Efficient parametric projection pursuit density estimationEI
Product models of low dimensional experts are a powerful way to avoid the curse of dimensionality. We present the "undercomplete product of experts" (UPoE), where each expert models a one dimensional projection of the data. The UPoE may be interpreted as a parametric probabilistic model for projection pursuit. Its ML learning rules are identical to the approximate learning rules proposed before for under-complete ICA. We also derive an efficient sequential learning algorithm and discuss its relationship to projection pursuit density e...更多
- 1Lay, S.-R.; Jenq-Neng Hwang; Shih-Shien You. Extensions to projection pursuit learning networks with parametric smoothers.Neural Networks, 1994. IEEE World Congress Computational Intelligence., 1994 IEEE International Conference, pp. 1325-1330vol.3, 1994.
- 3Ju Sun Ahn, Heike Hofmann, Dianne Cook. A Projection Pursuit Method on the multidimensional squared Contingency Table.Computational Statistics, pp. 605-626, 2003.
- 6Zhenwei Shi, Changshui Zhang. Letters: Gaussian moments for noisy complexity pursuit.Neurocomputing, pp. 917-921, 2006.
- 7Peter Filzmoser, Sven Serneels, Christophe Croux, Pierre J. Van Espen. Robust Multivariate Methods: The Projection Pursuit Approach.GfKl, pp. 270-277, 2005.
- 8Eun-Kyung Lee, Dianne Cook. A projection pursuit index for large p small n data.Statistics and Computing, pp. 381-392, 2010.
- 9M. Welling, R. S. Zemel, G. E. Hinton. Probabilistic sequential independent components analysis.IEEE Transactions on Neural Networks, pp. 838-849, 2004.
- 11Richard J. Bolton, Wojtek J. Krzanowski. A Characterization of Principal Components for Projection Pursuit.The American Statistician, 2012.
- 12T. Miyoshi, H. Ichihashi, K. Nagasaka. Fuzzy projection pursuit density estimation by eigenvalue method.Int. J. Approx. Reasoning, pp. 237-248, 1999.
- 13ZHANG Lian-peng, LIU Qin-huo, LIU Guo-lin, JIANG Tao. The multi-directional projection pursuit and the feature extraction of hyperspectral remote sensing image.Journal of China Coal Society, pp. 45-48, 2007.
- 14Colin Fyfe, Emilio Corchado. A New Neural Implementation of Exploratory Projection Pursuit.IDEAL, pp. 512-517, 2002.
- 16Wang Shunjiu, Li Yueqing. A Dynamic Cluster Model Based on Projection Pursuit with Its Application to Climate Zoning.Journal of Applied Meteorological Science, pp. 148-152, 2007.
- 17LIN Quan, ZHU Yuan-hai, YE Ji-xiang. Research on projection pursuit classification model based on particle swarm optimization algorithm.Journal of Changsha Communications University, pp. 93-98, 2008.
- 18ZHANG Kun, HONG Wei, WU Cheng-zhen, DING Xin-xin. Application of modified projection pursuit grade evaluation model to evaluation of water-eroded desertification.Journal of Natural Disasters, pp. 102-106, 2010.
CoRR, pp. 575-582, 2012.