{"id":"https://openalex.org/W2793845141","doi":"https://doi.org/10.1109/camsap.2017.8313120","title":"Design of weighted median graph filters","display_name":"Design of weighted median graph filters","publication_year":2017,"publication_date":"2017-12-01","ids":{"openalex":"https://openalex.org/W2793845141","doi":"https://doi.org/10.1109/camsap.2017.8313120","mag":"2793845141"},"language":"en","primary_location":{"id":"doi:10.1109/camsap.2017.8313120","is_oa":false,"landing_page_url":"https://doi.org/10.1109/camsap.2017.8313120","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE 7th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)","raw_type":"proceedings-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/A5012007074","display_name":"Santiago Segarra","orcid":"https://orcid.org/0000-0002-8408-9633"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Santiago Segarra","raw_affiliation_strings":["Inst. for Data, Systems, and Society, Massachusetts Institute of Technology, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Inst. for Data, Systems, and Society, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054312245","display_name":"Antonio G. Marqu\u00e9s","orcid":"https://orcid.org/0000-0002-4642-7718"},"institutions":[{"id":"https://openalex.org/I182083151","display_name":"Universidad Rey Juan Carlos","ror":"https://ror.org/01v5cv687","country_code":"ES","type":"education","lineage":["https://openalex.org/I182083151"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Antonio G. Marques","raw_affiliation_strings":["Dept. of Signal Theory and Communications, King Juan Carlos University, Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Dept. of Signal Theory and Communications, King Juan Carlos University, Madrid, Spain","institution_ids":["https://openalex.org/I182083151"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005357824","display_name":"Gonzalo R. Arce","orcid":"https://orcid.org/0000-0001-7163-7111"},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gonzalo R. Arce","raw_affiliation_strings":["Dept. of Electrical and Computer Engineering, University of Delaware, Newark, DE, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, University of Delaware, Newark, DE, USA","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078862959","display_name":"Alejandro Ribeiro","orcid":"https://orcid.org/0000-0003-4230-9906"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alejandro Ribeiro","raw_affiliation_strings":["Dept. of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA","institution_ids":["https://openalex.org/I79576946"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5012007074"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":1.5602,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.87861947,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9991999864578247,"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.9991999864578247,"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/T10028","display_name":"Topic Modeling","score":0.9348000288009644,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9230999946594238,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6675937175750732},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6063693761825562},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5858373641967773},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.533110499382019},{"id":"https://openalex.org/keywords/weighted-median","display_name":"Weighted median","score":0.5272659063339233},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45553210377693176},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4223968982696533},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.41119861602783203},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.35337546467781067},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3396652638912201},{"id":"https://openalex.org/keywords/median-filter","display_name":"Median filter","score":0.2563348412513733},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20472142100334167},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19406169652938843},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.10197508335113525}],"concepts":[{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6675937175750732},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6063693761825562},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5858373641967773},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.533110499382019},{"id":"https://openalex.org/C136368487","wikidata":"https://www.wikidata.org/wiki/Q7979899","display_name":"Weighted median","level":5,"score":0.5272659063339233},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45553210377693176},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4223968982696533},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.41119861602783203},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35337546467781067},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3396652638912201},{"id":"https://openalex.org/C55352655","wikidata":"https://www.wikidata.org/wiki/Q304247","display_name":"Median filter","level":4,"score":0.2563348412513733},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20472142100334167},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19406169652938843},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.10197508335113525},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/camsap.2017.8313120","is_oa":false,"landing_page_url":"https://doi.org/10.1109/camsap.2017.8313120","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE 7th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W62719046","https://openalex.org/W1568130442","https://openalex.org/W1698699930","https://openalex.org/W1797614037","https://openalex.org/W1976257805","https://openalex.org/W1991252559","https://openalex.org/W2028341025","https://openalex.org/W2030643321","https://openalex.org/W2101248405","https://openalex.org/W2101491865","https://openalex.org/W2115522319","https://openalex.org/W2135960885","https://openalex.org/W2299462150","https://openalex.org/W2343770596","https://openalex.org/W2549164117","https://openalex.org/W2611275110","https://openalex.org/W2616297073","https://openalex.org/W2618453262","https://openalex.org/W2962759781","https://openalex.org/W4238591275","https://openalex.org/W4292660300","https://openalex.org/W6609457598"],"related_works":["https://openalex.org/W2770593030","https://openalex.org/W3154990682","https://openalex.org/W4281727072","https://openalex.org/W2560201613","https://openalex.org/W2171975302","https://openalex.org/W4385627933","https://openalex.org/W2532801570","https://openalex.org/W2480127678","https://openalex.org/W2806270048","https://openalex.org/W4310605282"],"abstract_inverted_index":{"The":[0,55,83,109],"success":[1],"of":[2,10,18,35,62,92,113,124],"linear":[3,27,81],"(graph)":[4],"filters":[5,38,51,115],"lies":[6],"in":[7],"the":[8,26,32,60,63,66,76,90,93,101,122],"combination":[9],"mathematical":[11],"tractability":[12],"and":[13,73,98,111,119],"applicability;":[14],"however,":[15],"a":[16,69,80,105],"number":[17],"meaningful":[19],"problems":[20],"cannot":[21],"be":[22],"satisfactorily":[23],"addressed":[24],"within":[25,95],"domain.":[28],"This":[29],"paper":[30],"generalizes":[31],"classical":[33],"concept":[34],"weighted":[36,48,71,107],"median":[37,49],"to":[39],"operate":[40],"on":[41,121],"graph":[42,50,67,96],"signals.":[43],"Two":[44],"definitions":[45],"for":[46],"nonlinear":[47,70,106],"(MGF)":[52],"are":[53,126],"introduced.":[54],"first":[56],"definition":[57,85],"diffuses":[58],"locally":[59],"values":[61,77,91],"input":[64,94],"across":[65],"using":[68,79],"median,":[72],"then":[74,99,117],"combines":[75],"generated":[78],"mapping.":[82],"second":[84],"starts":[86],"by":[87,103],"linearly":[88],"combining":[89],"neighborhoods":[97],"generates":[100],"output":[102],"implementing":[104],"median.":[108],"behavior":[110],"robustness":[112],"these":[114],"is":[116],"discussed,":[118],"results":[120],"design":[123],"MGF":[125],"presented.":[127]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}