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Spectral grouping using the nystrom method
Open accessAbstract
Spectral graph theoretic methods have recently shown great promise for the problem of image segmentation. However, due to the computational demands of these approaches, applications to large problems such as spatiotemporal data and high resolution imagery have been slow to appear. The contribution of this paper is a method that substantially reduces the computational requirements of grouping algorithms based on spectral partitioning making it feasible to apply them to very large grouping problems. Our approach is based on a technique for the numerical solution of eigenfunction problems known as the Nyström method. This method allows one to extrapolate the complete grouping solution using only a small number of samples. In doing so, we leverage the fact that there are far fewer coherent groups in a scene than pixels.
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Cites
Neural Networks for Pattern Recognition
Bishop, C. M. (1995) · doi:10.1093/oso/9780198538493.001.0001 · Cited by 12,287
Cited by
Zhang, J., Marszałek, M., Lazebnik, S., & Schmid, C. (2007) · International Journal of Computer Vision · doi:10.1007/s11263-006-9794-4 · Cited by 1,923
Set Transformer: A Framework for Attention-based Permutation-Invariant Neural Networks
Lee, J., Lee, Y., Kim, J., Kosiorek, A. R., Choi, S., & Teh, Y. W. (2018) · arXiv · doi:10.48550/arxiv.1810.00825 · Cited by 691
Lin, T., & Zha, H. (2008) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2007.70735 · Cited by 446
Berg, T. L., Berg, A. C., Edwards, J., Maire, M., White, R., Teh, Y.-W., Learned-Miller, E., & Forsyth, D. A. (2004) · Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2004. CVPR 2004. · doi:10.1109/cvpr.2004.1315253 · Cited by 339
Data Fusion and Multicue Data Matching by Diffusion Maps
Lafon, S., Keller, Y., & Coifman, R. R. (2006) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2006.223 · Cited by 312
Metadata
- Authors
- Fowlkes, C., Belongie, S., Chung, F., & Malik, J.
- Venue
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- Published
- 2004-02
- Volume
- 26
- Issue
- 2
- Pages
- 214-225
- ISSN
- 0162-8828 (ISSN-L)
- OpenAlex
- W2116810533
- Cited by
- 1,328
- References
- 1
- FWCI
- 35.66
- Type
- journal article
- Language
- en
- Open access
- green
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- Fowlkes, C., Belongie, S., Chung, F., & Malik, J. (2004). Spectral grouping using the nystrom method. IEEE Transactions on Pattern Analysis and Machine Intelligence. https://doi.org/10.1109/tpami.2004.1262185
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