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JMLR
2006
175views more  JMLR 2006»
13 years 4 months ago
Learning Sparse Representations by Non-Negative Matrix Factorization and Sequential Cone Programming
We exploit the biconvex nature of the Euclidean non-negative matrix factorization (NMF) optimization problem to derive optimization schemes based on sequential quadratic and secon...
Matthias Heiler, Christoph Schnörr
ECCV
2006
Springer
14 years 6 months ago
Controlling Sparseness in Non-negative Tensor Factorization
Non-negative tensor factorization (NTF) has recently been proposed as sparse and efficient image representation (Welling and Weber, Patt. Rec. Let., 2001). Until now, sparsity of t...
Matthias Heiler, Christoph Schnörr
JMLR
2010
195views more  JMLR 2010»
13 years 3 months ago
Online Learning for Matrix Factorization and Sparse Coding
Sparse coding—that is, modelling data vectors as sparse linear combinations of basis elements—is widely used in machine learning, neuroscience, signal processing, and statisti...
Julien Mairal, Francis Bach, Jean Ponce, Guillermo...
NIPS
2003
13 years 6 months ago
When Does Non-Negative Matrix Factorization Give a Correct Decomposition into Parts?
We interpret non-negative matrix factorization geometrically, as the problem of finding a simplicial cone which contains a cloud of data points and which is contained in the posi...
David L. Donoho, Victoria Stodden
ICML
2005
IEEE
14 years 5 months ago
Non-negative tensor factorization with applications to statistics and computer vision
We derive algorithms for finding a nonnegative n-dimensional tensor factorization (n-NTF) which includes the non-negative matrix factorization (NMF) as a particular case when n = ...
Amnon Shashua, Tamir Hazan