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期刊论文 [27]
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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-+
作者:
Lu, Lu
;
Jin, Pengzhan
;
Pang, Guofei
;
Zhang, Zhongqiang
;
Karniadakis, George Em
收藏
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浏览/下载:76/0
  |  
提交时间:2021/06/01
A numerical approach to Kolmogorov equation in high dimension based on Gaussian analysis
期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 493, 期号: 1, 页码: 29
作者:
Flandoli, Franco
;
Luo, Dejun
;
Ricci, Cristiano
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浏览/下载:72/0
  |  
提交时间:2021/01/14
Kolmogorov equation
Numerical solution
Iteration schema
Gaussian process
On Bernstein type inequalities for stochastic integrals of multivariate point processes
期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2019, 卷号: 129, 期号: 5, 页码: 1605-1621
作者:
Wang, Hanchao
;
Lin, Zhengyan
;
Su, Zhonggen
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  |  
浏览/下载:2/0
  |  
提交时间:2019/12/11
Bernstein inequality
Doleans-Dade exponential
Generic chaining method
Kakutani Hellinger distance
Multivariate point process
On Bernstein type inequalities for stochastic integrals of multivariate point processes
期刊论文
Stochastic Processes and their Applications, 2018
作者:
Wang H.
;
Lin Z.
;
Su Z.
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  |  
浏览/下载:3/0
  |  
提交时间:2019/12/11
Bernstein inequality
Doléans-Dade exponential
Generic chaining method
Kakutani–Hellinger distance
Multivariate point process
On the fourth moment theorem for complex multiple Wiener-It(o)over-cap integrals
其他
2017-01-01
Chen, Yong
;
Liu, Yong
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浏览/下载:8/0
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提交时间:2017/12/03
Central limit theorem
complex Gaussian isonormal process
complex hermite
polynomials
fourth moment theorem
Wiener
It (o)over-cap chaos decomposition.
CENTRAL LIMIT-THEOREMS
STOCHASTIC INTEGRALS
MALLIAVIN CALCULUS
STEINS METHOD
CONVERGENCE
CHAOS
Weak convergence to a class of multiple stochastic integrals (EI收录)
期刊论文
Communications in Statistics - Theory and Methods, 2017, 卷号: 46, 页码: 8355-8368
作者:
Sun, Xichao[1]
;
Yan, Litan[2]
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浏览/下载:6/0
  |  
提交时间:2019/04/24
Integral equations
Stochastic systems
Deviation inequalities, moderate deviation principles for certain Gaussian functionals, and their applications in parameter estimation
期刊论文
STOCHASTIC ANALYSIS AND APPLICATIONS, 2017, 卷号: 35, 页码: 615-632
作者:
Jiang, Hui[1]
;
Li, Shimin[1]
;
Wang, Shaochen[2]
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浏览/下载:3/0
  |  
提交时间:2019/04/24
Deviation inequalities
minimum distance estimator
moderate deviation principle
multiple Wiener-Ito integrals
Ornstein-Uhlenbeck process
Stochastic integrals and BDG's inequalities in Orlicz-type spaces
期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2017, 卷号: 127, 期号: 10
作者:
Xie, Yingchao
;
Zhang, Xicheng
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浏览/下载:3/0
  |  
提交时间:2019/12/05
Stochastic integral
Good lambda-inequality
BDG's inequality
Orlicz space
Quasi-Banach space
Regularly varying function
Transient stochastic response of quasi-partially integrable Hamiltonian systems
期刊论文
http://dx.doi.org/10.1007/s00419-013-0788-8, 2014
Liu, Z.H.
;
Geng, J.H.
;
Zhu, W.Q.
;
刘中华
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  |  
浏览/下载:6/0
  |  
提交时间:2015/07/22
Fokker Planck equation
Galerkin methods
Monte Carlo methods
Probability density function
Stochastic systems
Transient analysis
Transient stochastic response of quasi integerable Hamiltonian systems
期刊论文
http://dx.doi.org/10.1007/s10409-013-0044-z, 2013
Liu, Zhong-Hua
;
Geng, Jian-Hua
;
Zhu, Wei-Qiu
;
刘中华
;
朱位秋
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  |  
浏览/下载:3/0
  |  
提交时间:2015/07/22
NONSTATIONARY PROBABILITY DENSITIES
NONLINEAR RANDOM VIBRATION
APPROXIMATE METHOD
NOISE EXCITATIONS
ENVELOPE
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