{"id":"https://openalex.org/W7163369283","doi":"https://doi.org/10.1016/j.biosystems.2026.105836","title":"Topological Neural Coding: The associative memory representation of graphs, groups and knots","display_name":"Topological Neural Coding: The associative memory representation of graphs, groups and knots","publication_year":2026,"publication_date":"2026-06-03","ids":{"openalex":"https://openalex.org/W7163369283","doi":"https://doi.org/10.1016/j.biosystems.2026.105836","pmid":"https://pubmed.ncbi.nlm.nih.gov/42242494"},"language":"en","primary_location":{"id":"doi:10.1016/j.biosystems.2026.105836","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.biosystems.2026.105836","pdf_url":null,"source":{"id":"https://openalex.org/S99347777","display_name":"Biosystems","issn_l":"0303-2647","issn":["0303-2647","1872-8324"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BioSystems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060081803","display_name":"Andr\u00e9s Pomi","orcid":"https://orcid.org/0000-0001-7138-0440"},"institutions":[{"id":"https://openalex.org/I180910786","display_name":"Universidad de la Rep\u00fablica de Uruguay","ror":"https://ror.org/030bbe882","country_code":"UY","type":"education","lineage":["https://openalex.org/I180910786"]},{"id":"https://openalex.org/I71302355","display_name":"Universidad de Montevideo","ror":"https://ror.org/05w626e73","country_code":"UY","type":"education","lineage":["https://openalex.org/I71302355"]}],"countries":["UY"],"is_corresponding":true,"raw_author_name":"Andr\u00e9s Pomi","raw_affiliation_strings":["Group of Cognitive Systems Modeling, Biophysics and Systems Biology Section, Facultad de Ciencias, Universidad de la Rep\u00fablica, Montevideo, 11400, Uruguay. Electronic address: pomi@fcien.edu.uy"],"raw_orcid":"https://orcid.org/0000-0001-7138-0440","affiliations":[{"raw_affiliation_string":"Group of Cognitive Systems Modeling, Biophysics and Systems Biology Section, Facultad de Ciencias, Universidad de la Rep\u00fablica, Montevideo, 11400, Uruguay. Electronic address: pomi@fcien.edu.uy","institution_ids":["https://openalex.org/I180910786","https://openalex.org/I71302355"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5137792320","display_name":"Santiago A. Bosch-Roascio","orcid":"https://orcid.org/0000-0003-2056-1473"},"institutions":[{"id":"https://openalex.org/I190249584","display_name":"Universit\u00e4t Innsbruck","ror":"https://ror.org/054pv6659","country_code":"AT","type":"education","lineage":["https://openalex.org/I190249584"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Santiago A. Bosch-Roascio","raw_affiliation_strings":["Group of Cognitive Systems Modeling, Biophysics and Systems Biology Section, Facultad de Ciencias, Universidad de la Rep\u00fablica, Montevideo, 11400, Uruguay; Quantitative Biology Research Unit, Department of Zoology, University of Innsbruck, Innsbruck, 6020, Austria. Electronic address: Santiago.Bosch@iubk.ac.at"],"raw_orcid":"https://orcid.org/0000-0003-2056-1473","affiliations":[{"raw_affiliation_string":"Group of Cognitive Systems Modeling, Biophysics and Systems Biology Section, Facultad de Ciencias, Universidad de la Rep\u00fablica, Montevideo, 11400, Uruguay; Quantitative Biology Research Unit, Department of Zoology, University of Innsbruck, Innsbruck, 6020, Austria. Electronic address: Santiago.Bosch@iubk.ac.at","institution_ids":["https://openalex.org/I190249584"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5060081803"],"corresponding_institution_ids":["https://openalex.org/I180910786","https://openalex.org/I71302355"],"apc_list":{"value":2700,"currency":"USD","value_usd":2700},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.72146992,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"266","issue":null,"first_page":"105836","last_page":"105836"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.14790000021457672,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.14790000021457672,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.12790000438690186,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13062","display_name":"Cognitive Computing and Networks","score":0.09459999948740005,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/knot","display_name":"Knot (papermaking)","score":0.6678000092506409},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.6322000026702881},{"id":"https://openalex.org/keywords/content-addressable-memory","display_name":"Content-addressable memory","score":0.5629000067710876},{"id":"https://openalex.org/keywords/knot-theory","display_name":"Knot theory","score":0.5482000112533569},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.5339999794960022},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5080000162124634},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.3993000090122223},{"id":"https://openalex.org/keywords/gauss","display_name":"Gauss","score":0.39640000462532043},{"id":"https://openalex.org/keywords/matrix-representation","display_name":"Matrix representation","score":0.3824999928474426},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.3718999922275543}],"concepts":[{"id":"https://openalex.org/C2779863119","wikidata":"https://www.wikidata.org/wiki/Q6423048","display_name":"Knot (papermaking)","level":2,"score":0.6678000092506409},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.6322000026702881},{"id":"https://openalex.org/C53442348","wikidata":"https://www.wikidata.org/wiki/Q745101","display_name":"Content-addressable memory","level":3,"score":0.5629000067710876},{"id":"https://openalex.org/C143330242","wikidata":"https://www.wikidata.org/wiki/Q849798","display_name":"Knot theory","level":3,"score":0.5482000112533569},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.5339999794960022},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.527400016784668},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5080000162124634},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.3993000090122223},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.39640000462532043},{"id":"https://openalex.org/C103275481","wikidata":"https://www.wikidata.org/wiki/Q6787889","display_name":"Matrix representation","level":3,"score":0.3824999928474426},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.3718999922275543},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3650999963283539},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.36329999566078186},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35269999504089355},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.34529998898506165},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.33640000224113464},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.3334999978542328},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3310999870300293},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.329800009727478},{"id":"https://openalex.org/C136003732","wikidata":"https://www.wikidata.org/wiki/Q3854337","display_name":"Algebraic operation","level":3,"score":0.3253999948501587},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.3181000053882599},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.30469998717308044},{"id":"https://openalex.org/C32900221","wikidata":"https://www.wikidata.org/wiki/Q181365","display_name":"Dot product","level":2,"score":0.2996000051498413},{"id":"https://openalex.org/C2778753846","wikidata":"https://www.wikidata.org/wiki/Q6554239","display_name":"Link (geometry)","level":2,"score":0.29910001158714294},{"id":"https://openalex.org/C169900460","wikidata":"https://www.wikidata.org/wiki/Q2200417","display_name":"Cognition","level":2,"score":0.2858999967575073},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28119999170303345},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.2757999897003174},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.274399995803833},{"id":"https://openalex.org/C116409475","wikidata":"https://www.wikidata.org/wiki/Q1385056","display_name":"External Data Representation","level":2,"score":0.26969999074935913},{"id":"https://openalex.org/C145054310","wikidata":"https://www.wikidata.org/wiki/Q212803","display_name":"Algebraic topology","level":3,"score":0.2662999927997589},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.2531000077724457}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001245","descriptor_name":"Association Learning","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":true},{"descriptor_ui":"D001245","descriptor_name":"Association Learning","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":true},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":true},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":true},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008568","descriptor_name":"Memory","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":true},{"descriptor_ui":"D008568","descriptor_name":"Memory","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":true},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":true}],"locations_count":2,"locations":[{"id":"doi:10.1016/j.biosystems.2026.105836","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.biosystems.2026.105836","pdf_url":null,"source":{"id":"https://openalex.org/S99347777","display_name":"Biosystems","issn_l":"0303-2647","issn":["0303-2647","1872-8324"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BioSystems","raw_type":"journal-article"},{"id":"pmid:42242494","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/42242494","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bio Systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","score":0.4869380295276642,"id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320310753","display_name":"Agencia Nacional de Investigaci\u00f3n e Innovaci\u00f3n","ror":"https://ror.org/03egaj678"},{"id":"https://openalex.org/F4320335090","display_name":"Comisi\u00f3n Sectorial de Investigaci\u00f3n Cient\u00edfica","ror":"https://ror.org/02trn6p95"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":73,"referenced_works":["https://openalex.org/W1493971325","https://openalex.org/W1498436455","https://openalex.org/W1546197084","https://openalex.org/W1799196330","https://openalex.org/W1963560096","https://openalex.org/W1981754467","https://openalex.org/W1989980582","https://openalex.org/W1995061223","https://openalex.org/W1995341919","https://openalex.org/W1999653836","https://openalex.org/W2000800115","https://openalex.org/W2003097712","https://openalex.org/W2007185418","https://openalex.org/W2009692216","https://openalex.org/W2011589116","https://openalex.org/W2013494846","https://openalex.org/W2036200980","https://openalex.org/W2046629183","https://openalex.org/W2047484509","https://openalex.org/W2049891146","https://openalex.org/W2058187817","https://openalex.org/W2058709617","https://openalex.org/W2061482999","https://openalex.org/W2061564920","https://openalex.org/W2062331936","https://openalex.org/W2063046703","https://openalex.org/W2070862086","https://openalex.org/W2073389244","https://openalex.org/W2075210427","https://openalex.org/W2076795289","https://openalex.org/W2078204079","https://openalex.org/W2101295242","https://openalex.org/W2104843786","https://openalex.org/W2113299858","https://openalex.org/W2118373646","https://openalex.org/W2123715374","https://openalex.org/W2125297759","https://openalex.org/W2129217160","https://openalex.org/W2129538584","https://openalex.org/W2135255848","https://openalex.org/W2156613167","https://openalex.org/W2183954497","https://openalex.org/W2484812592","https://openalex.org/W2486886792","https://openalex.org/W2495029002","https://openalex.org/W2523664663","https://openalex.org/W2552744929","https://openalex.org/W2769373801","https://openalex.org/W2796421079","https://openalex.org/W2890450664","https://openalex.org/W2949535532","https://openalex.org/W2962849396","https://openalex.org/W2963731896","https://openalex.org/W2978368159","https://openalex.org/W2998470023","https://openalex.org/W3004895274","https://openalex.org/W3045595095","https://openalex.org/W3104470556","https://openalex.org/W4205199576","https://openalex.org/W4231453661","https://openalex.org/W4232903234","https://openalex.org/W4237454176","https://openalex.org/W4237530664","https://openalex.org/W4243603645","https://openalex.org/W4250421628","https://openalex.org/W4308481194","https://openalex.org/W4378907864","https://openalex.org/W4381800036","https://openalex.org/W4398133596","https://openalex.org/W4401404441","https://openalex.org/W4405017722","https://openalex.org/W4409473662","https://openalex.org/W4410905488"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-10T06:17:36.459440","created_date":"2026-06-04T00:00:00"}
