Title
Model based probabilistic piecewise curve approximation
Abstract
In this work, we approach the piecewise curve approximation problem with a model-based probabilistic framework. For this purpose, we propose three different models. These models can be used for feature extraction or compression. The first model is a variant of the Bayesian regression model where we can parametrically alter the design matrix. The second model approaches the piecewise curve approximation as a clustering problem. The third model adds temporal connectivity to the second model and combines Hidden Markov models with linear regression. We run the first and the third models on a curve which is used to rank existing algorithms and show that our approaches outperforms its rivals. We also run our models on several real-life curves to show their capabilities.
Year
Venue
Keywords
2012
Signal Processing Conference
Bayes methods,approximation theory,curve fitting,data compression,feature extraction,hidden Markov models,matrix algebra,pattern clustering,regression analysis,Bayesian regression model,clustering problem,design matrix,feature compression,feature extraction,hidden Markov model,linear regression,model-based probabilistic framework,piecewise curve approximation,temporal connectivity,Bayesian modeling,Curve segment clustering,Hidden Markov Models,Piecewise curve approximation
Field
DocType
ISSN
Curve fitting,Pattern recognition,Bayesian linear regression,Algorithm,Approximation theory,Design matrix,Artificial intelligence,Probabilistic logic,Cluster analysis,Hidden Markov model,Piecewise,Mathematics
Conference
2219-5491
ISBN
Citations 
PageRank 
978-1-4673-1068-0
0
0.34
References 
Authors
5
2
Name
Order
Citations
PageRank
Y. Cem Siibakan100.34
Biilent Sankur200.34