{"id":"https://openalex.org/W3146556094","doi":"https://doi.org/10.3934/mfc.2021003","title":"Semi-Supervised classification of hyperspectral images using discrete nonlocal variation Potts Model","display_name":"Semi-Supervised classification of hyperspectral images using discrete nonlocal variation Potts Model","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3146556094","doi":"https://doi.org/10.3934/mfc.2021003","mag":"3146556094"},"language":"en","primary_location":{"id":"doi:10.3934/mfc.2021003","is_oa":true,"landing_page_url":"https://doi.org/10.3934/mfc.2021003","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=9fcf89fa-e82c-454c-b1d0-89166e388f6c","source":{"id":"https://openalex.org/S4210238810","display_name":"Mathematical Foundations of Computing","issn_l":"2577-8838","issn":["2577-8838"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Foundations of Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.aimsciences.org/article/exportPdf?id=9fcf89fa-e82c-454c-b1d0-89166e388f6c","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044344662","display_name":"Linyao Ge","orcid":"https://orcid.org/0000-0002-8473-2529"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Linyao Ge","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059041277","display_name":"Baoxiang Huang","orcid":"https://orcid.org/0000-0002-0380-419X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Baoxiang Huang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021592682","display_name":"Weibo Wei","orcid":"https://orcid.org/0000-0002-9691-109X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Weibo Wei","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5056058837","display_name":"Zhenkuan Pan","orcid":"https://orcid.org/0000-0003-0197-1119"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhenkuan Pan","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":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04499301,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":"2","first_page":"73","last_page":"73"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10689","display_name":"Remote-Sensing Image Classification","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10689","display_name":"Remote-Sensing Image Classification","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/T13890","display_name":"Remote Sensing and Land Use","score":0.9904000163078308,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9801999926567078,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hyperspectral-imaging","display_name":"Hyperspectral imaging","score":0.6441601514816284},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5926886796951294},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.5767948031425476},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5540494322776794},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.5439701676368713},{"id":"https://openalex.org/keywords/potts-model","display_name":"Potts model","score":0.487559974193573},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4771689474582672},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4558474123477936},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.442465215921402},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.4409276247024536},{"id":"https://openalex.org/keywords/convolutional-neural-network","display_name":"Convolutional neural network","score":0.4172355532646179},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.41450440883636475},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39688900113105774}],"concepts":[{"id":"https://openalex.org/C159078339","wikidata":"https://www.wikidata.org/wiki/Q959005","display_name":"Hyperspectral imaging","level":2,"score":0.6441601514816284},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5926886796951294},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.5767948031425476},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5540494322776794},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.5439701676368713},{"id":"https://openalex.org/C98925819","wikidata":"https://www.wikidata.org/wiki/Q7235385","display_name":"Potts model","level":3,"score":0.487559974193573},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4771689474582672},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4558474123477936},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.442465215921402},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.4409276247024536},{"id":"https://openalex.org/C81363708","wikidata":"https://www.wikidata.org/wiki/Q17084460","display_name":"Convolutional neural network","level":2,"score":0.4172355532646179},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.41450440883636475},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39688900113105774},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"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/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/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/mfc.2021003","is_oa":true,"landing_page_url":"https://doi.org/10.3934/mfc.2021003","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=9fcf89fa-e82c-454c-b1d0-89166e388f6c","source":{"id":"https://openalex.org/S4210238810","display_name":"Mathematical Foundations of Computing","issn_l":"2577-8838","issn":["2577-8838"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Foundations of Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3934/mfc.2021003","is_oa":true,"landing_page_url":"https://doi.org/10.3934/mfc.2021003","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=9fcf89fa-e82c-454c-b1d0-89166e388f6c","source":{"id":"https://openalex.org/S4210238810","display_name":"Mathematical Foundations of Computing","issn_l":"2577-8838","issn":["2577-8838"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Foundations of Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1521436688","https://openalex.org/W1532610010","https://openalex.org/W2003063671","https://openalex.org/W2007680066","https://openalex.org/W2013251902","https://openalex.org/W2021080560","https://openalex.org/W2042226984","https://openalex.org/W2060945009","https://openalex.org/W2076261573","https://openalex.org/W2080328916","https://openalex.org/W2087347434","https://openalex.org/W2097900616","https://openalex.org/W2104269704","https://openalex.org/W2113236250","https://openalex.org/W2114487471","https://openalex.org/W2136251662","https://openalex.org/W2136396015","https://openalex.org/W2144966944","https://openalex.org/W2153747028","https://openalex.org/W2157621128","https://openalex.org/W2159793005","https://openalex.org/W2164330327","https://openalex.org/W2169898291","https://openalex.org/W2221243399","https://openalex.org/W2319987876","https://openalex.org/W2342626288","https://openalex.org/W2344446275","https://openalex.org/W2386577503","https://openalex.org/W2581139755","https://openalex.org/W2625114654","https://openalex.org/W2793941577","https://openalex.org/W2919115771","https://openalex.org/W3099394812","https://openalex.org/W3113300828","https://openalex.org/W4213365196","https://openalex.org/W4248253651","https://openalex.org/W4249970585","https://openalex.org/W4288400169"],"related_works":["https://openalex.org/W3034655717","https://openalex.org/W4285503465","https://openalex.org/W2051197289","https://openalex.org/W3208266890","https://openalex.org/W2783789044","https://openalex.org/W3211035526","https://openalex.org/W2996933976","https://openalex.org/W2380707792","https://openalex.org/W4312565770","https://openalex.org/W3193301557"],"abstract_inverted_index":{"The":[0,41,76,149],"classification":[1,18,114],"of":[2,47,82,101,110,121],"Hyperspectral":[3],"Image":[4],"(HSI)":[5],"plays":[6],"an":[7],"important":[8],"role":[9],"in":[10,19,38,50,62,70,170],"various":[11],"fields.":[12],"To":[13],"achieve":[14,93],"more":[15,167,180],"precise":[16],"multi-target":[17],"a":[20,23,51,99,119,171],"short":[21],"time,":[22,173],"method":[24,109,157],"for":[25],"combining":[26],"discrete":[27],"non-local":[28],"theory":[29],"with":[30,129,179],"traditional":[31],"variable":[32],"fraction":[33],"Potts":[34],"models":[35],"is":[36,90,116,158],"presented":[37],"this":[39],"paper.":[40],"nonlocal":[42],"operator":[43],"makes":[44],"better":[45],"use":[46],"the":[48,60,63,80,106,112,155],"information":[49],"certain":[52],"region":[53],"centered":[54],"on":[55,142],"that":[56,67,88,154],"pixel.":[57],"Meanwhile,":[58],"adding":[59],"constraint":[61],"model":[64,78,115],"can":[65,165],"ensure":[66],"every":[68],"pixel":[69],"HSI":[71,146],"has":[72,79],"only":[73],"one":[74],"class.":[75],"proposed":[77,113,156],"characteristics":[81],"non-convex,":[83],"nonlinear,":[84],"and":[85,104,137,160,162],"non-smooth":[86],"so":[87],"it":[89],"difficult":[91],"to":[92],"global":[94],"optimization":[95],"results.":[96],"By":[97],"introducing":[98],"series":[100,120],"auxiliary":[102],"variables":[103],"using":[105],"alternating":[107],"direction":[108],"multipliers,":[111],"transformed":[117],"into":[118],"convex":[122],"subproblems.":[123],"Finally,":[124],"we":[125],"conducted":[126],"comparison":[127],"experiments":[128],"support":[130],"vector":[131],"machine":[132],"(SVM),":[133],"K-nearest":[134],"neighbor":[135],"(KNN),":[136],"convolutional":[138],"neural":[139],"network":[140],"(CNN)":[141],"five":[143],"different":[144],"dimensional":[145],"data":[147,177],"sets.":[148],"numerical":[150],"results":[151],"further":[152],"illustrate":[153],"stable":[159],"efficient":[161],"our":[163],"algorithm":[164],"get":[166],"accurate":[168],"predictions":[169],"shorter":[172],"especially":[174],"when":[175],"classifying":[176],"sets":[178],"spectral":[181],"layers.":[182]},"counts_by_year":[],"updated_date":"2026-05-19T21:40:30.786675","created_date":"2025-10-10T00:00:00"}
