{"id":"https://openalex.org/W2294310110","doi":"https://doi.org/10.1145/2676723.2677251","title":"Randomized Reduction","display_name":"Randomized Reduction","publication_year":2015,"publication_date":"2015-02-24","ids":{"openalex":"https://openalex.org/W2294310110","doi":"https://doi.org/10.1145/2676723.2677251","mag":"2294310110"},"language":"en","primary_location":{"id":"doi:10.1145/2676723.2677251","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2676723.2677251","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 46th ACM Technical Symposium on Computer Science Education","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/A5083958648","display_name":"Brian C. Dean","orcid":"https://orcid.org/0009-0000-0904-4681"},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Brian C. Dean","raw_affiliation_strings":["Clemson University, Clemson, SC, USA"],"affiliations":[{"raw_affiliation_string":"Clemson University, Clemson, SC, USA","institution_ids":["https://openalex.org/I8078737"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103872341","display_name":"Raghuveer Mohan","orcid":null},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Raghuveer Mohan","raw_affiliation_strings":["Clemson University, Clemson, SC, USA"],"affiliations":[{"raw_affiliation_string":"Clemson University, Clemson, SC, USA","institution_ids":["https://openalex.org/I8078737"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016027900","display_name":"Chad G. Waters","orcid":null},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chad G. Waters","raw_affiliation_strings":["Clemson University, Clemson, SC, USA"],"affiliations":[{"raw_affiliation_string":"Clemson University, Clemson, SC, USA","institution_ids":["https://openalex.org/I8078737"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083958648"],"corresponding_institution_ids":["https://openalex.org/I8078737"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10535714,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"259","last_page":"264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9998999834060669,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9998999834060669,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9980999827384949,"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/randomized-algorithm","display_name":"Randomized algorithm","score":0.663854718208313},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6612013578414917},{"id":"https://openalex.org/keywords/intuition","display_name":"Intuition","score":0.5725234746932983},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.4998173713684082},{"id":"https://openalex.org/keywords/randomized-experiment","display_name":"Randomized experiment","score":0.48161882162094116},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4791102409362793},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.45281922817230225},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4175442159175873},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36870333552360535},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25489747524261475},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14159223437309265}],"concepts":[{"id":"https://openalex.org/C128669082","wikidata":"https://www.wikidata.org/wiki/Q583461","display_name":"Randomized algorithm","level":2,"score":0.663854718208313},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6612013578414917},{"id":"https://openalex.org/C132010649","wikidata":"https://www.wikidata.org/wiki/Q189222","display_name":"Intuition","level":2,"score":0.5725234746932983},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.4998173713684082},{"id":"https://openalex.org/C155108698","wikidata":"https://www.wikidata.org/wiki/Q1231081","display_name":"Randomized experiment","level":2,"score":0.48161882162094116},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4791102409362793},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.45281922817230225},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4175442159175873},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36870333552360535},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25489747524261475},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14159223437309265},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2676723.2677251","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2676723.2677251","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 46th ACM Technical Symposium on Computer Science Education","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.75,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1554468215","https://openalex.org/W1964089073","https://openalex.org/W1990772897","https://openalex.org/W2019174300","https://openalex.org/W2022541337","https://openalex.org/W2037107919","https://openalex.org/W2099844038","https://openalex.org/W2100061495","https://openalex.org/W4231502736"],"related_works":["https://openalex.org/W3006682748","https://openalex.org/W1097487277","https://openalex.org/W2949964783","https://openalex.org/W2768610039","https://openalex.org/W3121250382","https://openalex.org/W4285390085","https://openalex.org/W31688704","https://openalex.org/W2801357573","https://openalex.org/W2974000959","https://openalex.org/W2106889256"],"abstract_inverted_index":{"Despite":[0],"their":[1,29,79],"power":[2],"and":[3,50,84,134],"simplicity,":[4],"randomized":[5,48,63,105],"algorithms":[6,49],"are":[7],"often":[8],"under-emphasized":[9],"in":[10,18,108,116,136],"the":[11,42,62,86],"classroom":[12,148],"(and":[13],"as":[14,146],"a":[15,37,96,137,147],"consequence,":[16],"ultimately":[17],"practice)":[19],"since":[20],"they":[21],"can":[22,102],"be":[23,132],"more":[24],"challenging":[25],"to":[26,95,131],"analyze":[27],"than":[28],"deterministic":[30,82],"counterparts.":[31],"In":[32],"this":[33,57],"paper,":[34],"we":[35,60],"describe":[36],"simplified":[38],"framework":[39],"that":[40,69,104,142],"streamlines":[41],"analysis":[43],"of":[44,46,56,121],"dozens":[45],"common":[47],"data":[51],"structures.":[52],"The":[53],"key":[54],"component":[55],"framework,":[58],"which":[59],"call":[61],"reduction":[64],"lemma,":[65],"builds":[66],"on":[67,78],"intuition":[68],"is":[70,129],"already":[71],"commonly":[72],"held":[73],"by":[74],"most":[75],"students":[76],"based":[77],"experience":[80],"with":[81,113],"algorithms,":[83],"reduces":[85],"necessary":[87],"prerequisites":[88],"one":[89,101],"must":[90],"know":[91],"from":[92],"probability":[93,115],"theory":[94],"minimal":[97],"subset.":[98],"For":[99],"example,":[100],"prove":[103],"quicksort":[106],"runs":[107],"O(n":[109],"log":[110],"n)":[111],"time":[112],"high":[114],"two":[117],"paragraphs,":[118],"without":[119],"knowledge":[120],"random":[122],"variables":[123],"or":[124],"Chernoff":[125],"bounds.":[126],"This":[127],"paper":[128],"intended":[130],"self-contained":[133],"written":[135],"sufficiently":[138],"student-friendly":[139],"fashion":[140],"so":[141],"it":[143],"may":[144],"serve":[145],"handout.":[149]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
