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A Gaussian Process Model for Data Association and a Semidefinite Programming Solution

delete2014-11-01
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M
Miguel Lázaro-Gredilla *
S
Steven Van Vaerenbergh
DOI:10.1109/TNNLS.2014.2300701delete
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摘要

摘要

En 中文
In this paper, we propose a Bayesian model for the data association problem, in which trajectory smoothness is enforced through the use of Gaussian process priors. This model allows to score candidate associations using the evidence framework, thus casting the data association problem into an optimization problem. Under some additional mild assumptions, this optimization problem is shown to be equivalent to a constrained Max K-section problem. Furthermore, for K = 2, a MaxCut formulation is obtained, to which an approximate solution can be efficiently found using an SDP relaxation. Solving this MaxCut problem is equivalent to finding the optimal association out of the combinatorially many possibilities. The obtained clustering depends only on two hyperparameters, which can also be selected by maximum evidence.
Keyword:
Clustering
data association
Gaussian processes (GPs)
multitarget tracking
semidefinite programming
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期刊

IEEE Transactions on Neural Networks and Learning Systems 封面图
IEEE Transactions on Neural Networks and Learning Systems
IF:
8.9
论文数:
7.5K
被引数:
7.2W

机构

U
Universidad de Cantabria
学者数:
6.9K
论文数: 6.1K
被引数: 7.0K
U
Universidad Carlos III de Madrid
学者数:
5.5K
论文数: 5.7K
被引数: 4.5K
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