peer reviewedWe consider the problem of recovering the entries of diagonal matrices {U_a}_a for a = 1, . . . , t from multiple “incomplete” samples {W_a}_a of the form W_a = P U_a Q, where P and Q are unknown matrices of low rank. We devise practical algorithms for this problem depending on the ranks of P and Q. This problem finds its motivation in cryptanalysis: we show how to significantly improve previous algorithms for solving the approximate common divisor problem and breaking CLT13 cryptographic multilinear maps
We present a novel algebraic combinatorial view on low-rank matrix completion based on studying rela...
AbstractSuppose A is an n-by-n matrix over a field F. We prove that it is possible to complete the d...
Abstract. Matrices of low rank can be uniquely determined from fewer linear measurements, or entries...
peer reviewedWe consider the problem of recovering the entries of diagonal matrices {U_a}_a for a = ...
We consider the problem of recovering the entries of diagonal matrices {U_a}_a for a = 1, . . . , t ...
We consider the problem of recovering the entries of diagonal matrices $\{U_a\}_a$ for $a = 1,\ldots...
Let X* be a n_1 × n_2 matrix with entries in F_2 and rank r <; min(n_1, n_2) (often r ≪ min(n_1, n_2...
146 pagesThe problem of Matrix Completion has been widely studied over the past decade. However, the...
146 pagesThe problem of Matrix Completion has been widely studied over the past decade. However, the...
Matrix Completion is the problem of recovering an unknown real-valued low-rank matrix from a subsamp...
Often, data organized in matrix form contains missing entries. Further, such data has been observed...
In this paper, we review the problem of matrix completion and expose its intimate relations with alg...
We propose a general framework for reconstructing and denoising single entries of incomplete and noi...
Matrix completion is the process of estimating missing entries from a matrix using some prior knowle...
Abstract—We describe several algorithms for matrix comple-tion and matrix approximation when only so...
We present a novel algebraic combinatorial view on low-rank matrix completion based on studying rela...
AbstractSuppose A is an n-by-n matrix over a field F. We prove that it is possible to complete the d...
Abstract. Matrices of low rank can be uniquely determined from fewer linear measurements, or entries...
peer reviewedWe consider the problem of recovering the entries of diagonal matrices {U_a}_a for a = ...
We consider the problem of recovering the entries of diagonal matrices {U_a}_a for a = 1, . . . , t ...
We consider the problem of recovering the entries of diagonal matrices $\{U_a\}_a$ for $a = 1,\ldots...
Let X* be a n_1 × n_2 matrix with entries in F_2 and rank r <; min(n_1, n_2) (often r ≪ min(n_1, n_2...
146 pagesThe problem of Matrix Completion has been widely studied over the past decade. However, the...
146 pagesThe problem of Matrix Completion has been widely studied over the past decade. However, the...
Matrix Completion is the problem of recovering an unknown real-valued low-rank matrix from a subsamp...
Often, data organized in matrix form contains missing entries. Further, such data has been observed...
In this paper, we review the problem of matrix completion and expose its intimate relations with alg...
We propose a general framework for reconstructing and denoising single entries of incomplete and noi...
Matrix completion is the process of estimating missing entries from a matrix using some prior knowle...
Abstract—We describe several algorithms for matrix comple-tion and matrix approximation when only so...
We present a novel algebraic combinatorial view on low-rank matrix completion based on studying rela...
AbstractSuppose A is an n-by-n matrix over a field F. We prove that it is possible to complete the d...
Abstract. Matrices of low rank can be uniquely determined from fewer linear measurements, or entries...