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Processing Ranked Queries with the Minimum Space
2006Practical applications often need to rank multi-variate records by assigning various priorities to different attributes. Consider a relation that stores students' grades on two courses: database and algorithm. Student performance is evaluated by an “overall score” calculated as w1 · gdb + w2 · galg, where w1, w2 are two input “weights”, and gdb (galg ...
Yufei Tao, Marios Hadjieleftheriou
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On the minimum rank of distance matrices
Mathematical Inequalities & ApplicationsSummary: Let \(X= \{x_1,\dots,x_n\}\) be afinite set endowed with a metric \(d\). The matrix \(A=(d(x_i,x_j))_{n \times n}\) is called a distance matrix. In this paper we discuss about the minimum rank that can be achieved by an \(n \times n\) distance matrix and prove that the rank of every \(5 \times 5\) and \(6 \times 6\) distance matrix is not less
Gachkooban, Zahra, Alizadeh, Rahim
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Triangular ranks do not bound minimum ranks in matrix completion
Tunisian Journal of MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Computational and Theoretical Challenges for Computing the Minimum Rank of a Graph
INFORMS Journal on Computing, 2022Illya V Hicks
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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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On the Hardness of the Decoding and the Minimum Distance Problems for Rank Codes
IEEE Transactions on Information Theory, 2016Philippe Gaborit
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ADMiRA: Atomic Decomposition for Minimum Rank Approximation
IEEE Transactions on Information Theory, 2010Kiryung Lee, Yoram Bresler
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On minimum rank and zero forcing sets of a graph
Linear Algebra and Its Applications, 2010Gerard Jennhwa Chang
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