Recent Patents on Engineering

Author(s): Liyan Zhao, Huan Wang* and Jing Wang

DOI: 10.2174/1872212112666181116125033

Supervised Dimension Reduction by Local Neighborhood Optimization for Image Processing

Page: [334 - 347] Pages: 14

  • * (Excluding Mailing and Handling)

Abstract

Background: Subspace learning-based dimensionality reduction algorithms are important and have been popularly applied in data mining, pattern recognition and computer vision applications. They show the successful dimension reduction when data points are evenly distributed in the high-dimensional space. However, some may distort the local geometric structure of the original dataset and result in a poor low-dimensional embedding while data samples show an uneven distribution in the original space.

Methods: In this paper, we propose a supervised dimension reduction method by local neighborhood optimization to disposal the uneven distribution of high-dimensional data. It extends the widely used Locally Linear Embedding (LLE) framework, namely LNOLLE. The method considers the class label of the data to optimize local neighborhood, which achieves better separability inter-class distance of the data in the low-dimensional space with the aim to abstain holding together the data samples of different classes while mapping an uneven distributed data. This effectively preserves the geometric topological structure of the original data points.

Results: We use the presented LNOLLE method to the image classification and face recognition, which achieves a good classification result and higher face recognition accuracy compared with existing manifold learning methods including popular supervised algorithms. In addition, we consider the reconstruction of the method to solve noise suppression for seismic image. To the best of our knowledge, this is the first manifold learning approach to solve high-dimensional nonlinear seismic data for noise suppression.

Conclusion: The experimental results on forward model and real seismic data show that LNOLLE improves signal to noise ratio of seismic image compared with the widely used Singular Value Decomposition (SVD) filtering method.

Keywords: Dimensionality reduction, Locally Linear Embedding (LLE), local neighborhood, image classification, face recognition, seismic image, Signal to Noise Ratio (SNR).

Graphical Abstract

[1]
S. Guanglu, S. Zhichao, L. Jinlai, Z. Suxia, and H. Yongjun, "Feature selection method based on maximum information coefficient and approximate Markov blanket", Acta Automatica Sinica, vol. 43, pp. 795-805, 2017.
[2]
S. Guanglu, X. Yibo, D. Yingfei, W. Dongsheng, and L. Chenglong, "A novel hybrid method for effectively classifying encrypted traffic In ", Proceedings of IEEE Globecom Miami, USA, 2010, pp. 597-602.
[3]
S. Guanglu, L. Shaobo, C. Teng, L. Xuhang, and Z. Suxia, "Active learning method for Chinese spam filtering", Int. J. Perform. Eng., vol. 13, pp. 511-518, 2017.
[4]
J.Y. Li, J. Xue, and Y.F. Gong, Shared hidden layer combination for speech recognition systems. US Patent 20150310858, 2015.
[5]
S.L.P. Monteiro, Method and means to improve the effects of electrical cell and neuron stimulation with random stimulation in both location and time. US Patent 20170007828A1, 2017.
[6]
A. Shyr, R. Urtasun, and M.I. Jordan, "Sufficient dimensionality reduction for visual sequence classification In ", Proceedings of Twenty-third IEEE Conference on Computer Vision and Pattern Recognition, 2010pp. 3610-3617
[7]
D.A.A.G. Singh, S.A.A. Balamurugan, and E.J. Leavline, "An unsupervised feature selection algorithm with feature ranking for maximizing performance of the classifiers", Inter. J. Automation Computing, vol. 12, pp. 511-517, 2015.
[8]
Y. Koren, and L. Carmel, "Robust linear dimensionality reduction", IEEE Trans. Vis. Comput. Graph., vol. 10, no. 4, pp. 459-470, 2004.
[9]
F.K. Zaman, A.A. Shafie, and Y.M. Mustafah, "Robust face recognition against expressions and partial occlusions", Inter. J. Automation Comput., vol. 13, pp. 319-337, 2016.
[10]
A.M. Posadas, F. Vidal, F. de Miguel, G. Alguacil, J. Pena, J.M. Ibanez, and J. Morales, "Spatial temporal analysis of a seismic series using the principal components method", J. Geophys. Res., vol. 98, pp. 1923-1932, 1993.
[11]
I.T. Jolliffe, Principal component analysis.. Technometrics. Vol.45, pp. 276, 2003.
[12]
P. Belhumeour, J. Hespanha, and D. Kriegman, "Eigenfaces versus fisherfaces: recognition using class specific linear projection", IEEE Trans. Pattern Anal. Mach. Intell., vol. 19, pp. 711-720, 1997.
[13]
H. Na, M.S. Park, and J.Y. Choi, "Linear boundary discriminant analysis", Pattern Recognit., vol. 43, pp. 929-936, 2010.
[14]
T. Cox, and M. Cox, Multi-dimensional scaling., Chapman & Hall: London, UK, 1994.
[15]
B. Scholkopf, A.J. Smola, and K.R. Muller, "Nonlinear component analysis as a kernel eigenvalue problem", Neural Comput., vol. 10, pp. 1299-1319, 1998.
[16]
S.T. Roweis, and L.K. Saul, "Nonlinear dimensionality reduction by locally linear embedding", Science, vol. 290, pp. 2323-2326, 2000.
[17]
B. Tenenbaum, V. de Silva, and J.C. Langford, "A global geometric framework for nonlinear dimensionality reduction", Science, vol. 290, pp. 2319-2323, 2000.
[18]
Belkin and P. Niyogi, "Laplacian eigenmaps for dimensionality reduction and representation", Neural Comput., vol. 15, pp. 1373-1396, 2003.
[19]
X. He, and P. Niyogi, "Locality preserving projections", Adv. Neural Inf. Process. Syst., vol. 16, pp. 153-160, 2004.
[20]
Z. Zhang, and H. Zha, "Principal manifolds and nonlinear dimension reduction via local tangent space alignment", SIAM J. Sci. Comput., vol. 26, pp. 313-338, 2005.
[21]
Y. Bengio, J. Paiement, P. Vincent, O. Dellallaeu, L. Roux, and M. Quimet, "Out-of sample extensions for LLE, Isomap, MDS, eigenmaps, and spectral clustering", Adv. Neural Inf. Process. Syst., vol. 16, pp. 177-184, 2004.
[22]
S. He, D. Cai, S. Yan, and H. Zhang, "Neighborhood Preserving Embedding In ", Proceedings of IEEE International Conference of Computer Vision, 2005pp. 1208-1213
[23]
E. Kokiopoulou, and Y. Saad, Orthogonal neighborhood preserving projections: a projection-based dimensionality reduction technique. In IEEE Trans. Pattern Anal. Mach. Intell.. 2007, pp. 2143-2156.
[24]
J.A. Lee, and M. Verleysen, “Nonlinear dimensionality reduction,” Information Science and Statistics., Springer, 2007.
[25]
B. Shaw, and T. Jebara, "Structure preserving embedding In ", Proceedings of the 26th International Conference on Machine Learning, 2009pp. 937-944
[26]
T.H. Zhang, D.C. Tao, X.L. Li, and J. Yang, "Patch alignment for dimensionality reduction. In ", IEEE Trans. Knowl. Data Eng.. 2009, pp. 1299-1313.
[27]
B. Li, A. Artemiou, and L. Li, "Principal support vector machine for linear and nonlinear sufficient dimension reduction", Ann. Stat., vol. 39, pp. 3182-3210, 2011.
[28]
D.L. Niu, J.G. Dy, and M.I. Jordan, "Dimensionality reduction for spectral clustering In ", Proceedings of the Fourteenth Conference on Artificial Intelligence and Statistics (AISTATS) Ft. Lauderdale 2011, pp. 552-560.
[29]
H. Wang, F. Sha, and M.I. Jordan, "Unsupervised kernel dimension reduction", Adv. Neural Inf. Process. Syst. (NIPS), vol. 23, pp. 2379-2387, 2011.
[30]
D.S. Genaro, C.D. German, and C.P. Jose, "Locally linear embedding based on correntropy measure for visualization and classification", Neurocomputing, vol. 80, pp. 19-30, 2012.
[31]
A.B. Musa, "PCA, KPCA and ICA for dimensionality reduction in logistic regression", Int. J. Mach. Learn. Cybern., vol. 5, pp. 861-873, 2013.
[32]
R. Murad, Z. Anazida, and A.M. Mohd, "An adaptive and efficient dimension reduction model for multivariate wireless sensor networks applications", Appl. Soft Comput., vol. 13, pp. 1978-1996, 2013.
[33]
Y. Song, W. Cai, and H. Huang, "Large margin local estimate with applications to medical image classification", IEEE Trans. Med. Imaging, vol. 34, pp. 1362-1377, 2015.
[34]
F. Schroff, D. Kalenichenko, and J. Philbin, "Facenet: a unified embedding for face recognition and clustering In ", Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2015pp. 815-823
[35]
D. Valsesia, G. Coluccia, and T. Bianchi, “Compressed fingerprint matching and camera identification via random projections”. InIEEE Transactions on Information Forensics and Security. 2015, pp. 1472-1485.
[36]
A.K. Nassirtoussi, "S. “Aghabozorgi, and T.Y. Wah.”Text mining of news-headlines for FOREX market prediction: a multi-layer dimension reduction algorithm with semantics and sentiment", Expert Syst. Appl., vol. 42, pp. 306-324, 2015.
[37]
E. Levina, and P.J. Bickel, "Maximum likelihood estimation of intrinsic dimension", Adv. Neural Infor. Procss. Sys., vol. 17, pp. 777-784, 2005.
[38]
D.B. Graham, and N.M. Allinson, Characterizing virtual eigensignatures for general purpose face recognition Face Recognit. m Theory Appl.. pp. 446-456, 1998.
[39]
H.Y. Shen, and Q.C. Li, "Seismic wave field separation and noise attenuation in linear domain via singular value decomposition (SVD)", SEG International Exposition and 79th Annual Meeting, Houston, Texas, USA, 2009.