2019,
Comput. Phys. Commun..
E Weinan,
Qingcan Wang,
E. Weinan,
2021,
2103.16810.
E. Vanden-Eijnden,
E. Weinan,
C. Muratov,
2003,
q-bio/0312013.
F. Otto,
E. Weinan,
1997
.
E Weinan,
E. Weinan,
Xiao Ping Wang,
2001
.
E Weinan,
Linfeng Zhang,
Jiequn Han,
2020,
ArXiv.
E Weinan,
Yakov G. Sinai,
Konstantin Khanin,
1997
.
E Weinan,
Lei Wang,
Linfeng Zhang,
2018,
ArXiv.
E Weinan,
Han Wang,
Linfeng Zhang,
2018,
Physical Review Materials.
E Weinan,
Han Wang,
Linfeng Zhang,
2017,
The Journal of chemical physics.
E. Weinan,
E. Eijnden,
E. V. Eijnden,
1999
.
E Weinan,
Jianfeng Lu,
Xu Yang,
2010,
1010.4912.
E Weinan,
Linfeng Zhang,
Jiequn Han,
2018,
J. Comput. Phys..
E. Weinan,
P. Ming,
Y. Xiang,
2008
.
E Weinan,
Lexing Ying,
Chao Yang,
2010,
SIAM J. Sci. Comput..
E. Weinan,
Weihua Hu,
Jiequn Han,
2022,
2203.06753.
W. E,
E. Weinan,
Jiequn Han,
2021,
CSIAM Transactions on Applied Mathematics.
E. Weinan,
Stephan Wojtowytsch,
2020,
Research in the Mathematical Sciences.
E Weinan,
Björn Engquist,
B. Engquist,
2005
.
E Weinan,
Eric Vanden-Eijnden,
Xiantao Li,
2004
.
Rhys E. A. Goodall,
E. Weinan,
D. York,
2023,
The Journal of chemical physics.
E. Weinan,
Linfeng Zhang,
Han Wang,
2020,
Comput. Phys. Commun..
86 PFLOPS Deep Potential Molecular Dynamics simulation of 100 million atoms with ab initio accuracy
pdf
E Weinan,
Weile Jia,
Lin Lin,
2020,
Comput. Phys. Commun..
E. Vanden-Eijnden,
E. Weinan,
2004
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E Weinan,
Arnulf Jentzen,
Thomas Kruse,
2017,
Journal of Scientific Computing.
Coarse-grained spectral projection (CGSP): A scalable and parallelizable deep learning-based approach to quantum unitary dynamics
pdf
E Weinan,
Pinchen Xie,
E. Weinan,
2020,
ArXiv.
E. Weinan,
Ke Wang,
Xiao Ping Wang,
2005
.
E Weinan,
Xiao-Ping Wang,
E. Weinan,
2000,
SIAM J. Numer. Anal..
E Weinan,
Assyr Abdulle,
Eric Vanden-Eijnden,
2012,
Acta Numerica.
E. Weinan,
Stephan Wojtowytsch,
2020,
Calculus of Variations and Partial Differential Equations.
E. Weinan,
Qianxiao Li,
Jiequn Han,
2022,
J. Mach. Learn. Res..
E. Weinan,
Hongkang Yang,
2020,
MSML.
On the Generalization Properties of Minimum-norm Solutions for Over-parameterized Neural Network Models
pdf
E Weinan,
Chao Ma,
Lei Wu,
2019,
ArXiv.
E Weinan,
Arnulf Jentzen,
Jiequn Han,
2017,
Communications in Mathematics and Statistics.
E Weinan,
Arnulf Jentzen,
Thomas Kruse,
2016
.
E. Weinan,
M. Hutzenthaler,
Arnulf Jentzen,
2016
.
E Weinan,
Björn Engquist,
B. Engquist,
2003
.
E Weinan,
Carlos J. García-Cervera,
Weiqing Ren,
2008
.
W. E,
E. Weinan,
Weinan E,
2020,
Communications in Computational Physics.
E. Weinan,
Linfeng Zhang,
Han Wang,
2020,
The journal of physical chemistry. A.
Dongyan Zhao,
Rui Yan,
E Weinan,
2017,
SIGIR.
E Weinan,
Jianchun Wang,
Chao Ma,
2018,
Communications in Computational Physics.
E Weinan,
E. Weinan,
2000
.
Lei Wu,
Zhanxing Zhu,
E Weinan,
2018,
ArXiv.
Bernard Chazelle,
E Weinan,
Chu Wang,
2015,
2016 IEEE 55th Conference on Decision and Control (CDC).
E. Weinan,
Linfeng Zhang,
Han Wang,
2020,
Journal of chemical theory and computation.
E. Weinan,
E. Eijnden,
1999,
chao-dyn/9901006.
E Weinan,
Jiequn Han,
W. E,
2016,
ArXiv.
Weinan E,
Jiequn Han,
Linfeng Zhang,
2021,
Physics Today.
E. Weinan,
A. Samanta,
2013
.
E. Weinan,
C. García-Cervera,
G. Lu,
2009,
0901.4594.
E Weinan,
Efthimios Kaxiras,
Gang Lu,
2004,
cond-mat/0404414.
E Weinan,
Marco Avellaneda,
M. Avellaneda,
1995
.
E Weinan,
Xingye Yue,
E. Weinan,
2005
.
Zhi-Qin John Xu,
E. Weinan,
Y. Ju,
2022,
ArXiv.
E. Weinan,
E. Weinan,
1997
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Sihong Shao,
E Weinan,
Lin Lin,
2012,
J. Comput. Phys..
Lexing Ying,
Juan C. Meza,
Chao Yang,
2011,
TOMS.
E. Weinan,
N. Yip,
2001
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E Weinan,
Lexing Ying,
Lin Lin,
2011,
J. Comput. Phys..
E Weinan,
Carlos J. García-Cervera,
Jianfeng Lu,
2009
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E Weinan,
Qianxiao Li,
Jiequn Han,
2020,
ICLR.
E Weinan,
Lexing Ying,
Lin Lin,
2011,
J. Comput. Phys..
E Weinan,
Zhongyi Huang,
Björn Engquist,
2003
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E. Weinan,
Jianfeng Lu,
Weinan E,
2014
.
E Weinan,
Jianfeng Lu,
E. Weinan,
2012
.
E. Weinan,
Jianfeng Lu,
2012
.
E. Weinan,
Jianfeng Lu,
2011,
1102.5545.
E Weinan,
E. Weinan,
P. Ming,
2004
.
E. Weinan,
Jianfeng Lu,
2007
.
E Weinan,
Jian-Guo Liu,
Jian‐Guo Liu,
1996
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E Weinan,
Jian-Guo Liu,
Jian‐Guo Liu,
2002,
Math. Comput..
E Weinan,
Haijun Yu,
Xiaoliang Wan,
2015
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E Weinan,
Jian-Guo Liu,
Jian‐Guo Liu,
2000
.
E. Weinan,
Jingrun Chen,
Yixin Luo,
2023,
East Asian Journal on Applied Mathematics.
E. Weinan,
Stephan Wojtowytsch,
2020,
MSML.
E. Weinan,
Stephan Wojtowytsch,
2020,
ArXiv.
E Weinan,
Eric Vanden-Eijnden,
Weiqing Ren,
2005
.
Sauro Succi,
E Weinan,
Efthimios Kaxiras,
2005
.
Weinan E,
E. Weinan,
Weinan E,
2021
.
E Weinan,
Eric Vanden-Eijnden,
E. Vanden-Eijnden,
2001
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E Weinan,
Eric Vanden Eijnden,
E. Weinan,
2000,
nlin/0003028.
E. Weinan,
Yao Wang,
2017
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E Weinan,
Xiantao Li,
Jerry Z. Yang,
2010,
J. Comput. Phys..
E Weinan,
Jianfeng Lu,
E. Weinan,
2019,
Scholarpedia.
E. Vanden-Eijnden,
E. Weinan,
Tiejun Li,
2019,
Graduate Studies in Mathematics.
Tiejun Li,
E Weinan,
Jian Liu,
2012
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The Quenching-Activation Behavior of the Gradient Descent Dynamics for Two-layer Neural Network Models
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E Weinan,
Lei Wu,
Chao Ma,
2020,
ArXiv.
Analysis of the Gradient Descent Algorithm for a Deep Neural Network Model with Skip-connections
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Lei Wu,
E Weinan,
Chao Ma,
2019,
ArXiv.
P. Palffy-Muhoray,
E. Weinan,
P. Palffy-Muhoray,
2002
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E Weinan,
Peter Palffy-Muhoray,
E. Weinan,
2002
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E. Weinan,
Lei Zhang,
Pei Ge,
2021,
Journal of Machine Learning.
Lei Wu,
E. Weinan,
H. Lei,
2020,
Physical review. E.
E. Weinan,
Linfeng Zhang,
S. K. Pandey,
2023,
2307.04638.
E. Weinan,
Arnulf Jentzen,
Hao Shen,
2013,
1302.5930.
E Weinan,
Chi-Wang Shu,
Chi-Wang Shu,
1998
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Lei Wu,
E. Weinan,
Zhanxing Zhu,
2017,
ArXiv.
E Weinan,
Qingcan Wang,
W. E,
2018,
Science China Mathematics.
E Weinan,
Lei Wu,
Chao Ma,
2020,
ArXiv.
E Weinan,
Stephan Wojtowytsch,
E. Weinan,
2020,
ArXiv.
E. Weinan,
Chao Ma,
Qingcan Wang,
2020
.
Misfit elastic energy and a continuum model for epitaxial growth with elasticity on vicinal surfaces
Yang Xiang,
E Weinan,
E. Weinan,
2004
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E. Weinan,
Jun Zhang,
Y. Gao,
2023,
ArXiv.
Yi Sun,
E Weinan,
Björn Engquist,
2011
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E Weinan,
E. Weinan,
2005
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E Weinan,
Xiantao Li,
E. Weinan,
2004
.
E. Weinan,
2002
.
R. Kohn,
E. Weinan,
1991
.
E Weinan,
Björn Engquist,
B. Engquist,
1997
.
Chi-Wang Shu,
E. Weinan,
1992
.
E Weinan,
E. Weinan,
Xingye Yue,
2004
.
Bernard Chazelle,
E Weinan,
Chu Wang,
2015
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Yuan Yao,
E Weinan,
Jianfeng Lu,
2012,
ArXiv.
E Weinan,
Carlos J. García-Cervera,
E. Weinan,
2001
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E Weinan,
Denis Serre,
D. Serre,
1992
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Lei Wu,
E. Weinan,
Cheng Tai,
2018,
ArXiv.
E Weinan,
Peter Palffy-Muhoray,
E. Weinan,
2000
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E. Weinan,
Weihua Hu,
Jiequn Han,
2022,
2205.08622.
E. Weinan,
Qingcan Wang,
2021,
2103.16810.
Overcoming the curse of dimensionality: Solving high-dimensional partial differential equations using deep learning
pdf
E Weinan,
Arnulf Jentzen,
Jiequn Han,
2017,
ArXiv.
E. Weinan,
A. Samanta,
2010,
1009.5612.
E. Weinan,
Zeping Min,
Qian Ge,
2023,
2302.03498.
E. Weinan,
Zeping Min,
Qian Ge,
2023,
ArXiv.
E. Weinan,
Weihua Hu,
Jiequn Han,
2022,
2209.04078.
E Weinan,
Jianfeng Lu,
Roberto Car,
2008,
0812.4352.
E Weinan,
E. Weinan,
1993
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E Weinan,
Chi-Wang Shu,
Yunxian Liu,
2007,
J. Comput. Phys..
E. Vanden-Eijnden,
B. Engquist,
E. Weinan,
2012,
Acta Numerica.
Lin Lin,
E. Weinan,
R. Car,
2020,
SC20: International Conference for High Performance Computing, Networking, Storage and Analysis.
E. Weinan,
Stephan Wojtowytsch,
2020,
Mathematical and Scientific Machine Learning.
E Weinan,
Yaoyu Zhang,
Yiguang Ju,
2020,
ArXiv.
E. Weinan,
E. V. Eijnden,
1999,
chao-dyn/9901029.