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ICCV
2005
IEEE
14 years 7 months ago
Sparse Image Coding Using a 3D Non-Negative Tensor Factorization
We introduce an algorithm for a non-negative 3D tensor factorization for the purpose of establishing a local parts feature decomposition from an object class of images. In the pas...
Tamir Hazan, Simon Polak, Amnon Shashua
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
ECCV
2006
Springer
14 years 7 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
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
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...