{"id":"https://openalex.org/W4220984157","doi":"https://doi.org/10.1117/12.2623460","title":"Homological assessment of data representations","display_name":"Homological assessment of data representations","publication_year":2022,"publication_date":"2022-03-05","ids":{"openalex":"https://openalex.org/W4220984157","doi":"https://doi.org/10.1117/12.2623460"},"language":"en","primary_location":{"id":"doi:10.1117/12.2623460","is_oa":false,"landing_page_url":"https://doi.org/10.1117/12.2623460","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fourteenth International Conference on Machine Vision (ICMV 2021)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-03816596","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003291216","display_name":"Serguei Barannikov","orcid":"https://orcid.org/0000-0002-9323-0651"},"institutions":[{"id":"https://openalex.org/I125989756","display_name":"Skolkovo Institute of Science and Technology","ror":"https://ror.org/03f9nc143","country_code":"RU","type":"education","lineage":["https://openalex.org/I125989756"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I3017942884","display_name":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche","ror":"https://ror.org/03fk87k11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I4210141950"]}],"countries":["FR","RU"],"is_corresponding":false,"raw_author_name":"Serguei Barannikov","raw_affiliation_strings":["Paris Univ. (France)","Skolkovo Institute of Science and Technology (Russian Federation)","Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche","Skolkovo Institute of Science and Technology [Moscow]","Universit\u00e9 Paris Cit\u00e9"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Paris Univ. (France)","institution_ids":[]},{"raw_affiliation_string":"Skolkovo Institute of Science and Technology (Russian Federation)","institution_ids":["https://openalex.org/I125989756"]},{"raw_affiliation_string":"Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche","institution_ids":["https://openalex.org/I3017942884"]},{"raw_affiliation_string":"Skolkovo Institute of Science and Technology [Moscow]","institution_ids":["https://openalex.org/I125989756"]},{"raw_affiliation_string":"Universit\u00e9 Paris Cit\u00e9","institution_ids":["https://openalex.org/I204730241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001714982","display_name":"Ilya Trofimov","orcid":"https://orcid.org/0000-0002-2961-7368"},"institutions":[{"id":"https://openalex.org/I125989756","display_name":"Skolkovo Institute of Science and Technology","ror":"https://ror.org/03f9nc143","country_code":"RU","type":"education","lineage":["https://openalex.org/I125989756"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Ilya Trofimov","raw_affiliation_strings":["Skolkovo Institute of Science and Technology (Russian Federation)","Skolkovo Institute of Science and Technology [Moscow]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Skolkovo Institute of Science and Technology (Russian Federation)","institution_ids":["https://openalex.org/I125989756"]},{"raw_affiliation_string":"Skolkovo Institute of Science and Technology [Moscow]","institution_ids":["https://openalex.org/I125989756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012609100","display_name":"Ekaterina Trimbach","orcid":null},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Ekaterina Trimbach","raw_affiliation_strings":["Moscow Institute of Physics and Technology (Russian Federation)","Moscow Institute of Physics and Technology [Moscow]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Institute of Physics and Technology (Russian Federation)","institution_ids":["https://openalex.org/I153845743"]},{"raw_affiliation_string":"Moscow Institute of Physics and Technology [Moscow]","institution_ids":["https://openalex.org/I153845743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100384767","display_name":"Jun Wang","orcid":"https://orcid.org/0000-0002-5890-0365"},"institutions":[{"id":"https://openalex.org/I125989756","display_name":"Skolkovo Institute of Science and Technology","ror":"https://ror.org/03f9nc143","country_code":"RU","type":"education","lineage":["https://openalex.org/I125989756"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Jun Wang","raw_affiliation_strings":["Skolkovo Institute of Science and Technology (Russian Federation)","Skolkovo Institute of Science and Technology [Moscow]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Skolkovo Institute of Science and Technology (Russian Federation)","institution_ids":["https://openalex.org/I125989756"]},{"raw_affiliation_string":"Skolkovo Institute of Science and Technology [Moscow]","institution_ids":["https://openalex.org/I125989756"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088950452","display_name":"Evgeny Burnaev","orcid":"https://orcid.org/0000-0001-8424-0690"},"institutions":[{"id":"https://openalex.org/I125989756","display_name":"Skolkovo Institute of Science and Technology","ror":"https://ror.org/03f9nc143","country_code":"RU","type":"education","lineage":["https://openalex.org/I125989756"]},{"id":"https://openalex.org/I4392021246","display_name":"AIRI - Artificial Intelligence Research Institute","ror":"https://ror.org/014a87f14","country_code":"RU","type":"nonprofit","lineage":["https://openalex.org/I4392021246"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Evgeny Burnaev","raw_affiliation_strings":["Skolkovo Institute of Science and Technology (Russian Federation)","Artificial Intelligence Research Institute [Moscow]","Skolkovo Institute of Science and Technology [Moscow]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Skolkovo Institute of Science and Technology (Russian Federation)","institution_ids":["https://openalex.org/I125989756"]},{"raw_affiliation_string":"Artificial Intelligence Research Institute [Moscow]","institution_ids":["https://openalex.org/I4392021246"]},{"raw_affiliation_string":"Skolkovo Institute of Science and Technology [Moscow]","institution_ids":["https://openalex.org/I125989756"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01853367,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"41","last_page":"41"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9947999715805054,"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"}},"topics":[{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9947999715805054,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9919999837875366,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9897000193595886,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/barcode","display_name":"Barcode","score":0.8934864401817322},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.7347354292869568},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6315856575965881},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.46196526288986206},{"id":"https://openalex.org/keywords/information-retrieval","display_name":"Information retrieval","score":0.385686457157135},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35601210594177246},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.34999796748161316},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24269646406173706},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15626412630081177}],"concepts":[{"id":"https://openalex.org/C2776841711","wikidata":"https://www.wikidata.org/wiki/Q856","display_name":"Barcode","level":2,"score":0.8934864401817322},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.7347354292869568},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6315856575965881},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.46196526288986206},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.385686457157135},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35601210594177246},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.34999796748161316},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24269646406173706},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15626412630081177},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1117/12.2623460","is_oa":false,"landing_page_url":"https://doi.org/10.1117/12.2623460","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fourteenth International Conference on Machine Vision (ICMV 2021)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-03816596v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03816596","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.spiedigitallibrary.org/conference-proceedings-of-spie/12084/2623460/Homological-assessment-of-data-representations/10.1117/12.2623460.short","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03816596v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03816596","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.spiedigitallibrary.org/conference-proceedings-of-spie/12084/2623460/Homological-assessment-of-data-representations/10.1117/12.2623460.short","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.7599999904632568,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W2163922914","https://openalex.org/W2913376421","https://openalex.org/W2914552685","https://openalex.org/W3157286395","https://openalex.org/W4200556375","https://openalex.org/W4241278946","https://openalex.org/W6682755970","https://openalex.org/W6683772321","https://openalex.org/W6763029685","https://openalex.org/W6784964964","https://openalex.org/W6794315554","https://openalex.org/W6796257808","https://openalex.org/W6955712162"],"related_works":["https://openalex.org/W2256570403","https://openalex.org/W2074156223","https://openalex.org/W4391927655","https://openalex.org/W2103246366","https://openalex.org/W2901653204","https://openalex.org/W2102526470","https://openalex.org/W2613659923","https://openalex.org/W4378447789","https://openalex.org/W3207557903","https://openalex.org/W1980504858"],"abstract_inverted_index":{"In":[0,19],"this":[1,26],"paper*":[2],"we":[3,21],"discuss":[4],"the":[5,8,15,23,29,34,38,45,48,52,64],"concept":[6,27],"of":[7,25,31,33,47,54],"Cross-Barcode":[9,49],"(P,Q)":[10,50],"introduced":[11],"and":[12],"studied":[13],"in":[14,56],"recent":[16],"work":[17],"[1].":[18],"particular,":[20],"describe":[22],"emergence":[24],"from":[28,67],"combinatorics":[30],"matrices":[32],"pairwise":[35],"distances":[36],"between":[37],"two":[39],"data":[40,57],"representations.":[41,58],"We":[42],"also":[43],"illustrate":[44],"applications":[46],"to":[51],"evaluation":[53],"disentanglement":[55],"Experiments":[59],"are":[60],"carried":[61],"out":[62],"with":[63],"dSprites":[65],"dataset":[66],"computer":[68],"vision.":[69]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
