Title
Model-based hierarchical clustering with Bregman divergences and Fishers mixture model: application to depth image analysis
Abstract
Model-based clustering is a method that clusters data with an assumption of a statistical model structure. In this paper, we propose a novel model-based hierarchical clustering method for a finite statistical mixture model based on the Fisher distribution. The main foci of the proposed method are: (a) provide efficient solution to estimate the parameters of a Fisher mixture model (FMM); (b) generate a hierarchy of FMMs and (c) select the optimal model. To this aim, we develop a Bregman soft clustering method for FMM. Our model estimation strategy exploits Bregman divergence and hierarchical agglomerative clustering. Whereas, our model selection strategy comprises a parsimony-based approach and an evaluation graph-based approach. We empirically validate our proposed method by applying it on simulated data. Next, we apply the method on real data to perform depth image analysis. We demonstrate that the proposed clustering method can be used as a potential tool for unsupervised depth image analysis.
Year
DOI
Venue
2016
10.1007/s11222-015-9576-3
Statistics and Computing
Keywords
Field
DocType
Model-based clustering,Mixture model,Fisher distribution,Model selection,Bregman divergence,Depth image analysis
Hierarchical clustering,Fuzzy clustering,CURE data clustering algorithm,Correlation clustering,Pattern recognition,Consensus clustering,Artificial intelligence,Cluster analysis,Brown clustering,Statistics,Mathematics,Single-linkage clustering
Journal
Volume
Issue
ISSN
26
4
0960-3174
Citations 
PageRank 
References 
1
0.37
32
Authors
3
Name
Order
Citations
PageRank
Md. Abul Hasnat1103.72
Olivier Alata211819.81
alain tremeau323034.42