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NONNEGATIVE: 作品数：160被引量：130H指数：5; 导出分析报告; 相关领域：理学更多>>; 相关作者：蔡光辉谭力宁王莹马红光曾平更多>>; 相关机构：浙江工商大学齐鲁工业大学首都师范大学中央民族大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家科技支撑计划天津市自然科学基金更多>>

Escobar’s Conjecture on a Sharp Lower Bound for the First Nonzero Steklov Eigenvalue: 《Peking Mathematical Journal》2024年第2期759-778,共20页Chao Xia Changwei Xiong; supported by NSFC(Grant nos.11871406,12271449);supported by Australian Laureate Fellowship FL150100126 of the Australian Research Council;National Key R and D Program of China 2021YFA1001800 and NSFC(Grant no.12171334).; It was conjectured by Escobar(J Funct Anal 165:101–116,1999)that for an ndimensional(n≥3)smooth compact Riemannian manifold with boundary,which has nonnegative Ricci curvature and boundary principal curvatures bound...; 关键词：Stekloveigenvalue Laplacian eigenvalue Sharp bound Nonnegative sectional curvature

Efficient Nonnegative Tensor Decomposition Using Alternating Direction Proximal Method of Multipliers: 《Chinese Journal of Electronics》2024年第5期1308-1316,共9页Deqing WANG Guoqiang HU; supported by the State Key Laboratory of Robotics(Grant No.2023-Z04)'the Natural Science Foundation of Liaoning Province(Grant No.2022-BS-029).; Nonnegative CANDECOMP/PARAFAC(NCP)tensor decomposition is a powerful tool for multiway signal processing.The alternating direction method of multipliers(ADMM)optimization algorithm has become increasingly popular for ...; 关键词：Tensor decomposition Nonnegative CANDECOMP/PARAFAC Alternating direction proximal method of multipliers Proximal algorithm Sparse regularization

The Logarithmic Sobolev Inequality for a Submanifold in Manifolds with Nonnegative Sectional Curvature: 《Chinese Annals of Mathematics,Series B》2024年第3期487-496,共10页Chengyang YI Yu ZHENG; supported by the National Natural Science Foundation of China(No.12271163);the Science and Technology Commission of Shanghai Municipality(No.22DZ2229014);Shanghai Key Laboratory of PMMP.; The authors prove a sharp logarithmic Sobolev inequality which holds for compact submanifolds without boundary in Riemannian manifolds with nonnegative sectional curvature of arbitrary dimension and codimension.Like t...; 关键词：Logarithmic Sobolev inequality Nonnegative sectional curvature SUBMANIFOLD

THE LOGARITHMIC SOBOLEV INEQUALITY FOR A SUBMANIFOLD IN MANIFOLDS WITH ASYMPTOTICALLY NONNEGATIVE SECTIONAL CURVATURE: 《Acta Mathematica Scientia》2024年第1期189-194,共6页东瑜昕林和子陆琳根; Supported by the NSFC(11771087,12171091 and 11831005)。; In this note,we prove a logarithmic Sobolev inequality which holds for compact submanifolds without a boundary in manifolds with asymptotically nonnegative sectional curvature.Like the Michale-Simon Sobolev inequality...; 关键词：asymptotically nonnegative sectional curvature logarithmic Sobolev inequality ABP method

EFFICIENT NONNEGATIVE MATRIX FACTORIZATION VIA MODIFIED MONOTONE BARZILAI-BORWEIN METHOD WITH ADAPTIVE STEP SIZES STRATEGY: 《Journal of Computational Mathematics》2023年第5期866-878,共13页Wenbo Li Jicheng Li Xuenian Liu; the support from the National Natural Science Foundation of China(Nos.12171384,12201492,61976176);the National Science Foundation of Shaanxi(No.2021JM-323).; In this paper,we develop an active set identification technique.By means of the active set technique,we present an active set adaptive monotone projected Barzilai-Borwein method(ASAMPBB)for solving nonnegative matrix ...; 关键词：Adaptive step sizes Alternating nonnegative least squares Monotone projected Barzilai-Borwein method Active set strategy Larger step size

Nonnegative Low Rank Matrix Completion by Riemannian Optimalization Methods: 《Annals of Applied Mathematics》2023年第2期181-205,共25页Guang-Jing Song Michael K.Ng; supported in part by the National Natural Science Foundation of China under Grant No.12171369;Key NSF of Shandong Province under Grant No.ZR2020KA008;supported in part by HKRGC GRF 12300519,17201020 and 17300021,HKRGC CRF C1013-21GF and C7004-21GF;Joint NSFC and RGC N-HKU769/21。; In this paper,we study Riemannian optimization methods for the problem of nonnegative matrix completion that is to recover a nonnegative low rank matrix from its partial observed entries.With the underlying matrix inc...; 关键词：MANIFOLDS tangent spaces nonnegative matrices low rank

Proximal Alternating-Direction-Method-of-Multipliers-Incorporated Nonnegative Latent Factor Analysis被引量：2: 《IEEE/CAA Journal of Automatica Sinica》2023年第6期1388-1406,共19页Fanghui Bi Xin Luo Bo Shen Hongli Dong Zidong Wang; supported by the National Natural Science Foundation of China(62272078,U21A2019);the Hainan Province Science and Technology Special Fund of China(ZDYF2022SHFZ105);the CAAI-Huawei MindSpore Open Fund(CAAIXSJLJJ-2021-035A)。; High-dimensional and incomplete(HDI)data subject to the nonnegativity constraints are commonly encountered in a big data-related application concerning the interactions among numerous nodes.A nonnegative latent factor...; 关键词：NONNEGATIVE REPRESENTATION CONVERGENCE

Fujita-Kato Theorem for the Inhomogeneous Incompressible Navier-Stokes Equations with Nonnegative Density: 《Communications in Mathematical Research》2023年第1期79-106,共28页Jianzhong Zhang Hongmei Cao; The second author(H.Cao)is supported by the National Natural Science Foundation of China(No.12001269);the Fundamental Research Funds for the Central Universities of China.; .In this paper,we prove the global existence and uniqueness of so-lutions for the inhomogeneous Navier-Stokes equations with the initial data(ρ_(0),u_(0))∈L^(∞)×H^(s) _(0),s>1/2 and ||u_(0)||H^(s)_(0)≤ε0 in boun...; 关键词：Inhomogeneous Navier-Stokes equations nonnegative density global exis-tence and uniqueness

Transformation Semigroup of Alternating Nonnegative Integers: 《Advances in Pure Mathematics》2022年第11期614-623,共10页Adenike Olusola Adeniji Janet Ifiok Obafemi; Set of integers, Z_n is split into even-odd parts. The even part is arranged in ways, while the odd part fixes one point at a time to compliment the even part thereby forming the semigroup, AZ_n. T...; 关键词：Green’s Relations Partial Order Relation IDEMPOTENTS Band GENERATOR

Unsupervised hyperspectral unmixing based on robust nonnegative dictionary learning被引量：1: 《Journal of Systems Engineering and Electronics》2022年第2期294-304,共11页LI Yang JIANG Bitao LI Xiaobin TIAN Jing SONG Xiaorui; supported by the National Natural Science Foundation of China(61801513).; Considering the sparsity of hyperspectral images(HSIs),dictionary learning frameworks have been widely used in the field of unsupervised spectral unmixing.However,it is worth mentioning here that existing dictionary l...; 关键词：hyperspectral image(HSI) nonnegative dictionary learning norm loss function unsupervised unmixing

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