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Tensor based Learning Algorithms: Training Stage Convergence Issues and their Proofs.

TPAMI1TPAMI2

 

D. Tao et al., “General Tensor Discriminant Analysis and Gabor Features for Gait Recognition,” IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), vol. 29, no. 10, pp. 1,700-1,715, October 2007. [PDF] [Manuscript received 25-Oct-2005, revised 29-Jul-2006, accepted 17-Nov-2006.]

* This paper is the full version of “Human Carrying Status in Visual Surveillance” in CVPR 2006.

 

D. Tao et al., “Supervised Tensor Learning,” Knowledge and Information Systems (Springer: KAIS), vol. 13, no. 1, pp. 1-42, January 2007. [PDF] [Manuscript received 30-Nov-2005, revised 10-Jul-2006, accepted 18-Aug-2006, published online 12-Jan-2007.]

* This paper is the full version of “Supervised Tensor Learning” in ICDM 2005.

http://www.springerlink.com/content/cp0213w367531x72/

 

D. Tao et al., “Human Carrying Status in Visual Surveillance,” IEEE International Conference on Computer Vision and Pattern Recognition (CVPR), vol. 2, pp. 1,670-1,677, June, 2006. [PDF]

 

D. Tao et al., “Supervised Tensor Learning,” IEEE International Conference on Data Mining (ICDM), pp. 450-457, 2005. [PDF]

 

Machine Learning

D. Tao et al., “Asymmetric Bagging and Random Subspace for Support Vector Machines-based Relevance Feedback in Image Retrieval,” IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), vol. 28, no.7, pp. 1,088-1,099, July 2006. [PDF]

 

D. Tao et al., “General Tensor Discriminant Analysis and Gabor Features for Gait Recognition,” IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), vol. 29, no. 10, pp. 1,700-1,715, October 2007. [PDF]

 

D. Tao et al., “Geometric Mean for Subspace Selection in Multiclass Classification,” IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI). [PDF]

 

D. Tao et al., “General Averaged Divergences Analysis,” IEEE International Conference on Data Mining (ICDM), 2007. (Acceptance rate: 40/530)

+ Best theory/algorithms paper runner up award in IEEE ICDM 2007.

 

D. Tao et al., “Bayesian Tensor Analysis,” IEEE International Joint Conference on Neural Networks (IJCNN) as part of IEEE World Congress on Computational Intelligence (WCCI), 2008.

 

T. Zhang, D. Tao, et al., “A Unifying Framework for Spectral Analysis based Dimensionality Reduction,” IEEE International Joint Conference on Neural Networks (IJCNN) as part of IEEE World Congress on Computational Intelligence (WCCI), 2008.

 

D. Tao et al., “Negative Samples Analysis in Relevance Feedback,” IEEE Transactions on Knowledge and Data Engineering (TKDE), vol. 19, no. 4, pp. 568-580, April 2007. [PDF]

 

D. Tao et al., “Supervised Tensor Learning,” Knowledge and Information Systems (Springer: KAIS), vol. 13, no. 1, pp. 1-42, January 2007. [PDF]

 

Y. Pang, D. Tao et al., “Binary Two-Dimensional PCA,” IEEE Transactions on Systems, Man and Cybernetics, Part: B. (TSMC-B).

 

T. Zhang, K. Huang, X. Li, J. Yang, and D. Tao, “Discriminative Orthogonal Neighborhood Preserving Projections for Classification,” IEEE Transactions on Systems, Man and Cybernetics, Part: B. (TSMC-B).

Multilinear Analysis

AlternatingProjection

D. Tao et al., “General Tensor Discriminant Analysis and Gabor Features for Gait Recognition,” IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), vol. 29, no. 10, pp. 1,700-1,715, October 2007. [PDF]

 

D. Tao et al., “Supervised Tensor Learning,” Knowledge and Information Systems (Springer: KAIS), vol. 13, no. 1, pp. 1-42, January 2007. [PDF]

 

J. Sun, D. Tao, S. Papadimitriou, P. Yu, and C. Faloutsos, “Incremental Tensor Analysis: theory and applications,” ACM Transactions on Knowledge Discovery in Data (ACM TKDD), 2008.

 

J. Sun, D. Tao, and C. Faloutsosy, “Beyond Streams and Graphs: Dynamic Tensor Analysis,” ACM SIGKDD International Conference on Knowledge Discovery and Data Mining (KDD), pp. 374-383, August, 2006. [PDF]

 

D. Tao et al., “Human Carrying Status in Visual Surveillance,” IEEE International Conference on Computer Vision and Pattern Recognition (CVPR), vol. 2, pp. 1,670-1,677, June, 2006. [PDF]

 

D. Tao et al., “Supervised Tensor Learning,” IEEE International Conference on Data Mining (ICDM), pp. 450-457, 2005. [PDF]

 

D. Tao et al., “Bayesian Tensor Analysis,” IEEE International Joint Conference on Neural Networks (IJCNN) as part of IEEE World Congress on Computational Intelligence (WCCI), 2008.

 

D. Tao et al., “Elapsed Time in Human Gait Recognition: A New Approach,” IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP) 2006. [PDF]

 

D. Tao et al., “Tensor Rank One Discriminant Analysis,” Neurocomputing, 2008.

 

Probabilistic Graphical Models

PTA.png

D. Tao et al., “Bayesian Tensor Approach for 3D Face Modelling,” IEEE Transactions on Circuits and Systems for Video Technology (TCSVT), 2008.

 

D. Tao et al., “Probabilistic Tensor Analysis with Akaike and Bayesian Information Criteria,” the 14th International Conference on Neural Information Processing (ICONIP), 2007.

 

D. Tao et al., “Bayesian Tensor Analysis,” IEEE International Joint Conference on Neural Networks (IJCNN) as part of IEEE World Congress on Computational Intelligence (WCCI), 2008.

Subspace Selection

Class_Separation.jpg

D. Tao et al., “Geometric Mean for Subspace Selection in Multiclass Classification,” IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), 2008. [PDF]

 

D. Tao et al., “General Averaged Divergences Analysis,” IEEE International Conference on Data Mining (ICDM), 2007. (Acceptance rate: 40/530)

+ Best paper award runner up in IEEE ICDM 2007.

 

D. Tao et al., “General Tensor Discriminant Analysis and Gabor Features for Gait Recognition,” IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), vol. 29, no. 10, pp. 1,700-1,715, October 2007. [PDF]

 

Y. Pang, D. Tao et al., “Binary Two-Dimensional PCA,” IEEE Transactions on Systems, Man and Cybernetics, Part: B. (TSMC-B).

 

T. Zhang, K. Huang, X. Li, J. Yang, and D. Tao, “Discriminative Orthogonal Neighborhood Preserving Projections for Classification,” IEEE Transactions on Systems, Man and Cybernetics, Part: B. (TSMC-B).

 

T. Zhang, X. Li, J. Yang, and D. Tao, “Multimodal Biometrics using Geometry Preserving Projections,” Pattern Recognition (PR), vol. 41, no. 3, pp. 805-813, March 2008.

 

D. Tao et al., “Probabilistic Tensor Analysis with Akaike and Bayesian Information Criteria,” the 14th International Conference on Neural Information Processing (ICONIP), 2007.

 

D. Tao et al., “Bayesian Tensor Analysis,” IEEE International Joint Conference on Neural Networks (IJCNN) as part of IEEE World Congress on Computational Intelligence (WCCI), 2008.

 

T. Zhang, D. Tao et al., “A Unifying Framework for Spectral Analysis based Dimensionality Reduction,” IEEE International Joint Conference on Neural Networks (IJCNN) as part of IEEE World Congress on Computational Intelligence (WCCI), 2008.

 

D. Xu, D. Tao et al., “Face Recognition: A Generalized Marginal Fisher Analysis Approach,” International Journal of Image and Graphics (IJIG), vol. 7, no. 3, pp. ***-***, 2007.

 

T. Zhang, X. Li, D. Tao, D. Zhao, and J. Yang, “Local Coordinates Alignment and Its Linearalization,” the 14th International Conference on Neural Information Processing (ICONIP), 2007.

 

Manifold Learning

LCA.png

T. Zhang, D. Tao et al., “A Unifying Framework for Spectral Analysis based Dimensionality Reduction,” IEEE International Joint Conference on Neural Networks (IJCNN) as part of IEEE World Congress on Computational Intelligence (WCCI), 2008.

 

T. Zhang, X. Li, D. Tao, D. Zhao, and J. Yang, “Local Coordinates Alignment and Its Linearalization,” the 14th International Conference on Neural Information Processing (ICONIP), 2007.

 

T. Zhang, X. Li, D. Tao, and J. Yang, “Local Coordinates Alignment (LCA): A Novel Manifold Learning Approach,” International Journal of Pattern Recognition and Artificial Intelligence (IJPRAI), 2007.

 

T. Zhang, X. Li, J. Yang, and D. Tao, “Multimodal Biometrics using Geometry Preserving Projections,” Pattern Recognition (PR), , vol. 41, no. 3, pp. 805-813, March 2008.

 

T. Zhang, K. Huang, X. Li, J. Yang, and D. Tao, “Discriminative Orthogonal Neighborhood Preserving Projections for Classification,” IEEE Transactions on Systems, Man and Cybernetics, Part: B. (TSMC-B).

Multimedia: Relevance Feedback

D. Tao et al., “Asymmetric Bagging and Random Subspace for Support Vector Machines-based Relevance Feedback in Image Retrieval,” IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), vol. 28, no.7, pp. 1,088-1,099, July 2006. [PDF]

 

D. Tao et al., “Kernel Direct Biased Discriminant Analysis: A New Content-based Image Retrieval Relevance Feedback Algorithm,” IEEE Transactions on Multimedia (TMM), vol. 8, no. 4, pp. 716-727, August 2006. [PDF]

 

D. Tao et al., “Negative Samples Analysis in Relevance Feedback,” IEEE Transactions on Knowledge and Data Engineering (TKDE), vol. 19, no. 4, pp. 568-580, April 2007. [PDF]

 

D. Tao et al., “Which Components Are Important for Interactive Image Searching?,” IEEE Transactions on Circuits and Systems for Video Technology (TCSVT), vol. 17, 2007. [PDF]

 

J. Li, N. Allinsion, D. Tao, and X. Li, “Multitraining Support Vector Machine for Image Retrieval,” IEEE Transactions on Image Processing (TIP), vol. 15, no. 11, pp. 3,597-3,601, November 2006. [PDF]

 

D. Tao and X. Tang, “Random Sampling Based SVM for Relevance Feedback Image Retrieval,” IEEE International Conference on Computer Vision and Pattern Recognition (CVPR), pp. 647-652, 2004. [PDF]

 

D. Tao and X. Tang, “Orthogonal Complement Component Analysis for Positive Samples in SVM Based Relevance Feedback Image Retrieval,” IEEE International Conference on Computer Vision and Pattern Recognition (CVPR), pp. 586-591, 2004. [PDF]

 

D. Tao and X. Tang, “Nonparametric Discriminant Analysis in Relevance Feedback for Content-based Image Retrieval,” IEEE International Conference on Pattern Recognition (ICPR), pp. 1,013-1,016, 2004. [PDF]

Music Retrieval

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D. Tao, H. Liu, and X. Tang, “K-Box: A Query-by-Singing based Music Retrieval System,” ACM International Conference on Multimedia (MM), pp. 464-467, 2004. [PDF]

 

Image and Video Watermarking

watermark.gif

C. Deng, X. Gao, D. Tao, and X. Li, “Digital Watermarking in Image Affine Co-Variant Regions,” IEEE International Conference on Machine Learning and Cybernetics (ICMLC), vol. 4, pp. 2,125–2,130, August 2007.

Image Quality Assessment

IQA.gif

W. Lu, X. Gao, D. Tao, and X. Li, “A Wavelet-based Image Quality Assessment Method,” International Journal of Wavelets, Multiresolution and Information Processing (IJPRAI), 2008.

 

X. Gao, W. Lu, X. Li, and D. Tao, “Contourlet in Quality Evaluation of Digital Images,” Neurocomputing, 2008.

Biometric Research: Gait Recognition

D. Tao et al., “General Tensor Discriminant Analysis and Gabor Features for Gait Recognition,” IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), vol. 29, no. 10, pp. 1,700-1,715, October 2007. [PDF]

 

D. Xu, S. Yan, D. Tao, X. Li, X. Tang, and H.-J. Zhang, “Human Gait Recognition With Matrix Representation,” IEEE Transactions on Circuits and Systems for Video Technology (TCSVT), vol. 16, no. 7, pp. 896-903, July 2006. [PDF]

 

X. Li, S. J. Maybank, S. Yan, D. Tao, and D. Xu, “Biometrics Gait Components Review and Application for Gender Recognition,” IEEE Transactions on Systems, Man and Cybernetics Part C (TSMC-C), 2008. [PDF]

 

D. Tao et al., “Human Carrying Status in Visual Surveillance,” IEEE International Conference on Computer Vision and Pattern Recognition (CVPR), vol. 2, pp. 1,670-1,677, June, 2006. [PDF]

 

D. Tao et al., “Elapsed Time in Human Gait Recognition: A New Approach,” IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP) 2006. [PDF]

 

X. Li, S. J. Maybank, and D. Tao, “Recognition Based on Local Body Motions,” IEEE International Conference on Systems, Man and Cybernetics (SMC), Montreal, Canada, 2007.

 

Biometric Research: Face recognition

Face.gif

D. Xu, D. Tao et al., “Face Recognition: A Generalized Marginal Fisher Analysis Approach,” International Journal of Image and Graphics (IJIG), vol. 7, no. 3, pp. 583-591, 2007.

 

T. Zhang, K. Huang, X. Li, J. Yang, and D. Tao, “Discriminative Orthogonal Neighborhood Preserving Projections for Classification,” IEEE Transactions on Systems, Man and Cybernetics, Part: B. (TSMC-B).

 

T. Zhang, X. Li, D. Tao, D. Zhao, and J. Yang, “Local Coordinates Alignment and Its Linearalization,” the 14th International Conference on Neural Information Processing (ICONIP), 2007.

 

T. Zhang, D. Tao et al., “A Unifying Framework for Spectral Analysis based Dimensionality Reduction,” IEEE International Joint Conference on Neural Networks (IJCNN) as part of IEEE World Congress on Computational Intelligence (WCCI), 2008.

 

X. Gao, J. Zhong, D. Tao, and X. Li, “Local Face Sketch Synthesis Learning,” Neurocomputing, 2008.

Biometric research: Multimodal Biometrics

MMB.gif

T. Zhang, X. Li, J. Yang, and D. Tao, “Multimodal Biometrics using Geometry Preserving Projections,” Pattern Recognition (PR), , vol. 41, no. 3, pp. 805-813, March 2008.

3D Facial Expression Retargeting

BTA.bmp

D. Tao et al., “Bayesian Tensor Approach for 3D Face Modelling,” IEEE Transactions on Circuits and Systems for Video Technology (TCSVT), 2008.

 

 

　

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