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Bibliographic Details
Main Authors: Chen, Weizhe, Liu, Lantao, Khardon, Roni
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2406.03669
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author Chen, Weizhe
Liu, Lantao
Khardon, Roni
author_facet Chen, Weizhe
Liu, Lantao
Khardon, Roni
contents Gaussian Process (GP) models are widely used for Robotic Information Gathering (RIG) in exploring unknown environments due to their ability to model complex phenomena with non-parametric flexibility and accurately quantify prediction uncertainty. Previous work has developed informative planners and adaptive GP models to enhance the data efficiency of RIG by improving the robot's sampling strategy to focus on informative regions in non-stationary environments. However, computational efficiency becomes a bottleneck when using GP models in large-scale environments with limited computational resources. We propose a framework -- Probabilistic Online Attentive Mapping (POAM) -- that leverages the modeling strengths of the non-stationary Attentive Kernel while achieving constant-time computational complexity for online decision-making. POAM guides the optimization process via variational Expectation Maximization, providing constant-time update rules for inducing inputs, variational parameters, and hyperparameters. Extensive experiments in active bathymetric mapping tasks demonstrate that POAM significantly improves computational efficiency, model accuracy, and uncertainty quantification capability compared to existing online sparse GP models.
format Preprint
id arxiv_https___arxiv_org_abs_2406_03669
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle POAM: Probabilistic Online Attentive Mapping for Efficient Robotic Information Gathering
Chen, Weizhe
Liu, Lantao
Khardon, Roni
Robotics
Gaussian Process (GP) models are widely used for Robotic Information Gathering (RIG) in exploring unknown environments due to their ability to model complex phenomena with non-parametric flexibility and accurately quantify prediction uncertainty. Previous work has developed informative planners and adaptive GP models to enhance the data efficiency of RIG by improving the robot's sampling strategy to focus on informative regions in non-stationary environments. However, computational efficiency becomes a bottleneck when using GP models in large-scale environments with limited computational resources. We propose a framework -- Probabilistic Online Attentive Mapping (POAM) -- that leverages the modeling strengths of the non-stationary Attentive Kernel while achieving constant-time computational complexity for online decision-making. POAM guides the optimization process via variational Expectation Maximization, providing constant-time update rules for inducing inputs, variational parameters, and hyperparameters. Extensive experiments in active bathymetric mapping tasks demonstrate that POAM significantly improves computational efficiency, model accuracy, and uncertainty quantification capability compared to existing online sparse GP models.
title POAM: Probabilistic Online Attentive Mapping for Efficient Robotic Information Gathering
topic Robotics
url https://arxiv.org/abs/2406.03669