{"id":"https://openalex.org/W4414229205","doi":"https://doi.org/10.1109/tip.2025.3607582","title":"HOPE: Enhanced Position Image Priors via High-Order Implicit Representations","display_name":"HOPE: Enhanced Position Image Priors via High-Order Implicit Representations","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4414229205","doi":"https://doi.org/10.1109/tip.2025.3607582","pmid":"https://pubmed.ncbi.nlm.nih.gov/40956713"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2025.3607582","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2025.3607582","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"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 Image Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5100602455","display_name":"Yang Chen","orcid":"https://orcid.org/0009-0008-5752-1639"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Chen","raw_affiliation_strings":["School of Information and Communication Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111093576","display_name":"Ruituo Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruituo Wu","raw_affiliation_strings":["School of Information and Communication Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031957432","display_name":"Junhui Hou","orcid":"https://orcid.org/0000-0003-3431-2021"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Junhui Hou","raw_affiliation_strings":["Department of Computer Science, City University of Hong Kong, Hong Kong, SAR, China"],"raw_orcid":"https://orcid.org/0000-0003-3431-2021","affiliations":[{"raw_affiliation_string":"Department of Computer Science, City University of Hong Kong, Hong Kong, SAR, China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034427070","display_name":"Ce Zhu","orcid":"https://orcid.org/0000-0001-7607-707X"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ce Zhu","raw_affiliation_strings":["School of Information and Communication Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0001-7607-707X","affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100610065","display_name":"Yipeng Liu","orcid":"https://orcid.org/0000-0003-2084-8781"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yipeng Liu","raw_affiliation_strings":["School of Information and Communication Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0003-2084-8781","affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"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":0.21273021,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":null,"first_page":"5737","last_page":"5749"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11105","display_name":"Advanced Image Processing Techniques","score":0.9919999837875366,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9919999837875366,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9904999732971191,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9886000156402588,"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/prior-probability","display_name":"Prior probability","score":0.7623000144958496},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.6578999757766724},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6207000017166138},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.588699996471405},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.47780001163482666},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4771000146865845},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.47589999437332153},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4521999955177307},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.41290000081062317}],"concepts":[{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.7623000144958496},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.6578999757766724},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6207000017166138},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.588699996471405},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.585099995136261},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5845999717712402},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.47780001163482666},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4771000146865845},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.47589999437332153},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4521999955177307},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4456999897956848},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.4165000021457672},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.41290000081062317},{"id":"https://openalex.org/C11727466","wikidata":"https://www.wikidata.org/wiki/Q1628157","display_name":"Inpainting","level":3,"score":0.4124000072479248},{"id":"https://openalex.org/C55020928","wikidata":"https://www.wikidata.org/wiki/Q3813865","display_name":"Image quality","level":3,"score":0.4108000099658966},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.39959999918937683},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.39430001378059387},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.38440001010894775},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.3531999886035919},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.3434000015258789},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.3353999853134155},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33469998836517334},{"id":"https://openalex.org/C71134354","wikidata":"https://www.wikidata.org/wiki/Q458825","display_name":"Kernel density estimation","level":3,"score":0.3305000066757202},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.32679998874664307},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.2973000109195709},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.2930000126361847},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.2799000144004822},{"id":"https://openalex.org/C125045340","wikidata":"https://www.wikidata.org/wiki/Q6002224","display_name":"Image formation","level":3,"score":0.26579999923706055},{"id":"https://openalex.org/C2781067378","wikidata":"https://www.wikidata.org/wiki/Q17027399","display_name":"Interpretability","level":2,"score":0.26499998569488525}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tip.2025.3607582","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2025.3607582","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"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 Image Processing","raw_type":"journal-article"},{"id":"pmid:40956713","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40956713","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on image processing : a publication of the IEEE Signal Processing Society","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G31350730","display_name":null,"funder_award_id":"62171088","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3864562958","display_name":null,"funder_award_id":"62450131","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4017188246","display_name":null,"funder_award_id":"W2412085","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4278621838","display_name":null,"funder_award_id":"62422118","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1580389772","https://openalex.org/W1995558350","https://openalex.org/W2083927153","https://openalex.org/W2194775991","https://openalex.org/W2604414494","https://openalex.org/W2915130236","https://openalex.org/W2964013315","https://openalex.org/W2982374186","https://openalex.org/W3034724715","https://openalex.org/W3035865126","https://openalex.org/W3121217874","https://openalex.org/W3165930601","https://openalex.org/W3177118011","https://openalex.org/W3178474055","https://openalex.org/W3188455524","https://openalex.org/W3215434375","https://openalex.org/W3217220299","https://openalex.org/W4200150166","https://openalex.org/W4214708255","https://openalex.org/W4221151978","https://openalex.org/W4313156152","https://openalex.org/W4385245566","https://openalex.org/W4385276618","https://openalex.org/W4385626759","https://openalex.org/W4386066223","https://openalex.org/W4386075946","https://openalex.org/W4386076276","https://openalex.org/W4388953010","https://openalex.org/W4390939985","https://openalex.org/W4391854909","https://openalex.org/W4394593177","https://openalex.org/W4403391459"],"related_works":[],"abstract_inverted_index":{"Deep":[0],"Image":[1,34,65],"Prior":[2,35],"(DIP)":[3],"has":[4],"shown":[5],"that":[6,111,155],"networks":[7],"with":[8],"stochastic":[9],"initialization":[10],"and":[11,100,119,145,163],"custom":[12],"architectures":[13],"can":[14],"effectively":[15],"address":[16],"inverse":[17,53,105,146],"imaging":[18,54],"challenges.":[19],"Despite":[20],"its":[21],"potential,":[22],"DIP":[23],"requires":[24],"significant":[25],"computational":[26],"resources,":[27],"whereas":[28],"the":[29,85,93],"lighter":[30],"Implicit":[31,69],"Neural":[32,121],"Positional":[33,64],"(PIP)":[36],"often":[37],"yields":[38],"overly":[39],"smooth":[40],"solutions":[41,51],"due":[42],"to":[43,96],"exacerbated":[44],"spectral":[45,86],"bias.":[46],"Research":[47],"on":[48],"lightweight,":[49],"high-performance":[50],"for":[52,103,160],"remains":[55],"limited.":[56],"This":[57,82],"paper":[58],"proposes":[59],"a":[60,78],"novel":[61],"framework,":[62],"Enhanced":[63],"Priors":[66],"through":[67],"High-Order":[68],"Representations":[70],"(HOPE),":[71],"incorporating":[72],"high-order":[73],"interactions":[74],"between":[75],"layers":[76],"within":[77],"conventional":[79],"cascade":[80],"structure.":[81],"approach":[83],"reduces":[84],"bias":[87],"commonly":[88],"seen":[89],"in":[90],"PIP,":[91],"enhancing":[92],"model's":[94],"ability":[95],"capture":[97],"both":[98],"low-":[99],"high-frequency":[101],"components":[102],"optimal":[104],"problem":[106],"performance.":[107],"We":[108],"theoretically":[109],"demonstrate":[110],"HOPE's":[112],"expanded":[113],"representational":[114],"space,":[115],"narrower":[116],"convergence":[117],"range,":[118],"improved":[120],"Tangent":[122],"Kernel":[123],"(NTK)":[124],"diagonal":[125],"properties":[126],"enable":[127],"more":[128],"precise":[129],"frequency":[130],"representations":[131],"than":[132],"PIP.":[133],"Comprehensive":[134],"experiments":[135],"across":[136],"tasks":[137],"such":[138],"as":[139],"signal":[140],"representation":[141],"(audio,":[142],"image,":[143],"volume)":[144],"image":[147],"processing":[148],"(denoising,":[149],"super-resolution,":[150],"CT":[151],"reconstruction,":[152],"inpainting)":[153],"confirm":[154],"HOPE":[156],"establishes":[157],"new":[158],"benchmarks":[159],"recovery":[161],"quality":[162],"training":[164],"efficiency.":[165]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}