Multiaspect target detection via the infinite hidden Markov model
Author(s) -
Kai Ni,
Yuting Qi,
Lawrence Carin
Publication year - 2007
Publication title -
the journal of the acoustical society of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.619
H-Index - 187
eISSN - 1520-8524
pISSN - 0001-4966
DOI - 10.1121/1.2714912
Subject(s) - hierarchical dirichlet process , hidden markov model , gibbs sampling , dirichlet distribution , inference , stochastic matrix , scattering , statistical physics , computer science , set (abstract data type) , matrix (chemical analysis) , markov process , dirichlet process , pattern recognition (psychology) , markov chain , algorithm , mathematics , physics , artificial intelligence , mathematical analysis , machine learning , statistics , bayesian probability , optics , programming language , materials science , composite material , boundary value problem
A new multiaspect target detection method is presented based on the infinite hidden Markov model (iHMM). The scattering of waves from a target is modeled as an iHMM with the number of underlying states treated as infinite, from which a full posterior distribution on the number of states associated with the targets is inferred and the target-dependent states are learned collectively. A set of Dirichlet processes (DPs) are used to define the rows of the HMM transition matrix and these DPs are linked and shared via a hierarchical Dirichlet process. Learning and inference for the iHMM are based on a Gibbs sampler. The basic framework is applied to a detailed analysis of measured acoustic scattering data.
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