{"id":"https://openalex.org/W7154373295","doi":"https://doi.org/10.48550/arxiv.2604.11524","title":"Limited Perfect Monotonical Surrogates constructed using low-cost recursive linkage discovery with guaranteed output","display_name":"Limited Perfect Monotonical Surrogates constructed using low-cost recursive linkage discovery with guaranteed output","publication_year":2026,"publication_date":"2026-04-13","ids":{"openalex":"https://openalex.org/W7154373295","doi":"https://doi.org/10.48550/arxiv.2604.11524"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.11524","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.11524","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.11524","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5133580934","display_name":"M. W. Przewozniczek","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Przewozniczek, M. W.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133576666","display_name":"F. Chicano","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chicano, F.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070652823","display_name":"R. Tin\u00f3s","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tin\u00f3s, R.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5133620754","display_name":"M. M. Komarnicki","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Komarnicki, M. M.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9484000205993652,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9484000205993652,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.0066999997943639755,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.0027000000700354576,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.6687999963760376},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.44449999928474426},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4413999915122986},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.4221999943256378},{"id":"https://openalex.org/keywords/linkage","display_name":"Linkage (software)","score":0.3677999973297119},{"id":"https://openalex.org/keywords/dependency","display_name":"Dependency (UML)","score":0.3547999858856201},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.3547999858856201}],"concepts":[{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.6687999963760376},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5537999868392944},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5264000296592712},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.44449999928474426},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4413999915122986},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.4221999943256378},{"id":"https://openalex.org/C31266012","wikidata":"https://www.wikidata.org/wiki/Q6554340","display_name":"Linkage (software)","level":3,"score":0.3677999973297119},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36340001225471497},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3547999858856201},{"id":"https://openalex.org/C19768560","wikidata":"https://www.wikidata.org/wiki/Q320727","display_name":"Dependency (UML)","level":2,"score":0.3547999858856201},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.3531999886035919},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.3305000066757202},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.329800009727478},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.3061999976634979},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.2759999930858612},{"id":"https://openalex.org/C2777152325","wikidata":"https://www.wikidata.org/wiki/Q108163","display_name":"Proposition","level":2,"score":0.27160000801086426},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.26899999380111694},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.25459998846054077}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.11524","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.11524","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.11524","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.11524","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Surrogates":[0],"provide":[1],"a":[2,54,119,184],"cheap":[3],"solution":[4,73],"evaluation":[5,76],"and":[6,52,109,140,159,177],"offer":[7],"significant":[8],"leverage":[9],"for":[10,64,126],"optimizing":[11],"computationally":[12],"expensive":[13,131],"problems.":[14],"Usually,":[15],"surrogates":[16,26,36,94],"only":[17,154],"approximate":[18],"the":[19,23,32,40,61,67,71,92,99,111,128,145,155,160,167],"original":[20,33,41],"function.":[21,34,42],"Recently,":[22],"perfect":[24],"linear":[25,89],"were":[27],"proposed":[28,136],"that":[29,116],"ideally":[30],"represent":[31],"These":[35],"do":[37],"not":[38,78,85,164],"mimic":[39],"In":[43],"fact,":[44],"they":[45],"are":[46,163],"another":[47],"(correct)":[48],"representation":[49],"of":[50,57,70,113,130],"it":[51,172],"enable":[53],"wide":[55],"range":[56],"possibilities,":[58],"e.g.,":[59],"discovering":[60],"optimized":[62],"function":[63],"problems":[65,83],"where":[66],"direct":[68],"transformation":[69],"encoded":[72],"into":[74],"its":[75],"is":[77,124,138,169],"available.":[79],"However,":[80],"many":[81],"real-world":[82],"can":[84,141],"be":[86,142],"represented":[87],"by":[88,118],"models,":[90],"making":[91],"aforementioned":[93],"inapplicable.":[95],"Therefore,":[96],"we":[97],"propose":[98],"Limited":[100],"Monotonical":[101],"Perfect":[102],"Surrogate":[103],"(LyMPuS),":[104],"which":[105],"overcomes":[106],"this":[107],"difficulty":[108],"enables":[110],"comparison":[112],"two":[114],"solutions":[115],"differ":[117],"single":[120],"variable.":[121],"Our":[122],"proposition":[123],"suitable":[125],"limiting":[127],"cost":[129],"local":[132],"search":[133],"procedures.":[134],"The":[135],"surrogate":[137],"parameterless":[139],"trained":[143],"on":[144],"fly":[146],"without":[147],"any":[148],"separate":[149],"surrogate-building":[150],"step.":[151],"It":[152],"uses":[153],"necessary":[156],"fitness":[157],"evaluations,":[158],"already-paid":[161],"costs":[162],"wasted":[165],"when":[166],"model":[168],"updated.":[170],"Finally,":[171],"offers":[173],"low-cost":[174,178],"missing-linkage":[175],"detection":[176],"linkage":[179],"discovery,":[180],"guaranteed":[181],"to":[182],"find":[183],"missing":[185],"dependency":[186],"in":[187],"no":[188],"more":[189],"than":[190],"$2\\lceil\\log_2(n)\\rceil$":[191],"steps.":[192]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-04-15T00:00:00"}