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Fast and Accurate Algorithms for Re-Weighted L1-Norm Minimization
Fast and Accurate Algorithms Re-Weighted L1-Norm Minimization
2012/9/17
To recover a sparse signal from an underdetermined system, we often solve a constrained`1-norm minimization problem. In many cases, the signal sparsity and the recovery performance can be further impr...
Fast Algorithm to solve a family of SIS problem with l1 norm
SIS Lattice bounded multivariate polynomials linerization
2010/11/22
In this paper, we present a new algorithm, such that, for the small integer solution (SIS) problem, if the solution is bounded ( by an integer in l1 norm, which we call a bounded SIS (BSIS) problem,...
Finding approximately rank-one submatrices with the nuclear norm and l1 norm
rank-one submatrices the nuclear norm and l1 norm
2010/11/15
We propose a convex optimization formulation with the nuclear norm and $\ell_1$-norm to find a large approximately rank-one submatrix of a given nonnegative matrix. We develop optimality conditions f...
L1-Norm of Infinitely Divisible Random Vectors and Certain Stochastic Integrals
Infinitely divisible random variables stochastic integrals
2009/5/4
Equivalent upper and lower bounds for the L1 norm of Hilbert space valued infinitely divisible random variables are obtained and used to find bounds for different types of stochastic integrals.
Maximum Entropy-Based Fuzzy Clustering by Using L1-norm Space
Fuzzy c-means Maximum Entropy Structure Strength Number of Clusters L1-norm Space
2010/2/26
One of the most important methods in analysis of large data sets is clustering. These methods are not only major tools to uncover the underlying structures of a given data set, but also promising tool...