{"id":"https://openalex.org/W2292253457","doi":"https://doi.org/10.1007/s10710-015-9252-6","title":"Progress properties and fitness bounds for geometric semantic search operators","display_name":"Progress properties and fitness bounds for geometric semantic search operators","publication_year":2015,"publication_date":"2015-10-22","ids":{"openalex":"https://openalex.org/W2292253457","doi":"https://doi.org/10.1007/s10710-015-9252-6","mag":"2292253457"},"language":"en","primary_location":{"id":"doi:10.1007/s10710-015-9252-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10710-015-9252-6","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs10710-015-9252-6.pdf","source":{"id":"https://openalex.org/S47930974","display_name":"Genetic Programming and Evolvable Machines","issn_l":"1389-2576","issn":["1389-2576","1573-7632"],"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":"Genetic Programming and Evolvable Machines","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007%2Fs10710-015-9252-6.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079242784","display_name":"Tomasz P. Pawlak","orcid":"https://orcid.org/0000-0002-8353-0562"},"institutions":[{"id":"https://openalex.org/I46597724","display_name":"Pozna\u0144 University of Technology","ror":"https://ror.org/00p7p3302","country_code":"PL","type":"education","lineage":["https://openalex.org/I46597724"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Tomasz P. Pawlak","raw_affiliation_strings":["Institute of Computing Science, Poznan University of Technology, Poznan, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Computing Science, Poznan University of Technology, Poznan, Poland","institution_ids":["https://openalex.org/I46597724"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034406933","display_name":"Krzysztof Krawiec","orcid":"https://orcid.org/0000-0001-5439-3231"},"institutions":[{"id":"https://openalex.org/I46597724","display_name":"Pozna\u0144 University of Technology","ror":"https://ror.org/00p7p3302","country_code":"PL","type":"education","lineage":["https://openalex.org/I46597724"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Krzysztof Krawiec","raw_affiliation_strings":["Institute of Computing Science, Poznan University of Technology, Poznan, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Computing Science, Poznan University of Technology, Poznan, Poland","institution_ids":["https://openalex.org/I46597724"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079242784"],"corresponding_institution_ids":["https://openalex.org/I46597724"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":4.3144,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.94894039,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"17","issue":"1","first_page":"5","last_page":"23"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11975","display_name":"Evolutionary Algorithms and Applications","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10878","display_name":"CRISPR and Genetic Engineering","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7061237096786499},{"id":"https://openalex.org/keywords/genetic-programming","display_name":"Genetic programming","score":0.4996013641357422},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.479495108127594},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4618223309516907},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.4551245868206024},{"id":"https://openalex.org/keywords/minkowski-space","display_name":"Minkowski space","score":0.45222172141075134},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30212175846099854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2882383465766907},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07748007774353027}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7061237096786499},{"id":"https://openalex.org/C110332635","wikidata":"https://www.wikidata.org/wiki/Q629498","display_name":"Genetic programming","level":2,"score":0.4996013641357422},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.479495108127594},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4618223309516907},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.4551245868206024},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.45222172141075134},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30212175846099854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2882383465766907},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07748007774353027},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10710-015-9252-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10710-015-9252-6","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs10710-015-9252-6.pdf","source":{"id":"https://openalex.org/S47930974","display_name":"Genetic Programming and Evolvable Machines","issn_l":"1389-2576","issn":["1389-2576","1573-7632"],"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":"Genetic Programming and Evolvable Machines","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10710-015-9252-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10710-015-9252-6","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs10710-015-9252-6.pdf","source":{"id":"https://openalex.org/S47930974","display_name":"Genetic Programming and Evolvable Machines","issn_l":"1389-2576","issn":["1389-2576","1573-7632"],"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":"Genetic Programming and Evolvable Machines","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.8399999737739563,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G7796491340","display_name":null,"funder_award_id":"2014/15/B/ST6/05205","funder_id":"https://openalex.org/F4320322511","funder_display_name":"Narodowe Centrum Nauki"}],"funders":[{"id":"https://openalex.org/F4320322511","display_name":"Narodowe Centrum Nauki","ror":"https://ror.org/03ha2q922"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2292253457.pdf","grobid_xml":"https://content.openalex.org/works/W2292253457.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W102043130","https://openalex.org/W278743092","https://openalex.org/W313306806","https://openalex.org/W1278605765","https://openalex.org/W1505743939","https://openalex.org/W1603994895","https://openalex.org/W1795093649","https://openalex.org/W1969232932","https://openalex.org/W1970404859","https://openalex.org/W1985901961","https://openalex.org/W1988362374","https://openalex.org/W1990012648","https://openalex.org/W2006799226","https://openalex.org/W2010615382","https://openalex.org/W2016257526","https://openalex.org/W2041192064","https://openalex.org/W2048305092","https://openalex.org/W2049889904","https://openalex.org/W2053987102","https://openalex.org/W2061011797","https://openalex.org/W2076402663","https://openalex.org/W2125923653","https://openalex.org/W2127503687","https://openalex.org/W2164305954","https://openalex.org/W2168049970","https://openalex.org/W2172117040","https://openalex.org/W2184981000","https://openalex.org/W2214790688","https://openalex.org/W2225985016"],"related_works":["https://openalex.org/W2083923608","https://openalex.org/W4384919562","https://openalex.org/W4226024638","https://openalex.org/W2482240325","https://openalex.org/W4294294347","https://openalex.org/W2279239548","https://openalex.org/W115379796","https://openalex.org/W63976795","https://openalex.org/W2404658402","https://openalex.org/W2610298398"],"abstract_inverted_index":{"Metrics":[0],"are":[1,41,139],"essential":[2],"for":[3,123],"geometric":[4,21,73],"semantic":[5,14,74],"genetic":[6],"programming.":[7],"On":[8],"one":[9],"hand,":[10],"they":[11,27],"structure":[12],"the":[13,18,25,69,134],"space":[15],"and":[16,58,91,97,118,120,147],"govern":[17],"behavior":[19],"of":[20,39,68,71,80,86,98,113,136,144],"search":[22,75,99],"operators;":[23],"on":[24,105],"other,":[26],"determine":[28,133],"how":[29],"fitness":[30,95,106],"is":[31],"calculated.":[32],"The":[33,128],"interactions":[34,57],"between":[35],"these":[36,56],"two":[37],"types":[38,112],"metrics":[40,79,88,137],"an":[42],"important":[43],"aspect":[44],"that":[45,138],"to":[46,132],"date":[47],"was":[48],"largely":[49],"neglected.":[50],"In":[51],"this":[52],"paper,":[53],"we":[54,101],"investigate":[55],"analyze":[59],"their":[60],"consequences.":[61],"We":[62,108],"provide":[63],"a":[64],"systematic":[65],"theoretical":[66],"analysis":[67,129],"properties":[70,115,146],"abstract":[72],"operators":[76,124],"under":[77,125],"Minkowski":[78],"arbitrary":[81],"order.":[82],"For":[83],"nine":[84],"combinations":[85,135],"popular":[87],"(city-block,":[89],"Euclidean,":[90],"Chebyshev)":[92],"used":[93],"in":[94,142],"functions":[96],"operators,":[100],"derive":[102],"pessimistic":[103],"bounds":[104],"change.":[107],"also":[109],"define":[110],"three":[111],"progress":[114,145],"(weak,":[116],"potential,":[117],"strong)":[119],"verify":[121],"them":[122],"those":[126],"metrics.":[127],"allows":[130],"us":[131],"most":[140],"attractive":[141],"terms":[143],"deterioration":[148],"bounds.":[149]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
