{"id":"https://openalex.org/W2065598818","doi":"https://doi.org/10.1142/s0218127409024086","title":"NONLINEAR STATISTICS OF HUMAN SPEECH DATA","display_name":"NONLINEAR STATISTICS OF HUMAN SPEECH DATA","publication_year":2009,"publication_date":"2009-07-01","ids":{"openalex":"https://openalex.org/W2065598818","doi":"https://doi.org/10.1142/s0218127409024086","mag":"2065598818"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127409024086","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409024086","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5109073220","display_name":"Kenneth A. Brown","orcid":null},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"KENNETH A. BROWN","raw_affiliation_strings":["Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA","Department of Mathematics, University of South Carolina, Columbia SC, 29208, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA","institution_ids":["https://openalex.org/I155781252"]},{"raw_affiliation_string":"Department of Mathematics, University of South Carolina, Columbia SC, 29208, USA","institution_ids":["https://openalex.org/I155781252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005671010","display_name":"K. Knudson","orcid":"https://orcid.org/0000-0001-6768-2542"},"institutions":[{"id":"https://openalex.org/I99041443","display_name":"Mississippi State University","ror":"https://ror.org/0432jq872","country_code":"US","type":"education","lineage":["https://openalex.org/I4210141039","https://openalex.org/I99041443"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"KEVIN P. KNUDSON","raw_affiliation_strings":["Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USA","institution_ids":["https://openalex.org/I99041443"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3472,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.6180193,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"19","issue":"07","first_page":"2307","last_page":"2319"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9761999845504761,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9083999991416931,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/betti-number","display_name":"Betti number","score":0.7370827198028564},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.7240446209907532},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5480390787124634},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5405203104019165},{"id":"https://openalex.org/keywords/speech-recognition","display_name":"Speech recognition","score":0.5344164967536926},{"id":"https://openalex.org/keywords/persistent-homology","display_name":"Persistent homology","score":0.5204146504402161},{"id":"https://openalex.org/keywords/homology","display_name":"Homology (biology)","score":0.4485267698764801},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4276203215122223},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4134008288383484},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36731570959091187},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.32774102687835693},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.25714412331581116},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22224682569503784},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18955639004707336},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07887023687362671}],"concepts":[{"id":"https://openalex.org/C129621563","wikidata":"https://www.wikidata.org/wiki/Q429593","display_name":"Betti number","level":2,"score":0.7370827198028564},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.7240446209907532},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5480390787124634},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5405203104019165},{"id":"https://openalex.org/C28490314","wikidata":"https://www.wikidata.org/wiki/Q189436","display_name":"Speech recognition","level":1,"score":0.5344164967536926},{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.5204146504402161},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.4485267698764801},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4276203215122223},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4134008288383484},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36731570959091187},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.32774102687835693},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25714412331581116},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22224682569503784},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18955639004707336},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07887023687362671},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127409024086","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409024086","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","score":0.4399999976158142,"id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W2001887552","https://openalex.org/W2002561941","https://openalex.org/W2025743655","https://openalex.org/W2053690893","https://openalex.org/W2104339857","https://openalex.org/W2144044408","https://openalex.org/W2313953460","https://openalex.org/W3013843370","https://openalex.org/W4229539396"],"related_works":["https://openalex.org/W3005059017","https://openalex.org/W2187846266","https://openalex.org/W2470513119","https://openalex.org/W2161833196","https://openalex.org/W2118382603","https://openalex.org/W2188287671","https://openalex.org/W180124098","https://openalex.org/W1512631008","https://openalex.org/W2950365881","https://openalex.org/W1959979995"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,18],"structure":[3],"of":[4,12,51],"point":[5],"clouds":[6],"obtained":[7],"as":[8],"time":[9],"delay":[10],"embeddings":[11],"human":[13],"speech":[14],"signals":[15],"by":[16],"approximating":[17],"data":[19],"sets":[20],"with":[21],"certain":[22],"simplicial":[23],"complexes":[24],"and":[25,41,58],"analyzing":[26],"their":[27],"persistent":[28],"homology.":[29],"Results":[30],"for":[31],"several":[32],"different":[33],"sounds":[34,52],"are":[35],"presented":[36],"in":[37],"embedding":[38],"dimensions":[39],"3":[40],"4.":[42],"The":[43],"first":[44],"Betti":[45],"number":[46],"allows":[47],"a":[48],"coarse":[49],"classification":[50],"into":[53],"three":[54],"groups:":[55],"vowels,":[56],"nasals":[57],"noise.":[59]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}