{"id":"https://openalex.org/W4412480989","doi":"https://doi.org/10.3390/axioms14070537","title":"Modal Regression Estimation by Local Linear Approach in High-Dimensional Data Case","display_name":"Modal Regression Estimation by Local Linear Approach in High-Dimensional Data Case","publication_year":2025,"publication_date":"2025-07-16","ids":{"openalex":"https://openalex.org/W4412480989","doi":"https://doi.org/10.3390/axioms14070537"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14070537","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14070537","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/axioms14070537","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019253093","display_name":"Fatimah A. Almulhim","orcid":"https://orcid.org/0000-0001-9198-4903"},"institutions":[{"id":"https://openalex.org/I106778892","display_name":"Princess Nourah bint Abdulrahman University","ror":"https://ror.org/05b0cyh02","country_code":"SA","type":"education","lineage":["https://openalex.org/I106778892"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Fatimah A. Almulhim","raw_affiliation_strings":["Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-9198-4903","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia","institution_ids":["https://openalex.org/I106778892"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5095697977","display_name":"Mohammed B. Alamari","orcid":"https://orcid.org/0009-0009-3860-6917"},"institutions":[{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Mohammed B. Alamari","raw_affiliation_strings":["Department of Mathematics, College of Science, King Khalid University, Abha 62223, Saudi Arabia"],"raw_orcid":"https://orcid.org/0009-0009-3860-6917","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, King Khalid University, Abha 62223, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051329139","display_name":"Ali Laksaci","orcid":"https://orcid.org/0000-0001-6527-5783"},"institutions":[{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Ali Laksaci","raw_affiliation_strings":["Department of Mathematics, College of Science, King Khalid University, Abha 62223, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-6527-5783","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, King Khalid University, Abha 62223, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014732531","display_name":"Zoulikha Kaid","orcid":"https://orcid.org/0000-0002-9684-1589"},"institutions":[{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Zoulikha Kaid","raw_affiliation_strings":["Department of Mathematics, College of Science, King Khalid University, Abha 62223, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-9684-1589","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, King Khalid University, Abha 62223, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5095697977"],"corresponding_institution_ids":["https://openalex.org/I82952536"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":4.1329,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.93965481,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"14","issue":"7","first_page":"537","last_page":"537"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9470999836921692,"subfield":{"id":"https://openalex.org/subfields/1602","display_name":"Analytical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.6301596164703369},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.6007196307182312},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.5184866786003113},{"id":"https://openalex.org/keywords/linear-regression","display_name":"Linear regression","score":0.5135846138000488},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4551352262496948},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.45452773571014404},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3470226228237152},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.33886659145355225},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14235571026802063},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.09109991788864136}],"concepts":[{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.6301596164703369},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.6007196307182312},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.5184866786003113},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.5135846138000488},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4551352262496948},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.45452773571014404},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3470226228237152},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.33886659145355225},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14235571026802063},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.09109991788864136},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14070537","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14070537","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:8938032a6dbd4a14970d6cb20e460ba0","is_oa":true,"landing_page_url":"https://doaj.org/article/8938032a6dbd4a14970d6cb20e460ba0","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 7, p 537 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14070537","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14070537","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6670997898","display_name":null,"funder_award_id":"RGP1/41/46","funder_id":"https://openalex.org/F4320324433","funder_display_name":"King Khalid University"},{"id":"https://openalex.org/G6920615770","display_name":null,"funder_award_id":"PNURSP2025R515","funder_id":"https://openalex.org/F4320324433","funder_display_name":"King Khalid University"}],"funders":[{"id":"https://openalex.org/F4320324433","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W138752813","https://openalex.org/W1970373675","https://openalex.org/W1998339796","https://openalex.org/W2003884522","https://openalex.org/W2003941523","https://openalex.org/W2024365774","https://openalex.org/W2024657661","https://openalex.org/W2024756225","https://openalex.org/W2031549309","https://openalex.org/W2037272034","https://openalex.org/W2047491707","https://openalex.org/W2059080942","https://openalex.org/W2059507684","https://openalex.org/W2061899667","https://openalex.org/W2081245850","https://openalex.org/W2084479909","https://openalex.org/W2087199327","https://openalex.org/W2090034264","https://openalex.org/W2109564615","https://openalex.org/W2116968695","https://openalex.org/W2493738488","https://openalex.org/W2526282605","https://openalex.org/W2768953469","https://openalex.org/W2810702403","https://openalex.org/W2963653783","https://openalex.org/W2976777281","https://openalex.org/W3044420422","https://openalex.org/W3049821016","https://openalex.org/W3127782619","https://openalex.org/W3213766112","https://openalex.org/W4213213494","https://openalex.org/W4292156489","https://openalex.org/W4293446439","https://openalex.org/W4366660248","https://openalex.org/W4384486000","https://openalex.org/W4402160707","https://openalex.org/W4407406708","https://openalex.org/W4407695204","https://openalex.org/W6832574430"],"related_works":["https://openalex.org/W2576994247","https://openalex.org/W2608353378","https://openalex.org/W4249206767","https://openalex.org/W2379392295","https://openalex.org/W3160965418","https://openalex.org/W31220157","https://openalex.org/W2288557197","https://openalex.org/W4233024177","https://openalex.org/W2101914902","https://openalex.org/W3174613421"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"a":[3,21],"new":[4],"nonparametric":[5],"estimator":[6,19,52],"for":[7],"detecting":[8],"the":[9,13,31,35,38,47,51,59,73,77,80,86,89,92,96,100,112],"conditional":[10],"mode":[11],"in":[12,104,121],"functional":[14,74,105],"input":[15],"variable":[16],"setting.":[17],"The":[18,64],"integrates":[20],"local":[22,81],"linear":[23,82],"approach":[24],"with":[25],"an":[26,42],"L1-robust":[27],"algorithm":[28],"and":[29,79,108],"treats":[30],"modal":[32],"regression":[33],"as":[34],"minimizer":[36],"of":[37,50,76,85,91,99],"quantile":[39],"derivative.":[40],"As":[41],"asymptotic":[43],"result,":[44],"we":[45],"derive":[46],"theoretical":[48],"properties":[49,84],"by":[53],"analyzing":[54],"its":[55,116],"convergence":[56,93,102],"rate":[57,94,103],"under":[58,68],"almost":[60],"complete":[61],"consistency":[62],"framework.":[63],"result":[65],"is":[66],"stated":[67],"standard":[69],"conditions,":[70],"characterizing":[71],"both":[72],"structure":[75],"data":[78],"approximation":[83],"model.":[87],"Moreover,":[88],"expression":[90],"retains":[95],"usual":[97],"form":[98],"stochastic":[101],"statistics.":[106],"Simulations":[107],"real-data":[109],"applications":[110],"demonstrate":[111],"algorithm\u2019s":[113],"effectiveness,":[114],"showing":[115],"advantage":[117],"over":[118],"existing":[119],"methods":[120],"high-dimensional":[122],"prediction":[123],"tasks.":[124]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
