{"id":"https://openalex.org/W4400588700","doi":"https://doi.org/10.1038/s42256-024-00871-1","title":"Unsupervised learning of topological non-Abelian braiding in non-Hermitian bands","display_name":"Unsupervised learning of topological non-Abelian braiding in non-Hermitian bands","publication_year":2024,"publication_date":"2024-07-12","ids":{"openalex":"https://openalex.org/W4400588700","doi":"https://doi.org/10.1038/s42256-024-00871-1"},"language":"en","primary_location":{"id":"doi:10.1038/s42256-024-00871-1","is_oa":false,"landing_page_url":"https://doi.org/10.1038/s42256-024-00871-1","pdf_url":null,"source":{"id":"https://openalex.org/S2912241403","display_name":"Nature Machine Intelligence","issn_l":"2522-5839","issn":["2522-5839"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319908","host_organization_name":"Nature Portfolio","host_organization_lineage":["https://openalex.org/P4310319908","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Nature Portfolio","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nature Machine Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5069283448","display_name":"Yang Long","orcid":"https://orcid.org/0000-0001-7600-3396"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Yang Long","raw_affiliation_strings":["Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026299536","display_name":"Haoran Xue","orcid":"https://orcid.org/0000-0002-1040-1137"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haoran Xue","raw_affiliation_strings":["Department of Physics, The Chinese University of Hong Kong, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Physics, The Chinese University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043586884","display_name":"Baile Zhang","orcid":"https://orcid.org/0000-0003-1673-5901"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Baile Zhang","raw_affiliation_strings":["Centre for Disruptive Photonic Technologies, Nanyang Technological University, Singapore, Singapore","Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Centre for Disruptive Photonic Technologies, Nanyang Technological University, Singapore, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5069283448"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":{"value":9750,"currency":"EUR","value_usd":11690},"apc_paid":null,"fwci":4.5646,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.95518084,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"6","issue":"8","first_page":"904","last_page":"910"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9824000000953674,"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/hermitian-matrix","display_name":"Hermitian matrix","score":0.6868038773536682},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.6705520153045654},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.391408234834671},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3438250422477722},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31799888610839844},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2682074308395386},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13829335570335388}],"concepts":[{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.6868038773536682},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.6705520153045654},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.391408234834671},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3438250422477722},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31799888610839844},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2682074308395386},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13829335570335388}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1038/s42256-024-00871-1","is_oa":false,"landing_page_url":"https://doi.org/10.1038/s42256-024-00871-1","pdf_url":null,"source":{"id":"https://openalex.org/S2912241403","display_name":"Nature Machine Intelligence","issn_l":"2522-5839","issn":["2522-5839"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319908","host_organization_name":"Nature Portfolio","host_organization_lineage":["https://openalex.org/P4310319908","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Nature Portfolio","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nature Machine Intelligence","raw_type":"journal-article"},{"id":"pmh:oai:dr.ntu.edu.sg:10356/179936","is_oa":false,"landing_page_url":"https://hdl.handle.net/10356/179936","pdf_url":null,"source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4099999964237213,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":95,"referenced_works":["https://openalex.org/W1967469690","https://openalex.org/W1989838827","https://openalex.org/W1990997025","https://openalex.org/W2002623614","https://openalex.org/W2018081536","https://openalex.org/W2034754411","https://openalex.org/W2046052728","https://openalex.org/W2056532595","https://openalex.org/W2091919572","https://openalex.org/W2094872150","https://openalex.org/W2128333270","https://openalex.org/W2152240519","https://openalex.org/W2286173540","https://openalex.org/W2318517541","https://openalex.org/W2327745271","https://openalex.org/W2479754631","https://openalex.org/W2592691829","https://openalex.org/W2603699694","https://openalex.org/W2606986550","https://openalex.org/W2609906726","https://openalex.org/W2656144764","https://openalex.org/W2744045251","https://openalex.org/W2744151324","https://openalex.org/W2786312866","https://openalex.org/W2787598276","https://openalex.org/W2789845225","https://openalex.org/W2792315573","https://openalex.org/W2804616373","https://openalex.org/W2886922450","https://openalex.org/W2896378930","https://openalex.org/W2899338428","https://openalex.org/W2899996555","https://openalex.org/W2916939830","https://openalex.org/W2923537029","https://openalex.org/W2941037045","https://openalex.org/W2944410353","https://openalex.org/W2963468387","https://openalex.org/W2966925370","https://openalex.org/W2970235245","https://openalex.org/W2971426594","https://openalex.org/W2989816427","https://openalex.org/W2994665279","https://openalex.org/W2996519049","https://openalex.org/W2999164003","https://openalex.org/W2999733759","https://openalex.org/W3005786300","https://openalex.org/W3006594036","https://openalex.org/W3008895341","https://openalex.org/W3029132649","https://openalex.org/W3033945399","https://openalex.org/W3043224635","https://openalex.org/W3043344014","https://openalex.org/W3045619557","https://openalex.org/W3049158417","https://openalex.org/W3082358820","https://openalex.org/W3082801304","https://openalex.org/W3095463428","https://openalex.org/W3099543105","https://openalex.org/W3101152243","https://openalex.org/W3103722330","https://openalex.org/W3109565621","https://openalex.org/W3133361432","https://openalex.org/W3137953428","https://openalex.org/W3151684234","https://openalex.org/W3154396532","https://openalex.org/W3157423325","https://openalex.org/W3166293740","https://openalex.org/W3203513610","https://openalex.org/W3206489737","https://openalex.org/W3210867558","https://openalex.org/W3215285253","https://openalex.org/W3215586477","https://openalex.org/W3216226991","https://openalex.org/W3217754960","https://openalex.org/W4206033325","https://openalex.org/W4206439382","https://openalex.org/W4206923999","https://openalex.org/W4220727631","https://openalex.org/W4221140394","https://openalex.org/W4226216774","https://openalex.org/W4285083708","https://openalex.org/W4288432556","https://openalex.org/W4306809618","https://openalex.org/W4307007534","https://openalex.org/W4313561420","https://openalex.org/W4317214909","https://openalex.org/W4364375060","https://openalex.org/W4366442111","https://openalex.org/W4379467658","https://openalex.org/W4382537101","https://openalex.org/W4383619034","https://openalex.org/W4387528273","https://openalex.org/W4392028182","https://openalex.org/W4392642015","https://openalex.org/W6911417234"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036","https://openalex.org/W3148032049"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":3}],"updated_date":"2025-12-26T23:08:49.675405","created_date":"2025-10-10T00:00:00"}