Title
The Kernel Pitman-Yor Process
Abstract
In this work, we propose the kernel Pitman-Yor process (KPYP) for nonparametric clustering of data with general spatial or temporal interdependencies. The KPYP is constructed by first introducing an infinite sequence of random locations. Then, based on the stick-breaking construction of the Pitman-Yor process, we define a predictor-dependent random probability measure by considering that the discount hyperparameters of the Beta-distributed random weights (stick variables) of the process are not uniform among the weights, but controlled by a kernel function expressing the proximity between the location assigned to each weight and the given predictors.
Year
Venue
Field
2012
CoRR
Mathematical optimization,Kernel embedding of distributions,Probability measure,Point process,Nonparametric statistics,Artificial intelligence,Variable kernel density estimation,Pitman–Yor process,Machine learning,Kernel regression,Mathematics,Kernel (statistics)
DocType
Volume
Citations 
Journal
abs/1210.4184
0
PageRank 
References 
Authors
0.34
17
3
Name
Order
Citations
PageRank
Sotirios P. Chatzis125024.25
Dimitrios Korkinof2283.68
Yiannis Demiris393886.45