Clustering on Grassmann manifolds via kernel embedding with application to action analysis

Shirazi, Sareh, Harandi, Mehrtash T., Sanderson, Conrad, Alavi, Azadeh and Lovell, Brian C. (2012). Clustering on Grassmann manifolds via kernel embedding with application to action analysis. In: 2012 IEEE International Conference on Image Processing: ICIP 2012: Proceedings. 2012 19th IEEE International Conference on Image Processing (ICIP), Orlando, United States, (781-784). 30 September - 3 October 2012. doi:10.1109/ICIP.2012.6466976

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Author Shirazi, Sareh
Harandi, Mehrtash T.
Sanderson, Conrad
Alavi, Azadeh
Lovell, Brian C.
Title of paper Clustering on Grassmann manifolds via kernel embedding with application to action analysis
Conference name 2012 19th IEEE International Conference on Image Processing (ICIP)
Conference location Orlando, United States
Conference dates 30 September - 3 October 2012
Proceedings title 2012 IEEE International Conference on Image Processing: ICIP 2012: Proceedings   Check publisher's open access policy
Journal name International Conference on Image Processing. Proceedings   Check publisher's open access policy
Place of Publication Piscataway, NJ, United States
Publisher IEEE
Publication Year 2012
Sub-type Fully published paper
DOI 10.1109/ICIP.2012.6466976
ISBN 9781467325332
ISSN 1522-4880
Start page 781
End page 784
Total pages 4
Collection year 2013
Language eng
Abstract/Summary With the aim of improving the clustering of data (such as image sequences) lying on Grassmann manifolds, we propose to embed the manifolds into Reproducing Kernel Hilbert Spaces. To this end, we define a measure of cluster istortion and embed the manifolds such that the distortion is minimised. We show that the optimal solution is a generalised eigenvalue problem that can be solved very efficiently. Experiments on several clustering tasks (including human action clustering) show that in comparison to the recent intrinsic Grassmann k-means algorithm, the proposed approach obtains notable improvements in clustering accuracy, while also being several orders of magnitude faster.
Keyword Grassmann manifolds
Kernels
Clustering
Reproducing Kernel Hilbert Spaces
Action analysis
Q-Index Code E1
Q-Index Status Confirmed Code
Institutional Status UQ

 
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Created: Thu, 18 Apr 2013, 11:13:12 EST by Ms Deborah Brian on behalf of School of Information Technol and Elec Engineering