{"id":"https://openalex.org/W135081964","doi":"https://doi.org/10.17077/etd.wj8x9tak","title":"Bayesian surface smoothing under anisotropy","display_name":"Bayesian surface smoothing under anisotropy","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W135081964","doi":"https://doi.org/10.17077/etd.wj8x9tak","mag":"135081964"},"language":"en","primary_location":{"id":"doi:10.17077/etd.wj8x9tak","doi":"https://doi.org/10.17077/etd.wj8x9tak","is_oa":false,"landing_page_url":"https://doi.org/10.17077/etd.wj8x9tak","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"University of Iowa","raw_type":"dissertation"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://iro.uiowa.edu/view/delivery/01IOWA_INST/12730721560002771/13730828740002771","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113854370","display_name":"Subhashish Chakravarty","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Subhashish Chakravarty","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5113854370"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.8101000189781189,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.8101000189781189,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.10419999808073044,"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/T11911","display_name":"Spatial and Panel Data Analysis","score":0.020999999716877937,"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/anisotropy","display_name":"anisotropy","score":0.921999990940094},{"id":"https://openalex.org/keywords/thin-plate-splines","display_name":"thin-plate splines","score":0.9660000205039978},{"id":"https://openalex.org/keywords/eigenfunctions","display_name":"eigenfunctions","score":0.847000002861023},{"id":"https://openalex.org/keywords/reversible-jump-markov-chain-monte-carlo","display_name":"reversible jump Markov chain Monte Carlo","score":0.9039999842643738},{"id":"https://openalex.org/keywords/model-selection","display_name":"model selection","score":0.9539999961853027},{"id":"https://openalex.org/keywords/smoothing-parameter","display_name":"smoothing parameter","score":0.7149999737739563},{"id":"https://openalex.org/keywords/basis-function-selection","display_name":"basis function selection","score":0.5600000023841858}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.7155864834785461},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.6455062627792358},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.5775428414344788},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.44299063086509705},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3845328986644745},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3711341917514801},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33990317583084106},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.32862478494644165},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31351709365844727},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2906809151172638},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20631125569343567},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12316429615020752},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.11785206198692322}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.17077/etd.wj8x9tak","doi":"https://doi.org/10.17077/etd.wj8x9tak","is_oa":false,"landing_page_url":"https://doi.org/10.17077/etd.wj8x9tak","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"University of Iowa","raw_type":"dissertation"},{"id":"pmh:oai:alma.01IOWA_INST:11730721570002771","doi":null,"is_oa":true,"landing_page_url":"https://iro.uiowa.edu/esploro/outputs/doctoral/Bayesian-surface-smoothing-under-anisotropy/9983777495702771","pdf_url":"https://iro.uiowa.edu/view/delivery/01IOWA_INST/12730721560002771/13730828740002771","source":{"id":"https://openalex.org/S4306401239","display_name":"Iowa Research Online (The University of Iowa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I126307644","host_organization_name":"University of Iowa","host_organization_lineage":["https://openalex.org/I126307644"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Doctoral Thesis"},{"id":"pmh:oai:ir.uiowa.edu:etd-1354","doi":null,"is_oa":false,"landing_page_url":"https://ir.uiowa.edu/cgi/viewcontent.cgi?article=1354&context=etd","pdf_url":null,"source":{"id":"https://openalex.org/S4306401239","display_name":"Iowa Research Online (The University of Iowa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I126307644","host_organization_name":"University of Iowa","host_organization_lineage":["https://openalex.org/I126307644"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theses and Dissertations","raw_type":"dissertation"}],"best_oa_location":{"id":"pmh:oai:alma.01IOWA_INST:11730721570002771","doi":null,"is_oa":true,"landing_page_url":"https://iro.uiowa.edu/esploro/outputs/doctoral/Bayesian-surface-smoothing-under-anisotropy/9983777495702771","pdf_url":"https://iro.uiowa.edu/view/delivery/01IOWA_INST/12730721560002771/13730828740002771","source":{"id":"https://openalex.org/S4306401239","display_name":"Iowa Research Online (The University of Iowa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I126307644","host_organization_name":"University of Iowa","host_organization_lineage":["https://openalex.org/I126307644"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Doctoral Thesis"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W135081964.pdf","grobid_xml":"https://content.openalex.org/works/W135081964.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W61851564","https://openalex.org/W1558421118","https://openalex.org/W1968542453","https://openalex.org/W2002722861","https://openalex.org/W2014059759","https://openalex.org/W2047554048","https://openalex.org/W2056760934","https://openalex.org/W2063188271","https://openalex.org/W2066418022","https://openalex.org/W2082227738","https://openalex.org/W2092015529","https://openalex.org/W2096878708","https://openalex.org/W2106706098","https://openalex.org/W2136796925","https://openalex.org/W2138309709","https://openalex.org/W2140308441","https://openalex.org/W2146766088","https://openalex.org/W2983836991"],"related_works":["https://openalex.org/W6950492934","https://openalex.org/W6941282633","https://openalex.org/W3032369854","https://openalex.org/W3194809050","https://openalex.org/W3195085200","https://openalex.org/W267442960","https://openalex.org/W7098455050","https://openalex.org/W2952308203","https://openalex.org/W2319661261","https://openalex.org/W6885100204"],"abstract_inverted_index":{"Bayesian":[0,61,229,258],"surface":[1,62,230],"smoothing":[2,63,95,231],"using":[3],"splines":[4,29,75],"usually":[5],"proceeds":[6],"by":[7,73,106,245,254],"\\t\\t\\t\\tchoosing":[8],"the":[9,13,28,35,43,51,65,97,129,132,136,139,157,161,171,175,180,183,190,193,207,212,242,250,265,272,291],"smoothness":[10,194,213],"parameter":[11,130,195,214],"through":[12],"use":[14],"of":[15,27,67,135,138,185,211,219,224,249,271,288,290],"data":[16,36],"driven":[17],"\\t\\t\\t\\tmethods":[18],"like":[19],"generalized":[20],"cross":[21],"validation.":[22],"In":[23],"this":[24],"methodology,":[25],"\\t\\t\\t\\tknots":[26,88],"are":[30,103,153,238],"assumed":[31],"to":[32,86,155,216,228,263,284],"lie":[33],"at":[34],"locations.":[37],"\\t\\t\\t\\tWhen":[38],"anisotropy":[39,98],"is":[40,46,91,120,124,147,200],"present":[41,52],"in":[42,64,117,149,160,169,189],"data,":[44],"modeling":[45,235],"done":[47,92,126],"via":[48],"\\t\\t\\t\\tparametric":[49],"functions.\\nIn":[50],"thesis,":[53],"we":[54],"have":[55],"proposed":[56],"a":[57,107,201,225,246],"non-parametric":[58,226],"approach":[59,227,259],"\\t\\t\\t\\tto":[60],"presence":[66],"anisotropy.":[68],"We":[69,237,294],"\\t\\t\\t\\tuse":[70],"eigenfunctions":[71,81],"generated":[72],"thin-plate":[74],"as":[76,90,252,277],"our":[77,118,297],"basis":[78,140,186,220],"\\t\\t\\t\\tfunctions.":[79],"Using":[80],"does":[82],"away":[83],"with":[84,128],"having":[85],"place":[87],"arbitrarily,":[89],"customarily.":[93],"The":[94],"\\t\\t\\t\\tparameter,":[96],"matrix,":[99],"and":[100,192,196],"other":[101],"parameters":[102,172],"\\t\\t\\t\\tsimultaneously":[104],"updated":[105],"Reversible":[108],"Jump":[109],"Markov":[110],"Chain":[111],"Monte":[112],"\\t\\t\\t\\tCarlo":[113],"(RJMCMC)":[114],"sampler.":[115],"Unique":[116],"implementation":[119],"model":[121,145,162,176,191],"\\t\\t\\t\\tselection,":[122],"which":[123,204],"again":[125],"concurrently":[127],"\\t\\t\\t\\tupdates.\\nSince":[131],"posterior":[133],"distribution":[134],"coefficients":[137],"\\t\\t\\t\\tfunctions":[141,187],"for":[142,233],"any":[143],"given":[144],"order":[146],"available":[148],"closed":[150],"form,":[151],"\\t\\t\\t\\twe":[152],"able":[154],"simplify":[156],"sampling":[158],"algorithm":[159],"\\t\\t\\t\\tselection":[163],"step.":[164],"This":[165],"also":[166,260,281,299],"helps":[167],"us":[168,262,283],"isolating":[170],"\\t\\t\\t\\twhich":[173],"influence":[174],"selection":[177],"step.\\nWe":[178],"investigate":[179],"relationship":[181],"between":[182,206],"number":[184,218],"used":[188],"\\t\\t\\t\\tfind":[197],"that":[198,296],"there":[199],"delicate":[202],"balance":[203],"exists":[205],"\\t\\t\\t\\ttwo.":[208],"Higher":[209],"values":[210],"correspond":[215],"\\t\\t\\t\\tmore":[217],"functions":[221],"being":[222],"selected.\\nUse":[223],"\\t\\t\\t\\tprovides":[232],"more":[234],"flexibility.":[236],"not":[239],"constrained":[240],"\\t\\t\\t\\tby":[241],"shape":[243,248],"defined":[244],"parametric":[247],"covariance":[251],"\\t\\t\\t\\tused":[253],"earlier":[255],"methods.":[256],"A":[257],"allows":[261,282],"\\t\\t\\t\\tinclude":[264],"results":[266],"obtained":[267],"from":[268],"previous":[269],"analysis":[270],"same":[273],"\\t\\t\\t\\tdata,":[274],"if":[275],"any,":[276],"prior":[278],"information.":[279],"It":[280],"\\t\\t\\t\\tevaluate":[285],"pointwise":[286],"estimates":[287],"variability":[289],"fitted":[292],"\\t\\t\\t\\tsurface.":[293],"believe":[295],"research":[298],"poses":[300],"many":[301],"questions":[302],"\\t\\t\\t\\tfor":[303],"future":[304],"research.":[305]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2016-06-24T00:00:00"}