{"id":"https://openalex.org/W4415597812","doi":"https://doi.org/10.1007/s00454-025-00754-1","title":"Coresets for Weight-Constrained Anisotropic Assignment and Clustering","display_name":"Coresets for Weight-Constrained Anisotropic Assignment and Clustering","publication_year":2025,"publication_date":"2025-10-27","ids":{"openalex":"https://openalex.org/W4415597812","doi":"https://doi.org/10.1007/s00454-025-00754-1"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-025-00754-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-025-00754-1","pdf_url":null,"source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/s00454-025-00754-1","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114020410","display_name":"Maximilian Fiedler","orcid":null},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Maximilian Fiedler","raw_affiliation_strings":["Department of Mathematics, TU M\u00fcnchen, D-80290, Munich, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, TU M\u00fcnchen, D-80290, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009407877","display_name":"Peter Gritzmann","orcid":"https://orcid.org/0000-0003-0157-6880"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Peter Gritzmann","raw_affiliation_strings":["Department of Mathematics, TU M\u00fcnchen, D-80290, Munich, Germany"],"raw_orcid":"https://orcid.org/0000-0003-0157-6880","affiliations":[{"raw_affiliation_string":"Department of Mathematics, TU M\u00fcnchen, D-80290, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5009407877"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":{"value":2890,"currency":"USD","value_usd":2890},"fwci":2.2525,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.90984396,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"76","issue":"1","first_page":"378","last_page":"415"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T12292","display_name":"Graph Theory and Algorithms","score":0.9973000288009644,"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/T11106","display_name":"Data Management and Algorithms","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/cluster-analysis","display_name":"Cluster analysis","score":0.8302000164985657},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.6208999752998352},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.3515999913215637},{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.3508000075817108},{"id":"https://openalex.org/keywords/correlation-clustering","display_name":"Correlation clustering","score":0.298799991607666}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.8302000164985657},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.6208999752998352},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4805999994277954},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4088999927043915},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.3515999913215637},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.3508000075817108},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3352999985218048},{"id":"https://openalex.org/C94641424","wikidata":"https://www.wikidata.org/wiki/Q5172845","display_name":"Correlation clustering","level":3,"score":0.298799991607666},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.29679998755455017},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.29510000348091125},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.27790001034736633},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.27730000019073486},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.25450000166893005}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-025-00754-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-025-00754-1","pdf_url":null,"source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00454-025-00754-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-025-00754-1","pdf_url":null,"source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323383","display_name":"Technische Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/02kkvpp62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W74914617","https://openalex.org/W1530581016","https://openalex.org/W1975173025","https://openalex.org/W1977690230","https://openalex.org/W1978906111","https://openalex.org/W1981773323","https://openalex.org/W1983226330","https://openalex.org/W1986555636","https://openalex.org/W1989971109","https://openalex.org/W2021421215","https://openalex.org/W2022855308","https://openalex.org/W2028356337","https://openalex.org/W2030860158","https://openalex.org/W2031003742","https://openalex.org/W2034437844","https://openalex.org/W2036706271","https://openalex.org/W2067260519","https://openalex.org/W2068681518","https://openalex.org/W2086959852","https://openalex.org/W2094048240","https://openalex.org/W2128666259","https://openalex.org/W2133157266","https://openalex.org/W2160039585","https://openalex.org/W2167816765","https://openalex.org/W2208127316","https://openalex.org/W2220402431","https://openalex.org/W2404527527","https://openalex.org/W2495531894","https://openalex.org/W2597586814","https://openalex.org/W2606793110","https://openalex.org/W2805601968","https://openalex.org/W2888080453","https://openalex.org/W2949910245","https://openalex.org/W2962777529","https://openalex.org/W3002138439","https://openalex.org/W3036859713","https://openalex.org/W4200087734","https://openalex.org/W4236385439","https://openalex.org/W4319303583","https://openalex.org/W4322768807","https://openalex.org/W4386474617"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"We":[1],"construct":[2],"small":[3,65],"coresets":[4,34],"for":[5,24,36,62],"weight-constrained":[6,37],"anisotropic":[7,38],"assignment":[8],"and":[9],"clustering":[10,27,39],"with":[11],"a":[12],"specific":[13],"view":[14],"toward":[15],"applications":[16,63],"in":[17,64],"materials":[18],"science.":[19],"Building":[20],"on":[21,48],"previous":[22],"results":[23],"unconstrained":[25],"least-squares":[26],"of":[28,45,51],"Har-Peled":[29],"&amp;":[30],"Kushal,":[31],"we":[32],"obtain":[33],"even":[35],"and,":[40],"particularly,":[41],"reduce":[42],"the":[43,49],"dependence":[44],"their":[46],"sizes":[47],"number":[50],"clusters":[52],"from":[53],"cubic":[54],"to":[55],"quadratic,":[56],"an":[57],"improvement":[58],"which":[59],"is":[60],"decisive":[61],"dimensions":[66],"such":[67],"as":[68],"grain":[69],"mapping.":[70]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-28T00:00:00"}
