Some Information Geometric Aspects of Cyber Security by Face Recognition

Secure user access to devices and datasets is widely enabled by fingerprint or face recognition. Organization of the necessarily large secure digital object datasets, with objects having content that may consist of images, text, video or audio, involves efficient classification and feature retrieval...

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Main Authors: C. T. J. Dodson, John Soldera, Jacob Scharcanski
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/23/7/878
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author C. T. J. Dodson
John Soldera
Jacob Scharcanski
author_facet C. T. J. Dodson
John Soldera
Jacob Scharcanski
author_sort C. T. J. Dodson
collection DOAJ
description Secure user access to devices and datasets is widely enabled by fingerprint or face recognition. Organization of the necessarily large secure digital object datasets, with objects having content that may consist of images, text, video or audio, involves efficient classification and feature retrieval processing. This usually will require multidimensional methods applicable to data that is represented through a family of probability distributions. Then information geometry is an appropriate context in which to provide for such analytic work, whether with maximum likelihood fitted distributions or empirical frequency distributions. The important provision is of a natural geometric measure structure on families of probability distributions by representing them as Riemannian manifolds. Then the distributions are points lying in this geometrical manifold, different features can be identified and dissimilarities computed, so that neighbourhoods of objects nearby a given example object can be constructed. This can reveal clustering and projections onto smaller eigen-subspaces which can make comparisons easier to interpret. Geodesic distances can be used as a natural dissimilarity metric applied over data described by probability distributions. Exploring this property, we propose a new face recognition method which scores dissimilarities between face images by multiplying geodesic distance approximations between 3-variate RGB Gaussians representative of colour face images, and also obtaining joint probabilities. The experimental results show that this new method is more successful in recognition rates than published comparative state-of-the-art methods.
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spelling doaj.art-b8ec4a6aa3b4474a8c9739ca15a773922023-11-22T03:45:12ZengMDPI AGEntropy1099-43002021-07-0123787810.3390/e23070878Some Information Geometric Aspects of Cyber Security by Face RecognitionC. T. J. Dodson0John Soldera1Jacob Scharcanski2School of Mathematics, University of Manchester, Manchester M13 9PL, UKFederal Institute of Education, Science and Technology Farroupilha, Santo Ângelo 98806-700, BrazilInstitute of Informatics, Federal University of Rio Grande do Sul, Porto Alegre 91501-970, BrazilSecure user access to devices and datasets is widely enabled by fingerprint or face recognition. Organization of the necessarily large secure digital object datasets, with objects having content that may consist of images, text, video or audio, involves efficient classification and feature retrieval processing. This usually will require multidimensional methods applicable to data that is represented through a family of probability distributions. Then information geometry is an appropriate context in which to provide for such analytic work, whether with maximum likelihood fitted distributions or empirical frequency distributions. The important provision is of a natural geometric measure structure on families of probability distributions by representing them as Riemannian manifolds. Then the distributions are points lying in this geometrical manifold, different features can be identified and dissimilarities computed, so that neighbourhoods of objects nearby a given example object can be constructed. This can reveal clustering and projections onto smaller eigen-subspaces which can make comparisons easier to interpret. Geodesic distances can be used as a natural dissimilarity metric applied over data described by probability distributions. Exploring this property, we propose a new face recognition method which scores dissimilarities between face images by multiplying geodesic distance approximations between 3-variate RGB Gaussians representative of colour face images, and also obtaining joint probabilities. The experimental results show that this new method is more successful in recognition rates than published comparative state-of-the-art methods.https://www.mdpi.com/1099-4300/23/7/878entropyinformation geometrycyber securityclassificationfeature recognitionretrieval
spellingShingle C. T. J. Dodson
John Soldera
Jacob Scharcanski
Some Information Geometric Aspects of Cyber Security by Face Recognition
Entropy
entropy
information geometry
cyber security
classification
feature recognition
retrieval
title Some Information Geometric Aspects of Cyber Security by Face Recognition
title_full Some Information Geometric Aspects of Cyber Security by Face Recognition
title_fullStr Some Information Geometric Aspects of Cyber Security by Face Recognition
title_full_unstemmed Some Information Geometric Aspects of Cyber Security by Face Recognition
title_short Some Information Geometric Aspects of Cyber Security by Face Recognition
title_sort some information geometric aspects of cyber security by face recognition
topic entropy
information geometry
cyber security
classification
feature recognition
retrieval
url https://www.mdpi.com/1099-4300/23/7/878
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