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Algorithms yield upper bounds in differential algebra 期刊论文
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2021, 页码: 23
作者:  Li, Wei;  Ovchinnikov, Alexey;  Pogudin, Gleb;  Scanlon, Thomas
收藏  |  浏览/下载：101/0  |  提交时间：2022/04/02
delay PDEs  elimination of unknowns  uniform bounds  oracle machine  
Rational dynamical systems, S-units, and D-finite power series 期刊论文
ALGEBRA & NUMBER THEORY, 2021, 卷号: 15, 期号: 7, 页码: 1699-1728
作者:  Bell, Jason P.;  Chen, Shaoshi;  Hossain, Ehsaan
收藏  |  浏览/下载：101/0  |  提交时间：2022/04/02
S-units  D-finite series  arithmetic dynamics  algebraic groups  orbits  
An Adaptive Surrogate Modeling Based on Deep Neural Networks for Large-Scale Bayesian Inverse Problems 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2020, 卷号: 28, 期号: 5, 页码: 2180-2205
作者:  Yan, Liang;  Zhou, Tao
收藏  |  浏览/下载：130/0  |  提交时间：2021/01/14
Bayesian inverse problems  deep neural networks  multi-fidelity surrogate modeling  Markov chain Monte Carlo  
Deep spatial-temporal structure learning for rumor detection on Twitter 期刊论文
NEURAL COMPUTING & APPLICATIONS, 2020, 页码: 11
作者:  Huang, Qi;  Zhou, Chuan;  Wu, Jia;  Liu, Luchen;  Wang, Bin
收藏  |  浏览/下载：160/0  |  提交时间：2020/09/23
Rumor detection  Spatial-temporal structure learning  
SOLVING SYSTEMS OF QUADRATIC EQUATIONS VIA EXPONENTIAL-TYPE GRADIENT DESCENT ALGORITHM 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2020, 卷号: 38, 期号: 4, 页码: 638-660
作者:  Huang, Meng;  Xu, Zhiqiang
收藏  |  浏览/下载：138/0  |  提交时间：2020/05/24
Low-rank matrix recovery  Non-convex optimization  Phase retrieval  
Apparent singularities of D-finite systems 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2019, 卷号: 95, 页码: 217-237
作者:  Chen, Shaoshi;  Kauers, Manuel;  Li, Ziming;  Zhang, Yi
收藏  |  浏览/下载：163/0  |  提交时间：2020/01/10
D-finite system  Grobner basis  Ordinary point  Formal power series  Apparent singularity  Desingularization  
Symmetric rank-1 approximation of symmetric high-order tensors 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2019, 页码: 23
作者:  Wu, Leqin;  Liu, Xin;  Wen, Zaiwen
收藏  |  浏览/下载：131/0  |  提交时间：2020/05/24
Rank-1 approximation  symmetric tensor  proximal alternating linearized minimization  Bose?Einstein condensate  
Proof of the Wilf-Zeilberger conjecture for mixed hypergeometric terms 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2019, 卷号: 93, 页码: 133-147
作者:  Chen, Shaoshi;  Koutschan, Christoph
收藏  |  浏览/下载：206/0  |  提交时间：2019/03/11
Wilf-Zeilberger conjecture  Hypergeometric term  Properness  Holonomic function  D-finite function  Ore-Sato theorem  
Adaptive multi-fidelity polynomial chaos approach to Bayesian inference in inverse problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 381, 页码: 110-128
作者:  Yan, Liang;  Zhou, Tao
收藏  |  浏览/下载：165/0  |  提交时间：2019/03/11
Bayesian inverse problems  Multi-fidelity polynomial chaos  Surrogate modeling  Markov chain Monte Carlo  
Data-driven polynomial chaos expansions: A weighted least-square approximation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 381, 页码: 129-145
作者:  Guo, Ling;  Liu, Yongle;  Zhou, Tao
收藏  |  浏览/下载：161/0  |  提交时间：2019/03/11
Uncertainty quantification  Data-driven polynomial chaos expansions  Weighted least-squares  Equilibrium measure