Interference Alignment as a Rank Constrained Rank Minimization
نویسندگان
چکیده
منابع مشابه
Rank Minimization via Online Learning
Minimum rank problems arise frequently in machine learning applications and are notoriously difficult to solve due to the non-convex nature of the rank objective. In this paper, we present the first online learning approach for the problem of rank minimization of matrices over polyhedral sets. In particular, we present two online learning algorithms for rank minimization our first algorithm is ...
متن کاملEfficient Structured Matrix Rank Minimization
We study the problem of finding structured low-rank matrices using nuclear norm regularization where the structure is encoded by a linear map. In contrast to most known approaches for linearly structured rank minimization, we do not (a) use the full SVD; nor (b) resort to augmented Lagrangian techniques; nor (c) solve linear systems per iteration. Instead, we formulate the problem differently s...
متن کاملIterative Reweighted Algorithms for Matrix Rank Minimization Iterative Reweighted Algorithms for Matrix Rank Minimization
The problem of minimizing the rank of a matrix subject to affine constraints has many applications in machine learning, and is known to be NP-hard. One of the tractable relaxations proposed for this problem is nuclear norm (or trace norm) minimization of the matrix, which is guaranteed to find the minimum rank matrix under suitable assumptions. In this paper, we propose a family of Iterative Re...
متن کاملGeneralized Rank-Constrained Matrix Approximations
In this paper we give an explicit solution to the rank constrained matrix approximation in Frobenius norm, which is a generalization of the classical approximation of an m× n matrix A by a matrix of rank k at most. 2000 Mathematics Subject Classification: 15A18.
متن کاملPenalty Decomposition Methods for Rank Minimization
In this paper we consider general rank minimization problems with rank appearing in either objective function or constraint. We first establish that a class of special rank minimization problems has closed-form solutions. Using this result, we then propose penalty decomposition methods for general rank minimization problems in which each subproblem is solved by a block coordinate descend method...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Transactions on Signal Processing
سال: 2012
ISSN: 1053-587X,1941-0476
DOI: 10.1109/tsp.2012.2197393