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CLT for approximating ergodic limit of SPDEs via a full discretization 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2023, 卷号: 157, 页码: 1-41
作者:  Chen, Chuchu;  Dang, Tonghe;  Hong, Jialin;  Zhou, Tau
收藏  |  浏览/下载:183/0  |  提交时间:2023/02/07
Central limit theorem  Stochastic partial differential equation  Full discretization  Poisson equation  Ergodic limit  
Interaction-based transcriptome analysis via differential network inference 期刊论文
BRIEFINGS IN BIOINFORMATICS, 2022, 页码: 11
作者:  Leng, Jiacheng;  Wu, Ling-Yun
收藏  |  浏览/下载:80/0  |  提交时间:2023/02/07
differential network inference  differential expression analysis  interaction-based transcriptome analysis  
Understanding the acceleration phenomenon via high-resolution differential equations 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 卷号: 195, 期号: 1-2, 页码: 79-148
作者:  Shi, Bin;  Du, Simon S.;  Jordan, Michael, I;  Su, Weijie J.
收藏  |  浏览/下载:113/0  |  提交时间:2023/02/07
Convex optimization  First-order method  Polyak's heavy ball method  Nesterov's accelerated gradient methods  Ordinary differential equation  Lyapunov function  Gradient minimization  
Lower Bounds on Multivariate Higher Order Derivatives of Differential Entropy 期刊论文
ENTROPY, 2022, 卷号: 24, 期号: 8, 页码: 17
作者:  Guo, Laigang;  Yuan, Chun-Ming;  Gao, Xiao-Shan
收藏  |  浏览/下载:98/0  |  提交时间:2023/02/07
differential entropy  completely monotone  Mckean's conjecture  log-concavity  Gaussian optimality  
Differentially private distributed algorithms for stochastic aggregative games 期刊论文
AUTOMATICA, 2022, 卷号: 142, 页码: 13
作者:  Wang, Jimin;  Zhang, Ji-Feng;  He, Xingkang
收藏  |  浏览/下载:46/0  |  提交时间:2023/02/07
Differential privacy  Stochastic aggregative games  Distributed algorithms  Stochastic approximation  
Optimal Holder continuity and hitting probabilities for SPDEs with rough fractional noises 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 卷号: 512, 期号: 1, 页码: 21
作者:  Hong, Jialin;  Liu, Zhihui;  Sheng, Derui
收藏  |  浏览/下载:90/0  |  提交时间:2023/02/07
Stochastic partial differential equation  Fractional Brownian sheet  Hurst index H < 1/2  Holder exponent  Hitting probability  
Curvature conditions for spatial isotropy 期刊论文
JOURNAL OF GEOMETRY AND PHYSICS, 2022, 卷号: 178, 页码: 14
作者:  Tzanavaris, Kostas;  Seoane, Pau Amaro
收藏  |  浏览/下载:85/0  |  提交时间:2023/02/07
General relativity  Differential geometry  Riemannian geometry  
Differentially private resilient distributed cooperative online estimation over digraphs 期刊论文
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2022, 页码: 19
作者:  Wang, Jimin;  Zhang, Ji-Feng;  Liu, Xiao-Kang
收藏  |  浏览/下载:88/0  |  提交时间:2023/02/07
differential privacy  distributed online estimation  resilient estimation  stochastic approximation  
Linearization of nonlinear Fokker-Planck equations and applications 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 322, 页码: 1-37
作者:  Ren, Panpan;  Roeckner, Michael;  Wang, Feng-Yu
收藏  |  浏览/下载:111/0  |  提交时间:2023/02/07
Nonlinear Fokker-Planck equation  McKean-Vlasov stochastic differential equation  Diffusion process  Ergodicity  Feynman-Kac formula  
Isoconversional models toward the curing kinetics of self-healable epoxy resin TGDDM and acid anhydride 期刊论文
JOURNAL OF APPLIED POLYMER SCIENCE, 2022, 页码: 15
作者:  Ma, Zhihang;  Wang, Xiao;  Li, Junru;  Li, Xinlin;  Zhang, Chuanwei;  Zhang, Ruyi;  Gu, Yan;  Zhang, Pengfei
收藏  |  浏览/下载:108/0  |  提交时间:2023/02/07
differential scanning calorimetry  kinetics  theory and modeling  thermal properties  thermosets