{"id":"https://openalex.org/W4413822437","doi":"https://doi.org/10.1109/tit.2025.3603987","title":"Rethinking Hard Thresholding Pursuit: Full Adaptation and Sharp Estimation","display_name":"Rethinking Hard Thresholding Pursuit: Full Adaptation and Sharp Estimation","publication_year":2025,"publication_date":"2025-08-29","ids":{"openalex":"https://openalex.org/W4413822437","doi":"https://doi.org/10.1109/tit.2025.3603987"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2025.3603987","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3603987","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Transactions on Information Theory","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/A5101591600","display_name":"Yanhang Zhang","orcid":"https://orcid.org/0009-0002-1531-665X"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanhang Zhang","raw_affiliation_strings":["Yau Mathematical Sciences Center, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0009-0002-1531-665X","affiliations":[{"raw_affiliation_string":"Yau Mathematical Sciences Center, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Shixiang Liu","orcid":"https://orcid.org/0009-0001-9064-8868"},"institutions":[{"id":"https://openalex.org/I78988378","display_name":"Renmin University of China","ror":"https://ror.org/041pakw92","country_code":"CN","type":"education","lineage":["https://openalex.org/I78988378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shixiang Liu","raw_affiliation_strings":["School of Statistics, Renmin University of China, Beijing, China"],"raw_orcid":"https://orcid.org/0009-0001-9064-8868","affiliations":[{"raw_affiliation_string":"School of Statistics, Renmin University of China, Beijing, China","institution_ids":["https://openalex.org/I78988378"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101197870","display_name":"Zhifan Li","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhifan Li","raw_affiliation_strings":["Yau Mathematical Sciences Center, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0009-0006-6323-3137","affiliations":[{"raw_affiliation_string":"Yau Mathematical Sciences Center, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100329544","display_name":"Xueqin Wang","orcid":"https://orcid.org/0000-0001-5205-9950"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xueqin Wang","raw_affiliation_strings":["Department of Statistics and Finance/International Institute of Finance, School of Management, University of Science and Technology of China, Hefei, Anhui, China"],"raw_orcid":"https://orcid.org/0000-0001-5205-9950","affiliations":[{"raw_affiliation_string":"Department of Statistics and Finance/International Institute of Finance, School of Management, University of Science and Technology of China, Hefei, Anhui, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054654681","display_name":"Jianxin Yin","orcid":"https://orcid.org/0000-0002-8802-0000"},"institutions":[{"id":"https://openalex.org/I78988378","display_name":"Renmin University of China","ror":"https://ror.org/041pakw92","country_code":"CN","type":"education","lineage":["https://openalex.org/I78988378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianxin Yin","raw_affiliation_strings":["Center for Applied Statistics and School of Statistics, Renmin University of China, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-8802-0000","affiliations":[{"raw_affiliation_string":"Center for Applied Statistics and School of Statistics, Renmin University of China, Beijing, China","institution_ids":["https://openalex.org/I78988378"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"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":0.11302279,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"11","first_page":"8899","last_page":"8927"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.774399995803833,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.774399995803833,"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/T12153","display_name":"Advanced Optical Sensing Technologies","score":0.75,"subfield":{"id":"https://openalex.org/subfields/3105","display_name":"Instrumentation"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11019","display_name":"Image Enhancement Techniques","score":0.7214999794960022,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/thresholding","display_name":"Thresholding","score":0.6424992680549622},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5739545226097107},{"id":"https://openalex.org/keywords/adaptation","display_name":"Adaptation (eye)","score":0.5670347213745117},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4873829483985901},{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.46421268582344055},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42317235469818115},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.37233424186706543},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.36162516474723816},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3391638398170471},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3314465880393982},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11382484436035156},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.11017656326293945},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.0994410514831543}],"concepts":[{"id":"https://openalex.org/C191178318","wikidata":"https://www.wikidata.org/wiki/Q2256906","display_name":"Thresholding","level":3,"score":0.6424992680549622},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5739545226097107},{"id":"https://openalex.org/C139807058","wikidata":"https://www.wikidata.org/wiki/Q352374","display_name":"Adaptation (eye)","level":2,"score":0.5670347213745117},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4873829483985901},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.46421268582344055},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42317235469818115},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.37233424186706543},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.36162516474723816},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3391638398170471},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3314465880393982},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11382484436035156},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.11017656326293945},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0994410514831543},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.0},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2025.3603987","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3603987","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2070460289","display_name":null,"funder_award_id":"2020YFC2004900","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G4549204025","display_name":null,"funder_award_id":"72171216","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8708097720","display_name":null,"funder_award_id":"12231017","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1916786071","https://openalex.org/W1965125844","https://openalex.org/W1977520307","https://openalex.org/W1995771589","https://openalex.org/W2013916391","https://openalex.org/W2020925091","https://openalex.org/W2028781966","https://openalex.org/W2032291279","https://openalex.org/W2052044664","https://openalex.org/W2074682976","https://openalex.org/W2084768311","https://openalex.org/W2092058109","https://openalex.org/W2100556411","https://openalex.org/W2116581043","https://openalex.org/W2127300249","https://openalex.org/W2129554161","https://openalex.org/W2133593515","https://openalex.org/W2135046866","https://openalex.org/W2144842058","https://openalex.org/W2149144946","https://openalex.org/W2159700154","https://openalex.org/W2755808604","https://openalex.org/W2962710557","https://openalex.org/W2963322354","https://openalex.org/W2963894057","https://openalex.org/W2963943067","https://openalex.org/W2964097857","https://openalex.org/W2998817562","https://openalex.org/W3048822613","https://openalex.org/W3111016709","https://openalex.org/W3121832289","https://openalex.org/W3122008423","https://openalex.org/W3158199885","https://openalex.org/W3211840806","https://openalex.org/W4294541781","https://openalex.org/W4311626684","https://openalex.org/W4399881992","https://openalex.org/W4401991121","https://openalex.org/W4407381293"],"related_works":["https://openalex.org/W1542224353","https://openalex.org/W1661087619","https://openalex.org/W2116854923","https://openalex.org/W2750730210","https://openalex.org/W2236974868","https://openalex.org/W4312766348","https://openalex.org/W4233939244","https://openalex.org/W2730764323","https://openalex.org/W3123806511","https://openalex.org/W1976727107"],"abstract_inverted_index":{"Hard":[0],"Thresholding":[1],"Pursuit":[2],"(HTP)":[3],"has":[4],"aroused":[5],"increasing":[6],"attention":[7],"for":[8],"its":[9,137],"robust":[10],"theoretical":[11,84,96,138,182],"guarantees":[12],"and":[13,37,76,146,148,187],"impressive":[14],"numerical":[15,178],"performance":[16],"in":[17],"non-convex":[18],"optimization.":[19],"This":[20],"paper":[21],"consider":[22],"a":[23,60,164],"high-dimensional":[24],"linear":[25],"regression":[26],"model":[27],"with":[28,173],"<italic":[29,33,40,111,117],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[30,34,41,43,47,51,105,109,112,118,120,122,130,132,134],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</i>":[31],"observations,":[32],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">p</i>":[35],"predictors,":[36],"an":[38],"unknown":[39,74],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">s</i><sup":[42],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u2217</sup>-sparse":[44],"signal":[45,77],"\u03b2<sup":[46],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u2217</sup>":[48,110],"\u2208":[49],"R<italic":[50],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><sup>p</sup></i>":[52],"corrupted":[53],"by":[54],"noise":[55],"of":[56,79,92,189],"magnitude":[57],"\u03c3.We":[58],"introduce":[59],"novel":[61],"tuning-free":[62],"procedure,":[63],"namely":[64],"Full-Adaptive":[65],"HTP":[66],"(FAHTP),":[67],"that":[68],"simultaneously":[69],"adapts":[70],"to":[71],"both":[72],"the":[73,80,88,101,150,159,169,185,190],"sparsity":[75],"strength":[78],"underlying":[81],"model.":[82],"Our":[83],"analysis":[85],"rigorously":[86],"characterizes":[87],"iterative":[89],"thresholding":[90],"dynamics":[91],"FAHTP,":[93],"offering":[94],"refined":[95],"insights.":[97],"In":[98],"specific,":[99],"under":[100],"beta-min":[102,160],"condition":[103],"min<sub":[104],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">{<i>i</i>:\u03b2<sup>\u2217</sup><i><sub>i</sub></i>":[106],"\u0338=0}</sub>":[107],"|\u03b2<sup":[108],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><sub>i</sub></i>":[113],"|":[114],"\u2265":[115],"C\u03c3(log":[116],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">p</i>/<italic":[119],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</i>)<sup":[121,133],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1/2</sup>,":[123,135],"FAHTP":[124,162],"achieves":[125,163],"oracle":[126],"estimation":[127],"rate":[128,172],"\u03c3(s<sup":[129],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u2217</sup>/<italic":[131],"highlighting":[136],"superiority":[139],"over":[140],"convex":[141],"competitors":[142],"such":[143],"as":[144],"LASSO":[145],"SLOPE,":[147],"recovers":[149],"true":[151],"support":[152],"set":[153],"exactly.":[154],"More":[155],"importantly,":[156],"even":[157],"without":[158],"condition,":[161],"tighter":[165],"error":[166],"bound":[167],"than":[168],"classical":[170],"minimax":[171],"high":[174],"probability.":[175],"The":[176],"comprehensive":[177],"experiments":[179],"substantiate":[180],"our":[181],"findings,":[183],"underscoring":[184],"effectiveness":[186],"robustness":[188],"proposed":[191],"FAHTP.":[192]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
