RIEMANNIAN

作品数：151被引量：121H指数：5
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相关领域：理学自动化与计算机技术更多>>
相关作者：高拂晓唐小波郭子扬张静吴金文更多>>
相关机构：华南师范大学华中科技大学西华师范大学中国科学技术大学更多>>
相关期刊：《Chinese Physics Letters》《Acta Mathematicae Applicatae Sinica》《Journal of Communications and Information Networks》《Acta Mathematica Scientia》更多>>
相关基金：国家自然科学基金天津市自然科学基金北京市自然科学基金宁波市自然科学基金更多>>
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Robust wideband waveform design with constant modulus and discrete phase constraints for distributed precision jamming
《Frontiers of Information Technology & Electronic Engineering》2025年第1期119-133,共15页Qingsong ZHOU Jialong QIAN Zhongping YANG Chao HUANG Qinxian CHEN Yibo XU Zhengkai WEI 
supported by the National Natural Science Foundation of China(No.62301581);the Postgraduate Scientific Research Innovation Project of Hunan Province,China(No.CX20230045)。
Distributed precision jamming(DPJ)is a novel blanket jamming concept in electronic warfare,which delivers the jamming resource to the opponent equipment precisely and ensures that friendly devices are not affected.Rob...
关键词：Wideband waveform design Constant modulus(CM) Discrete phase Riemannian conjugate gradient(RCG) Distributed precision jamming(DPJ) 
A SCHWARZ LEMMA FOR TRANSVERSALLY V-HARMONIC MAPS BETWEEN RIEMANNIAN FOLIATED MANIFOLDS
《Acta Mathematica Scientia》2024年第6期2509-2526,共18页Xin HUANG 
supported by the NSFC(11771087,12171091)。
In this paper,we prove a transversal V-Laplacian comparison theorem under a transversal Bakry-Emery Ricci condition.We establish a Schwarz type lemma for transversally V-harmonic maps of bounded generalized transversa...
关键词：Schwarz lemma transversal V-Laplacian comparison theorem transversally V-harmonic map 
A Study on the Second Order Tangent Bundles over Bi-Kählerian Manifolds
《Chinese Annals of Mathematics,Series B》2024年第5期777-804,共28页Nour Elhouda DJAA Aydin GEZER Abderrahim ZAGANE 
This paper aims to study the Berger type deformed Sasaki metric g_(BS)on the second order tangent bundle T^(2)M over a bi-Kählerian manifold M.The authors firstly find the Levi-Civita connection of the Berger type def...
关键词：Berger type deformed Sasaki metric Bi-Kählerian structure GEODESICS Harmonicity Riemannian curvature tensor Second order tangent bundle 
Affine Connections and Gauss-Bonnet Theorems in the Heisenberg Group
《数学进展》2024年第5期1103-1119,共17页WANG Yong 
Supported by NSFC(No.11771070).
In this paper,we compute sub-Riemannian limits of Gaussian curvature associated to two kinds of Schouten-Van Kampen affine connections and the adapted connection for a Euclidean C2-smooth surface in the Heisenberg gro...
关键词：Schouten-Van Kampen affine connection the adapted connection Gauss-Bonnet theorem sub-Riemannian limit Heisenberg group 
A TRUST-REGION METHOD FOR SOLVING TRUNCATED COMPLEX SINGULAR VALUE DECOMPOSITION
《Journal of Computational Mathematics》2024年第4期999-1031,共33页Jiaofen Li Lingchang Kong Xuefeng Duan Xuelin Zhou Qilun Luo 
supported by the National Natural Science Foundation of China(Grant Nos.12261026,11961012,12201149);by the Natural Science Foundation of Guangxi Province(Grant Nos.2016GXNSFAA380074,2023GXNSFAA026067);by the Innovation Project of GUET Graduate Education(Grant No.2022YXW01);by the GUET Graduate Innovation Project(Grant No.2022YCXS142);by the Guangxi Key Laboratory of Automatic Detecting Technology and Instruments(Grant Nos.YQ23103,YQ21103,YQ22106);by the Special Fund for Science and Technological Bases and Talents of Guangxi(Grant No.2021AC06001);by the Guizhou Science and Technology Program of Projects(Grant No.ZK2021G339)。
The truncated singular value decomposition has been widely used in many areas of science including engineering,and statistics,etc.In this paper,the original truncated complex singular value decomposition problem is fo...
关键词：Truncated singular value decomposition Riemannian optimization Trust-region method 
Cooperative Distributed Beamforming Design for Multi-RIS Aided Cell-Free Systems
《ZTE Communications》2024年第2期99-106,共8页ZHU Yuting XU Zhiyu ZHANG Hongtao 
Cell-free systems significantly improve network capacity by enabling joint user service without cell boundaries,eliminating intercell interference.However,to satisfy further capacity demands,it leads to high-cost prob...
关键词：cell-free systems reconfigurable intelligent surface cooperative distributed beamforming Riemannian conjugate gradient 
Convergence of Hyperbolic Neural Networks Under Riemannian Stochastic Gradient Descent
《Communications on Applied Mathematics and Computation》2024年第2期1175-1188,共14页Wes Whiting Bao Wang Jack Xin 
partially supported by NSF Grants DMS-1854434,DMS-1952644,and DMS-2151235 at UC Irvine;supported by NSF Grants DMS-1924935,DMS-1952339,DMS-2110145,DMS-2152762,and DMS-2208361,and DOE Grants DE-SC0021142 and DE-SC0002722.
We prove,under mild conditions,the convergence of a Riemannian gradient descent method for a hyperbolic neural network regression model,both in batch gradient descent and stochastic gradient descent.We also discuss a ...
关键词：Hyperbolic neural network Riemannian gradient descent Riemannian Adam(RAdam) Training convergence 
SOLVING SYSTEMS OF PHASELESS EQUATIONS VIA RIEMANNIAN OPTIMIZATION WITH OPTIMAL SAMPLING COMPLEXITY
《Journal of Computational Mathematics》2024年第3期755-783,共29页Jianfeng Cai Ke Wei 
A Riemannian gradient descent algorithm and a truncated variant are presented to solve systems of phaseless equations|Ax|^(2)=y.The algorithms are developed by exploiting the inherent low rank structure of the problem...
关键词：Phaseless equations Riemannian gradient descent Manifold of rank-1 and positive semidefinite matrices Optimal sampling complexity 
A Riemannian Inertial Mann Algorithm for Nonexpansive Mappings on Hadamard Manifolds
《Numerical Mathematics(Theory,Methods and Applications)》2023年第4期954-967,共14页Teng-Teng Yao Xiao-Qing Jin Zhi Zhao 
the first author is supported by the Zhejiang Provincial Natural Science Foundation of China(Grant No.LY21A010004);the National Natural Science Foundation of China(Grant No.11701514);The research of the second author is supported by the research grants MYRG2019-00042-FST and CPG2023-00023-FST from University of Macao;The research of the third author is supported by the Zhejiang Provincial Natural Science Foundation of China(Grant No.LY21A010010);the National Natural Science Foundation of China(Grant No.11601112).
The problem of finding fixed points of nonexpansive mappings on Hadamard manifolds is considered in this paper.To solve this kind of problem,we propose a modified Riemannian Mann algorithm with inertial effect.Under t...
关键词：Nonexpansive mapping Hadamard manifold fixed point inertial Mann algorithm 
OBSTACLE PROBLEMS ON RCD(K,N)METRIC MEASURE SPACES
《Acta Mathematica Scientia》2023年第5期1925-1944,共20页林锶坍 
supported by the National Key R&Dprogram of China(2021YFA1003001)。
In this paper,we solve the obstacle problems on metric measure spaces with generalized Ricci lower bounds.We show the existence and Lipschitz continuity of the solutions,and then we establish some regularities of the ...
关键词：obstacle problem metric measure space Riemannian curvature-dimension condition 
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