Abstract
This paper studies the problem of deep joint-clustering using auto-encoder. For this task, most algorithms solve a multi-objective optimization problem, where it is then transformed into a sing-objective problem by linear scalarization techniques. However, it introduces the scaling problem in latent space in a class of algorithms. We propose an extension to solve this problem by using scale invariance distance functions. The advantage of this extension is demonstrated for a particular case of joint-clustering with MSSC (minimizing sum-of-squares clustering). Numerical experiments on several benchmark datasets illustrate the superiority of our extension over state-of-the-art algorithms with respect to clustering accuracy.
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References
Affeldt, S., Labiod, L., Nadif, M.: Spectral clustering via ensemble deep autoencoder learning (SC-EDAE). arXiv:1901.02291 [cs, stat], January 2019
Aytekin, C., Ni, X., Cricri, F., Aksu, E.: Clustering and unsupervised anomaly detection with \(\ell _2\) normalized deep auto-encoder representations. arXiv:1802.00187 [cs], February 2018
Cai, D., He, X., Han, J.: Locally consistent concept factorization for document clustering. IEEE Trans. Knowl. Data Eng. 23(6), 902–913 (2011)
Caron, M., Bojanowski, P., Joulin, A., Douze, M.: Deep clustering for unsupervised learning of visual features. In: Ferrari, V., Hebert, M., Sminchisescu, C., Weiss, Y. (eds.) Computer Vision – ECCV 2018. Lecture Notes in Computer Science, pp. 139–156. Springer, Cham (2018)
Chen, D., Lv, J., Zhang, Y.: Unsupervised multi-manifold clustering by learning deep representation. In: Workshops at the Thirty-First AAAI Conference on Artificial Intelligence, March 2017
Das, D., Ghosh, R., Bhowmick, B.: Deep representation learning characterized by inter-class separation for image clustering. In: 2019 IEEE Winter Conference on Applications of Computer Vision (WACV), pp. 628–637, January 2019
Dhillon, I.S., Modha, D.S.: Concept decompositions for large sparse text data using clustering. Mach. Learn. 42(1), 143–175 (2001)
Ghasedi Dizaji, K., Herandi, A., Deng, C., Cai, W., Huang, H.: Deep clustering via joint convolutional autoencoder embedding and relative entropy minimization. In: Proceedings of the IEEE International Conference on Computer Vision, pp. 5736–5745 (2017)
Glorot, X., Bengio, Y.: Understanding the difficulty of training deep feedforward neural networks. In: Proceedings of the Thirteenth International Conference on Artificial Intelligence and Statistics, pp. 249–256, March 2010
Guo, X.: Deep embedded clustering with data augmentation. In: ACML, p. 16 (2018)
Guo, X., Gao, L., Liu, X., Yin, J.: Improved deep embedded clustering with local structure preservation. In: International Joint Conference on Artificial Intelligence (IJCAI-17), pp. 1753–1759 (2017)
Huang, P., Huang, Y., Wang, W., Wang, L.: Deep embedding network for clustering. In: 2014 22nd International Conference on Pattern Recognition, pp. 1532–1537, August 2014
Ji, P., Zhang, T., Li, H., Salzmann, M., Reid, I.: Deep subspace clustering networks. In: NIPS, September 2017
Kingma, D.P., Ba, J.: Adam: a method for stochastic optimization. arXiv:1412.6980 [cs], December 2014
Le Tan, D.K., Le, H., Hoang, T., Do, T.T., Cheung, N.M.: DeepVQ: a deep network architecture for vector quantization. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition Workshops, pp. 2579–2582 (2018)
Lecun, Y., Bottou, L., Bengio, Y., Haffner, P.: Gradient-based learning applied to document recognition. Proc. IEEE 86(11), 2278–2324 (1998)
Lovász, L., Plummer, M.D.: Matching Theory. American Mathematical Society, Providence (2009)
Nair, V., Hinton, G.E.: Rectified linear units improve restricted Boltzmann machines. In: Proceedings of the 27th International Conference on International Conference on Machine Learning, ICML 2010, pp. 807–814. Omnipress, USA (2010)
Rumelhart, D.E., Hinton, G.E., Williams, R.J.: Learning representations by back-propagating errors. Nature 323(6088), 533 (1986)
Shah, S.A., Koltun, V.: Deep continuous clustering. arXiv:1803.01449 [cs], March 2018
Shaol, X., Ge, K., Su, H., Luo, L., Peng, B., Li, D.: Deep discriminative clustering network. In: 2018 International Joint Conference on Neural Networks (IJCNN), pp. 1–7. IEEE, Rio de Janeiro, July 2018
Song, C., Liu, F., Huang, Y., Wang, L., Tan, T.: Auto-encoder based data clustering. In: Progress in Pattern Recognition. Image Analysis, Computer Vision, and Applications, pp. 117–124. Lecture Notes in Computer Science, Springer, Heidelberg, November 2013
Steinbach, M., Ertöz, L., Kumar, V.: The challenges of clustering high dimensional data. In: Wille, L.T. (ed.) New Directions in Statistical Physics: Econophysics, Bioinformatics, and Pattern Recognition, pp. 273–309. Springer, Heidelberg (2004)
Strehl, A., Ghosh, J.: Cluster ensembles - a knowledge reuse framework for combining multiple partitions. J. Mach. Learn. Res. 3, 583–617 (2002). http://www.jmlr.org/papers/v3/strehl02a.html
Tian, K., Zhou, S., Guan, J.: DeepCluster: a general clustering framework based on deep learning. In: Joint European Conference on Machine Learning and Knowledge Discovery in Databases, pp. 809–825. Springer (2017)
Xiao, H., Rasul, K., Vollgraf, R.: Fashion-MNIST: a novel image dataset for benchmarking machine learning algorithms. arXiv:1708.07747 [cs, stat], August 2017
Xie, J., Girshick, R., Farhadi, A.: Unsupervised deep embedding for clustering analysis. In: International Conference on Machine Learning, pp. 478–487 (2016)
Yang, B., Fu, X., Sidiropoulos, N.D., Hong, M.: Towards k-means-friendly spaces: simultaneous deep learning and clustering. In: International Conference on Machine Learning, pp. 3861–3870, 17 July 2017. http://proceedings.mlr.press/v70/yang17b.html
Yang, J., Parikh, D., Batra, D.: Joint unsupervised learning of deep representations and image clusters. In: 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 5147–5156, June 2016
Zhang, P., Gong, M., Zhang, H., Liu, J.: DRLNet: deep difference representation learning network and an unsupervised optimization framework. In: IJCAI (2017)
Zhang, T., Ji, P., Harandi, M., Hartley, R., Reid, I.: Scalable deep k-subspace clustering. In: Jawahar, C., Li, H., Mori, G., Schindler, K. (eds.) Computer Vision – ACCV 2018. Lecture Notes in Computer Science, pp. 466–481. Springer International Publishing, Cham (2019)
Zhang, T., Ji, P., Harandi, M., Huang, W., Li, H.: Neural collaborative subspace clustering. In: Chaudhuri, K., Salakhutdinov, R. (eds.) Proceedings of the 36th International Conference on Machine Learning. Proceedings of Machine Learning Research, vol. 97, pp. 7384–7393. PMLR, June 2019
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Tran, B., Le Thi, H.A. (2020). Deep Clustering with Spherical Distance in Latent Space. In: Le Thi, H., Le, H., Pham Dinh, T., Nguyen, N. (eds) Advanced Computational Methods for Knowledge Engineering. ICCSAMA 2019. Advances in Intelligent Systems and Computing, vol 1121. Springer, Cham. https://doi.org/10.1007/978-3-030-38364-0_21
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DOI: https://doi.org/10.1007/978-3-030-38364-0_21
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