{"id":"https://openalex.org/W2101403827","doi":"https://doi.org/10.1109/lsp.2004.827924","title":"Generalized Cross Validation for Multiwavelet Shrinkage","display_name":"Generalized Cross Validation for Multiwavelet Shrinkage","publication_year":2004,"publication_date":"2004-05-25","ids":{"openalex":"https://openalex.org/W2101403827","doi":"https://doi.org/10.1109/lsp.2004.827924","mag":"2101403827"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2004.827924","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2004.827924","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"journal-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/A5064652287","display_name":"Tai-Chiu Hsung","orcid":"https://orcid.org/0000-0001-7699-1937"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"T.-C. Hsung","raw_affiliation_strings":["Centre for Multimedia Signal Processing, Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hong Kong, China","Dept. of Electron. & Inf. Eng., Hong Kong Polytech. Univ., China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Multimedia Signal Processing, Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hong Kong, China","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"Dept. of Electron. & Inf. Eng., Hong Kong Polytech. Univ., China","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045479823","display_name":"Daniel Pak-Kong Lun","orcid":"https://orcid.org/0000-0003-3891-1363"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"D.P.-K. Lun","raw_affiliation_strings":["Centre for Multimedia Signal Processing, Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hong Kong, China","Dept. of Electron. & Inf. Eng., Hong Kong Polytech. Univ., China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Multimedia Signal Processing, Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hong Kong, China","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"Dept. of Electron. & Inf. Eng., Hong Kong Polytech. Univ., China","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I14243506"],"apc_list":null,"apc_paid":null,"fwci":0.8157,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.75228688,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"11","issue":"6","first_page":"549","last_page":"552"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9767000079154968,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/shrinkage","display_name":"Shrinkage","score":0.8980916738510132},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.7166597247123718},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7099563479423523},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.6512521505355835},{"id":"https://openalex.org/keywords/shrinkage-estimator","display_name":"Shrinkage estimator","score":0.5540956258773804},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48824575543403625},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.4809805154800415},{"id":"https://openalex.org/keywords/cross-validation","display_name":"Cross-validation","score":0.47437602281570435},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45201075077056885},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40662312507629395},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.40614068508148193},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3801324665546417},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.24723127484321594},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.23108646273612976},{"id":"https://openalex.org/keywords/minimum-variance-unbiased-estimator","display_name":"Minimum-variance unbiased estimator","score":0.21660208702087402},{"id":"https://openalex.org/keywords/bias-of-an-estimator","display_name":"Bias of an estimator","score":0.19591867923736572}],"concepts":[{"id":"https://openalex.org/C180145272","wikidata":"https://www.wikidata.org/wiki/Q7504144","display_name":"Shrinkage","level":2,"score":0.8980916738510132},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.7166597247123718},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7099563479423523},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.6512521505355835},{"id":"https://openalex.org/C102592046","wikidata":"https://www.wikidata.org/wiki/Q7504144","display_name":"Shrinkage estimator","level":5,"score":0.5540956258773804},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48824575543403625},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.4809805154800415},{"id":"https://openalex.org/C27181475","wikidata":"https://www.wikidata.org/wiki/Q541014","display_name":"Cross-validation","level":2,"score":0.47437602281570435},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45201075077056885},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40662312507629395},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.40614068508148193},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3801324665546417},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24723127484321594},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.23108646273612976},{"id":"https://openalex.org/C165646398","wikidata":"https://www.wikidata.org/wiki/Q3755281","display_name":"Minimum-variance unbiased estimator","level":3,"score":0.21660208702087402},{"id":"https://openalex.org/C191393472","wikidata":"https://www.wikidata.org/wiki/Q15222032","display_name":"Bias of an estimator","level":4,"score":0.19591867923736572},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lsp.2004.827924","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2004.827924","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"journal-article"},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/21262","is_oa":false,"landing_page_url":"http://hdl.handle.net/10397/21262","pdf_url":null,"source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal/Magazine Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W151981251","https://openalex.org/W1987243946","https://openalex.org/W2059914778","https://openalex.org/W2116162439","https://openalex.org/W2116441190","https://openalex.org/W2134170479","https://openalex.org/W2146766088","https://openalex.org/W2151191108","https://openalex.org/W4298876635"],"related_works":["https://openalex.org/W2391958761","https://openalex.org/W2765453142","https://openalex.org/W2356780078","https://openalex.org/W2356008845","https://openalex.org/W255134961","https://openalex.org/W2348314720","https://openalex.org/W2243547089","https://openalex.org/W2253986335","https://openalex.org/W2979071418","https://openalex.org/W2768912651"],"abstract_inverted_index":{"Traditional":[0],"multiwavelet":[1,38,78],"shrinkage":[2,39],"denoising":[3,69],"techniques":[4],"require":[5,43],"a":[6,32,45],"priori":[7,46],"knowledge":[8],"of":[9],"noise":[10],"variance":[11],"that":[12,40,51],"may":[13],"not":[14,42],"be":[15],"obtained":[16],"in":[17,29],"some":[18],"practical":[19],"situations.":[20],"By":[21],"using":[22],"generalized":[23],"cross":[24],"validation":[25],"(GCV),":[26],"we":[27],"propose":[28],"this":[30],"paper":[31],"new":[33],"level-dependent":[34],"risk":[35,54],"estimator":[36,55],"for":[37,75],"does":[41],"such":[44],"information.":[47],"Simulation":[48],"results":[49],"verify":[50],"the":[52,64],"resulted":[53],"gives":[56],"better":[57],"indication":[58],"on":[59],"threshold":[60],"selection":[61],"comparing":[62],"with":[63],"traditional":[65],"GCV":[66],"method.":[67],"Improved":[68],"performance":[70],"is":[71],"then":[72],"achieved":[73],"particularly":[74],"higher":[76],"multiplicity":[77],"shrinkage.":[79]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}