Results 11 to 20 of about 1,147 (194)
Hessian Regularization Based Factorization Algorithm Combining Multi-view and Non-negative Matrix [PDF]
Jisuanji gongcheng, 2017 Non-negative matrix does not consider the manifold of data when represents multi-view data,which results in the ineffective express of the data internal expression.In this paper,Hessian regularized Non-negative Matrix Factorization(NMF) is proposed.By ...
WANG Chaofeng,SHI Jun,WU Jinjie,ZHU Jie
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Hessian Operators on Constraint Manifolds [PDF]
Journal of Nonlinear Science, 2015 On a constraint manifold we give an explicit formula for the Hessian matrix of a cost function that involves the Hessian matrix of a prolonged function and the Hessian matrices of the constraint functions. We give an explicit formula for the case of the orthogonal group ${\bf O}(n)$ by using only Euclidean coordinates on $\mathbb{R}^{n^2}$.
Petre Birtea, Dan Comanescu
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Regularity of degenerate k-Hessian equations on closed Hermitian manifolds
Advanced Nonlinear Studies, 2022 In this article, we are concerned with the existence of weak C1,1{C}^{1,1} solution of the kk-Hessian equation on a closed Hermitian manifold under the optimal assumption of the function in the right-hand side of the equation.
Zhang Dekai
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Cancer Reports, EarlyView., 2023 Abstract Background A methodology to assess the immune microenvironment (IME) of non‐small cell lung cancer (NSCLC) has not been established, and the prognostic impact of IME factors is not yet clear. Aims This study aimed to assess the IME factors and evaluate their prognostic values. Methods and Results We assessed CD8+ tumor‐infiltrating lymphocyte (
Yukihiro Terada +16 more
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The Pontryagin Forms of Hessian Manifolds [PDF]
, 2015 We show that Hessian manifolds of dimensions 4 and above must have vanishing Pontryagin forms. This gives a topological obstruction to the existence of Hessian metrics. We find an additional explicit curvature identity for Hessian 4-manifolds. By contrast, we show that all analytic Riemannian 2-manifolds are Hessian.
John Armstrong, Shun-ichi Amari
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Hessian manifolds of nonpositive constant Hessian sectional curvature [PDF]
Tohoku Mathematical Journal, 2013 We classify the maximal Hessian manifolds of constant Hessaian sectional curvature nonpositive.
Furuhata, Hitoshi, Kurose, Takashi
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Homogeneous hessian manifolds [PDF]
Annales de l'Institut Fourier, 1980 A flat affine manifold is said to Hessian if it is endowed with a Riemannian metric whose local expression has the form g i j
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Curvature of Hessian manifolds
Differential Geometry and its Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Amari, J. Armstrong
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On Hypersurfaces of Hessian Manifolds with Constant Hessian Sectional Curvature [PDF]
Journal of Mathematics and Statistics, 2005 In this study, we give one instrinsic inequality for Riemannian hypersurfaces in Hessian manifolds and sufficient and necessary condition for such hypersurfaces to be totally geodesic.
Mehmet Bektas +2 more
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Nonlinear Feature Extraction Through Manifold Learning in an Electronic Tongue Classification Task
Sensors, 2020 A nonlinear feature extraction-based approach using manifold learning algorithms is developed in order to improve the classification accuracy in an electronic tongue sensor array.
Jersson X. Leon-Medina +3 more
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