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Learning to rank with a Weight Matrix
The 2010 14th International Conference on Computer Supported Cooperative Work in Design, 2010Learning to rank, a task applying machine learning techniques to rank the expected information of the users, such as movie items users might be interested in. It is useful for collaborative filtering, which is regarded as a hot subfield of computer supported collaborative work(CSCW).
Zewu Peng +3 more
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Integer matrix rank certification
Proceedings of the 2009 international symposium on Symbolic and algebraic computation, 2009Let M = [A B/C D] be a 2n x 2n integer matrix with the principal block A square and nonsingular. An algorithm is presented to determine if the Schur complement D--CA--1B is equal to the zero matrix in O~(nω log ||M||) bit operations. Here, ω is the exponent of matrix multiplication and ||M|| denotes the largest entry in absolute value. The algorithm is
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Matrix Inversion by the Annihilation of Rank
Journal of the Society for Industrial and Applied Mathematics, 1959can be readily verified, and provides a method of finding the inverse of a matrix which differs from a matrix of known inverse by a matrix of raiik unity. Equation (1) was originally derived by Sherman and Morrison [1], used by Bartlett [2], and generalized by Woodbury [3], as reported by Householder [4]. Now, since an arbitrary matrix can obviously be
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Maximum Matching and the Rank of a Matrix
SIAM Journal on Applied Mathematics, 1975The rank of a matrix A is related to the cardinality of a maximum matching in a graph G formed from A by considering whether the matrix entries of A are nonzero, but ignoring their magnitudes otherwise. We consider real matrices which can be written as the sum of a skew matrix and a diagonal matrix.
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Robust rank-one matrix completion with rank estimation
Pattern Recognition, 2023Feiping Nie, Ziheng Li
exaly
Color Image Recovery Using Low-Rank Quaternion Matrix Completion Algorithm
IEEE Transactions on Image Processing, 2022Jifei Miao, Kit Ian Kou
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Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
SIAM Review, 2010Benjamin Recht +2 more
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Nonnegative low rank matrix approximation for nonnegative matrices
Applied Mathematics Letters, 2020Michael Ng, Guang-Jing Song
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