Have a personal or library account? Click to login
Multiple Manifolds Clustering via Local Linear Analysis Cover

Multiple Manifolds Clustering via Local Linear Analysis

By: Wei Zheng and  Shuo Chen  
Open Access
|Jan 2017

References

  1. 1. Duda, R. O., P. E. Hart, D. G. Stork. Pattern Classification. 2nd ed. New York, Wiley, 2000.
  2. 2. Vida, R. Subspace Clustering. – IEEE Signal Processing Magazine, Vol. 28, 2011, No 2, pp. 52-68.10.1109/MSP.2010.939739
  3. 3. Shi, J., J. Malik. Normalized Cuts and Image Segmentation. – IEEE Transactions Pattern Analysis Machine Intelligence, Vol. 22, 2000, No 2, pp. 888-905.10.1109/34.868688
  4. 4. Liu, G., et al. Robust Recovery of Subspace Structures by Low-Rank Representation. – IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 68, 2013, No 1, pp. 171-184.10.1109/TPAMI.2012.8822487984
  5. 5. Elhamifar, E., R. Vidal. Sparse Subspace Clustering: Algorithm, Theory, and Applications. – IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 35, 2013, No 11, pp. 2765-2781.10.1109/TPAMI.2013.5724051734
  6. 6. Wang, Y., et al. Spectral Clustering on Multiple Manifolds. – IEEE Transactions on Neural Networks, Vol. 22, 2011, No 7, pp. 1149-1161.10.1109/TNN.2011.214779821690009
  7. 7. Cheng, B., et al. Multi-Task Low Rank Affinity Pursuit for Image Segmentation. – In: International Conference on Computer Vision, IEEE, 2011, pp. 2439-2446.10.1109/ICCV.2011.6126528
  8. 8. Lang, C., et al. Saliency Detection by Multi Task Sparsity Pursuit. – IEEE Transactions on Image Processing, Vol. 21, 2012, No 3, pp. 1327-1338.10.1109/TIP.2011.216927421947527
  9. 9. Bertsekas, D. P. Nonlinear Programming. Belmont, Athena Scientific, 1999.
  10. 10. Roweis, S. T., L. K. Saul. Nonlinear Dimensionality Reduction by Locally Linear Embedding. – Science, Vol. 290, 2000, No 5500, pp. 2323-2326.10.1126/science.290.5500.232311125150
  11. 11. Hartigan, J. A., M. A. Wong. A k-Means Clustering Algorithm. – Journal of the Royal Statistical Society, Series C (Applied Statistics), Vol. 28, 1979, No 1, pp. 100-108.10.2307/2346830
  12. 12. Ng, A., M. Jordan, Y. Weiss. On Spectral Clustering: Analysis and an Algorithm. – Advances in Neural Information Processing Systems, Vol. 2, 2002, pp. 849-856.
  13. 13. Bishop, C. M. Pattern Recognition. Springer, 2006.
  14. 14. Goldberg, A. B., et al. Multi-Manifold Semi-Supervised Learning. – AISTATS, 2009, pp. 169-176.
  15. 15. Zhang, K., J. T. Kwok. Clustered Nyström Method for Large Scale Manifold Learning and Dimension Reduction. – IEEE Transactions on Neural Networks, Vol. 21, 2010, No 10, pp. 1576-1587.10.1109/TNN.2010.206478620805054
  16. 16. Haro, G., G. Randall, G. Sapiro. Translated Poisson Mixture Model for Stratification Learning. – International Journal of Computer Vision, Vol. 80, 2008, No 3, pp. 358-374.10.1007/s11263-008-0144-6
  17. 17. Zhang, Z, H. Zha. Principal Manifolds and Nonlinear Dimension Reduction via Local Tangent Space Alignment. Department of Computer Science and Engineering, Pennsylvania State University, Tech. Rep. CSE-02-019, 2002.
  18. 18. Chen, G., G. Lerman. Spectral Curvature Clustering (SCC). – International Journal of Computer Vision, Vol. 81, 2009, No 3, pp. 317-330.10.1007/s11263-008-0178-9
  19. 19. Wang, Y., et al. Multi-Manifold Clustering. – In: Pacific Rim International Conference on Artificial Intelligence, Springer Berlin Heidelberg, 2010, pp. 280-291.10.1007/978-3-642-15246-7_27
  20. 20. Vidal, R., Y. Ma, S. Sastry. Generalized Principal Component Analysis (GPCA). – IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 27, 2005, No 12, pp. 1945-1959.10.1109/TPAMI.2005.24416355661
  21. 21. Cappelli, R., D. Maltoni. Multispace KL for Pattern Representation and Classification. – IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 23, 2001, No 9, pp. 977-996.10.1109/34.955111
DOI: https://doi.org/10.1515/cait-2016-0088 | Journal eISSN: 1314-4081 | Journal ISSN: 1311-9702
Language: English
Page range: 194 - 206
Published on: Jan 25, 2017
Published by: Bulgarian Academy of Sciences, Institute of Information and Communication Technologies
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2017 Wei Zheng, Shuo Chen, published by Bulgarian Academy of Sciences, Institute of Information and Communication Technologies
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.