{"id":"https://openalex.org/W4400974022","doi":"https://doi.org/10.3390/e26080628","title":"Robust Support Vector Data Description with Truncated Loss Function for Outliers Depression","display_name":"Robust Support Vector Data Description with Truncated Loss Function for Outliers Depression","publication_year":2024,"publication_date":"2024-07-25","ids":{"openalex":"https://openalex.org/W4400974022","doi":"https://doi.org/10.3390/e26080628","pmid":"https://pubmed.ncbi.nlm.nih.gov/39202098"},"language":"en","primary_location":{"id":"doi:10.3390/e26080628","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e26080628","pdf_url":"https://www.mdpi.com/1099-4300/26/8/628/pdf?version=1721919851","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/26/8/628/pdf?version=1721919851","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082042047","display_name":"Huakun Chen","orcid":"https://orcid.org/0000-0002-9184-9493"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huakun Chen","raw_affiliation_strings":["Department of Automatic Control, Northwestern Polytechnical University, Xi\u2019an 710072, China","Department of Automatic Control, Northwestern Polytechnical University, Xi'an 710072, China"],"raw_orcid":"https://orcid.org/0000-0002-9184-9493","affiliations":[{"raw_affiliation_string":"Department of Automatic Control, Northwestern Polytechnical University, Xi\u2019an 710072, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Department of Automatic Control, Northwestern Polytechnical University, Xi'an 710072, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085401171","display_name":"Yongxi Lyu","orcid":"https://orcid.org/0000-0001-8912-3418"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yongxi Lyu","raw_affiliation_strings":["Department of Automatic Control, Northwestern Polytechnical University, Xi\u2019an 710072, China","Department of Automatic Control, Northwestern Polytechnical University, Xi'an 710072, China"],"raw_orcid":"https://orcid.org/0000-0001-8912-3418","affiliations":[{"raw_affiliation_string":"Department of Automatic Control, Northwestern Polytechnical University, Xi\u2019an 710072, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Department of Automatic Control, Northwestern Polytechnical University, Xi'an 710072, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075940752","display_name":"Jingping Shi","orcid":"https://orcid.org/0000-0001-5700-2638"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingping Shi","raw_affiliation_strings":["Department of Automatic Control, Northwestern Polytechnical University, Xi\u2019an 710072, China","Department of Automatic Control, Northwestern Polytechnical University, Xi'an 710072, China"],"raw_orcid":"https://orcid.org/0000-0001-5700-2638","affiliations":[{"raw_affiliation_string":"Department of Automatic Control, Northwestern Polytechnical University, Xi\u2019an 710072, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Department of Automatic Control, Northwestern Polytechnical University, Xi'an 710072, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100381054","display_name":"Weiguo Zhang","orcid":"https://orcid.org/0000-0002-8393-3185"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weiguo Zhang","raw_affiliation_strings":["Department of Automatic Control, Northwestern Polytechnical University, Xi\u2019an 710072, China","Department of Automatic Control, Northwestern Polytechnical University, Xi'an 710072, China"],"raw_orcid":"https://orcid.org/0000-0002-8393-3185","affiliations":[{"raw_affiliation_string":"Department of Automatic Control, Northwestern Polytechnical University, Xi\u2019an 710072, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Department of Automatic Control, Northwestern Polytechnical University, Xi'an 710072, China","institution_ids":["https://openalex.org/I17145004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5085401171"],"corresponding_institution_ids":["https://openalex.org/I17145004"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09187146,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"26","issue":"8","first_page":"628","last_page":"628"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11512","display_name":"Anomaly Detection Techniques and Applications","score":0.9998000264167786,"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/T11512","display_name":"Anomaly Detection Techniques and Applications","score":0.9998000264167786,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.989799976348877,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.7804427742958069},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.7665860652923584},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7100731730461121},{"id":"https://openalex.org/keywords/anomaly-detection","display_name":"Anomaly detection","score":0.5387279987335205},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5313556790351868},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4752735197544098},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4286094009876251},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.42673471570014954},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4116200804710388},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.40898704528808594},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4087268114089966},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.39639168977737427},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.36679375171661377}],"concepts":[{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.7804427742958069},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.7665860652923584},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7100731730461121},{"id":"https://openalex.org/C739882","wikidata":"https://www.wikidata.org/wiki/Q3560506","display_name":"Anomaly detection","level":2,"score":0.5387279987335205},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5313556790351868},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4752735197544098},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4286094009876251},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.42673471570014954},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4116200804710388},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.40898704528808594},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4087268114089966},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.39639168977737427},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.36679375171661377},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e26080628","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e26080628","pdf_url":"https://www.mdpi.com/1099-4300/26/8/628/pdf?version=1721919851","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},{"id":"pmid:39202098","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/39202098","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":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:11353480","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11353480","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11353480/pdf/entropy-26-00628.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:a5724fafae2a460dabebf0c43e075fcb","is_oa":true,"landing_page_url":"https://doaj.org/article/a5724fafae2a460dabebf0c43e075fcb","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":"Entropy, Vol 26, Iss 8, p 628 (2024)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/26/8/628/","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26080628","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e26080628","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e26080628","pdf_url":"https://www.mdpi.com/1099-4300/26/8/628/pdf?version=1721919851","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1587926284","display_name":null,"funder_award_id":"2023-JC-YB-526","funder_id":"https://openalex.org/F4320324173","funder_display_name":"Natural Science Foundation of Shaanxi Province"},{"id":"https://openalex.org/G4177315642","display_name":null,"funder_award_id":"20220058053002","funder_id":"https://openalex.org/F4320327472","funder_display_name":"Chinese Aeronautical Establishment"},{"id":"https://openalex.org/G4629090610","display_name":null,"funder_award_id":"62373301 and 62173277","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4685591853","display_name":null,"funder_award_id":"62173277","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5431556277","display_name":null,"funder_award_id":"62373301","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5611294059","display_name":null,"funder_award_id":"62173277","funder_id":"https://openalex.org/F4320329787","funder_display_name":"Shaanxi Key Laboratory of Flight Control and Simulation Technology"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324173","display_name":"Natural Science Foundation of Shaanxi Province","ror":null},{"id":"https://openalex.org/F4320327472","display_name":"Chinese Aeronautical Establishment","ror":null},{"id":"https://openalex.org/F4320329787","display_name":"Shaanxi Key Laboratory of Flight Control and Simulation Technology","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400974022.pdf"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W65148603","https://openalex.org/W1540155273","https://openalex.org/W1659613497","https://openalex.org/W1970088130","https://openalex.org/W2013189015","https://openalex.org/W2038869416","https://openalex.org/W2115627867","https://openalex.org/W2122646361","https://openalex.org/W2141270971","https://openalex.org/W2142047467","https://openalex.org/W2145598948","https://openalex.org/W2154231875","https://openalex.org/W2166765763","https://openalex.org/W2281466869","https://openalex.org/W2318232992","https://openalex.org/W2518225643","https://openalex.org/W2556907180","https://openalex.org/W2622096499","https://openalex.org/W2784638391","https://openalex.org/W2794270895","https://openalex.org/W2809211248","https://openalex.org/W2883043384","https://openalex.org/W2890282059","https://openalex.org/W2964833278","https://openalex.org/W2990350815","https://openalex.org/W2998506103","https://openalex.org/W3006828395","https://openalex.org/W3010795489","https://openalex.org/W3043609702","https://openalex.org/W3083291669","https://openalex.org/W3087895519","https://openalex.org/W3088499671","https://openalex.org/W3104422614","https://openalex.org/W3128663579","https://openalex.org/W3170770017","https://openalex.org/W3216639497","https://openalex.org/W4205631368","https://openalex.org/W4210941564","https://openalex.org/W4226236965","https://openalex.org/W4254182148","https://openalex.org/W4295093089","https://openalex.org/W4297799358","https://openalex.org/W4327963021","https://openalex.org/W4376130289","https://openalex.org/W6638684992"],"related_works":["https://openalex.org/W3162204513","https://openalex.org/W3006513224","https://openalex.org/W2046456988","https://openalex.org/W2090763504","https://openalex.org/W2499612753","https://openalex.org/W3111802945","https://openalex.org/W2946096271","https://openalex.org/W2295423552","https://openalex.org/W1598471830","https://openalex.org/W3107369729"],"abstract_inverted_index":{"Support":[0],"vector":[1],"data":[2,26,120],"description":[3],"(SVDD)":[4],"is":[5,76],"widely":[6],"regarded":[7],"as":[8],"an":[9],"effective":[10],"technique":[11],"for":[12,98],"addressing":[13],"anomaly":[14],"detection":[15],"problems.":[16],"However,":[17],"its":[18,49],"performance":[19],"can":[20],"significantly":[21],"deteriorate":[22],"when":[23],"the":[24,44,53,69,72,84,111],"training":[25],"are":[27],"affected":[28],"by":[29],"outliers":[30],"or":[31],"mislabeled":[32],"observations.":[33],"This":[34],"study":[35],"introduces":[36],"a":[37],"universal":[38],"truncated":[39,65,85,88,93],"loss":[40,66,96],"function":[41],"framework":[42],"into":[43],"SVDD":[45,116,135],"model":[46],"to":[47,62,109,133],"enhance":[48],"robustness":[50,128],"and":[51,92,106,129],"employs":[52],"fast":[54,73],"alternating":[55],"direction":[56],"method":[57],"of":[58,71,113],"multipliers":[59],"(ADMM)":[60],"algorithm":[61,75],"solve":[63],"various":[64],"functions.":[67],"Moreover,":[68],"convergence":[70],"ADMM":[74],"analyzed":[77],"theoretically.":[78],"Within":[79],"this":[80],"framework,":[81],"we":[82],"developed":[83],"generalized":[86],"ramp,":[87],"binary":[89],"cross":[90],"entropy,":[91],"linear":[94],"exponential":[95],"functions":[97],"SVDD.":[99],"We":[100],"conducted":[101],"extensive":[102],"experiments":[103],"on":[104],"synthetic":[105],"real-world":[107],"datasets":[108],"validate":[110],"effectiveness":[112],"these":[114],"three":[115],"models":[117],"in":[118],"handling":[119],"with":[121],"different":[122],"noise":[123],"levels,":[124],"demonstrating":[125],"their":[126],"superior":[127],"generalization":[130],"capabilities":[131],"compared":[132],"other":[134],"models.":[136]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}