{"id":"https://openalex.org/W7129402352","doi":"https://doi.org/10.1007/s00453-026-01373-9","title":"Convex relaxation for the generalized maximum-entropy sampling problem","display_name":"Convex relaxation for the generalized maximum-entropy sampling problem","publication_year":2026,"publication_date":"2026-02-17","ids":{"openalex":"https://openalex.org/W7129402352","doi":"https://doi.org/10.1007/s00453-026-01373-9"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-026-01373-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-026-01373-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-026-01373-9.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","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/s00453-026-01373-9.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043475119","display_name":"Gabriel Ponte","orcid":"https://orcid.org/0000-0002-8878-6647"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gabriel Ponte","raw_affiliation_strings":["University of Michigan, Ann Arbor, United States"],"raw_orcid":"https://orcid.org/0000-0002-8878-6647","affiliations":[{"raw_affiliation_string":"University of Michigan, Ann Arbor, United States","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026754999","display_name":"Marcia Fampa","orcid":"https://orcid.org/0000-0002-6254-1510"},"institutions":[{"id":"https://openalex.org/I122140584","display_name":"Universidade Federal do Rio de Janeiro","ror":"https://ror.org/03490as77","country_code":"BR","type":"education","lineage":["https://openalex.org/I122140584"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Marcia Fampa","raw_affiliation_strings":["Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-6254-1510","affiliations":[{"raw_affiliation_string":"Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I122140584"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5126214984","display_name":"Jon Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jon Lee","raw_affiliation_strings":["University of Michigan, Ann Arbor, United States"],"raw_orcid":"https://orcid.org/0000-0002-8190-1091","affiliations":[{"raw_affiliation_string":"University of Michigan, Ann Arbor, United States","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5126214984"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.37136886,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"88","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.48489999771118164,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.48489999771118164,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.0892999991774559,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.03869999945163727,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/context","display_name":"Context (archaeology)","score":0.5605000257492065},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5544000267982483},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5422999858856201},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5022000074386597},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.5022000074386597},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4708999991416931},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.45829999446868896},{"id":"https://openalex.org/keywords/principal-component-analysis","display_name":"Principal component analysis","score":0.44449999928474426},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.44130000472068787}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7172999978065491},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5605000257492065},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5544000267982483},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5422999858856201},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.5022000074386597},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5022000074386597},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4855000078678131},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4708999991416931},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.45829999446868896},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.44449999928474426},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.44130000472068787},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.43860000371932983},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4268999993801117},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.3513999879360199},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35100001096725464},{"id":"https://openalex.org/C2985880046","wikidata":"https://www.wikidata.org/wiki/Q7410168","display_name":"Sampling theory","level":3,"score":0.3368000090122223},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.31439998745918274},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.30390000343322754},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.2953999936580658},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.29269999265670776},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2913999855518341},{"id":"https://openalex.org/C144559511","wikidata":"https://www.wikidata.org/wiki/Q2986279","display_name":"Principal (computer security)","level":2,"score":0.27959999442100525},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.2752000093460083},{"id":"https://openalex.org/C2779190172","wikidata":"https://www.wikidata.org/wiki/Q4913888","display_name":"Binary data","level":3,"score":0.25929999351501465},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.2583000063896179},{"id":"https://openalex.org/C2780554755","wikidata":"https://www.wikidata.org/wiki/Q955260","display_name":"Relaxation technique","level":3,"score":0.25690001249313354},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25519999861717224},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.25290000438690186},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.25060001015663147},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.25029999017715454}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00453-026-01373-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-026-01373-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-026-01373-9.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00453-026-01373-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-026-01373-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-026-01373-9.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G3600276436","display_name":null,"funder_award_id":"161501/2022-2","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G4542821744","display_name":null,"funder_award_id":"FA9550-22-1-0172","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G5809100787","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7129402352.pdf","grobid_xml":"https://content.openalex.org/works/W7129402352.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1539649017","https://openalex.org/W1620167609","https://openalex.org/W1988873040","https://openalex.org/W1995875735","https://openalex.org/W1996992098","https://openalex.org/W2000646287","https://openalex.org/W2005126631","https://openalex.org/W2011141103","https://openalex.org/W2021674665","https://openalex.org/W2095211439","https://openalex.org/W2098642746","https://openalex.org/W2150615968","https://openalex.org/W2151568819","https://openalex.org/W2152059998","https://openalex.org/W2295124130","https://openalex.org/W2798425997","https://openalex.org/W2801755592","https://openalex.org/W2803769118","https://openalex.org/W2915516423","https://openalex.org/W2964269311","https://openalex.org/W3087033868","https://openalex.org/W3120493071","https://openalex.org/W4312668200","https://openalex.org/W4317041906","https://openalex.org/W4381281977","https://openalex.org/W4386068649","https://openalex.org/W4399866821","https://openalex.org/W4408411455"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"The":[1],"generalized":[2],"maximum-entropy":[3,66],"sampling":[4,67],"problem":[5,68,85],"(GMESP)":[6],"is":[7,53,127,139],"to":[8,21,108],"select":[9],"an":[10,16,109,125],"order-":[11,17],"s":[12,31],"principal":[13,90],"submatrix":[14],"from":[15],"n":[18],"covariance":[19],"matrix,":[20],"maximize":[22],"the":[23,75,87,96],"product":[24],"of":[25,57,89],"its":[26,104,115],"t":[27],"greatest":[28],"eigenvalues,":[29],"$$0&lt;t\\le":[30],"&lt;n$$":[32],"<mml:math":[33,131],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[34,132],"<mml:mrow>":[35,133],"<mml:mn>0</mml:mn>":[36],"<mml:mo>&lt;</mml:mo>":[37,41],"<mml:mi>t</mml:mi>":[38,136],"<mml:mo>\u2264</mml:mo>":[39],"<mml:mi>s</mml:mi>":[40,134],"<mml:mi>n</mml:mi>":[42],"</mml:mrow>":[43,137],"</mml:math>":[44,138],".":[45],"Introduced":[46],"more":[47],"than":[48],"25":[49],"years":[50],"ago,":[51],"GMESP":[52],"a":[54,83,118],"natural":[55],"generalization":[56],"two":[58],"fundamental":[59],"problems":[60],"in":[61,86,117],"statistical":[62],"design":[63],"theory:":[64],"(i)":[65],"(MESP);":[69],"(ii)":[70],"binary":[71],"D-optimality":[72],"(D-Opt).":[73],"In":[74],"general":[76],"case,":[77],"it":[78,107],"can":[79],"be":[80],"motivated":[81],"by":[82],"selection":[84],"context":[88],"component":[91],"analysis":[92],"(PCA).":[93],"We":[94,121],"introduce":[95],"first":[97],"convex-optimization":[98],"based":[99],"relaxation":[100],"for":[101],"GMESP,":[102],"study":[103],"behavior,":[105],"compare":[106],"earlier":[110],"spectral":[111],"bound,":[112],"and":[113],"demonstrate":[114],"use":[116],"branch-and-bound":[119],"scheme.":[120],"find":[122],"that":[123],"such":[124],"approach":[126],"practical":[128],"when":[129],"$$s-t$$":[130],"<mml:mo>-</mml:mo>":[135],"very":[140],"small.":[141]},"counts_by_year":[],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2026-02-07T00:00:00"}