Clustering in Hilbert’s Projective Geometry: The Case Studies of the Probability Simplex and the Elliptope of Correlation Matrices-Reference-Cited by-同舟云学术

Clustering in Hilbert’s Projective Geometry: The Case Studies of the Probability Simplex and the Elliptope of Correlation Matrices

Published:2018-11-20 Issue: Volume: Page:297-331
ISSN:1860-4862
Container-title:Geometric Structures of Information
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Author:

Nielsen Frank,Sun Ke

Publisher

Springer International Publishing

Link

http://link.springer.com/content/pdf/10.1007/978-3-030-02520-5_11

Reference78 articles.

1. Agresti, A.: Categorical Data Analysis, vol. 482. Wiley, New Jercy (2003)

2. Aggarwal, C.C., Zhai, C.X.: Mining Text Data. Springer Publishing Company, Berlin (2012)

3. Messing, R., Pal, C., Kautz, H.: Activity recognition using the velocity histories of tracked keypoints. In: International Conference on Computer Vision, pp. 104–111. IEEE (2009)

4. Murphy, K.P.: Machine Learning: A Probabilistic Perspective. The MIT Press, Cambridge (2012)

5. Chaudhuri, K., McGregor, A.: Finding metric structure in information theoretic clustering. In: Conference on Learning Theory (COLT), pp. 391–402 (2008)

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