Discovering and Characterizing Hidden Variables Using a Novel Neural Network Architecture: LO-Net

Theoretical entities are aspects of the world that cannot be sensed directly but that, nevertheless, are causally relevant. Scientific inquiry has uncovered many such entities, such as black holes and dark matter. We claim that theoretical entities, or hidden variables, are important for the develop...

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Main Authors: Soumi Ray, Tim Oates
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Journal of Robotics
Online Access:http://dx.doi.org/10.1155/2011/193146
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author Soumi Ray
Tim Oates
author_facet Soumi Ray
Tim Oates
author_sort Soumi Ray
collection DOAJ
description Theoretical entities are aspects of the world that cannot be sensed directly but that, nevertheless, are causally relevant. Scientific inquiry has uncovered many such entities, such as black holes and dark matter. We claim that theoretical entities, or hidden variables, are important for the development of concepts within the lifetime of an individual and present a novel neural network architecture that solves three problems related to theoretical entities: (1) discovering that they exist, (2) determining their number, and (3) computing their values. Experiments show the utility of the proposed approach using discrete time dynamical systems, in which some of the state variables are hidden, and sensor data obtained from the camera of a mobile robot, in which the sizes and locations of objects in the visual field are observed but their sizes and locations (distances) in the three-dimensional world are not. Two different regularization terms are explored that improve the network's ability to approximate the values of hidden variables, and the performance and capabilities of the network are compared to that of Hidden Markov Models.
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institution Kabale University
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language English
publishDate 2011-01-01
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series Journal of Robotics
spelling doaj-art-218438c8eb4441799eadce05f6c5e8f62025-02-03T01:26:03ZengWileyJournal of Robotics1687-96001687-96192011-01-01201110.1155/2011/193146193146Discovering and Characterizing Hidden Variables Using a Novel Neural Network Architecture: LO-NetSoumi Ray0Tim Oates1Department of Computer Science and Electrical Engineering, University of Maryland, Baltimore County, 1000 Hilltop Circle, Baltimore, MD 21250, USADepartment of Computer Science and Electrical Engineering, University of Maryland, Baltimore County, 1000 Hilltop Circle, Baltimore, MD 21250, USATheoretical entities are aspects of the world that cannot be sensed directly but that, nevertheless, are causally relevant. Scientific inquiry has uncovered many such entities, such as black holes and dark matter. We claim that theoretical entities, or hidden variables, are important for the development of concepts within the lifetime of an individual and present a novel neural network architecture that solves three problems related to theoretical entities: (1) discovering that they exist, (2) determining their number, and (3) computing their values. Experiments show the utility of the proposed approach using discrete time dynamical systems, in which some of the state variables are hidden, and sensor data obtained from the camera of a mobile robot, in which the sizes and locations of objects in the visual field are observed but their sizes and locations (distances) in the three-dimensional world are not. Two different regularization terms are explored that improve the network's ability to approximate the values of hidden variables, and the performance and capabilities of the network are compared to that of Hidden Markov Models.http://dx.doi.org/10.1155/2011/193146
spellingShingle Soumi Ray
Tim Oates
Discovering and Characterizing Hidden Variables Using a Novel Neural Network Architecture: LO-Net
Journal of Robotics
title Discovering and Characterizing Hidden Variables Using a Novel Neural Network Architecture: LO-Net
title_full Discovering and Characterizing Hidden Variables Using a Novel Neural Network Architecture: LO-Net
title_fullStr Discovering and Characterizing Hidden Variables Using a Novel Neural Network Architecture: LO-Net
title_full_unstemmed Discovering and Characterizing Hidden Variables Using a Novel Neural Network Architecture: LO-Net
title_short Discovering and Characterizing Hidden Variables Using a Novel Neural Network Architecture: LO-Net
title_sort discovering and characterizing hidden variables using a novel neural network architecture lo net
url http://dx.doi.org/10.1155/2011/193146
work_keys_str_mv AT soumiray discoveringandcharacterizinghiddenvariablesusinganovelneuralnetworkarchitecturelonet
AT timoates discoveringandcharacterizinghiddenvariablesusinganovelneuralnetworkarchitecturelonet