Abstract
High school statistical graph classification is one of the key steps in intelligent mathematics problem solving system. In this paper, a hierarchial classification method is proposed for high school statistical graph classification. Firstly, the dense Scale-invariant Feature Transform (SIFT) features of the input images are extracted. Secondly, the sparse coding of the SIFT features are obtained. Thirdly, these sparse features are pooled in multiscale. Finally, these pooled features are concatenated and then fed into single-hidden layer feedforward neural network for classification. The effectiveness of the proposed method is demonstrated on the constructed dataset, which contains 400 statistical graphs. In contrast to several state-of-the-art methods, the proposed method achieves better performance in terms of classification accuracy, especially when the size of the training samples is small.
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References
Bhuvaneswari, N., Sivakumar, V.: A comprehensive review on sparse representation for image classification in remote sensing. In: International Conference on Communication and Electronics Systems (ICCES), pp. 1–4. IEEE (2016)
Bosch, A., Zisserman, A., Muñoz, X.: Scene classification using a hybrid generative/discriminative approach. IEEE Trans. Pattern Anal. Mach. Intell. 30(4), 712–727 (2008)
Cortes, C., Vapnik, V.: Support-vector networks. Mach. Learn. 20(3), 273–297 (1995)
Dalal, N., Triggs, B.: Histograms of oriented gradients for human detection. In: IEEE Computer Society Conference on Computer Vision and Pattern Recognition, vol. 1, pp. 886–893. IEEE (2005)
Dammak, M., Mejdoub, M., Amar, C.B.: A survey of extended methods to the bag of visual words for image categorization and retrieval. In: 2014 International Conference on Computer Vision Theory and Applications (VISAPP), vol. 2, pp. 676–683. IEEE (2014)
Freeman, W.T., Roth, M.: Orientation histograms for hand gesture recognition. In: International Workshop on Automatic Face and Gesture Recognition, vol. 12, pp. 296–301 (1995)
Freund, Y., Schapire, R.E., et al.: Experiments with a new boosting algorithm. In: Proceedings of International Conference on Machine Learning, vol. 96, pp. 148–156 (1996)
He, Z., Yi, S., Cheung, Y.M., You, X., Tang, Y.Y.: Robust object tracking via key patch sparse representation. IEEE Trans. Cybern. 47(2), 354–364 (2017)
Hosseini, M.J., Hajishirzi, H., Etzioni, O., Kushman, N.: Learning to solve arithmetic word problems with verb categorization. In: EMNLP, pp. 523–533 (2014)
Huang, G.B., Zhou, H., Ding, X., Zhang, R.: Extreme learning machine for regression and multiclass classification. IEEE Trans. Syst. Man Cybern. Part B (Cybern.) 42(2), 513–529 (2012)
Huang, K., Tao, D., Yuan, Y., Li, X., Tan, T.: Biologically inspired features for scene classification in video surveillance. IEEE Trans. Syst. Man Cybern. Part B (Cybern.) 41(1), 307–313 (2011)
Jin-hua, T.: Research of vehicle video image recognition technology based on naive bayesian classification model. In: 2010 Third International Conference on Information and Computing (ICIC), vol. 2, pp. 17–20. IEEE (2010)
Krizhevsky, A., Sutskever, I., Hinton, G.E.: Imagenet classification with deep convolutional neural networks. In: Advances in Neural Information Processing Systems, pp. 1097–1105 (2012)
Kushman, N., Artzi, Y., Zettlemoyer, L., Barzilay, R.: Learning to Automatically Solve Algebra Word Problems. Association for Computational Linguistics (2014)
Lazebnik, S., Schmid, C., Ponce, J.: A maximum entropy framework for part-based texture and object recognition. In: Tenth IEEE International Conference on Computer Vision, vol. 1, pp. 832–838. IEEE (2005)
Lazebnik, S., Schmid, C., Ponce, J.: Beyond bags of features: spatial pyramid matching for recognizing natural scene categories. In: 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, vol. 2, pp. 2169–2178. IEEE (2006)
LeCun, Y., Bengio, Y., Hinton, G.: Deep learning. Nature 521(7553), 436–444 (2015)
Li, H., Wei, Y., Li, L., Chen, C.P.: Hierarchical feature extraction with local neural response for image recognition. IEEE Trans. Cybern. 43(2), 412–424 (2013)
Lin, Y.C., Liang, C.C., Hsu, K.Y., Huang, C.T., Miao, S.Y., Ma, W.Y., Ku, L.W., Liau, C.J., Su, K.Y.: Designing a tag-based statistical math word problem solver with reasoning and explanation. Int. J. Comput. Linguist. Chin. Lang. Process. (IJCLCLP) 20(2), 1–26 (2015)
Liu, L., Chen, L., Chen, C.P., Tang, Y.Y., et al.: Weighted joint sparse representation for removing mixed noise in image. IEEE Trans. Cybern. 47(3), 600–611 (2017)
Lowe, D.G.: Object recognition from local scale-invariant features. In: The Proceedings of the Seventh IEEE International Conference on Computer Vision, vol. 2, pp. 1150–1157. IEEE (1999)
Lowe, D.G.: Distinctive image features from scale-invariant keypoints. Int. J. Comput. Vision 60(2), 91–110 (2004)
Meyers, E., Wolf, L.: Using biologically inspired features for face processing. Int. J. Comput. Vision 76(1), 93–104 (2008)
Ren, X.D., Guo, H.N., He, G.C., Xu, X., Di, C., Li, S.H.: Convolutional neural network based on principal component analysis initialization for image classification. In: IEEE International Conference on Data Science in Cyberspace (DSC), pp. 329–334. IEEE (2016)
Serre, T., Wolf, L., Bileschi, S., Riesenhuber, M., Poggio, T.: Robust object recognition with cortex-like mechanisms. IEEE Trans. Pattern Anal. Mach. Intell. 29(3) (2007)
Serre, T., Wolf, L., Poggio, T.: Object recognition with features inspired by visual cortex. In: IEEE Computer Society Conference on Computer Vision and Pattern Recognition, vol. 2, pp. 994–1000. IEEE (2005)
Shi, S., Wang, Y., Lin, C.Y., Liu, X., Rui, Y.: Automatically solving number word problems by semantic parsing and reasoning. In: EMNLP, pp. 1132–1142 (2015)
Upadhyay, S., Chang, M.W., Chang, K.W., Yih, W.T.: Learning from explicit and implicit supervision jointly for algebra word problems. In: Conference on Empirical Methods in Natural Language Processing, pp. 297–306 (2016)
Wagner, A., Wright, J., Ganesh, A., Zhou, Z., Mobahi, H., Ma, Y.: Toward a practical face recognition system: robust alignment and illumination by sparse representation. IEEE Trans. Pattern Anal. Mach. Intell. 34(2), 372–386 (2012)
Yang, J., Yu, K., Gong, Y., Huang, T.: Linear spatial pyramid matching using sparse coding for image classification. In: IEEE Conference on Computer Vision and Pattern Recognition, pp. 1794–1801. IEEE (2009)
Yu, S., Abraham, Z.: Concept drift detection with hierarchical hypothesis testing. In: Proceedings of the 2017 SIAM International Conference on Data Mining, pp. 768–776. SIAM (2017)
Yu, S., Cao, Z., Jiang, X.: Robust linear discriminant analysis with a laplacian assumption on projection distribution. In: IEEE International Conference on Acoustics, Speech and Signal Processing, pp. 2567–2571 (2017)
Yu, S., Emigh, M., Santana, E., Príncipe, J.C.: Autoencoders trained with relevant information: blending shannon and wiener’s perspectives. In: 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 6115–6119. IEEE (2017)
Van der Zant, T., Schomaker, L., Haak, K.: Handwritten-word spotting using biologically inspired features. IEEE Trans. Pattern Anal. Mach. Intell. 30(11), 1945–1957 (2008)
Zhang, R., Lan, Y., Huang, G.B., Xu, Z.B., Soh, Y.C.: Dynamic extreme learning machine and its approximation capability. IEEE Trans. Cybern. 43(6), 2054–2065 (2013)
Acknowledgments
This work was supported in part by the National Natural Science Foundation of China under Grants 61502195 and 61772012, in part by the National Science & Technology Supporting Program during the Twelfth Five-year Plan Period granted by the Ministry of Science and Technology of China under Grant 2015BAK27B02, in part by the Humanities and Social Science project of Chinese Ministry of Education under Grant 17YJA880104, and in part by the Self-Determined Research Funds of CCNU From the Colleges’ Basic Research and Operation of MOE under Grants CCNU16A05022 and CCNU15A02020.
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Wei, Y., Shi, Y., Yao, H., Zhao, G., Liu, Q. (2018). High School Statistical Graph Classification Using Hierarchical Model for Intelligent Mathematics Problem Solving. In: Satoh, S. (eds) Image and Video Technology. PSIVT 2017. Lecture Notes in Computer Science(), vol 10799. Springer, Cham. https://doi.org/10.1007/978-3-319-92753-4_8
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DOI: https://doi.org/10.1007/978-3-319-92753-4_8
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