{"id":"https://openalex.org/W4416707445","doi":"https://doi.org/10.1109/tvcg.2025.3634874","title":"Interactive Composition Operators An Alternative Approach for Selecting Linear Embedding Parameters","display_name":"Interactive Composition Operators An Alternative Approach for Selecting Linear Embedding Parameters","publication_year":2025,"publication_date":"2025-11-26","ids":{"openalex":"https://openalex.org/W4416707445","doi":"https://doi.org/10.1109/tvcg.2025.3634874","pmid":"https://pubmed.ncbi.nlm.nih.gov/41296972"},"language":"en","primary_location":{"id":"doi:10.1109/tvcg.2025.3634874","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2025.3634874","pdf_url":null,"source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Visualization and Computer Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5055750487","display_name":"Dirk J. Lehmann","orcid":"https://orcid.org/0000-0002-8089-4408"},"institutions":[{"id":"https://openalex.org/I2799859273","display_name":"Ostfalia University of Applied Sciences","ror":"https://ror.org/01bk10867","country_code":"DE","type":"education","lineage":["https://openalex.org/I2799859273"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dirk J. Lehmann","raw_affiliation_strings":["Ostfalia University of Applied Sciences, Brunswick-Wolfenbüttel, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ostfalia University of Applied Sciences, Brunswick-Wolfenbüttel, Germany","institution_ids":["https://openalex.org/I2799859273"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011389546","display_name":"K. Blum","orcid":null},"institutions":[{"id":"https://openalex.org/I2799859273","display_name":"Ostfalia University of Applied Sciences","ror":"https://ror.org/01bk10867","country_code":"DE","type":"education","lineage":["https://openalex.org/I2799859273"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kai M. Blum","raw_affiliation_strings":["Ostfalia University of Applied Sciences, Brunswick-Wolfenbüttel, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ostfalia University of Applied Sciences, Brunswick-Wolfenbüttel, Germany","institution_ids":["https://openalex.org/I2799859273"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008620772","display_name":"Manuel Rubio-S\u00e1nchez","orcid":"https://orcid.org/0000-0002-8692-2553"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Manuel Rubio-S\u00e1nchez","raw_affiliation_strings":["URJC, Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"URJC, Madrid, Spain","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042324279","display_name":"Konrad Simon","orcid":"https://orcid.org/0000-0003-1525-3396"},"institutions":[{"id":"https://openalex.org/I2802768257","display_name":"Robert Bosch Hospital","ror":"https://ror.org/034nkkr84","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I2802101015","https://openalex.org/I2802768257","https://openalex.org/I4403386655"]},{"id":"https://openalex.org/I4210149334","display_name":"BOS (Germany)","ror":"https://ror.org/04m492h23","country_code":"DE","type":"company","lineage":["https://openalex.org/I4210149334"]},{"id":"https://openalex.org/I889804353","display_name":"Robert Bosch (Germany)","ror":"https://ror.org/01fe0jt45","country_code":"DE","type":"company","lineage":["https://openalex.org/I889804353"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Konrad Simon","raw_affiliation_strings":["BOSCH GmbH, Stuttgart, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"BOSCH GmbH, Stuttgart, Germany","institution_ids":["https://openalex.org/I889804353","https://openalex.org/I2802768257","https://openalex.org/I4210149334"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"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":0.32129846,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":"1","first_page":"385","last_page":"395"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10799","display_name":"Data Visualization and Analytics","score":0.9379000067710876,"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/T10799","display_name":"Data Visualization and Analytics","score":0.9379000067710876,"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/T11904","display_name":"Spatial Cognition and Navigation","score":0.009600000455975533,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.003700000001117587,"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/embedding","display_name":"Embedding","score":0.8104000091552734},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.7524999976158142},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.6765999794006348},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5755000114440918},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4562000036239624},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.4187000095844269},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.41119998693466187},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.385699987411499}],"concepts":[{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.8104000091552734},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.7524999976158142},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7034000158309937},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.6765999794006348},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5755000114440918},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4562000036239624},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.4187000095844269},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.41119998693466187},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3946000039577484},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.385699987411499},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37880000472068787},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3662000000476837},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.36090001463890076},{"id":"https://openalex.org/C172367668","wikidata":"https://www.wikidata.org/wiki/Q6504956","display_name":"Data visualization","level":3,"score":0.3441999852657318},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.33489999175071716},{"id":"https://openalex.org/C176370821","wikidata":"https://www.wikidata.org/wiki/Q1826459","display_name":"Linear space","level":2,"score":0.3285999894142151},{"id":"https://openalex.org/C207363949","wikidata":"https://www.wikidata.org/wiki/Q462915","display_name":"Visual space","level":3,"score":0.319599986076355},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.3012000024318695},{"id":"https://openalex.org/C75564084","wikidata":"https://www.wikidata.org/wiki/Q5597085","display_name":"Graph embedding","level":3,"score":0.29789999127388},{"id":"https://openalex.org/C58489278","wikidata":"https://www.wikidata.org/wiki/Q1172284","display_name":"Data set","level":2,"score":0.28200000524520874},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.26409998536109924},{"id":"https://openalex.org/C49766605","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear map","level":2,"score":0.25859999656677246},{"id":"https://openalex.org/C2777055276","wikidata":"https://www.wikidata.org/wiki/Q7936580","display_name":"Visual approach","level":2,"score":0.2500999867916107}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tvcg.2025.3634874","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2025.3634874","pdf_url":null,"source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Visualization and Computer Graphics","raw_type":"journal-article"},{"id":"pmid:41296972","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41296972","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,"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":"IEEE transactions on visualization and computer graphics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W4709571","https://openalex.org/W186577225","https://openalex.org/W1486999524","https://openalex.org/W1494010375","https://openalex.org/W1540016502","https://openalex.org/W1672197616","https://openalex.org/W1915551841","https://openalex.org/W1945230793","https://openalex.org/W1951518548","https://openalex.org/W1963992598","https://openalex.org/W1964724001","https://openalex.org/W1978841917","https://openalex.org/W1990293817","https://openalex.org/W2013799749","https://openalex.org/W2015562474","https://openalex.org/W2015755066","https://openalex.org/W2028678069","https://openalex.org/W2037133710","https://openalex.org/W2039113609","https://openalex.org/W2041420722","https://openalex.org/W2042285476","https://openalex.org/W2045831561","https://openalex.org/W2047046780","https://openalex.org/W2050469140","https://openalex.org/W2050488527","https://openalex.org/W2053186076","https://openalex.org/W2055794105","https://openalex.org/W2063295648","https://openalex.org/W2070626686","https://openalex.org/W2082612735","https://openalex.org/W2085466647","https://openalex.org/W2102323492","https://openalex.org/W2104146802","https://openalex.org/W2110080554","https://openalex.org/W2111538337","https://openalex.org/W2115681694","https://openalex.org/W2119452648","https://openalex.org/W2132631291","https://openalex.org/W2145265950","https://openalex.org/W2156718197","https://openalex.org/W2157379557","https://openalex.org/W2162825485","https://openalex.org/W2185918886","https://openalex.org/W2398456342","https://openalex.org/W2423553421","https://openalex.org/W2460847700","https://openalex.org/W2728178741","https://openalex.org/W2728444372","https://openalex.org/W2732575184","https://openalex.org/W2807795618","https://openalex.org/W2808343117","https://openalex.org/W2888244365","https://openalex.org/W2888575471","https://openalex.org/W2945629324","https://openalex.org/W3003734944","https://openalex.org/W3005806855","https://openalex.org/W3022634211","https://openalex.org/W3039650164","https://openalex.org/W3177269615","https://openalex.org/W4213246238","https://openalex.org/W4253133244","https://openalex.org/W4297094733","https://openalex.org/W4300113520","https://openalex.org/W4393970611"],"related_works":[],"abstract_inverted_index":{"Linear":[0],"embeddings":[1],"support":[2],"interactive":[3,217],"visual":[4,94],"exploration":[5],"by":[6],"mapping":[7],"high-dimensional":[8],"(nD)":[9],"data":[10],"into":[11],"a":[12,23,121,125,145,183],"two-dimensional":[13],"space.":[14,32],"Despite":[15],"their":[16],"popularity,":[17],"selecting":[18,140,204],"meaningful":[19],"projection":[20,36,100,161],"parameters":[21,74,143,166,194,205],"remains":[22],"key":[24],"challenge":[25],"due":[26],"to":[27,71,76,139,151,174,181],"the":[28,72,152,160,163,172,177,187,191,199,223],"infinite":[29],"2$n$-dimensional":[30],"parameter":[31,67,104,179],"Once":[33],"an":[34,136],"informative":[35,141],"is":[37,90,195,206],"found,":[38],"users":[39],"often":[40],"seek":[41],"similar":[42,184],"ones":[43],"that":[44],"emphasize":[45],"specific":[46,115],"items":[47,64],"differently":[48],"while":[49],"preserving":[50],"global":[51],"structure.":[52],"For":[53],"instance:":[54],"Do":[55],"clusters":[56],"become":[57],"outliers":[58],"under":[59],"slight":[60],"changes?":[61],"Can":[62],"grouped":[63],"separate-or":[65],"merge-through":[66],"adjustments?":[68],"Which":[69],"changes":[70],"embedding":[73,142,188],"lead":[75],"such":[77],"projections":[78],"-":[79,197],"and":[80,107,203,214],"do":[81],"they":[82],"exist":[83],"at":[84],"all?":[85],"Answering":[86],"these":[87],"questions":[88],"efficiently":[89],"critical":[91],"for":[92,124,130,201,212],"effective":[93],"search.":[95],"Yet,":[96],"current":[97],"methods-such":[98],"as":[99,133],"tours":[101],"or":[102],"manual":[103],"tuning-are":[105],"time-consuming":[106],"risk":[108],"overlooking":[109],"important":[110],"views,":[111],"including":[112],"those":[113],"of":[114,193],"interest.":[116],"We":[117,208],"propose":[118],"Composition":[119],"Operators,":[120],"mathematical":[122],"foundation":[123],"novel":[126],"set-of-point":[127],"manipulation":[128],"concept":[129],"linear":[131],"embeddings-such":[132],"Star":[134],"Coordinates-as":[135],"alternative":[137],"approach":[138],"in":[144],"more":[146],"controllable":[147],"manner":[148],"with":[149],"respect":[150],"desired":[153],"outcome.":[154,185],"Users":[155],"specify":[156],"item-based":[157],"constraints":[158],"on":[159,219],"result;":[162],"corresponding":[164],"2n":[165],"are":[167],"then":[168],"derived":[169],"automatically,":[170],"eliminating":[171],"need":[173],"exhaustively":[175],"search":[176],"entire":[178],"space":[180,189],"get":[182],"Neither":[186],"nor":[190],"set":[192],"altered":[196],"only":[198],"mechanism":[200],"navigating":[202],"redefined.":[207],"provide":[209],"closed-form":[210],"solutions":[211],"this":[213],"demonstrate":[215],"our":[216],"prototype":[218],"nD":[220],"datasets":[221],"from":[222],"UCI":[224],"repository.":[225]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-11-27T00:00:00"}