针对传统支持向量回归机在机制上难以直接对时变信号进行处理的问题,提出了一种用于时间序列预测的过程支持向量回归模型,采用涡流搜索算法优化选择模型参数,采用UCI(University of California Irvine)数据库的空气质量数据集和比利时SI...针对传统支持向量回归机在机制上难以直接对时变信号进行处理的问题,提出了一种用于时间序列预测的过程支持向量回归模型,采用涡流搜索算法优化选择模型参数,采用UCI(University of California Irvine)数据库的空气质量数据集和比利时SIDC(Solar Influences Data Analysis Center)的太阳黑子数据进行仿真实验。实验结果表明,该模型预测结果均优于粒子群过程支持向量回归机和支持向量回归机的预测结果,具有较好的预测能力。展开更多
In this paper,we mainly study the global rigidity theorem of Riemannian submanifolds in space forms.Let Mn(n≥3)be a complete minimal submanifold in the unit sphere Sn+p(1).Forλ∈[0,n2−1/p),there is an explicit posit...In this paper,we mainly study the global rigidity theorem of Riemannian submanifolds in space forms.Let Mn(n≥3)be a complete minimal submanifold in the unit sphere Sn+p(1).Forλ∈[0,n2−1/p),there is an explicit positive constant C(n,p,λ),depending only on n,p,λ,such that,if∫MSn/2dM<∞,∫M(S−λ)n/2+dM<C(n,p,λ),then Mn is a totally geodetic sphere,where S denotes the square of the second fundamental form of the submanifold and∫+=max{0,f}.Similar conclusions can be obtained for a complete submanifold with parallel mean curvature in the Euclidean space Rn+p.展开更多
文摘针对传统支持向量回归机在机制上难以直接对时变信号进行处理的问题,提出了一种用于时间序列预测的过程支持向量回归模型,采用涡流搜索算法优化选择模型参数,采用UCI(University of California Irvine)数据库的空气质量数据集和比利时SIDC(Solar Influences Data Analysis Center)的太阳黑子数据进行仿真实验。实验结果表明,该模型预测结果均优于粒子群过程支持向量回归机和支持向量回归机的预测结果,具有较好的预测能力。
基金supported by the National Natural Science Foundation of China(11531012,12071424,12171423)the Scientific Research Project of Shaoxing University(2021LG016)。
文摘In this paper,we mainly study the global rigidity theorem of Riemannian submanifolds in space forms.Let Mn(n≥3)be a complete minimal submanifold in the unit sphere Sn+p(1).Forλ∈[0,n2−1/p),there is an explicit positive constant C(n,p,λ),depending only on n,p,λ,such that,if∫MSn/2dM<∞,∫M(S−λ)n/2+dM<C(n,p,λ),then Mn is a totally geodetic sphere,where S denotes the square of the second fundamental form of the submanifold and∫+=max{0,f}.Similar conclusions can be obtained for a complete submanifold with parallel mean curvature in the Euclidean space Rn+p.
