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Fully Bayesian Field Slam Using Gaussian Markov Random Fields
Author(s) -
Do Huan N.,
Jadaliha Mahdi,
Temel Mehmet,
Choi Jongeun
Publication year - 2016
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1237
Subject(s) - hyperparameter , artificial intelligence , random field , bayesian probability , computer science , field (mathematics) , gaussian , markov random field , gaussian process , kinematics , hidden markov model , simultaneous localization and mapping , flexibility (engineering) , algorithm , machine learning , computer vision , robot , mathematics , image segmentation , mobile robot , segmentation , statistics , physics , classical mechanics , quantum mechanics , pure mathematics
Abstract This paper presents a fully Bayesian way to solve the simultaneous localization and spatial prediction problem using a Gaussian Markov random field (GMRF) model. The objective is to simultaneously localize robotic sensors and predict a spatial field of interest using sequentially collected noisy observations by robotic sensors. The set of observations consists of the observed noisy positions of robotic sensing vehicles and noisy measurements of a spatial field. To be flexible, the spatial field of interest is modeled by a GMRF with uncertain hyperparameters. We derive an approximate Bayesian solution to the problem of computing the predictive inferences of the GMRF and the localization, taking into account observations, uncertain hyperparameters, measurement noise, kinematics of robotic sensors, and uncertain localization. The effectiveness of the proposed algorithm is illustrated by simulation results as well as by experiment results. The experiment results successfully show the flexibility and adaptability of our fully Bayesian approach in a data‐driven fashion.