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ICA
2007
Springer
13 years 11 months ago
Hierarchical ALS Algorithms for Nonnegative Matrix and 3D Tensor Factorization
In the paper we present new Alternating Least Squares (ALS) algorithms for Nonnegative Matrix Factorization (NMF) and their extensions to 3D Nonnegative Tensor Factorization (NTF) ...
Andrzej Cichocki, Rafal Zdunek, Shun-ichi Amari
ICASSP
2008
IEEE
13 years 11 months ago
Insights into the stable recovery of sparse solutions in overcomplete representations using network information theory
In this paper, we examine the problem of overcomplete representations and provide new insights into the problem of stable recovery of sparse solutions in noisy environments. We es...
Yuzhe Jin, Bhaskar D. Rao
ICANNGA
2007
Springer
191views Algorithms» more  ICANNGA 2007»
13 years 11 months ago
Novel Multi-layer Non-negative Tensor Factorization with Sparsity Constraints
In this paper we present a new method of 3D non-negative tensor factorization (NTF) that is robust in the presence of noise and has many potential applications, including multi-way...
Andrzej Cichocki, Rafal Zdunek, Seungjin Choi, Rob...
FOCM
2010
108views more  FOCM 2010»
13 years 3 months ago
Iterative Thresholding Meets Free-Discontinuity Problems
Free-discontinuity problems describe situations where the solution of interest is defined by a function and a lower dimensional set consisting of the discontinuities of the funct...
Massimo Fornasier, Rachel Ward
BMCBI
2010
144views more  BMCBI 2010»
13 years 5 months ago
Super-sparse principal component analyses for high-throughput genomic data
Background: Principal component analysis (PCA) has gained popularity as a method for the analysis of highdimensional genomic data. However, it is often difficult to interpret the ...
Donghwan Lee, Woojoo Lee, Youngjo Lee, Yudi Pawita...