Entropy-based approach to missing-links prediction

Abstract Link-prediction is an active research field within network theory, aiming at uncovering missing connections or predicting the emergence of future relationships from the observed network structure. This paper represents our contribution to the stream of research concerning missing links pred...

Full description

Bibliographic Details
Main Authors: Federica Parisi, Guido Caldarelli, Tiziano Squartini
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:Applied Network Science
Subjects:
Online Access:http://link.springer.com/article/10.1007/s41109-018-0073-4
_version_ 1818359895849697280
author Federica Parisi
Guido Caldarelli
Tiziano Squartini
author_facet Federica Parisi
Guido Caldarelli
Tiziano Squartini
author_sort Federica Parisi
collection DOAJ
description Abstract Link-prediction is an active research field within network theory, aiming at uncovering missing connections or predicting the emergence of future relationships from the observed network structure. This paper represents our contribution to the stream of research concerning missing links prediction. Here, we propose an entropy-based method to predict a given percentage of missing links, by identifying them with the most probable non-observed ones. The probability coefficients are computed by solving opportunely defined null-models over the accessible network structure. Upon comparing our likelihood-based, local method with the most popular algorithms over a set of economic, financial and food networks, we find ours to perform best, as pointed out by a number of statistical indicators (e.g. the precision, the area under the ROC curve, etc.). Moreover, the entropy-based formalism adopted in the present paper allows us to straightforwardly extend the link-prediction exercise to directed networks as well, thus overcoming one of the main limitations of current algorithms. The higher accuracy achievable by employing these methods - together with their larger flexibility - makes them strong competitors of available link-prediction algorithms.
first_indexed 2024-12-13T20:52:10Z
format Article
id doaj.art-3d565655c4dd475180809385be3d4474
institution Directory Open Access Journal
issn 2364-8228
language English
last_indexed 2024-12-13T20:52:10Z
publishDate 2018-07-01
publisher SpringerOpen
record_format Article
series Applied Network Science
spelling doaj.art-3d565655c4dd475180809385be3d44742022-12-21T23:31:51ZengSpringerOpenApplied Network Science2364-82282018-07-013111510.1007/s41109-018-0073-4Entropy-based approach to missing-links predictionFederica Parisi0Guido Caldarelli1Tiziano Squartini2IMT School for Advanced Studies LuccaIMT School for Advanced Studies LuccaIMT School for Advanced Studies LuccaAbstract Link-prediction is an active research field within network theory, aiming at uncovering missing connections or predicting the emergence of future relationships from the observed network structure. This paper represents our contribution to the stream of research concerning missing links prediction. Here, we propose an entropy-based method to predict a given percentage of missing links, by identifying them with the most probable non-observed ones. The probability coefficients are computed by solving opportunely defined null-models over the accessible network structure. Upon comparing our likelihood-based, local method with the most popular algorithms over a set of economic, financial and food networks, we find ours to perform best, as pointed out by a number of statistical indicators (e.g. the precision, the area under the ROC curve, etc.). Moreover, the entropy-based formalism adopted in the present paper allows us to straightforwardly extend the link-prediction exercise to directed networks as well, thus overcoming one of the main limitations of current algorithms. The higher accuracy achievable by employing these methods - together with their larger flexibility - makes them strong competitors of available link-prediction algorithms.http://link.springer.com/article/10.1007/s41109-018-0073-489.75.Hc; 89.65.Gh; 02.50.Tt
spellingShingle Federica Parisi
Guido Caldarelli
Tiziano Squartini
Entropy-based approach to missing-links prediction
Applied Network Science
89.75.Hc; 89.65.Gh; 02.50.Tt
title Entropy-based approach to missing-links prediction
title_full Entropy-based approach to missing-links prediction
title_fullStr Entropy-based approach to missing-links prediction
title_full_unstemmed Entropy-based approach to missing-links prediction
title_short Entropy-based approach to missing-links prediction
title_sort entropy based approach to missing links prediction
topic 89.75.Hc; 89.65.Gh; 02.50.Tt
url http://link.springer.com/article/10.1007/s41109-018-0073-4
work_keys_str_mv AT federicaparisi entropybasedapproachtomissinglinksprediction
AT guidocaldarelli entropybasedapproachtomissinglinksprediction
AT tizianosquartini entropybasedapproachtomissinglinksprediction