Abstract
We present an integrated model for Bayesian learning of sparse representation and classifier training, and apply it for the task of visual recognition. Most previous work learns the sparse representation and trains the classifier on top of it in two separate steps. We cast these two into a unified probabilistic model. This way, the supervised labels can effectively affect the learning of the sparse representation. In the training phase, the inference of the joint expectation for dictionary, code, classifier and other variables under the observation of descriptors and labels is carried out by Gibbs Sampling. In the testing phase, based on the learned parameters, the sparse code and the class label of the image are obtained by Bayesian inference. The proposed model is evaluated on Caltech 101 dataset and its efficacy is demonstrated by a careful analysis of the experimental results.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Elad, M., Aharon, M.: Image denosing via sparse and redundant representations over learned dictionaries. IEEE Trans. Img. Proc. 54(12), 3736–3745 (2006)
Marial, J., Elad, M., Sapiro, G.: Sparse representation for color image restoration. IEEE Trans. Img. Proc. (2008)
Ranzato, M., Poultney, C., Chopra, S., LeCun, Y.: Efficient learning of sparse representations with an energy-based model. In: NIPS (2006)
Duarte-Carvajalino, J.M., Sapiro, G.: Learning to sense sparse signals: Simultaneous sensing matrix and sparsifying dictionary optimization. IMA Preprint Series 2211 (2008)
Yang, J., Yu, K., Gong, Y., Huang, T.: Linear spatial pyramid matching using sparse coding for image classification. In: CVPR (2009)
Wang, J., Yang, J., Yu, K., Lv, F., Huang, T., Gong, Y.: Locality-constrained linear coding for image classification. In: CVPR (2010)
Bradley, D., Bagnell, J.: Differential sparse coding. In: NIPS (2008)
Paisley, J., Carin, L.: Nonparametric factor analysis with beta process priors. In: Proceedings of the 26th Annual International Conference on Machine Learning, pp. 777–784. ACM (2009)
Hjort, N.: Nonparametric Bayes estimators based on beta processes in models for life history data. The Annals of Statistics, 1259–1294 (1990)
Zhou, M., Chen, H., Paisley, J., et al.: Non-parametric Bayesian dictionary learning for sparse image representations (2009)
Li, F., Fergus, R., Perona, P.: Learning generative visual models from few training examples: an incremental bayesian approach tested on 101 object categories. In: CVPR Workshop on Generative-Model Based Vision (2004)
Jia, Y., Huang, C., Darrell, T.: Beyond spatial pyramids: Receptive field learning for pooled image features. In: Proc. CVPR (2012)
Wright, J., Yang, M., Ganesh, A., Sastry, S., Ma, Y.: Robust face recognition via sparse representation. TPAMI 31(2), 210–227 (2009)
Zhang, Q., Li, B.: Discriminative k-svd for dictionary learning in face recognition. In: Proc. CVPR (2010)
Jiang, Z., Lin, Z., Davis, L.: Learning a discriminative dictionary for sparse coding via label consistent K-SVD. In: 2011 IEEE Conference on Proc. CVPR, pp. 1697–1704. IEEE (2011)
Feng, J., Ni, B., Tian, Q., Yan, S.: Geometric ‘p-norm feature pooling for image classification. In: Proc. CVPR (2011)
Zhu, J., Zou, W., Yang, X., et al.: Image Classification by Hierarchical Spatial Pooling with Partial Least Squares Analysis. In: Proc. BMVC (2012)
Boureau, Y.L., Roux, N.L., Bach, F., Ponce, J., LeCun, Y.: Ask the locals: multi-way local pooling for image recognition. In: Proc. ICCV (2011)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer International Publishing Switzerland
About this paper
Cite this paper
Li, J., Hua, G., Lan, X., Zheng, N. (2013). An Integrated Model for Bayesian Learning of Sparse Representation and Classifier Training. In: Huet, B., Ngo, CW., Tang, J., Zhou, ZH., Hauptmann, A.G., Yan, S. (eds) Advances in Multimedia Information Processing – PCM 2013. PCM 2013. Lecture Notes in Computer Science, vol 8294. Springer, Cham. https://doi.org/10.1007/978-3-319-03731-8_57
Download citation
DOI: https://doi.org/10.1007/978-3-319-03731-8_57
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-03730-1
Online ISBN: 978-3-319-03731-8
eBook Packages: Computer ScienceComputer Science (R0)