{"id":"https://openalex.org/W3199815568","doi":"https://doi.org/10.1371/journal.pone.0257215","title":"Noise robustness of persistent homology on greyscale images, across filtrations and signatures","display_name":"Noise robustness of persistent homology on greyscale images, across filtrations and signatures","publication_year":2021,"publication_date":"2021-09-24","ids":{"openalex":"https://openalex.org/W3199815568","doi":"https://doi.org/10.1371/journal.pone.0257215","mag":"3199815568","pmid":"https://pubmed.ncbi.nlm.nih.gov/34559812","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/8462731"},"language":"en","primary_location":{"id":"doi:10.1371/journal.pone.0257215","doi":"https://doi.org/10.1371/journal.pone.0257215","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pone.0257215","pdf_url":"https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0257215&type=printable","source":{"id":"https://openalex.org/S202381698","display_name":"PLoS ONE","issn_l":"1932-6203","issn":["1932-6203"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","doyens","erih-plus","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS ONE","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0257215&type=printable","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054182594","display_name":"Renata Turke\u0161","orcid":"https://orcid.org/0000-0002-9472-1698","observed_orcids":["https://orcid.org/0000-0002-9472-1698"]},"institutions":[{"id":"https://openalex.org/I149213910","display_name":"University of Antwerp","ror":"https://ror.org/008x57b05","country_code":"BE","type":"education","lineage":["https://openalex.org/I149213910"]},{"id":"https://openalex.org/I4210114974","display_name":"IMEC","ror":"https://ror.org/02kcbn207","country_code":"BE","type":"nonprofit","lineage":["https://openalex.org/I4210114974"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Renata Turke\u0161","raw_affiliation_strings":["Department of Computer Science, IDLab, University of Antwerp - imec, Antwerp, Belgium"],"raw_orcid":"https://orcid.org/0000-0002-9472-1698","affiliations":[{"raw_affiliation_string":"Department of Computer Science, IDLab, University of Antwerp - imec, Antwerp, Belgium","institution_ids":["https://openalex.org/I149213910","https://openalex.org/I4210114974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023283182","display_name":"Jannes Nys","orcid":"https://orcid.org/0000-0001-7491-3660","observed_orcids":["https://orcid.org/0000-0001-7491-3660"]},"institutions":[{"id":"https://openalex.org/I149213910","display_name":"University of Antwerp","ror":"https://ror.org/008x57b05","country_code":"BE","type":"education","lineage":["https://openalex.org/I149213910"]},{"id":"https://openalex.org/I4210114974","display_name":"IMEC","ror":"https://ror.org/02kcbn207","country_code":"BE","type":"nonprofit","lineage":["https://openalex.org/I4210114974"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Jannes Nys","raw_affiliation_strings":["Department of Computer Science, IDLab, University of Antwerp - imec, Antwerp, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, IDLab, University of Antwerp - imec, Antwerp, Belgium","institution_ids":["https://openalex.org/I149213910","https://openalex.org/I4210114974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085208338","display_name":"Tim Verdonck","orcid":"https://orcid.org/0000-0003-1105-2028","observed_orcids":["https://orcid.org/0000-0003-1105-2028"]},"institutions":[{"id":"https://openalex.org/I149213910","display_name":"University of Antwerp","ror":"https://ror.org/008x57b05","country_code":"BE","type":"education","lineage":["https://openalex.org/I149213910"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Tim Verdonck","raw_affiliation_strings":["Department of Mathematics, Applied Mathematics, University of Antwerp, Antwerp, Belgium"],"raw_orcid":"https://orcid.org/0000-0003-1105-2028","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Applied Mathematics, University of Antwerp, Antwerp, Belgium","institution_ids":["https://openalex.org/I149213910"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049021976","display_name":"Steven Latr\u00e9","orcid":"https://orcid.org/0000-0003-0351-1714","observed_orcids":["https://orcid.org/0000-0003-0351-1714"]},"institutions":[{"id":"https://openalex.org/I149213910","display_name":"University of Antwerp","ror":"https://ror.org/008x57b05","country_code":"BE","type":"education","lineage":["https://openalex.org/I149213910"]},{"id":"https://openalex.org/I4210114974","display_name":"IMEC","ror":"https://ror.org/02kcbn207","country_code":"BE","type":"nonprofit","lineage":["https://openalex.org/I4210114974"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Steven Latr\u00e9","raw_affiliation_strings":["Department of Computer Science, IDLab, University of Antwerp - imec, Antwerp, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, IDLab, University of Antwerp - imec, Antwerp, Belgium","institution_ids":["https://openalex.org/I149213910","https://openalex.org/I4210114974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5054182594"],"corresponding_institution_ids":["https://openalex.org/I149213910","https://openalex.org/I4210114974"],"apc_list":{"value":1749,"currency":"USD","value_usd":1749},"apc_paid":{"value":1749,"currency":"USD","value_usd":1749},"fwci":2.6134,"has_fulltext":true,"cited_by_count":21,"citation_normalized_percentile":{"value":0.90940207,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"16","issue":"9","first_page":"e0257215","last_page":"e0257215"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":1.0,"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":1.0,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.0,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.0,"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/persistent-homology","display_name":"persistent homology","score":0.9990000128746033},{"id":"https://openalex.org/keywords/noise-robustness","display_name":"noise robustness","score":0.984000027179718},{"id":"https://openalex.org/keywords/stability-theorems","display_name":"stability theorems","score":0.871999979019165},{"id":"https://openalex.org/keywords/topological-data-analysis","display_name":"topological data analysis","score":0.8550000190734863},{"id":"https://openalex.org/keywords/grayscale-images","display_name":"grayscale images","score":0.8690000176429749},{"id":"https://openalex.org/keywords/mnist","display_name":"MNIST","score":0.7129999995231628},{"id":"https://openalex.org/keywords/handwritten-digit-recognition","display_name":"handwritten digit recognition","score":0.9610000252723694},{"id":"https://openalex.org/keywords/filtration","display_name":"filtration","score":0.9390000104904175},{"id":"https://openalex.org/keywords/image-noise","display_name":"image noise","score":0.8270000219345093}],"concepts":[{"id":"https://openalex.org/C190502265","wikidata":"https://www.wikidata.org/wiki/Q17069496","display_name":"MNIST database","level":3,"score":0.800603985786438},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7872626781463623},{"id":"https://openalex.org/C78201319","wikidata":"https://www.wikidata.org/wiki/Q685727","display_name":"Grayscale","level":3,"score":0.7001957893371582},{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.6522649526596069},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.56088787317276},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5543912649154663},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4838670492172241},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4685947000980377},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.44055765867233276},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.41562947630882263},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3843771815299988},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3497496247291565},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23892268538475037},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.15649375319480896},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.1514090895652771},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.13989928364753723},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.13404184579849243},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06871697306632996},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003952","descriptor_name":"Diagnostic Imaging","qualifier_ui":"Q000295","qualifier_name":"instrumentation","is_major_topic":true},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":true},{"descriptor_ui":"D008433","descriptor_name":"Mathematics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016011","descriptor_name":"Normal Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016477","descriptor_name":"Artifacts","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":10,"locations":[{"id":"doi:10.1371/journal.pone.0257215","doi":"https://doi.org/10.1371/journal.pone.0257215","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pone.0257215","pdf_url":"https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0257215&type=printable","source":{"id":"https://openalex.org/S202381698","display_name":"PLoS ONE","issn_l":"1932-6203","issn":["1932-6203"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","doyens","erih-plus","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS ONE","raw_type":"journal-article"},{"id":"pmh:oai:europepmc.org:7352853","doi":null,"is_oa":true,"landing_page_url":"http://europepmc.org/pmc/articles/PMC8462731","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"Text"},{"id":"pmid:34559812","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34559812","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,"listed_in":[],"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":"PloS one","raw_type":"Journal Article"},{"id":"pmh:oai:pubmedcentral.nih.gov:8462731","doi":null,"is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC8462731/","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLoS One","raw_type":"Text"},{"id":"pmh:oai:arXiv.org:2108.07008","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2108.07008","pdf_url":"https://arxiv.org/pdf/2108.07008","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},{"id":"pmh:oai:lirias2repo.kuleuven.be:20.500.12942/708410","doi":null,"is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/20.500.12942/708410","pdf_url":"https://lirias.kuleuven.be/retrieve/f929408c-5171-4d05-a45f-6e8fdc1450ae","source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"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":"Plos One, vol. 16 (9), Art.No. ARTN e0257215","raw_type":"info:eu-repo/semantics/article"},{"id":"mag:3194841318","doi":null,"is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2108.07008","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:RePEc:plo:pone00:0257215","doi":null,"is_oa":false,"landing_page_url":"https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0257215","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:bf20c915b55b4b1882e644bda6954ef5","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/bf20c915b55b4b1882e644bda6954ef5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS ONE, Vol 16, Iss 9, p e0257215 (2021)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2108.07008","doi":"https://doi.org/10.48550/arxiv.2108.07008","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2108.07008","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1371/journal.pone.0257215","doi":"https://doi.org/10.1371/journal.pone.0257215","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pone.0257215","pdf_url":"https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0257215&type=printable","source":{"id":"https://openalex.org/S202381698","display_name":"PLoS ONE","issn_l":"1932-6203","issn":["1932-6203"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","doyens","erih-plus","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS ONE","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3199815568.pdf","grobid_xml":"https://content.openalex.org/works/W3199815568.grobid-xml"},"referenced_works_count":74,"referenced_works":["https://openalex.org/W335170390","https://openalex.org/W1492288577","https://openalex.org/W1528911722","https://openalex.org/W1569358572","https://openalex.org/W1597646636","https://openalex.org/W1753705553","https://openalex.org/W1875255550","https://openalex.org/W1960384938","https://openalex.org/W1965432148","https://openalex.org/W1968445443","https://openalex.org/W1983788811","https://openalex.org/W1999528235","https://openalex.org/W2003660259","https://openalex.org/W2036780368","https://openalex.org/W2037613900","https://openalex.org/W2037817770","https://openalex.org/W2038840372","https://openalex.org/W2056761334","https://openalex.org/W2075963948","https://openalex.org/W2096736341","https://openalex.org/W2104339857","https://openalex.org/W2106269037","https://openalex.org/W2110369778","https://openalex.org/W2115445832","https://openalex.org/W2122101130","https://openalex.org/W2131785047","https://openalex.org/W2136883589","https://openalex.org/W2144044408","https://openalex.org/W2153986241","https://openalex.org/W2270439332","https://openalex.org/W2272065411","https://openalex.org/W2328525712","https://openalex.org/W2408772186","https://openalex.org/W2547770432","https://openalex.org/W2566828544","https://openalex.org/W2577615791","https://openalex.org/W2608268981","https://openalex.org/W2613791983","https://openalex.org/W2626898927","https://openalex.org/W2761733590","https://openalex.org/W2763959081","https://openalex.org/W2768221093","https://openalex.org/W2769730089","https://openalex.org/W2795696711","https://openalex.org/W2805911684","https://openalex.org/W2890000491","https://openalex.org/W2899741138","https://openalex.org/W2920595754","https://openalex.org/W2920851774","https://openalex.org/W2945006865","https://openalex.org/W2963154349","https://openalex.org/W2963636759","https://openalex.org/W2963809284","https://openalex.org/W2980504251","https://openalex.org/W2981151966","https://openalex.org/W2995034041","https://openalex.org/W3004891822","https://openalex.org/W3009330671","https://openalex.org/W3013843370","https://openalex.org/W3015234645","https://openalex.org/W3038980771","https://openalex.org/W3040586665","https://openalex.org/W3090328960","https://openalex.org/W3098455240","https://openalex.org/W3106391989","https://openalex.org/W3137174973","https://openalex.org/W3140579943","https://openalex.org/W3159192047","https://openalex.org/W4233690291","https://openalex.org/W4234555707","https://openalex.org/W4238252746","https://openalex.org/W4243631322","https://openalex.org/W4251980118","https://openalex.org/W4287872784"],"related_works":["https://openalex.org/W7171514096","https://openalex.org/W7100028549","https://openalex.org/W7221556999","https://openalex.org/W3042426146","https://openalex.org/W1001360230","https://openalex.org/W7106562787","https://openalex.org/W2793441250","https://openalex.org/W6959599005","https://openalex.org/W4417536530","https://openalex.org/W7147740758"],"abstract_inverted_index":{"Topological":[0],"data":[1,67],"analysis":[2,13],"is":[3,68,140,155],"a":[4,29,185],"recent":[5],"and":[6,47,126,162,168,172],"fast":[7],"growing":[8],"field":[9],"that":[10,58,148,175],"approaches":[11],"the":[12,35,41,48,55,99,105,128,134,143,149,158,166],"of":[14,45,102,108,123,130,153,160,170],"datasets":[15],"using":[16],"techniques":[17],"from":[18],"(algebraic)":[19],"topology.":[20],"Its":[21],"main":[22,49],"tool,":[23],"persistent":[24],"homology":[25],"(PH),":[26],"has":[27,79],"seen":[28],"notable":[30],"increase":[31],"in":[32,34,88,132,173,184],"applications":[33],"last":[36],"decade.":[37],"Often":[38],"cited":[39],"as":[40],"most":[42],"favourable":[43],"property":[44],"PH":[46,103,118,154,176],"reason":[50],"for":[51],"practical":[52],"success":[53],"are":[54,178],"stability":[56,85],"theorems":[57,86],"give":[59],"theoretical":[60],"results":[61,146],"about":[62],"noise":[63,72,100,139,152,183],"robustness,":[64],"since":[65],"real":[66],"typically":[69],"contaminated":[70],"with":[71],"or":[73],"measurement":[74],"errors.":[75],"However,":[76],"little":[77],"attention":[78],"been":[80],"paid":[81],"to":[82,115,142,151,182],"what":[83,116],"these":[84],"mean":[87],"practice.":[89],"To":[90],"gain":[91],"some":[92],"insight":[93],"into":[94],"this":[95],"question,":[96],"we":[97,113],"evaluate":[98],"robustness":[101],"on":[104],"MNIST":[106,135],"dataset":[107],"greyscale":[109],"images.":[110],"More":[111],"precisely,":[112],"investigate":[114],"extent":[117],"changes":[119],"under":[120],"typical":[121],"forms":[122],"image":[124],"noise,":[125],"quantify":[127],"loss":[129],"performance":[131],"classifying":[133],"handwritten":[136],"digits":[137],"when":[138],"added":[141],"data.":[144],"The":[145],"show":[147],"sensitivity":[150],"influenced":[156],"by":[157],"choice":[159],"filtrations":[161],"persistence":[163],"signatures":[164],"(respectively":[165],"input":[167],"output":[169],"PH),":[171],"particular,":[174],"features":[177],"often":[179],"not":[180],"robust":[181],"classification":[186],"task.":[187]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2021-09-27T00:00:00"}