{"id":"https://openalex.org/W7131400209","doi":"https://doi.org/10.48550/arxiv.2602.19155","title":"A median-filter-based framework for interface optimal design problems","display_name":"A median-filter-based framework for interface optimal design problems","publication_year":2026,"publication_date":"2026-02-22","ids":{"openalex":"https://openalex.org/W7131400209","doi":"https://doi.org/10.48550/arxiv.2602.19155"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2602.19155","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.19155","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":null,"license_id":null,"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.2602.19155","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045401377","display_name":"Sihao Cheng","orcid":"https://orcid.org/0000-0002-9156-7461"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cheng, Sihao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5126698324","display_name":"Ziming Shao","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shao, Ziming","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5126830009","display_name":"Dong D Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Dong","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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.23770000040531158,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.23770000040531158,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11115","display_name":"Topology Optimization in Engineering","score":0.2020999938249588,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.09969999641180038,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5120999813079834},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.482699990272522},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.47200000286102295},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4593999981880188},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4429999887943268},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.42340001463890076},{"id":"https://openalex.org/keywords/topology-optimization","display_name":"Topology optimization","score":0.40950000286102295},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4077000021934509},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.3619000017642975}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6089000105857849},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5573999881744385},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5120999813079834},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.482699990272522},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47450000047683716},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.47200000286102295},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4593999981880188},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4429999887943268},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.42340001463890076},{"id":"https://openalex.org/C189216461","wikidata":"https://www.wikidata.org/wiki/Q2443456","display_name":"Topology optimization","level":3,"score":0.40950000286102295},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4077000021934509},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3619000017642975},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.3596999943256378},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.3594000041484833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3427000045776367},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.32710000872612},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.3240000009536743},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.320499986410141},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.31869998574256897},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.3140000104904175},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.30079999566078186},{"id":"https://openalex.org/C186394612","wikidata":"https://www.wikidata.org/wiki/Q7098942","display_name":"Optimal design","level":2,"score":0.28529998660087585},{"id":"https://openalex.org/C191640071","wikidata":"https://www.wikidata.org/wiki/Q5377056","display_name":"Energy functional","level":2,"score":0.2809999883174896},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.2700999975204468},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.2632000148296356},{"id":"https://openalex.org/C118671147","wikidata":"https://www.wikidata.org/wiki/Q578714","display_name":"Quantile","level":2,"score":0.2572000026702881},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.25119999051094055}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2602.19155","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.19155","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2602.19155","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.19155","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"score":0.6611987352371216,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,82],"present":[1],"a":[2,10,16,43,48,85,103,115],"robust":[3],"and":[4,139,161],"efficient":[5,149],"numerical":[6],"framework":[7,151],"based":[8],"on":[9,129],"median":[11,61],"filter":[12,62],"scheme":[13,41,46,63],"for":[14,102],"solving":[15],"broad":[17],"class":[18,105],"of":[19,32,38,94,106,121],"interface-related":[20],"optimization":[21,141],"problems,":[22],"from":[23],"image":[24],"segmentation":[25],"to":[26,164],"topology":[27,140],"optimization.":[28],"A":[29],"key":[30],"innovation":[31],"our":[33],"work":[34],"is":[35],"the":[36,39,66,90,95,110,119,122,130,133,147,154],"extension":[37],"binary":[40,54,116,165],"into":[42],"continuous":[44,60,150],"level-set":[45],"via":[47],"weighted":[49],"quantile":[50],"interpretation.":[51],"Unlike":[52],"traditional":[53],"iterative":[55,96],"convolution-thresholding":[56],"method":[57,123],"(ICTM),":[58],"this":[59],"effectively":[64,152],"overcomes":[65],"pinning":[67,155],"effect":[68],"caused":[69],"by":[70],"spatial":[71],"discretization,":[72],"achieving":[73],"accurate":[74],"interface":[75],"evolution":[76],"even":[77],"with":[78],"small":[79],"time":[80],"steps.":[81],"also":[83],"provide":[84],"rigorous":[86],"theoretical":[87],"analysis,":[88],"proving":[89],"unconditional":[91,158],"energy":[92,159],"stability":[93],"scheme.":[97],"Furthermore,":[98],"we":[99],"prove":[100],"that":[101,146],"wide":[104],"data":[107],"fidelity":[108],"terms,":[109],"convex":[111],"relaxation":[112],"inherently":[113],"enforces":[114],"solution,":[117],"justifying":[118],"effectiveness":[120],"without":[124],"explicit":[125],"penalization.":[126],"Numerical":[127],"experiments":[128],"Chan--Vese":[131],"model,":[132,138],"local":[134],"intensity":[135],"fitting":[136],"(LIF)":[137],"in":[142],"Stokes":[143],"flow":[144],"demonstrate":[145],"proposed":[148],"eliminates":[153],"effect,":[156],"guarantees":[157],"stability,":[160],"accurately":[162],"converges":[163],"solutions.":[166]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-02-26T00:00:00"}
