{"id":"https://openalex.org/W2770538436","doi":"https://doi.org/10.1109/geoinformatics.2017.8090912","title":"A geocomputation and geovisualization comparison of Moran and Geary eigenvector spatial filtering","display_name":"A geocomputation and geovisualization comparison of Moran and Geary eigenvector spatial filtering","publication_year":2017,"publication_date":"2017-08-01","ids":{"openalex":"https://openalex.org/W2770538436","doi":"https://doi.org/10.1109/geoinformatics.2017.8090912","mag":"2770538436"},"language":"en","primary_location":{"id":"doi:10.1109/geoinformatics.2017.8090912","is_oa":false,"landing_page_url":"https://doi.org/10.1109/geoinformatics.2017.8090912","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 25th International Conference on Geoinformatics","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047557932","display_name":"Daniel A. Griffith","orcid":"https://orcid.org/0000-0001-5125-6450"},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Daniel A. Griffith","raw_affiliation_strings":["School of Economic, Political, and Policy Sciences, University of Texas at Dallas, Richardson, TX, USA"],"affiliations":[{"raw_affiliation_string":"School of Economic, Political, and Policy Sciences, University of Texas at Dallas, Richardson, TX, USA","institution_ids":["https://openalex.org/I162577319"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100365137","display_name":"Bin Li","orcid":"https://orcid.org/0000-0002-0624-9128"},"institutions":[{"id":"https://openalex.org/I1629065","display_name":"Central Michigan University","ror":"https://ror.org/02xawj266","country_code":"US","type":"education","lineage":["https://openalex.org/I1629065"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bin Li","raw_affiliation_strings":["Department of Geography, Central Michigan University, Mt. Pleasant, MI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Geography, Central Michigan University, Mt. Pleasant, MI, USA","institution_ids":["https://openalex.org/I1629065"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047557932"],"corresponding_institution_ids":["https://openalex.org/I162577319"],"apc_list":null,"apc_paid":null,"fwci":1.1386,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.90263674,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11911","display_name":"Spatial and Panel Data Analysis","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11911","display_name":"Spatial and Panel Data Analysis","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T14051","display_name":"Regional Economic and Spatial Analysis","score":0.9822999835014343,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11014","display_name":"Regional Economics and Spatial Analysis","score":0.9550999999046326,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7807707786560059},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5362452864646912},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.511424720287323},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.489065021276474},{"id":"https://openalex.org/keywords/spatial-analysis","display_name":"Spatial analysis","score":0.44570010900497437},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.44319772720336914},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.4340100586414337},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4136931896209717},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40916454792022705},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36661988496780396},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34660136699676514},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32005396485328674},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.27544480562210083},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22715595364570618},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09038642048835754},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0833565890789032}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7807707786560059},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5362452864646912},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.511424720287323},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.489065021276474},{"id":"https://openalex.org/C159620131","wikidata":"https://www.wikidata.org/wiki/Q1938983","display_name":"Spatial analysis","level":2,"score":0.44570010900497437},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.44319772720336914},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.4340100586414337},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4136931896209717},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40916454792022705},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36661988496780396},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34660136699676514},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32005396485328674},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.27544480562210083},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22715595364570618},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09038642048835754},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0833565890789032},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/geoinformatics.2017.8090912","is_oa":false,"landing_page_url":"https://doi.org/10.1109/geoinformatics.2017.8090912","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 25th International Conference on Geoinformatics","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W110918106","https://openalex.org/W1977495787","https://openalex.org/W2041900796","https://openalex.org/W2238157891","https://openalex.org/W2399767476","https://openalex.org/W2905290611","https://openalex.org/W4231583209","https://openalex.org/W6690071654"],"related_works":["https://openalex.org/W2921748058","https://openalex.org/W2570009360","https://openalex.org/W3004345458","https://openalex.org/W2883186538","https://openalex.org/W2051180862","https://openalex.org/W1976439244","https://openalex.org/W2402951419","https://openalex.org/W2896947499","https://openalex.org/W2362501828","https://openalex.org/W4223455993"],"abstract_inverted_index":{"To":[0],"date,":[1],"the":[2,10,20,39,44,69,72,76,81,84,91,95,98,104,117,130,170,175,182,189],"basis":[3],"of":[4,19,38,51,75,90,97,103,121,196],"eigenvector":[5],"spatial":[6,12,52,204],"filtering":[7],"is":[8,17,165,177],"solely":[9],"centered":[11,131],"weights":[13],"matrix":[14,136],"(SWM)":[15],"that":[16,71,188],"part":[18],"Moran":[21],"Coefficient":[22],"(MC).":[23],"The":[24,153,163],"Laplacian":[25,109,135],"matrix,":[26],"<;":[27],"CI":[28],">":[29],"<sub":[30],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[31,87],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">diag</sub>":[32],"-C":[33],"offers":[34],"an":[35],"alternative":[36],"transformation":[37],"SWM,":[40,93],"one":[41],"associated":[42],"with":[43],"Geary":[45],"Ratio":[46],"(GR),":[47],"another":[48],"popular":[49],"measure":[50],"autocorrelation":[53],"(SA).":[54],"This":[55],"paper":[56],"compares":[57],"these":[58],"two":[59],"specifications,":[60],"respectively":[61],"denoted":[62],"by":[63,80],"MCESF":[64,144,176,190],"and":[65,83,106,113,123,133,160,198],"GRESF.":[66],"We":[67,186],"exploit":[68],"properties":[70,120],"extreme":[73],"values":[74],"MC":[77],"are":[78,100],"determined":[79],"second":[82,107],"n":[85],"<sup":[86],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">th</sup>":[88],"eigenvalues":[89],"MC-based":[92,112],"whereas":[94,174],"limits":[96],"GR":[99],"a":[101,139,200],"function":[102],"largest":[105],"smallest":[108],"eigenvalues.":[110],"Both":[111],"GR-based":[114],"eigenvectors":[115],"share":[116],"same":[118],"desirable":[119],"orthogonality":[122],"summing":[124],"to":[125,157,169,181],"zero":[126],"(i.e.,":[127],"uncorrelatedness).":[128],"Because":[129],"SWM":[132,172,184],"its":[134,150],"counterpart":[137],"partition":[138],"given":[140],"SA":[141,148],"space":[142],"differently,":[143],"captures":[145],"more":[146,166,178,193],"positive":[147,159],"than":[149],"GRESF":[151,154,164],"counterpart.":[152],"also":[155],"tends":[156],"confuse":[158],"negative":[161],"SA.":[162],"closely":[167,179],"related":[168],"row-standardized":[171],"W,":[173],"tied":[180],"binary":[183],"C.":[185],"conclude":[187],"should":[191],"furnish":[192],"parsimonious":[194],"representations":[195],"SA,":[197],"hence":[199],"preferred":[201],"technique":[202],"for":[203],"analysis.":[205]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}