A Cognitive Neural Architecture Able to Learn and Communicate through Natural Language

B. Golosio; A. Cangelosi; O. Gamotina; G.L. Masala

doi:10.1371/journal.pone.0140866

A Cognitive Neural Architecture Able to Learn and Communicate through Natural Language

B. Golosio, A. Cangelosi, O. Gamotina, G.L. Masala

Machine Learning and Robotics

Research output: Contribution to journal › Article › peer-review

Abstract

Inverse Problems
PAPER • THE FOLLOWING ARTICLE ISOPEN ACCESS
Three dimensional Compton scattering tomography
James W Webber1 and William R B Lionheart2

Published 5 June 2018 • © 2018 IOP Publishing Ltd
Inverse Problems, Volume 34, Number 8
Special issue on 100 years of the Radon transform
Citation James W Webber and William R B Lionheart 2018 Inverse Problems 34 084001
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[email protected]

Author affiliations
1 Tufts University, Halligan Hall, 126 College Ave, Medford, MA 02155, United States of America

2 The University of Manchester, Alan Turing Building, Oxford Road, Manchester M13 9PL, United Kingdom

ORCID iDs
James W Webber https://orcid.org/0000-0002-6774-2119

Dates
Received 11 December 2016
Accepted 16 May 2018
Published 5 June 2018
Check for updates using Crossmark

Peer review information
Method: Single-blind
Revisions: 3
Screened for originality? No

DOI
https://doi.org/10.1088/1361-6420/aac51e

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Abstract
We propose a new acquisition geometry for electron density reconstruction in three dimensional x-ray Compton imaging using a monochromatic source. This leads us to a new three dimensional inverse problem where we aim to reconstruct a real valued function f (the electron density) from its integrals over spindle tori. We prove injectivity of a generalized spindle torus transform on the set of smooth functions compactly supported on a hollow ball. This is obtained through the explicit inversion of a class of Volterra integral operators, whose solutions give us an expression for the harmonic coefficients of f. The polychromatic source case is later considered, and we prove injectivity of a new spindle interior transform, apple transform and apple interior transform on the set of smooth functions compactly supported on a hollow ball.

A possible physical model is suggested for both source types. We also provide simulated density reconstructions with varying levels of added pseudo random noise and model the systematic error due to the attenuation of the incoming and scattered rays in our simulation.

Original language	English
Article number	084001
Journal	PLoS ONE
Volume	10
Issue number	11
DOIs	https://doi.org/10.1371/journal.pone.0140866
Publication status	Published - 11 Nov 2015

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10.1371/journal.pone.0140866Licence: CC BY

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@article{19e5e4f0b5fe4384a774348936898f3d,

title = "A Cognitive Neural Architecture Able to Learn and Communicate through Natural Language",

abstract = "Inverse Problems PAPER • THE FOLLOWING ARTICLE ISOPEN ACCESS Three dimensional Compton scattering tomography James W Webber1 and William R B Lionheart2 Published 5 June 2018 • {\textcopyright} 2018 IOP Publishing Ltd Inverse Problems, Volume 34, Number 8 Special issue on 100 years of the Radon transform Citation James W Webber and William R B Lionheart 2018 Inverse Problems 34 084001 DownloadArticle PDF Figures References Download PDF 1444 Total downloads 88 total citations on Dimensions.Article has an altmetric score of 2 Turn on MathJax Share this article Share this content via email Share on Facebook Share on Twitter Share on Google+ Share on Mendeley Hide article information Author e-mails [email protected] Author affiliations 1 Tufts University, Halligan Hall, 126 College Ave, Medford, MA 02155, United States of America 2 The University of Manchester, Alan Turing Building, Oxford Road, Manchester M13 9PL, United Kingdom ORCID iDs James W Webber https://orcid.org/0000-0002-6774-2119 Dates Received 11 December 2016 Accepted 16 May 2018 Published 5 June 2018 Check for updates using Crossmark Peer review information Method: Single-blind Revisions: 3 Screened for originality? No DOI https://doi.org/10.1088/1361-6420/aac51e Buy this article in print Journal RSS Sign up for new issue notifications Create citation alert Abstract We propose a new acquisition geometry for electron density reconstruction in three dimensional x-ray Compton imaging using a monochromatic source. This leads us to a new three dimensional inverse problem where we aim to reconstruct a real valued function f (the electron density) from its integrals over spindle tori. We prove injectivity of a generalized spindle torus transform on the set of smooth functions compactly supported on a hollow ball. This is obtained through the explicit inversion of a class of Volterra integral operators, whose solutions give us an expression for the harmonic coefficients of f. The polychromatic source case is later considered, and we prove injectivity of a new spindle interior transform, apple transform and apple interior transform on the set of smooth functions compactly supported on a hollow ball. A possible physical model is suggested for both source types. We also provide simulated density reconstructions with varying levels of added pseudo random noise and model the systematic error due to the attenuation of the incoming and scattered rays in our simulation.",

author = "B. Golosio and A. Cangelosi and O. Gamotina and G.L. Masala",

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T1 - A Cognitive Neural Architecture Able to Learn and Communicate through Natural Language

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AU - Cangelosi, A.

AU - Gamotina, O.

AU - Masala, G.L.

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N2 - Inverse Problems PAPER • THE FOLLOWING ARTICLE ISOPEN ACCESS Three dimensional Compton scattering tomography James W Webber1 and William R B Lionheart2 Published 5 June 2018 • © 2018 IOP Publishing Ltd Inverse Problems, Volume 34, Number 8 Special issue on 100 years of the Radon transform Citation James W Webber and William R B Lionheart 2018 Inverse Problems 34 084001 DownloadArticle PDF Figures References Download PDF 1444 Total downloads 88 total citations on Dimensions.Article has an altmetric score of 2 Turn on MathJax Share this article Share this content via email Share on Facebook Share on Twitter Share on Google+ Share on Mendeley Hide article information Author e-mails [email protected] Author affiliations 1 Tufts University, Halligan Hall, 126 College Ave, Medford, MA 02155, United States of America 2 The University of Manchester, Alan Turing Building, Oxford Road, Manchester M13 9PL, United Kingdom ORCID iDs James W Webber https://orcid.org/0000-0002-6774-2119 Dates Received 11 December 2016 Accepted 16 May 2018 Published 5 June 2018 Check for updates using Crossmark Peer review information Method: Single-blind Revisions: 3 Screened for originality? No DOI https://doi.org/10.1088/1361-6420/aac51e Buy this article in print Journal RSS Sign up for new issue notifications Create citation alert Abstract We propose a new acquisition geometry for electron density reconstruction in three dimensional x-ray Compton imaging using a monochromatic source. This leads us to a new three dimensional inverse problem where we aim to reconstruct a real valued function f (the electron density) from its integrals over spindle tori. We prove injectivity of a generalized spindle torus transform on the set of smooth functions compactly supported on a hollow ball. This is obtained through the explicit inversion of a class of Volterra integral operators, whose solutions give us an expression for the harmonic coefficients of f. The polychromatic source case is later considered, and we prove injectivity of a new spindle interior transform, apple transform and apple interior transform on the set of smooth functions compactly supported on a hollow ball. A possible physical model is suggested for both source types. We also provide simulated density reconstructions with varying levels of added pseudo random noise and model the systematic error due to the attenuation of the incoming and scattered rays in our simulation.

AB - Inverse Problems PAPER • THE FOLLOWING ARTICLE ISOPEN ACCESS Three dimensional Compton scattering tomography James W Webber1 and William R B Lionheart2 Published 5 June 2018 • © 2018 IOP Publishing Ltd Inverse Problems, Volume 34, Number 8 Special issue on 100 years of the Radon transform Citation James W Webber and William R B Lionheart 2018 Inverse Problems 34 084001 DownloadArticle PDF Figures References Download PDF 1444 Total downloads 88 total citations on Dimensions.Article has an altmetric score of 2 Turn on MathJax Share this article Share this content via email Share on Facebook Share on Twitter Share on Google+ Share on Mendeley Hide article information Author e-mails [email protected] Author affiliations 1 Tufts University, Halligan Hall, 126 College Ave, Medford, MA 02155, United States of America 2 The University of Manchester, Alan Turing Building, Oxford Road, Manchester M13 9PL, United Kingdom ORCID iDs James W Webber https://orcid.org/0000-0002-6774-2119 Dates Received 11 December 2016 Accepted 16 May 2018 Published 5 June 2018 Check for updates using Crossmark Peer review information Method: Single-blind Revisions: 3 Screened for originality? No DOI https://doi.org/10.1088/1361-6420/aac51e Buy this article in print Journal RSS Sign up for new issue notifications Create citation alert Abstract We propose a new acquisition geometry for electron density reconstruction in three dimensional x-ray Compton imaging using a monochromatic source. This leads us to a new three dimensional inverse problem where we aim to reconstruct a real valued function f (the electron density) from its integrals over spindle tori. We prove injectivity of a generalized spindle torus transform on the set of smooth functions compactly supported on a hollow ball. This is obtained through the explicit inversion of a class of Volterra integral operators, whose solutions give us an expression for the harmonic coefficients of f. The polychromatic source case is later considered, and we prove injectivity of a new spindle interior transform, apple transform and apple interior transform on the set of smooth functions compactly supported on a hollow ball. A possible physical model is suggested for both source types. We also provide simulated density reconstructions with varying levels of added pseudo random noise and model the systematic error due to the attenuation of the incoming and scattered rays in our simulation.

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U2 - 10.1371/journal.pone.0140866

DO - 10.1371/journal.pone.0140866

M3 - Article

SN - 1932-6203

VL - 10

JO - PLoS ONE

JF - PLoS ONE

IS - 11

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A Cognitive Neural Architecture Able to Learn and Communicate through Natural Language

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