Title
High-SNR model order selection using exponentially embedded family and its applications to curve fitting and clustering
Abstract
The exponentially embedded family (EEF) of probability density functions was originally proposed in [1] for model order selection. The performance of the original EEF deteriorates somewhat when nuisance parameters are present, especially in the case of high signal-to-noise ratio (SNR). Therefore, we propose a new EEF for model order selection in the case of high SNR. It is shown that without nuisance parameters, the new EEF is the same as the original EEF. However, with nuisance parameters, the new EEF takes a different form. The new EEF is applied to problems of polynomial curve fitting and clustering. Simulation results show that, with nuisance parameters, the new EEF outperforms the original EEF and Bayesian information criterion (BIC) at high SNR.
Year
DOI
Venue
2014
10.1109/CIDM.2014.7008708
CIDM
Keywords
Field
DocType
eef,pattern clustering,high snr,model order selection,polynomial curve fitting,exponentially embedded family (eef),high-snr model order selection,exponentially embedded family,nuisance parameters,curve fitting,sufficient statistic,maximum likelihood estimate (mle),probability density functions,polynomials,signal-to-noise ratio,probability,clustering,vectors,signal to noise ratio,maximum likelihood estimation
Bayesian information criterion,Polynomial,Curve fitting,Artificial intelligence,Cluster analysis,Exponential growth,Mathematical optimization,Model order selection,Pattern recognition,Signal-to-noise ratio,Algorithm,Probability density function,Mathematics
Conference
Citations 
PageRank 
References 
1
0.36
2
Authors
3
Name
Order
Citations
PageRank
Quan Ding1597.72
S. Kay230940.73
Xiaorong Zhang3549.15