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Published in: Neural Computing and Applications 6/2012

01-09-2012 | LSMS2010 and ICSEE 2010

DP-PMK: an improved pyramid matching kernel for approximating correspondences in high dimensions

Authors: Jun Zhang, Guangzhou Zhao, Hong Gu

Published in: Neural Computing and Applications | Issue 6/2012

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Abstract

As the feature dimension increases, the original pyramid matching kernel suffers from distortion factors that increase linearly with the feature dimension. This paper proposes a new method by consistently dividing the feature space into two subspaces while generating several levels. In each subspace of the level, the original pyramid matching is used. Then, a weighted sum of every subspace at each level is made as the final measurement of similarity. Experiments on data set Caltech-101 and ETH-80 show that compared with other related algorithms which need hundreds of times of original computation time, dimension partition pyramid matching kernel only needs about 4–6 times less of original computation time to obtain the similar accuracy.

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Literature
1.
go back to reference Grauman K, Darrell T (2005) The pyramid match kernel: discriminative classification with sets of image features. In: Proceedings of the IEEE conference on ICCV, Beijing. IEEE, pp 1458–1465 Grauman K, Darrell T (2005) The pyramid match kernel: discriminative classification with sets of image features. In: Proceedings of the IEEE conference on ICCV, Beijing. IEEE, pp 1458–1465
2.
go back to reference Grauman K, Darrell T (2007) Approximate correspondences in high dimensions. Adv Neural Inf Process Syst 19:505 Grauman K, Darrell T (2007) Approximate correspondences in high dimensions. Adv Neural Inf Process Syst 19:505
3.
go back to reference Lazebnik S, Schmid C, Ponce J (2006) Beyond bags of features: spatial pyramid matching for recognizing natural scene categories. In: Proceedings of the IEEE conference on CVPR. IEEE, New York, pp 2169–2178 Lazebnik S, Schmid C, Ponce J (2006) Beyond bags of features: spatial pyramid matching for recognizing natural scene categories. In: Proceedings of the IEEE conference on CVPR. IEEE, New York, pp 2169–2178
4.
go back to reference Liu Y, Wang X, Zha H (2008) Dimension amnesic pyramid match kernel. In: Proceedings of the 23rd national conference on artificial intelligence, Chicago. AAAI Press, pp 652–658 Liu Y, Wang X, Zha H (2008) Dimension amnesic pyramid match kernel. In: Proceedings of the 23rd national conference on artificial intelligence, Chicago. AAAI Press, pp 652–658
5.
go back to reference Zhang J, Zhao G, Gu H (2010) An improved pyramid matching kernel. In: 2010 International conference on life system modeling and simulation & 2010 international conference on intelligent computing for sustainable energy and environment (LSMS & ICSEE 2010), vol 6328, pp 52–61 Zhang J, Zhao G, Gu H (2010) An improved pyramid matching kernel. In: 2010 International conference on life system modeling and simulation & 2010 international conference on intelligent computing for sustainable energy and environment (LSMS & ICSEE 2010), vol 6328, pp 52–61
6.
go back to reference Grauman K, Darrell T (2004) Fast contour matching using approximate earth mover’s distance. In: Proceedings of the 2004 IEEE computer society conference on computer vision and pattern recognition, Washington. IEEE, pp 220–227 Grauman K, Darrell T (2004) Fast contour matching using approximate earth mover’s distance. In: Proceedings of the 2004 IEEE computer society conference on computer vision and pattern recognition, Washington. IEEE, pp 220–227
7.
go back to reference Berg A, Berg T, Malik J (2005) Shape matching and object recognition using low distortion correspondences. In: Proceedings of the IEEE conference on CVPR, San Diego. IEEE, pp 26–33 Berg A, Berg T, Malik J (2005) Shape matching and object recognition using low distortion correspondences. In: Proceedings of the IEEE conference on CVPR, San Diego. IEEE, pp 26–33
8.
go back to reference Lyu S (2005) Mercer kernels for object recognition with local features. In: Proceedings of the IEEE conference on CVPR, San Diego. IEEE, pp 223–229 Lyu S (2005) Mercer kernels for object recognition with local features. In: Proceedings of the IEEE conference on CVPR, San Diego. IEEE, pp 223–229
9.
go back to reference Charikar M (2002) Similarity estimation techniques from rounding algorithms. In: Proceedings of the 34th annual ACM symposium on theory of computing, Montreal. Association for Computing Machinery, pp 380–388 Charikar M (2002) Similarity estimation techniques from rounding algorithms. In: Proceedings of the 34th annual ACM symposium on theory of computing, Montreal. Association for Computing Machinery, pp 380–388
10.
go back to reference Indyk P, Thaper N (2003) Fast image retrieval via embeddings. In: 3rd International workshop on statistical and computational theories of vision, Nice Indyk P, Thaper N (2003) Fast image retrieval via embeddings. In: 3rd International workshop on statistical and computational theories of vision, Nice
11.
go back to reference Agarwal P, Varadarajan K (2004) A near-linear algorithm for Euclidean bipartite matching. In: Symposium on computational geometry Agarwal P, Varadarajan K (2004) A near-linear algorithm for Euclidean bipartite matching. In: Symposium on computational geometry
12.
go back to reference Grauman K, Darrell T (2007) The pyramid match kernel: efficient learning with sets of features. J Mach Learn Res 8:725–760MATH Grauman K, Darrell T (2007) The pyramid match kernel: efficient learning with sets of features. J Mach Learn Res 8:725–760MATH
13.
go back to reference Grauman K (2006) Matching sets of features for efficient retrieval and recognition. MIT, Cambridge Grauman K (2006) Matching sets of features for efficient retrieval and recognition. MIT, Cambridge
14.
go back to reference Kapoor A, Shenoy P, Tan D (2008) Combining brain computer interfaces with vision for object categorization. In: Proceedings of the IEEE conference on CVPR, Alaska. IEEE, pp 1–8 Kapoor A, Shenoy P, Tan D (2008) Combining brain computer interfaces with vision for object categorization. In: Proceedings of the IEEE conference on CVPR, Alaska. IEEE, pp 1–8
15.
go back to reference Saenko K, Darrell T (2009) Filtering abstract senses from image search results. In: Proceedings of the 23rd annual conference on NIPS, Vancouver. MIT Press, pp 1–9 Saenko K, Darrell T (2009) Filtering abstract senses from image search results. In: Proceedings of the 23rd annual conference on NIPS, Vancouver. MIT Press, pp 1–9
16.
go back to reference Bosch A, Zisserman A, Munoz X (2007) Representing shape with a spatial pyramid kernel. In: Proceedings of the 6th ACM international conference on image and video retrieval, Amsterdam. Association for Computing Machinery, pp 401–408 Bosch A, Zisserman A, Munoz X (2007) Representing shape with a spatial pyramid kernel. In: Proceedings of the 6th ACM international conference on image and video retrieval, Amsterdam. Association for Computing Machinery, pp 401–408
17.
go back to reference Yeh T, Lee J, Darrell T, MIT C (2007) Adaptive vocabulary forests for dynamic indexing and category learning. In: Proceedings of the IEEE international conference on computer vision, Rio de Janeiro. IEEE, pp 1–8 Yeh T, Lee J, Darrell T, MIT C (2007) Adaptive vocabulary forests for dynamic indexing and category learning. In: Proceedings of the IEEE international conference on computer vision, Rio de Janeiro. IEEE, pp 1–8
18.
go back to reference Fu S, Shengyang G, Hou Z et al (2008) Multiple kernel learning from sets of partially matching image features. In: Proceedings of international conference on pattern recognition, Florida. IEEE Computer Society, pp 1–4 Fu S, Shengyang G, Hou Z et al (2008) Multiple kernel learning from sets of partially matching image features. In: Proceedings of international conference on pattern recognition, Florida. IEEE Computer Society, pp 1–4
19.
go back to reference He J, Chang S, Xie L (2008) Fast kernel learning for spatial pyramid matching. In: Proceedings of the IEEE conference on computer vision and pattern recognition, Alaska. IEEE, pp 1–7 He J, Chang S, Xie L (2008) Fast kernel learning for spatial pyramid matching. In: Proceedings of the IEEE conference on computer vision and pattern recognition, Alaska. IEEE, pp 1–7
20.
go back to reference Shawe-Taylor J, Cristianini N (2004) Kernel methods for pattern analysis. Cambridge University Press, CambridgeCrossRef Shawe-Taylor J, Cristianini N (2004) Kernel methods for pattern analysis. Cambridge University Press, CambridgeCrossRef
22.
go back to reference Fei-Fei L, Fergus R, Perona P (2004) Learning generative visual models from few training examples. In: Workshop on generative model based vision, Washington. Academic Press, p 178 Fei-Fei L, Fergus R, Perona P (2004) Learning generative visual models from few training examples. In: Workshop on generative model based vision, Washington. Academic Press, p 178
23.
go back to reference Harris C, Stephens M (1988) A combined corner and edge detector. In: Proceedings of the 4th Alvey vision conference, Manchester, pp 147–151 Harris C, Stephens M (1988) A combined corner and edge detector. In: Proceedings of the 4th Alvey vision conference, Manchester, pp 147–151
24.
go back to reference Lowe DG (2004) Distinctive image features from scale-invariant keypoints. Int J Comput Vis 60(2):91–110CrossRef Lowe DG (2004) Distinctive image features from scale-invariant keypoints. Int J Comput Vis 60(2):91–110CrossRef
25.
go back to reference Leibe B, Schiele B (2003) Analyzing appearance and contour based methods for object categorization. In: Proceedings of the IEEE conference on CVPR, Madison. IEEE, pp 409–415 Leibe B, Schiele B (2003) Analyzing appearance and contour based methods for object categorization. In: Proceedings of the IEEE conference on CVPR, Madison. IEEE, pp 409–415
26.
go back to reference Ke Y, Sukthankar R (2004) PCA-SIFT: a more distinctive representation for local image descriptors. In: Proceedings of the IEEE computer society conference on computer vision and pattern recognition, Washington. IEEE, pp 503–516 Ke Y, Sukthankar R (2004) PCA-SIFT: a more distinctive representation for local image descriptors. In: Proceedings of the IEEE computer society conference on computer vision and pattern recognition, Washington. IEEE, pp 503–516
Metadata
Title
DP-PMK: an improved pyramid matching kernel for approximating correspondences in high dimensions
Authors
Jun Zhang
Guangzhou Zhao
Hong Gu
Publication date
01-09-2012
Publisher
Springer-Verlag
Published in
Neural Computing and Applications / Issue 6/2012
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-012-0953-y

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