{"id":"https://openalex.org/W7125107116","doi":"https://doi.org/10.48550/arxiv.2601.13400","title":"Deep Image Prior with L0 Gradient Regularizer for Image Smoothing","display_name":"Deep Image Prior with L0 Gradient Regularizer for Image Smoothing","publication_year":2026,"publication_date":"2026-01-19","ids":{"openalex":"https://openalex.org/W7125107116","doi":"https://doi.org/10.48550/arxiv.2601.13400"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2601.13400","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.13400","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2601.13400","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5123508974","display_name":"Nhat Thanh Tran","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tran, Nhat Thanh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5123504269","display_name":"Kevin Bui","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bui, Kevin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5123468417","display_name":"Jack Xin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xin, Jack","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T11019","display_name":"Image Enhancement Techniques","score":0.7871000170707703,"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/T11019","display_name":"Image Enhancement Techniques","score":0.7871000170707703,"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.11739999800920486,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.03440000116825104,"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/smoothing","display_name":"Smoothing","score":0.9077000021934509},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.6097999811172485},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.5224000215530396},{"id":"https://openalex.org/keywords/edge-preserving-smoothing","display_name":"Edge-preserving smoothing","score":0.5217999815940857},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5141000151634216},{"id":"https://openalex.org/keywords/image-compression","display_name":"Image compression","score":0.4499000012874603},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.4438999891281128},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4058000147342682}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.9077000021934509},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6568999886512756},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.6097999811172485},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6086000204086304},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.5224000215530396},{"id":"https://openalex.org/C141651230","wikidata":"https://www.wikidata.org/wiki/Q5337637","display_name":"Edge-preserving smoothing","level":4,"score":0.5217999815940857},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5141000151634216},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.4668999910354614},{"id":"https://openalex.org/C13481523","wikidata":"https://www.wikidata.org/wiki/Q412438","display_name":"Image compression","level":4,"score":0.4499000012874603},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.4438999891281128},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4058000147342682},{"id":"https://openalex.org/C182037307","wikidata":"https://www.wikidata.org/wiki/Q17039097","display_name":"Image gradient","level":5,"score":0.38119998574256897},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35600000619888306},{"id":"https://openalex.org/C104317376","wikidata":"https://www.wikidata.org/wiki/Q1894545","display_name":"Gaussian blur","level":5,"score":0.335099995136261},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3005000054836273},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.298799991607666},{"id":"https://openalex.org/C101453961","wikidata":"https://www.wikidata.org/wiki/Q7048948","display_name":"Non-local means","level":4,"score":0.2987000048160553},{"id":"https://openalex.org/C2779010991","wikidata":"https://www.wikidata.org/wiki/Q2720909","display_name":"Artifact (error)","level":2,"score":0.2985000014305115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2930000126361847},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.2662999927997589},{"id":"https://openalex.org/C198751489","wikidata":"https://www.wikidata.org/wiki/Q2195","display_name":"JPEG","level":3,"score":0.26409998536109924},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.2637999951839447},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.2623000144958496},{"id":"https://openalex.org/C157202957","wikidata":"https://www.wikidata.org/wiki/Q1659609","display_name":"Image warping","level":2,"score":0.2614000141620636},{"id":"https://openalex.org/C2778751112","wikidata":"https://www.wikidata.org/wiki/Q835016","display_name":"Window (computing)","level":2,"score":0.25870001316070557}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2601.13400","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.13400","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2601.13400","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.13400","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Image":[0],"smoothing":[1,30,65,88,134,139],"is":[2,66],"a":[3,52,59,71],"fundamental":[4],"image":[5,29,64,73,87,133,138],"processing":[6],"operation":[7],"that":[8,76,100,116,127],"preserves":[9],"the":[10,78,96,102,128],"underlying":[11],"structure,":[12],"such":[13],"as":[14],"strong":[15],"edges":[16],"and":[17,19,23,140],"contours,":[18],"removes":[20],"minor":[21],"details":[22],"textures":[24],"in":[25,136],"an":[26,40,109,118],"image.":[27],"Many":[28],"algorithms":[31,135],"rely":[32],"on":[33],"computing":[34],"local":[35],"window":[36],"statistics":[37],"or":[38],"solving":[39],"optimization":[41],"problem.":[42],"Recent":[43],"state-of-the-art":[44],"methods":[45],"leverage":[46],"deep":[47,72],"learning,":[48],"but":[49],"they":[50],"require":[51],"carefully":[53],"curated":[54],"training":[55,61,91],"dataset.":[56],"Because":[57],"constructing":[58],"proper":[60],"dataset":[62],"for":[63],"challenging,":[67],"we":[68,107],"propose":[69],"DIP-$\\ell_0$,":[70],"prior":[74],"framework":[75,83],"incorporates":[77],"$\\ell_0$":[79,105,120],"gradient":[80,121],"regularizer.":[81],"This":[82],"can":[84],"perform":[85],"high-quality":[86],"without":[89],"any":[90],"data.":[92],"To":[93],"properly":[94],"minimize":[95],"associated":[97],"loss":[98],"function":[99],"has":[101],"nonconvex,":[103],"nonsmooth":[104],"``norm\",":[106],"develop":[108],"alternating":[110],"direction":[111],"method":[112],"of":[113],"multipliers":[114],"algorithm":[115],"utilizes":[117],"off-the-shelf":[119],"minimization":[122],"solver.":[123],"Numerical":[124],"experiments":[125],"demonstrate":[126],"proposed":[129],"DIP-$\\ell_0$":[130],"outperforms":[131],"many":[132],"edge-preserving":[137],"JPEG":[141],"artifact":[142],"removal.":[143]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-01-22T00:00:00"}