منابع مشابه
Row by row methods for semidefinite programming
We present a row-by-row (RBR) method for solving semidefinite programming (SDP) problem based on solving a sequence of problems obtained by restricting the n-dimensional positive semidefinite constraint on the matrix X. By fixing any (n − 1)-dimensional principal submatrix of X and using its (generalized) Schur complement, the positive semidefinite constraint is reduced to a simple second-order...
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We initiate a systematic study of the Row Deletion(B) problem on matrices: For a fixed “forbidden submatrix” B, the question is, given an input matrix A (both A and B have entries chosen from a finite-size alphabet), to remove a minimum number of rows such that A has no submatrix which is equivalent to a row or column permutation of B. An application of this question can be found, e.g., in the ...
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We give a simple algorithm to efficiently sample the rows of a matrix while preserving the p-norms of its product with vectors. Given an n-by-dmatrixA, we find with high probability and in input sparsity time an A′ consisting of about d log d rescaled rows of A such that ‖Ax‖ 1 is close to ∥A′x ∥∥ 1 for all vectors x . We also show similar results for all lp that give nearly optimal sample boun...
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ژورنال
عنوان ژورنال: BJOG: An International Journal of Obstetrics & Gynaecology
سال: 2021
ISSN: 1470-0328,1471-0528
DOI: 10.1111/1471-0528.16623