{"id":"https://openalex.org/W3204656595","doi":"https://doi.org/10.1109/tsipn.2022.3167333","title":"Permutation Entropy for Graph Signals","display_name":"Permutation Entropy for Graph Signals","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W3204656595","doi":"https://doi.org/10.1109/tsipn.2022.3167333","mag":"3204656595"},"language":"en","primary_location":{"id":"doi:10.1109/tsipn.2022.3167333","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsipn.2022.3167333","pdf_url":"https://ieeexplore.ieee.org/ielx7/6884276/9666472/09756895.pdf","source":{"id":"https://openalex.org/S4306422866","display_name":"IEEE Transactions on Signal and Information Processing over Networks","issn_l":"2373-776X","issn":["2373-776X","2373-7778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal and Information Processing over Networks","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ieeexplore.ieee.org/ielx7/6884276/9666472/09756895.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027877801","display_name":"John Stewart Fabila-Carrasco","orcid":"https://orcid.org/0000-0003-3290-391X"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"John Stewart Fabila-Carrasco","raw_affiliation_strings":["School of Engineering, Institute for Digital Communications, University of Edinburgh, West Mains Rd, Edinburgh, U.K"],"raw_orcid":"https://orcid.org/0000-0003-3290-391X","affiliations":[{"raw_affiliation_string":"School of Engineering, Institute for Digital Communications, University of Edinburgh, West Mains Rd, Edinburgh, U.K","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068911557","display_name":"Chao Tan","orcid":"https://orcid.org/0000-0001-5146-4807"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao Tan","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0001-5146-4807","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060254662","display_name":"Javier Escudero","orcid":"https://orcid.org/0000-0002-2105-8725"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Javier Escudero","raw_affiliation_strings":["School of Engineering, Institute for Digital Communications, University of Edinburgh, West Mains Rd, Edinburgh, U.K"],"raw_orcid":"https://orcid.org/0000-0002-2105-8725","affiliations":[{"raw_affiliation_string":"School of Engineering, Institute for Digital Communications, University of Edinburgh, West Mains Rd, Edinburgh, U.K","institution_ids":["https://openalex.org/I98677209"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0146,"has_fulltext":true,"cited_by_count":27,"citation_normalized_percentile":{"value":0.86899224,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"8","issue":null,"first_page":"288","last_page":"300"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9861999750137329,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.5767538547515869},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5460838675498962},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5394178032875061},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4798309803009033},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4773592948913574},{"id":"https://openalex.org/keywords/adjacency-list","display_name":"Adjacency list","score":0.4323802888393402},{"id":"https://openalex.org/keywords/permutation-graph","display_name":"Permutation graph","score":0.4233935475349426},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.35274749994277954},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3260999917984009},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.31506550312042236}],"concepts":[{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.5767538547515869},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5460838675498962},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5394178032875061},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4798309803009033},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4773592948913574},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.4323802888393402},{"id":"https://openalex.org/C68965932","wikidata":"https://www.wikidata.org/wiki/Q7169369","display_name":"Permutation graph","level":3,"score":0.4233935475349426},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.35274749994277954},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3260999917984009},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31506550312042236},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tsipn.2022.3167333","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsipn.2022.3167333","pdf_url":"https://ieeexplore.ieee.org/ielx7/6884276/9666472/09756895.pdf","source":{"id":"https://openalex.org/S4306422866","display_name":"IEEE Transactions on Signal and Information Processing over Networks","issn_l":"2373-776X","issn":["2373-776X","2373-7778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal and Information Processing over Networks","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2110.00628","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2110.00628","pdf_url":"https://arxiv.org/pdf/2110.00628","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:pure.ed.ac.uk:publications/175bae8e-31e9-452b-bcfc-7386ef42d97d","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2110.00628","pdf_url":"https://www.research.ed.ac.uk/files/260190387/PermutationEntropy_Review_Final.pdf","source":{"id":"https://openalex.org/S4306400321","display_name":"Edinburgh Research Explorer (University of Edinburgh)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98677209","host_organization_name":"University of Edinburgh","host_organization_lineage":["https://openalex.org/I98677209"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fabila Carrasco, J S, Tan, C & Escudero, J 2022, 'Permutation Entropy for Graph Signals', IEEE Transactions on Signal and Information Processing Over Networks, vol. 8, pp. 288-300. https://doi.org/10.1109/TSIPN.2022.3167333","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.ed.ac.uk:openaire/175bae8e-31e9-452b-bcfc-7386ef42d97d","is_oa":true,"landing_page_url":"https://hdl.handle.net/20.500.11820/175bae8e-31e9-452b-bcfc-7386ef42d97d","pdf_url":null,"source":{"id":"https://openalex.org/S4306400321","display_name":"Edinburgh Research Explorer (University of Edinburgh)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98677209","host_organization_name":"University of Edinburgh","host_organization_lineage":["https://openalex.org/I98677209"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fabila Carrasco, J S, Tan, C & Escudero, J 2022, 'Permutation Entropy for Graph Signals', IEEE Transactions on Signal and Information Processing Over Networks, vol. 8, pp. 288-300. https://doi.org/10.1109/TSIPN.2022.3167333","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.1109/tsipn.2022.3167333","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsipn.2022.3167333","pdf_url":"https://ieeexplore.ieee.org/ielx7/6884276/9666472/09756895.pdf","source":{"id":"https://openalex.org/S4306422866","display_name":"IEEE Transactions on Signal and Information Processing over Networks","issn_l":"2373-776X","issn":["2373-776X","2373-7778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal and Information Processing over Networks","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8211788080","display_name":null,"funder_award_id":"RPG-2020-158","funder_id":"https://openalex.org/F4320319993","funder_display_name":"Leverhulme Trust"}],"funders":[{"id":"https://openalex.org/F4320319993","display_name":"Leverhulme Trust","ror":"https://ror.org/012mzw131"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3204656595.pdf","grobid_xml":"https://content.openalex.org/works/W3204656595.grobid-xml"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W356566955","https://openalex.org/W1420730218","https://openalex.org/W1512161016","https://openalex.org/W1668942716","https://openalex.org/W2014683958","https://openalex.org/W2016423476","https://openalex.org/W2017091714","https://openalex.org/W2018876117","https://openalex.org/W2041390652","https://openalex.org/W2060540122","https://openalex.org/W2069092382","https://openalex.org/W2080132175","https://openalex.org/W2096209718","https://openalex.org/W2101491865","https://openalex.org/W2280719928","https://openalex.org/W2318640187","https://openalex.org/W2322045482","https://openalex.org/W2333775360","https://openalex.org/W2432419794","https://openalex.org/W2482093979","https://openalex.org/W2498166457","https://openalex.org/W2677116626","https://openalex.org/W2761723167","https://openalex.org/W2772339501","https://openalex.org/W2783983474","https://openalex.org/W2792354770","https://openalex.org/W2796431263","https://openalex.org/W2885415588","https://openalex.org/W2886507673","https://openalex.org/W2892287261","https://openalex.org/W2897035928","https://openalex.org/W2912556076","https://openalex.org/W2913157389","https://openalex.org/W2921723074","https://openalex.org/W2936442851","https://openalex.org/W3012392559","https://openalex.org/W3015581137","https://openalex.org/W3092266016","https://openalex.org/W3095738619","https://openalex.org/W3107724517","https://openalex.org/W3130571863","https://openalex.org/W3186281556","https://openalex.org/W3210895592","https://openalex.org/W4205258084","https://openalex.org/W4288058642","https://openalex.org/W4312901008","https://openalex.org/W7065223858"],"related_works":["https://openalex.org/W2353839841","https://openalex.org/W2061646779","https://openalex.org/W3194558310","https://openalex.org/W3164306936","https://openalex.org/W4287178724","https://openalex.org/W2374780422","https://openalex.org/W4280510305","https://openalex.org/W4206495562","https://openalex.org/W3134848558","https://openalex.org/W2102534583"],"abstract_inverted_index":{"Entropy":[0],"metrics":[1,20,49],"(for":[2],"example,":[3],"permutation":[4,83,127,134],"entropy)":[5],"are":[6],"nonlinear":[7,87,163],"measures":[8],"of":[9,17,93,125,161],"irregularity":[10],"in":[11,98],"time":[12,70,100,129],"series":[13,130],"(one-dimensional":[14],"data).":[15],"Some":[16],"these":[18,48],"entropy":[19,72,135],"can":[21,140],"be":[22,141],"generalised":[23],"to":[24,45,74,143,157,166],"data":[25],"on":[26,57,90,106,110],"periodic":[27],"structures":[28],"such":[29],"as":[30],"a":[31,62,85,99],"grid":[32],"or":[33],"lattice":[34],"pattern":[35],"(two-dimensional":[36],"data)":[37],"using":[38,113],"its":[39],"symmetry,":[40],"thus":[41],"enabling":[42],"their":[43],"application":[44],"images.":[46],"However,":[47],"have":[50],"not":[51],"been":[52],"developed":[53],"for":[54,67,128,136],"signals":[55,76],"sampled":[56],"irregular":[58,79],"domains,":[59],"defined":[60],"by":[61,81],"graph.":[63],"Here,":[64],"we":[65],"define":[66],"the":[68,91,114,123,132,154,159],"first":[69],"an":[71],"metric":[73,88],"analyse":[75],"measured":[77],"over":[78],"graphs":[80],"generalising":[82],"entropy,":[84],"well-established":[86],"based":[89,105],"comparison":[92],"neighbouring":[94,111],"values":[95,109],"within":[96],"patterns":[97],"series.":[101],"Our":[102],"algorithm":[103],"is":[104],"comparing":[107],"signal":[108],"nodes,":[112],"adjacency":[115],"matrix.":[116],"We":[117,152],"show":[118],"that":[119],"this":[120],"generalisation":[121],"preserves":[122],"properties":[124],"classical":[126],"and":[131,138,149],"recent":[133],"images,":[137],"it":[139],"applied":[142],"any":[144],"graph":[145,167],"structure":[146],"with":[147],"synthetic":[148],"real":[150],"signals.":[151,168],"expect":[153],"present":[155],"work":[156],"enable":[158],"extension":[160],"other":[162],"dynamic":[164],"approaches":[165]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
