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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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Optimal rate of convergence for two classes of schemes to stochastic differential equations driven by fractional Brownian motions
期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 卷号: 41, 期号: 2, 页码: 1608-1638
Authors:
Hong, Jialin
;
Huang, Chuying
;
Wang, Xu
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View/Download:77/0
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Submit date:2021/10/26
fractional Brownian motion
strong convergence rate
Runge-Kutta method
simplified step-N Euler scheme
STRONG CONVERGENCE OF FULL DISCRETIZATION FOR STOCHASTIC CAHN-HILLIARD EQUATION DRIVEN BY ADDITIVE NOISE
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 6, 页码: 2866-2899
Authors:
Cui, Jianbo
;
Hong, Jialin
;
Sun, Liying
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View/Download:58/0
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Submit date:2022/04/02
stochastic Cahn-Hilliard equation
spectral Galerkin method
accelarated implicit Euler method
strong convergence rate
Optimal strong convergence rate of a backward Euler type scheme for the Cox-Ingersoll-Ross model driven by fractional Brownian motion
期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 卷号: 130, 期号: 5, 页码: 2675-2692
Authors:
Hong, Jialin
;
Huang, Chuying
;
Kamrani, Minoo
;
Wang, Xu
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View/Download:104/0
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Submit date:2020/06/30
Cox-Ingersoll-Ross model
Fractional Brownian motion
Backward Euler scheme
Optimal strong convergence rate
Malliavin calculus
Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen-Cahn equation
期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 2096-2134
Authors:
Brehier, Charles-Edouard
;
Cui, Jianbo
;
Hong, Jialin
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View/Download:120/0
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Submit date:2020/01/10
stochastic Allen-Cahn equation
splitting scheme
strong convergence rate
exponential integrability
Strong convergence rate of splitting schemes for stochastic nonlinear Schrodinger equations
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 266, 期号: 9, 页码: 5625-5663
Authors:
Cui, Jianbo
;
Hong, Jialin
;
Liu, Zhihui
;
Zhou, Weien
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View/Download:106/0
  |  
Submit date:2019/03/11
Stochastic nonlinear Schrodinger equation
Strong convergence rate
Exponential integrability
Splitting scheme
Non-monotone coefficients
Optimal distributed stochastic mirror descent for strongly convex optimization
期刊论文
AUTOMATICA, 2018, 卷号: 90, 页码: 196-203
Authors:
Yuan, Deming
;
Hong, Yiguang
;
Ho, Daniel W. C.
;
Jiang, Guoping
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View/Download:109/0
  |  
Submit date:2018/07/30
Distributed stochastic optimization
Strong convexity
Non-Euclidean divergence
Mirror descent
Epoch gradient descent
Optimal convergence rate
Decision-Based System Identification and Adaptive Resource Allocation
期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 卷号: 62, 期号: 5, 页码: 2166-2179
Authors:
Guo, Jin
;
Mu, Biqiang
;
Wang, Le Yi
;
Yin, George
;
Xu, Lijian
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View/Download:66/0
  |  
Submit date:2018/07/30
Complexity
decision
resource allocation
system identification
Exponential inequalities for associated random variables and strong laws of large numbers
期刊论文
Science in China. Series A: Mathematics, 2007, 卷号: 50, 期号: 5, 页码: 705
Authors:
Shanchao YANG
;
Min CHEN
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View/Download:76/0
  |  
Submit date:2018/07/30
Asymptotic efficiency of perturbation-analysis-based stochastic approximation with averaging
期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1999, 卷号: 37, 期号: 6, 页码: 1822-1847
Authors:
Tang, QY
;
L'Ecuyer, P
;
Chen, HF
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View/Download:82/0
  |  
Submit date:2018/07/30
perturbation analysis
asymptotic efficiency
central limit theorems
stochastic approximation
recursive estimation
queueing theory