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2018 | OriginalPaper | Buchkapitel

Robust Manifold Learning Based Ordinal Discriminative Correlation Regression

verfasst von : Qing Tian, Wenqiang Zhang, Liping Wang

Erschienen in: Cloud Computing and Security

Verlag: Springer International Publishing

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Abstract

Canonical correlation analysis (CCA) is a typical learning paradigm of capturing the correlation components across multi-views of the same data. When countered with such data with ordinal labels, the accuracy performance yielded by traditional CCA is usually not desirable because of ignoring the ordinal relationships among data labels. In order to incorporate the ordinal information into the objective function of CCA, the so-called ordinal discriminative CCA (OR-DisCCA) was presented. Although OR-DisCCA can yield better ordinal regression results, its performance will be deteriorated when the data are corrupted with outliers because the ordered class centers easily tend to be biased by the outliers. To address this issue, in this work we construct robust manifold ordinal discriminative correlation regression (rmODCR) by replacing the traditional (\(l_2\)-norm) class centers with \(l_p\)-norm centers in objective optimization. Finally, we experimentally evaluate the effectiveness of the proposed method.

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Literatur
1.
Zurück zum Zitat Breukelen, M.V., Duin, R.P.W., Tax, D.M.J., Hartog, J.E.D.: Handwritten digit recognition by combined classifiers. Kybern. Praha 34, 381–386 (1998)MATH Breukelen, M.V., Duin, R.P.W., Tax, D.M.J., Hartog, J.E.D.: Handwritten digit recognition by combined classifiers. Kybern. Praha 34, 381–386 (1998)MATH
3.
Zurück zum Zitat Feng, L., et al.: Spectral embedding-based multiview features fusion for content-based image retrieval. J. Electron. Imaging 26, 1 (2017)CrossRef Feng, L., et al.: Spectral embedding-based multiview features fusion for content-based image retrieval. J. Electron. Imaging 26, 1 (2017)CrossRef
4.
Zurück zum Zitat Han, Y., Wu, F., Tao, D., Shao, J., Zhuang, Y., Jiang, J.: Sparse unsupervised dimensionality reduction for multiple view data. IEEE Trans. Circuits Syst. Video Technol. 22, 1485–1496 (2012)CrossRef Han, Y., Wu, F., Tao, D., Shao, J., Zhuang, Y., Jiang, J.: Sparse unsupervised dimensionality reduction for multiple view data. IEEE Trans. Circuits Syst. Video Technol. 22, 1485–1496 (2012)CrossRef
5.
Zurück zum Zitat Hou, C., Zhang, C., Wu, Y., Nie, F.: Multiple view semi-supervised dimensionality reduction. Pattern Recognit. 43, 720–730 (2010)CrossRef Hou, C., Zhang, C., Wu, Y., Nie, F.: Multiple view semi-supervised dimensionality reduction. Pattern Recognit. 43, 720–730 (2010)CrossRef
6.
Zurück zum Zitat Huang, H., He, H., Fan, X., Zhang, J.: Super-resolution of human face image using canonical correlation analysis. Pattern Recognit. 43, 2532–2543 (2010)CrossRef Huang, H., He, H., Fan, X., Zhang, J.: Super-resolution of human face image using canonical correlation analysis. Pattern Recognit. 43, 2532–2543 (2010)CrossRef
7.
Zurück zum Zitat Ji, H., Shen, X., Sun, Q., Ji, Z.: Sparse discrimination based multiset canonical correlation analysis for multi-feature fusion and recognition. In: British Machine Vision Conference, pp. 141.1–141.9 (2015) Ji, H., Shen, X., Sun, Q., Ji, Z.: Sparse discrimination based multiset canonical correlation analysis for multi-feature fusion and recognition. In: British Machine Vision Conference, pp. 141.1–141.9 (2015)
8.
Zurück zum Zitat Juefei-Xu, F., Pal, D.K., Savvides, M.: NIR-VIS heterogeneous face recognition via cross-spectral joint dictionary learning and reconstruction. In: Computer Vision and Pattern Recognition Workshops, pp. 141–150 (2015) Juefei-Xu, F., Pal, D.K., Savvides, M.: NIR-VIS heterogeneous face recognition via cross-spectral joint dictionary learning and reconstruction. In: Computer Vision and Pattern Recognition Workshops, pp. 141–150 (2015)
9.
Zurück zum Zitat Kamada, C., Kanezaki, A., Harada, T.: Probabilistic semi-canonical correlation analysis. In: ACM International Conference on Multimedia, pp. 1131–1134 (2015) Kamada, C., Kanezaki, A., Harada, T.: Probabilistic semi-canonical correlation analysis. In: ACM International Conference on Multimedia, pp. 1131–1134 (2015)
10.
Zurück zum Zitat Kawashima, T., Ogawa, T., Haseyama, M.: A rating prediction method for e-commerce application using ordinal regression based on LDA with multi-modal features. In: Consumer Electronics, pp. 260–261 (2013) Kawashima, T., Ogawa, T., Haseyama, M.: A rating prediction method for e-commerce application using ordinal regression based on LDA with multi-modal features. In: Consumer Electronics, pp. 260–261 (2013)
11.
13.
Zurück zum Zitat Lai, P.L., Fyfe, C.: Kernel and nonlinear canonical correlation analysis. Int. J. Neural Syst. 10, 365–377 (2000)CrossRef Lai, P.L., Fyfe, C.: Kernel and nonlinear canonical correlation analysis. Int. J. Neural Syst. 10, 365–377 (2000)CrossRef
14.
Zurück zum Zitat Lawrence, C.T.: A computationally efficient feasible sequential quadratic programming algorithm. Soc. Ind. Appl. Math. 11, 1092–1118 (2000)MathSciNetMATH Lawrence, C.T.: A computationally efficient feasible sequential quadratic programming algorithm. Soc. Ind. Appl. Math. 11, 1092–1118 (2000)MathSciNetMATH
15.
Zurück zum Zitat Melzer, T., Reiter, M., Bischof, H.: Appearance models based on kernel canonical correlation analysis. Pattern Recognit. 36, 1961–1971 (2003)CrossRef Melzer, T., Reiter, M., Bischof, H.: Appearance models based on kernel canonical correlation analysis. Pattern Recognit. 36, 1961–1971 (2003)CrossRef
16.
Zurück zum Zitat Meng, R., Rice, S.G., Wang, J., Sun, X.: A fusion steganographic algorithm based on faster R-CNN. Comput. Mater. Contin. 55, 1–16 (2018) Meng, R., Rice, S.G., Wang, J., Sun, X.: A fusion steganographic algorithm based on faster R-CNN. Comput. Mater. Contin. 55, 1–16 (2018)
17.
18.
Zurück zum Zitat Pearson, E.S.: Relations between two sets of variates. Biometrika 28, 321–377 (1936)CrossRef Pearson, E.S.: Relations between two sets of variates. Biometrika 28, 321–377 (1936)CrossRef
20.
Zurück zum Zitat Rupnik, J., Grobelnik, M.: Cross-lingual search over 22 european languages. In: International ACM SIGIR Conference on Research and Development in Information Retrieval, pp. 883–883 (2008) Rupnik, J., Grobelnik, M.: Cross-lingual search over 22 european languages. In: International ACM SIGIR Conference on Research and Development in Information Retrieval, pp. 883–883 (2008)
21.
Zurück zum Zitat Sargin, M.E., Erzin, E., Yemez, Y., Tekalp, A.M.: Multimodal speaker identification using canonical correlation analysis. In: Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2006, pp. 613–616 (2006) Sargin, M.E., Erzin, E., Yemez, Y., Tekalp, A.M.: Multimodal speaker identification using canonical correlation analysis. In: Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2006, pp. 613–616 (2006)
22.
Zurück zum Zitat Sargin, M.E., Yemez, Y., Erzin, E., Tekalp, A.M.: Audiovisual synchronization and fusion using canonical correlation analysis. IEEE Trans. Multimed. 9, 1396–1403 (2007)CrossRef Sargin, M.E., Yemez, Y., Erzin, E., Tekalp, A.M.: Audiovisual synchronization and fusion using canonical correlation analysis. IEEE Trans. Multimed. 9, 1396–1403 (2007)CrossRef
23.
Zurück zum Zitat Sun, B.Y., Li, J., Wu, D.D., Zhang, X.M., Li, W.B.: Kernel discriminant learning for ordinal regression. IEEE Trans. Knowl. Data Eng. 22, 906–910 (2009)CrossRef Sun, B.Y., Li, J., Wu, D.D., Zhang, X.M., Li, W.B.: Kernel discriminant learning for ordinal regression. IEEE Trans. Knowl. Data Eng. 22, 906–910 (2009)CrossRef
24.
Zurück zum Zitat Sun, T., Chen, S., Yang, J., Shi, P.: A novel method of combined feature extraction for recognition. In: Eighth IEEE International Conference on Data Mining, pp. 1043–1048 (2008a) Sun, T., Chen, S., Yang, J., Shi, P.: A novel method of combined feature extraction for recognition. In: Eighth IEEE International Conference on Data Mining, pp. 1043–1048 (2008a)
25.
Zurück zum Zitat Sun, T.K., Chen, S.C., Jin, Z., Yang, J.Y.: Kernelized discriminative canonical correlation analysis. In: International Conference on Wavelet Analysis and Pattern Recognition, pp. 1283–1287 (2008b) Sun, T.K., Chen, S.C., Jin, Z., Yang, J.Y.: Kernelized discriminative canonical correlation analysis. In: International Conference on Wavelet Analysis and Pattern Recognition, pp. 1283–1287 (2008b)
26.
Zurück zum Zitat Tae-Kyun, K., Roberto, C.: Canonical correlation analysis of video volume tensors for action categorization and detection. IEEE Trans. Pattern Anal. Mach. Intell. 31, 1415–1428 (2009)CrossRef Tae-Kyun, K., Roberto, C.: Canonical correlation analysis of video volume tensors for action categorization and detection. IEEE Trans. Pattern Anal. Mach. Intell. 31, 1415–1428 (2009)CrossRef
27.
Zurück zum Zitat Tian, Q., Chen, S.: Cross-heterogeneous-database age estimation through correlation representation learning. Neurocomputing 238, 286–295 (2017)CrossRef Tian, Q., Chen, S.: Cross-heterogeneous-database age estimation through correlation representation learning. Neurocomputing 238, 286–295 (2017)CrossRef
28.
Zurück zum Zitat Vinokourov, A., Shawe-Taylor, J., Cristianini, N.: Inferring a semantic representation of text via cross-language correlation analysis. In: Advances of Neural Information Processing Systems, pp. 1497–1504 (2002) Vinokourov, A., Shawe-Taylor, J., Cristianini, N.: Inferring a semantic representation of text via cross-language correlation analysis. In: Advances of Neural Information Processing Systems, pp. 1497–1504 (2002)
29.
Zurück zum Zitat Wang, L., Chen, S.: Joint representation classification for collective face recognition. Pattern Recognit. 63, 182–192 (2017)CrossRef Wang, L., Chen, S.: Joint representation classification for collective face recognition. Pattern Recognit. 63, 182–192 (2017)CrossRef
30.
Zurück zum Zitat Zeng, D., Dai, Y., Li, F., Sherratt, R.S., Wang, J.: Adversarial learning for distant supervised relation extraction. Comput. Mater. Contin. 55, 1–16 (2018) Zeng, D., Dai, Y., Li, F., Sherratt, R.S., Wang, J.: Adversarial learning for distant supervised relation extraction. Comput. Mater. Contin. 55, 1–16 (2018)
31.
Zurück zum Zitat Zhou, H.X., Chen, S.C.: Ordinal discriminative canonical correlation analysis. J. Softw. 25, 2018–2025 (2014)MATH Zhou, H.X., Chen, S.C.: Ordinal discriminative canonical correlation analysis. J. Softw. 25, 2018–2025 (2014)MATH
Metadaten
Titel
Robust Manifold Learning Based Ordinal Discriminative Correlation Regression
verfasst von
Qing Tian
Wenqiang Zhang
Liping Wang
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-030-00021-9_60