{"id":"https://openalex.org/W2074744302","doi":"https://doi.org/10.1145/1583991.1584043","title":"A randomized, o(log w)-depth 2 smoothing network","display_name":"A randomized, o(log w)-depth 2 smoothing network","publication_year":2009,"publication_date":"2009-08-11","ids":{"openalex":"https://openalex.org/W2074744302","doi":"https://doi.org/10.1145/1583991.1584043","mag":"2074744302"},"language":"en","primary_location":{"id":"doi:10.1145/1583991.1584043","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1583991.1584043","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-first annual symposium on Parallelism in algorithms and architectures","raw_type":"proceedings-article"},"type":"conference-paper","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/A5066537602","display_name":"Marios Mavronicolas","orcid":"https://orcid.org/0009-0009-0115-3045"},"institutions":[{"id":"https://openalex.org/I34771391","display_name":"University of Cyprus","ror":"https://ror.org/02qjrjx09","country_code":"CY","type":"education","lineage":["https://openalex.org/I34771391"]}],"countries":["CY"],"is_corresponding":false,"raw_author_name":"Marios Mavronicolas","raw_affiliation_strings":["University of Cyprus, Nicosia, Cyprus"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Cyprus, Nicosia, Cyprus","institution_ids":["https://openalex.org/I34771391"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017390373","display_name":"Thomas Sauerwald","orcid":"https://orcid.org/0000-0002-0882-283X"},"institutions":[{"id":"https://openalex.org/I1297971548","display_name":"International Computer Science Institute","ror":"https://ror.org/01ewh7m12","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I1297971548"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas Sauerwald","raw_affiliation_strings":["International Computer Science Institute (ICSI), Berkeley, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"International Computer Science Institute (ICSI), Berkeley, CA, USA","institution_ids":["https://openalex.org/I1297971548"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3011,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.5019984,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"178","last_page":"187"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9937000274658203,"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.9861999750137329,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.6993853449821472},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.5555741786956787},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.5368870496749878},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5188242793083191},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5134811997413635},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.5042959451675415},{"id":"https://openalex.org/keywords/sorting-network","display_name":"Sorting network","score":0.49479979276657104},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.48784446716308594},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4564646780490875},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4082445204257965},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2631869912147522},{"id":"https://openalex.org/keywords/sorting-algorithm","display_name":"Sorting algorithm","score":0.22939610481262207},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20903635025024414}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6993853449821472},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.5555741786956787},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.5368870496749878},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5188242793083191},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5134811997413635},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.5042959451675415},{"id":"https://openalex.org/C64540648","wikidata":"https://www.wikidata.org/wiki/Q646477","display_name":"Sorting network","level":4,"score":0.49479979276657104},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.48784446716308594},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4564646780490875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4082445204257965},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2631869912147522},{"id":"https://openalex.org/C108094655","wikidata":"https://www.wikidata.org/wiki/Q181593","display_name":"Sorting algorithm","level":3,"score":0.22939610481262207},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20903635025024414},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1583991.1584043","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1583991.1584043","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-first annual symposium on Parallelism in algorithms and architectures","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.415.2929","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.415.2929","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://aeolus.ceid.upatras.gr/scientific-reports/4th-year-reports/spaa050-mavronicolas.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1505787165","https://openalex.org/W1566404690","https://openalex.org/W1587590810","https://openalex.org/W1695073853","https://openalex.org/W2023434464","https://openalex.org/W2036176451","https://openalex.org/W2038456107","https://openalex.org/W2060672924","https://openalex.org/W2061686008","https://openalex.org/W2067885105","https://openalex.org/W2073491596","https://openalex.org/W2096006817","https://openalex.org/W2096567392","https://openalex.org/W2103012681","https://openalex.org/W2116591503","https://openalex.org/W2141389982","https://openalex.org/W2295944892","https://openalex.org/W4233413206","https://openalex.org/W6630271977"],"related_works":["https://openalex.org/W2164888609","https://openalex.org/W2365998105","https://openalex.org/W2017461851","https://openalex.org/W2131956217","https://openalex.org/W1521404434","https://openalex.org/W2168577286","https://openalex.org/W2208979138","https://openalex.org/W2094179388","https://openalex.org/W2122685942","https://openalex.org/W2155395173"],"abstract_inverted_index":{"A":[0],"K-smoothing":[1,59],"network":[2,60,96,120],"is":[3,45,104],"a":[4,52,58,92,108],"distributed,":[5],"low-contention":[6],"data":[7],"structure":[8],"where":[9],"tokens":[10,37],"arrive":[11],"arbitrarily":[12],"on":[13,84],"w":[14,19],"input":[15],"wires":[16,21],"and":[17,80],"reach":[18],"output":[20],"via":[22],"their":[23],"completely":[24],"asynchronous":[25],"propagation":[26],"through":[27],"the":[28,34,40,76,105,117],"network.":[29],"The":[30],"maximum":[31],"discrepancy":[32],"among":[33],"numbers":[35],"of":[36,75,107,114,116],"arriving":[38],"at":[39,46],"ouput":[41],"wires,":[42],"called":[43],"smoothness,":[44],"most":[47],"K.":[48],"It":[49,103],"has":[50],"been":[51],"longstanding":[53],"open":[54],"problem":[55],"to":[56],"construct":[57],"with":[61],"(i)":[62],"optimal":[63,66],"K,":[64],"(ii)":[65],"\u0398(lg":[67],"w)":[68],"depth":[69],"(called":[70],"smalldepth),":[71],"(iii)":[72],"no":[73,82],"use":[74],"AKS":[77],"sorting":[78],"network,":[79],"(iv)":[81],"reliance":[83],"global":[85],"initialization.":[86],"In":[87],"this":[88],"work,":[89],"we":[90],"present":[91],"very":[93],"simple,":[94],"randomized":[95],"which":[97],"meets":[98],"all":[99],"four":[100],"desiderata:":[101],"\u2022":[102],"cascade":[106],"reasonably":[109],"small":[110],"number":[111],"(about":[112],"150)":[113],"copies":[115],"simple":[118],"block":[119],"[6];":[121],"hence,":[122]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
