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Multi-layer PCA Network for Image Classification

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Structural, Syntactic, and Statistical Pattern Recognition (S+SSPR 2021)

Abstract

PCANet is a simple deep learning baseline for image classification, which learns the filters banks by PCA instead of stochastic gradient descent (SGD) in each layer. It shows a good performance for image classification tasks with only a few parameters and no backpropagation procedure. However, PCANet suffers from two main problems. The first problem is the features explosion which limits its depth to two layers. The second issue is the binarization process which leads to discriminative information loss. To handle these problems, we adopted CNN-like convolution layers to learn the PCA filter-bank and reduce the number of dimensions. We also used second-order pooling with z-score normalization to replace the histogram descriptor. The late fusion method is used to combine the class posteriors generated each layer. The proposed network has been tested on image classification tasks including MNIST, Cifar10, Cifar100 and Tiny ImageNet databases. The experimental results show that our model achieves better performance than standard PCANet and is competitive with some CNN methods.

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References

  1. Low, C.Y., Teoh, A.B.-J., Toh, K.-A.: Stacking PCANet+: an overly simplified convnets baseline for face recognition. IEEE Signal Process. Lett. 24(11), 1581–1585 (2017)

    Article  Google Scholar 

  2. Chan, T.-H., et al.: PCANet: a simple deep learning baseline for image classification? IEEE Trans. Image Process. 24(12), 5017–5032 (2015)

    Article  MathSciNet  Google Scholar 

  3. Yu, K., Salzmann, M.: Statistically-motivated second-order pooling. In: Proceedings of the European Conference on Computer Vision (ECCV) (2018)

    Google Scholar 

  4. Wang, Q., et al.: Deep CNNs meet global covariance pooling: better representation and generalization. arXiv preprint arXiv:1904.06836 (2019)

  5. Carreira, J., Caseiro, R., Batista, J., Sminchisescu, C.: Semantic segmentation with second-order pooling. In: Fitzgibbon, A., Lazebnik, S., Perona, P., Sato, Y., Schmid, C. (eds.) ECCV 2012. LNCS, vol. 7578, pp. 430–443. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-33786-4_32

    Chapter  Google Scholar 

  6. Mao, Y., Wang, R., Shan, S., Chen, X.: COSONet: compact second-order network for video face recognition. In: Jawahar, C.V., Li, H., Mori, G., Schindler, K. (eds.) ACCV 2018. LNCS, vol. 11363, pp. 51–67. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-20893-6_4

    Chapter  Google Scholar 

  7. Wang, Q., et al.: RAID-G: robust estimation of approximate infinite dimensional Gaussian with application to material recognition. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (2016)

    Google Scholar 

  8. Liu, Yu., Guo, Y., Georgiou, T., Lew, M.S.: Fusion that matters: convolutional fusion networks for visual recognition. Multimedia Tools Appl. 77(22), 29407–29434 (2018). https://doi.org/10.1007/s11042-018-5691-4

    Article  Google Scholar 

  9. Ergun, H., et al.: Early and late level fusion of deep convolutional neural networks for visual concept recognition. Int. J. Semant. Comput. 10(03), 379–397 (2016)

    Article  Google Scholar 

  10. Ebersbach, M., Herms, R., Eibl, M.: Fusion methods for ICD10 code classification of death certificates in multilingual corpora. In: CLEF (Working Notes), September 2017

    Google Scholar 

  11. Fan, C., et al.: PCANet-II: when PCANet meets the second order pooling. IEICE Trans. Inf. Syst. 101(8), 2159–2162 (2018)

    Article  Google Scholar 

  12. Zeiler, M.D., Fergus, R.: Stochastic pooling for regularization of deep convolutional neural networks. arXiv preprint arXiv:1301.3557 (2013)

  13. Goodfellow, I., et al.: Maxout networks. In: International Conference on Machine Learning. PMLR (2013)

    Google Scholar 

  14. Lin, M., et al.: Network in network. arXiv preprint arXiv:1312.4400 (2013)

  15. Springenberg, J.T., Dosovitskiy, A., Brox, T., Ried-miller, M.: Striving for simplicity: the all convolutional net. arXiv preprint arXiv:1412.6806 (2014)

  16. Larsson, G., Maire, M., Shakhnarovich, G.: FractalNet: ultra-deep neural networks without residuals. arXiv preprint arXiv:1605.07648 (2016)

  17. Huang, G., Sun, Yu., Liu, Z., Sedra, D., Weinberger, K.Q.: Deep networks with stochastic depth. In: Leibe, B., Matas, J., Sebe, N., Welling, M. (eds.) ECCV 2016. LNCS, vol. 9908, pp. 646–661. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-46493-0_39

    Chapter  Google Scholar 

  18. Huang, G., et al.: Densely connected convolutional networks. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (2017)

    Google Scholar 

  19. Krizhevsky, A., et al.: ImageNet classification with deep convolutional neural networks. In: Advances in Neural Information Processing Systems (2012)

    Google Scholar 

  20. Ng, C.J., Teoh, A.B.J.: DCTNet: a simple learning-free approach for face recognition. In: 2015 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference (APSIPA). IEEE (2015)

    Google Scholar 

  21. Xi, M., et al.: Local binary pattern network: a deep learning approach for face recognition. In: 2016 IEEE international conference on Image processing. IEEE (2016)

    Google Scholar 

  22. Zhang, Y., Geng, T., Wu, X., Zhou, J., Gao, D.: ICANet: a simple cascade linear convolution network for face recognition. EURASIP J. Image Video Process. 2018(1), 1–7 (2018). https://doi.org/10.1186/s13640-018-0288-4

    Article  Google Scholar 

  23. Wu, D., et al.: Kernel principal component analysis network for image classification. arXiv preprint arXiv:1512.06337 (2015)

  24. Simonyan, K., Zisserman, A.: Very deep convolutional networks for large-scale image recognition. arXiv preprint arXiv: 1409.1556 (2014)

  25. Zeiler, M.D., Fergus, R.: Visualizing and understanding convolutional networks. In: Fleet, D., Pajdla, T., Schiele, B., Tuytelaars, T. (eds.) ECCV 2014. LNCS, vol. 8689, pp. 818–833. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-10590-1_53

    Chapter  Google Scholar 

  26. LeCun, Y., et al.: Gradient-based learning applied to document recognition. Proc. IEEE 86(11), 2278–2324 (1998)

    Article  Google Scholar 

  27. Abai, Z., Rajmalwar, N.: DenseNet models for tiny imagenet classification. arXiv preprint arXiv:1904.10429 (2019)

  28. Fan, R.-E., et al.: LIBLINEAR: a library for large linear classification. J. Mach. Learn. Res. 9, 1871–1874 (2008)

    MATH  Google Scholar 

  29. Krizhevsky, A., et al.: Learning multiple layers of features from tiny images (2009)

    Google Scholar 

  30. https://tiny-imagenet.herokuapp.com/

  31. Qaraei, M., et al.: Randomized non-linear PCA networks. Inf. Sci. 545, 241–253 (2021)

    Article  MathSciNet  Google Scholar 

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Correspondence to Mubarakah Alotaibi or Richard C. Wilson .

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Alotaibi, M., Wilson, R.C. (2021). Multi-layer PCA Network for Image Classification. In: Torsello, A., Rossi, L., Pelillo, M., Biggio, B., Robles-Kelly, A. (eds) Structural, Syntactic, and Statistical Pattern Recognition. S+SSPR 2021. Lecture Notes in Computer Science(), vol 12644. Springer, Cham. https://doi.org/10.1007/978-3-030-73973-7_28

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  • DOI: https://doi.org/10.1007/978-3-030-73973-7_28

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  • Print ISBN: 978-3-030-73972-0

  • Online ISBN: 978-3-030-73973-7

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