The continuation problem for a positive definite func-
Design of Positive-Definite Quaternion Kernels
... the problem at hand; in kernel regression, for example, the kernel weights can be found through kernel least mean square [1], [2], kernel recursive least squares [3], and kernel ridge regression ...
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Positive Definite Sparse Precision Matrix Estimation
... Recently, Zhang et al. [9] consider a constrained convex optimization frame- work for high-dimensional precision matrix. They used lasso penalized D-trace loss replace traditional lasso function, and enforced the ...
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Generalised Eigenvalue Problem and Definite Matrix Pairs
... eigenvalue problem for a given matrix is defined, as well as the terms of eigenvalues, eigenvectors and characteristic poly- nomial of ...eigenvalue problem for matrix pair, and also define eigenvalues, ...
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Positive Definite Operator Valued Kernels and Integral Representations
... Keywords: Unitary-Operator; Self-Adjoint Operator; Joint Spectral Measure of a Commuting Tuple of Operators; Spectral Projector; Complex Moments; Analytic Vectorial Functions 1. Introduction About the scalar complex ...
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Positive Definite Matrices: Compression, Decomposition, Eigensolver, and Concentration
... for positive semidefinite matrices (PSD) matrices, is one of the most fundamental tasks in many scientific ...the problem of predicting electronic properties in complex structural systems ...
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Symmetric and Positive Definite Broyden Update for Unconstrained Optimization
... solve problem 3 at all starting points because the singularity of the Hessian matrix but SPBR1 can get the minimum of this problem at all starting ...
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Strong Unique Continuation for Solutions of a Laplacian Problem
... Unique Continuation Property ...Unique Continuation Property ...a positive answer for a radial potential V to Simon’s conjecture, which stated that for a potential V in the Stummel-Kato class and u ∈ ...
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Convergence of a Positive-Definite Scaled Symmetric Rank One Method
... preserve positive-definiteness even if this is positive, ...is positive-definite and s T c y c > ...this problem (SSR1 method) is to replace the non-positive definite B ...
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Partial least squares regression on symmetric positive-definite matrices
... possible problem of numeric instability that can appear when using correlation, which is due to the division of covariances by variances that may be too ...
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Differentiable positive definite kernels on two-point homogeneous spaces
... Juiz de Fora, MG, Brasil, 5 Partially supported by CNPq/Brasil and INCTMAT/Brasil. † [email protected], ‡ [email protected], § [email protected] Abstract This work deals with existence of solutions for a class ...
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Kernel Bayes' Rule: Bayesian Inference with Positive Definite Kernels
... For ABC, we used only the rejection method; while there are more advanced sampling schemes (Marjoram et al., 2003; Sisson et al., 2007), their implementation is dependent on the problem being solved. Various ...
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Hierarchical multimodal hub location problem with time-definite deliveries
... The first two columns of Table 2 list the input parameters: T and p. The third column presents the optimal objective func- tion value, the fourth and fifth columns present the optimal locations of the ground and ...
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Hybrid Methods for Optimization Problems with Positive. Semi Definite Matrix Constraints
... the positive semi– definite matrix as a convex constraint ...One problem is the Euclidean distance problem and the other two problems are different forms of the educational testing ...
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Random projections on manifolds of Symmetric Positive Definite matrices for image classification
... To address the above issue, two lines of research have been proposed: (1) embedding manifolds into tangent spaces [21, 24, 27, 35, 36]; (2) embedding into Reproduc- ing Kernel Hilbert Spaces (RKHS), induced by kernel ...
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Random projections on manifolds of symmetric positive definite matrices for image classification
... To address the above issue, two lines of research have been proposed: (1) embedding manifolds into tangent spaces [ 21 , 24 , 27 , 35 , 36 ]; (2) embedding into Reproduc- ing Kernel Hilbert Spaces (RKHS), induced by ...
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UNBOUNDED POSITIVE DEFINITE FUNCTIONS
... / positive definite for F, where F is a set of functions on R, if the integral in (2) exists and is non-negative for every (p G ...is positive definite for C c is the Fourier-Stieltjes ...
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Complementarity Problems And Positive Definite Matrices
... of positive definite and positive semidefinite matrices is one of the most frequently encountered matrix classes both in theory and ...by positive semidefinite matrices have some interesting ...
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POSITIVE DEFINITE SOLUTION OF NONLINEAR MATRIX EQUATIONS
... Qingdao, Shandong, China * Author for Correspondence ABSTRACT In this paper, we study the nonlinear matrix equations(1).First, we obtain the condition for the existence of positive definite solution for the ...
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On The Frobenius Condition Number of Positive Definite Matrices
... a positive definite matrix depending on trace, determinant, and Frobenius norm of a positive definite matrix and compare these results with other ...
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Matrices whose hermitian part is positive definite
... pleasant place to work. I have enjoyed living with the men of Fleming House for two years, and in the Department of Mathematics the faculty members have always been gene[r] ...
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