18.9.3.1 Matrix Factorization, General Issues

Welling, M.[Max], Weber, M.[Markus],
Positive tensor factorization,
PRL(22), No. 12, October 2001, pp. 1255-1261.
Elsevier DOI Link 0108
BibRef

Sun, Z.H.[Zhao-Hui], Ramesh, V.[Visvanathan], Tekalp, A.M.[A. Murat],
Error Characterization of the Factorization Method,
CVIU(82), No. 2, May 2001, pp. 110-137.
WWW Version. 0108
BibRef

Anandan, P., Irani, M.[Michal],
Factorization with Uncertainty,
IJCV(49), No. 2-3, September-October 2002, pp. 101-116.
WWW Version. 0209
BibRef
Earlier: A2, A1: ECCV00(I: 539-553).
WWW Version. 0003
BibRef

Zelnik-Manor, L.[Lihi], Irani, M.[Michal],
On Single-Sequence and Multi-Sequence Factorizations,
IJCV(67), No. 3, May 2006, pp. 313-326.
Springer DOI Link 0606
BibRef
Earlier:
Temporal Factorization vs. Spatial Factorization,
ECCV04(Vol II: 434-445).
WWW Version. 0405
Rather than grouping the same motions, group the same shapes. Thus get the same expressions even if the head moves. See also Multi-body Factorization with Uncertainty: Revisiting Motion Consistency. BibRef

Fanti, C.[Claudio], Zelnik-Manor, L.[Lihi], Perona, P.[Pietro],
Hybrid Models for Human Motion Recognition,
CVPR05(I: 1166-1173).
IEEE DOI Link 0507
BibRef

Zelnik-Manor, L.[Lihi], Machline, M.[Moshe], Irani, M.[Michal],
Multi-body Factorization with Uncertainty: Revisiting Motion Consistency,
IJCV(68), No. 1, June 2006, pp. 27-41.
Springer DOI Link 0605
Into regions of consistent motion. Temporal consistency of actions across multiple frames. BibRef

Aanæs, H.[Henrik], Fisker, R.[Rune], Åström, K.[Kalle], Carstensen, J.M.[Jens Michael],
Robust Factorization,
PAMI(24), No. 9, September 2002, pp. 1215-1225.
IEEE Abstract. 0209
How to deal with it when there is not a set of tracked features. Modification of the Christy-Horaud ( See also Euclidean Shape and Motion from Multiple Perspective Views by Affine Iterations. ) scheme. BibRef

Fiore, P.D.,
A constant modulus matrix factorization for direction finding and array calibration,
SPLetters(9), No. 9, September 2002, pp. 272-274.
IEEE Top Reference. 0211
BibRef

Wild, S.[Stefan], Curry, J.[James], Dougherty, A.[Anne],
Improving non-negative matrix factorizations through structured initialization,
PR(37), No. 11, November 2004, pp. 2217-2232.
WWW Version. 0409
BibRef

Klingenberg, B.[Bradley], Curry, J.[James], Dougherty, A.[Anne],
Non-negative matrix factorization: Ill-posedness and a geometric algorithm,
PR(42), No. 5, May 2009, pp. 918-928.
Elsevier DOI Link
WWW Version. 0902
Non-negative matrix factorization; Geometry; Ill-posedness; Generative model; Component analysis BibRef

Corinthios, M.J.,
Generalised transform factorisation for massive parallelism,
VISP(151), No. 3, June 2004, pp. 153-163.
IEEE Abstract. 0409
BibRef

Pascual-Montano, A.[Alberto], Carazo, J.M., Kochi, K.[Kieko], Lehmann, D.[Dietrich], Pascual-Marqui, R.D.[Roberto D.],
Nonsmooth Nonnegative Matrix Factorization (nsNMF),
PAMI(28), No. 3, March 2006, pp. 403-415.
IEEE DOI Link 0602
optimization of an unambiguous cost function designed to explicitly represent sparseness. BibRef

Okatani, T.[Takayuki], Deguchi, K.[Koichiro],
On the Wiberg Algorithm for Matrix Factorization in the Presence of Missing Components,
IJCV(72), No. 3, May 2007, pp. 329-337.
Springer DOI Link 0702
BibRef

Okatani, T.[Takayuki], Yoshida, T.[Takahiro], Deguchi, K.[Koichiro],
Efficient algorithm for low-rank matrix factorization with missing components and performance comparison of latest algorithms,
ICCV11(842-849).
IEEE DOI Link 1201
BibRef

Kanatani, K.[Kenichi], Sugaya, Y.[Yasuyuki], Ackermann, H.[Hanno],
Uncalibrated Factorization Using a Variable Symmetric Affine Camera,
IEICE(E90-D), No. 5, May 2007, pp. 851-858.
WWW Version. 0705
BibRef
Earlier: ECCV06(IV: 147-158).
Springer DOI Link 0608
BibRef

Ackermann, H.[Hanno], Kanatani, K.[Kenichi],
Iterative Low Complexity Factorization for Projective Reconstruction,
RobVis08(153-164).
Springer DOI Link 0802
BibRef

Boutsidis, C., Gallopoulos, E.,
SVD based initialization: A head start for nonnegative matrix factorization,
PR(41), No. 4, April 2008, pp. 1350-1362.
WWW Version. 0801
NMF; Sparse NMF; SVD; Nonnegative matrix factorization; Singular value decomposition; Perron-Frobenius; Low rank; Structured initialization; Sparse factorization BibRef

Cichocki, A.[Andrzej], Lee, H.Y.[Hyek-Young], Kim, Y.D.[Yong-Deok], Choi, S.J.[Seung-Jin],
Non-negative matrix factorization with alpha-divergence,
PRL(29), No. 9, 1 July 2008, pp. 1433-1440.
WWW Version. 0711
alpha-Divergence; Multiplicative updates; Non-negative matrix factorization; Projected gradient BibRef

Yuan, Y., Li, X.L., Pang, Y., Lu, X., Tao, D.,
Binary Sparse Nonnegative Matrix Factorization,
CirSysVideo(19), No. 5, May 2009, pp. 772-777.
IEEE DOI Link 0906
BibRef

Lee, H.K.[Hye-Kyoung], Yoo, J.H.[Ji-Ho], Choi, S.J.[Seung-Jin],
Semi-Supervised Nonnegative Matrix Factorization,
SPLetters(17), No. 1, January 2010, pp. 4-7.
IEEE DOI Link 0911
BibRef

Khelifi, F., Jiang, J.,
Analysis of the Security of Perceptual Image Hashing Based on Non-Negative Matrix Factorization,
SPLetters(17), No. 1, January 2010, pp. 43-46.
IEEE DOI Link 0911
BibRef

Khelifi, F., Jiang, J.,
Perceptual Image Hashing Based on Virtual Watermark Detection,
IP(19), No. 4, April 2010, pp. 981-994.
IEEE DOI Link 1003
BibRef

Ding, C.H.Q.[Chris H.Q.], Li, T.[Tao], Jordan, M.I.[Michael I.],
Convex and Semi-Nonnegative Matrix Factorizations,
PAMI(32), No. 1, January 2010, pp. 45-55.
IEEE DOI Link 0912
Explore the different solutions. BibRef

Wahlberg, B., Stoica, P.,
New Square-Root Factorization of Inverse Toeplitz Matrices,
SPLetters(17), No. 2, February 2010, pp. 137-140.
IEEE DOI Link 0912
From the theory of rational orthonormal functions to derive square-root factorizations of inverse of nXn positive definite Toeplitz matrix. BibRef

Gillis, N.[Nicolas], Glineur, F.[Francois],
Using underapproximations for sparse nonnegative matrix factorization,
PR(43), No. 4, April 2010, pp. 1676-1687.
Elsevier DOI Link
WWW Version. 1002
Nonnegative matrix factorization; Underapproximation; Maximum edge biclique problem; Sparsity; Image processing BibRef

Li, Z.[Zhao], Wu, X.D.[Xin-Dong], Peng, H.[Hong],
Nonnegative Matrix Factorization on Orthogonal Subspace,
PRL(31), No. 9, 1 July 2010, pp. 905-911.
Elsevier DOI Link
WWW Version. 1004
Nonnegative Matrix Factorization; Orthogonality; Clustering BibRef

Zhao, K.[Keke], Zhang, Z.Y.[Zhen-Yue],
Successively alternate least square for low-rank matrix factorization with bounded missing data,
CVIU(114), No. 10, October 2010, pp. 1084-1096.
Elsevier DOI Link
WWW Version. 1003
Matrix complement; Matrix factorization; Missing data; Low-rank matrix; Computer vision; 3D reconstruction BibRef

Yang, L.[Lei], Hao, P.W.[Peng-Wei], Wu, D.P.[Da-Peng],
Stabilization and optimization of PLUS factorization and its application in image coding,
JVCIR(22), No. 1, January 2011, pp. 9-22.
Elsevier DOI Link
WWW Version. 1101
PLUS factorization; Stable algorithm; Optimization; Transform coding; Image compression; Integer reversible transform; Lapped Transform; Discrete cosine transform; Lifting factorization BibRef

Decherchi, S.[Sergio], Gastaldo, P.[Paolo], Zunino, R.[Rodolfo],
Efficient approximate Regularized Least Squares by Toeplitz matrix,
PRL(32), No. 3, 1 February 2011, pp. 468-475.
Elsevier DOI Link
WWW Version. 1101
Regularized Least Squares; Toeplitz matrix; Levinson-Trench-Zohar algorithm; Digital signal processor; Large-scale learning; Resources limited device BibRef

Sandler, R.[Roman], Lindenbaum, M.[Michael],
Nonnegative Matrix Factorization with Earth Mover's Distance Metric for Image Analysis,
PAMI(33), No. 8, August 2011, pp. 1590-1602.
IEEE DOI Link 1107
BibRef
Earlier:
Nonnegative Matrix Factorization with Earth Mover's Distance metric,
CVPR09(1873-1880).
IEEE DOI Link 0906
BibRef

Guan, N.[Naiyang], Tao, D.C.[Da-Cheng], Luo, Z.G.[Zhi-Gang], Yuan, B.[Bo],
Manifold Regularized Discriminative Nonnegative Matrix Factorization With Fast Gradient Descent,
IP(20), No. 7, July 2011, pp. 2030-2048.
IEEE DOI Link 1107
BibRef

Ambai, M.[Mitsuru], Utama, N.P.[Nugraha P.], Yoshida, Y.[Yuichi],
Dimensionality Reduction for Histogram Features Based on Supervised Non-negative Matrix Factorization,
IEICE(E94-D), No. 10, October 2011, pp. 1870-1879.
WWW Version. 1110
BibRef

Pan, J.Y.[Ji-Yuan], Zhang, J.S.[Jiang-She],
Large margin based nonnegative matrix factorization and partial least squares regression for face recognition,
PRL(32), No. 14, 15 October 2011, pp. 1822-1835.
Elsevier DOI Link
WWW Version. 1110
Face recognition; Nonnegative matrix factorization; Out-of-sample; Feature extraction; Large margin learning BibRef

Yokoya, N., Yairi, T., Iwasaki, A.,
Coupled Nonnegative Matrix Factorization Unmixing for Hyperspectral and Multispectral Data Fusion,
GeoRS(50), No. 2, February 2012, pp. 528-537.
IEEE DOI Link 1201
BibRef

Kumar, V.B.G.[Vijay B.G.], Patras, I.[Ioannis], Kotsia, I.[Irene],
Max-Margin Semi-NMF,
BMVC11(xx-yy).
HTML Version. 1110
Non-Negative Matrix Factorization BibRef

Szabo, Z.[Zoltan], Poczos, B.[Barnabas], Lorincz, A.[Andras],
Online group-structured dictionary learning,
CVPR11(2865-2872).
IEEE DOI Link 1106
Implement for the online, structured, sparse non-negative matrix factorization. BibRef

Gupta, M.D.[Mithun Das], Xiao, J.[Jing],
Non-negative matrix factorization as a feature selection tool for maximum margin classifiers,
CVPR11(2841-2848).
IEEE DOI Link 1106
BibRef

Kirbiz, S.[Serap], Cemgil, A.T.[A. Taylan], Gunsel, B.[Bilge],
Bayesian Inference for Nonnegative Matrix Factor Deconvolution Models,
ICPR10(2812-2815).
IEEE DOI Link 1008
BibRef

Jammalamadaka, A.[Aruna], Joshi, S.[Swapna], Karthikeyan, S., Manjunath, B.S.,
Discriminative Basis Selection Using Non-negative Matrix Factorization,
ICPR10(1533-1536).
IEEE DOI Link 1008
BibRef

Vadivel, K.S.[Karthikeyan Shanmuga], Sargin, M.E.[Mehmet Emre], Joshi, S.[Swapna], Manjunath, B.S., Grafton, S.[Scott],
Generalized subspace based high dimensional density estimation,
ICIP11(1849-1852).
IEEE DOI Link 1201
BibRef

Joshi, S.[Swapna], Karthikeyan, S., Manjunath, B.S., Grafton, S.[Scott], Kiehl, K.A.[Kent A.],
Anatomical parts-based regression using non-negative matrix factorization,
CVPR10(2863-2870).
IEEE DOI Link 1006
BibRef

Chen, Q.A.[Qi-Ang], Yan, S.C.[Shui-Cheng], Ng, T.T.[Tian-Tsong],
Factorization towards a classifier,
CVPR10(3562-3569).
IEEE DOI Link 1006
BibRef

Liao, S.C.[Sheng-Cai], Lei, Z.[Zhen], Li, S.Z.[Stan Z.],
Nonnegative Matrix Factorization with Gibbs Random Field modeling,
Subspace09(79-86).
IEEE DOI Link 0910
BibRef

Gu, Q.Q.[Quan-Quan], Zhou, J.[Jie],
Two Dimensional Nonnegative Matrix Factorization,
ICIP09(2069-2072).
IEEE DOI Link 0911
BibRef
And:
Neighborhood Preserving Nonnegative Matrix Factorization,
BMVC09(xx-yy).
PDF Version. 0909
BibRef

Gu, Q.Q.[Quan-Quan], Zhou, J.[Jie],
Multiple Kernel Maximum Margin Criterion,
ICIP09(2049-2052).
IEEE DOI Link 0911
BibRef

Tang, J.[Jiayu], Lewis, P.H.[Paul H.],
Non-negative matrix factorisation for object class discovery and image auto-annotation,
CIVR08(105-112). 0807
BibRef
Earlier:
Using multiple segmentations for image auto-annotation,
CIVR07(581-586).
WWW Version. 0707
BibRef

Li, L.[Le], Zhang, Y.J.[Yu-Jin],
FastNMF: A fast monotonic fixed-point non-negative Matrix Factorization algorithm with high ease of use,
ICPR08(1-4).
IEEE DOI Link 0812
BibRef

Rodrigues, J.J.[Jose J.], Aguiar, P.M.Q.[Pedro M.Q.], Xavier, J.M.F.[Joao M.F.],
ANSIG: An analytic signature for permutation-invariant two-dimensional shape representation,
CVPR08(1-8).
IEEE DOI Link 0806
BibRef

Aguiar, P.M.Q.[Pedro M.Q.], Xavier, J.M.F.[Joao M.F.], Stosic, M.[Marko],
Spectrally optimal factorization of incomplete matrices,
CVPR08(1-8).
IEEE DOI Link 0806
BibRef
And:
Globally optimal solution to exploit rigidity when recovering structure from motion under occlusion,
ICIP08(197-200).
IEEE DOI Link 0810
BibRef

Aguiar, P.M.Q.[Pedro M.Q.], Miranda, A.R.[António R.], de Castro, N.[Nuno],
Occlusion-Based Accurate Silhouettes from Video Streams,
ICIAR06(I: 816-826).
Springer DOI Link 0610
BibRef

Aguiar, P.M.Q.[Pedro M.Q.], Moura, J.M.F.[José M.F.],
Joint Segmentation of Moving Object and Estimation of Background in Low-Light Video using Relaxation,
ICIP07(V: 53-56).
IEEE DOI Link 0709
BibRef
Earlier:
Maximum Likelihood Estimation of the Template of a Rigid Moving Object,
EMMCVPR01(34-49).
Springer DOI Link 0205
BibRef
Earlier:
Detecting and Solving Template Ambiguities in Motion Segmentation,
ICIP97(II: 494-497).
IEEE DOI Link BibRef
Earlier:
Incremental Motion Segmentation in Low Texture,
ICIP96(I: 233-236).
IEEE DOI Link BibRef

Potluru, V.K.[Vamsi K.], Plis, S.M.[Sergey M.], Calhoun, V.D.[Vince D.],
Sparse shift-invariant NMF,
Southwest08(69-72).
IEEE DOI Link 0803
Non-negative Matrix Factorization. BibRef

Zheng, W.S.[Wei-Shi], Li, S.Z.[Stan Z.], Lai, J.H., Liao, S.C.[Sheng-Cai],
On Constrained Sparse Matrix Factorization,
ICCV07(1-8).
IEEE DOI Link 0710
BibRef

Loke, Y.R., Ranganath, S.,
Batch Algorithm with Additional Shape Constraints for Non-Rigid Factorization,
BMVC07(xx-yy).
PDF Version. 0709
BibRef

Kim, Y.D.[Yong-Deok], Choi, S.J.[Seung-Jin],
Nonnegative Tucker Decomposition,
ComponentAnalysis07(1-8).
IEEE DOI Link 0706
Tensor factorization. Multilinear extension of matrix factorization. BibRef

Samko, O.[Oksana], Rosin, P.L.[Paul L.], Marshall, A.D.[A. Dave],
Robust Automatic Data Decomposition Using a Modified Sparse NMF,
MIRAGE07(225-234).
Springer DOI Link 0703
Representation from real world data with unknown structure. Non-negative matrix factorization (sparse NMF). BibRef

Yuan, Z.J.[Zhi-Jian], Oja, E.[Erkki],
Projective Nonnegative Matrix Factorization for Image Compression and Feature Extraction,
SCIA05(333-342).
Springer DOI Link 0506
BibRef

Buchanan, A.M., Fitzgibbon, A.W.,
Damped Newton Algorithms for Matrix Factorization with Missing Data,
CVPR05(II: 316-322).
IEEE DOI Link 0507
BibRef

Gruber, A., Weiss, Y.,
Multibody factorization with uncertainty and missing data using the EM algorithm,
CVPR04(I: 707-714).
IEEE Abstract. 0408
BibRef

Aanæs, H.[Henrik], Fisker, R.[Rune], Åström, K.[Kalle], Carstensen, J.M.[Jens Michael],
Factorization with Erroneous Data,
PCV02(A: 15). 0305
BibRef

Rother, C., Carlsson, S., Tell, D.,
Projective factorization of planes and cameras in multiple views,
ICPR02(II: 737-740).
IEEE DOI Link 0211
BibRef

Triggs, B.[Bill],
Plane + Parallax, Tensors, and Factorization,
ECCV00(I: 522-538).
WWW Version. 0003
BibRef

Aguiar, P.,
Weighted Factorization,
ICIP00(Vol I: 549-552).
IEEE Abstract. 0008
BibRef

Chapter on Motion Analysis --Low-Level, Image Level Analysis, Mosaic Generation, Super Resolution, Shape from Motion continues in
Integration over a Sequence .