{"id":"https://openalex.org/W2017328704","doi":"https://doi.org/10.1137/s009753979630235x","title":"Genericity, Randomness, and Polynomial-Time Approximations","display_name":"Genericity, Randomness, and Polynomial-Time Approximations","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2017328704","doi":"https://doi.org/10.1137/s009753979630235x","mag":"2017328704"},"language":"en","primary_location":{"id":"doi:10.1137/s009753979630235x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s009753979630235x","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-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/A5083320238","display_name":"Yongge Wang","orcid":"https://orcid.org/0000-0002-1403-2922"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Yongge Wang","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5083320238"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5256,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.8200087,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"28","issue":"2","first_page":"394","last_page":"408"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998000264167786,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998000264167786,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9976000189781189,"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":0.9936000108718872,"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/randomness","display_name":"Randomness","score":0.6543502807617188},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6516261696815491},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.630198061466217},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6063156723976135},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5382328629493713},{"id":"https://openalex.org/keywords/law-of-the-iterated-logarithm","display_name":"Law of the iterated logarithm","score":0.5333039164543152},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.5162891745567322},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5110596418380737},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4747096598148346},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.43622517585754395},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34935885667800903},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.32490524649620056},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24316754937171936},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08027911186218262}],"concepts":[{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.6543502807617188},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6516261696815491},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.630198061466217},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6063156723976135},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5382328629493713},{"id":"https://openalex.org/C139907963","wikidata":"https://www.wikidata.org/wiki/Q198740","display_name":"Law of the iterated logarithm","level":3,"score":0.5333039164543152},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.5162891745567322},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5110596418380737},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4747096598148346},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.43622517585754395},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34935885667800903},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.32490524649620056},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24316754937171936},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08027911186218262},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s009753979630235x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s009753979630235x","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.46.5035","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.46.5035","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cacr.math.uwaterloo.ca/~ygwang/papers/SIAM.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.97.2934","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.97.2934","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.sis.uncc.edu/~yonwang/papers/SIAM.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320337350","display_name":"National Eye Institute","ror":"https://ror.org/03wkg3b53"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W56605959","https://openalex.org/W1545923104","https://openalex.org/W1553414369","https://openalex.org/W1584031567","https://openalex.org/W1861312691","https://openalex.org/W1964186004","https://openalex.org/W1986448430","https://openalex.org/W2004243323","https://openalex.org/W2070150049","https://openalex.org/W2077218542","https://openalex.org/W2085283873","https://openalex.org/W2087899564","https://openalex.org/W2106436148","https://openalex.org/W2119378946","https://openalex.org/W2150960963","https://openalex.org/W2175645872","https://openalex.org/W2176419554"],"related_works":["https://openalex.org/W2390681877","https://openalex.org/W2386654567","https://openalex.org/W1981559745","https://openalex.org/W2130361051","https://openalex.org/W2053219677","https://openalex.org/W2138228600","https://openalex.org/W2093933345","https://openalex.org/W2381791002","https://openalex.org/W2255063177","https://openalex.org/W1975939191"],"abstract_inverted_index":{"Polynomial-time":[0],"safe":[1,42,88,183],"and":[2,12,25,43,51,66,89,138,180,184],"unsafe":[3,44,90,147,167,185],"approximations":[4,45,85,148],"for":[5,18,86,101],"intractable":[6],"sets":[7,39,137,142,154],"were":[8],"introduced":[9],"by":[10,128],"Meyer":[11],"Paterson":[13],"[Technical":[14],"Report":[15],"TM-126,":[16],"Laboratory":[17],"Computer":[19,116],"Science,":[20],"MIT,":[21],"Cambridge,":[22],"MA,":[23],"1979]":[24],"Yesha":[26],"[SIAM":[27],"J.":[28],"Comput.,":[29],"12":[30],"(1983),":[31],"pp.":[32,64,76,122],"411--425],":[33],"respectively.":[34],"The":[35],"question":[36],"of":[37,82,97,134,141,160],"which":[38,143],"have":[40,144,149,164],"optimal":[41,83,145,165],"has":[46,105],"been":[47,106],"investigated":[48],"extensively.":[49],"Duris":[50],"Rolim":[52],"[Lecture":[53],"Notes":[54],"in":[55,109,155],"Comput.":[56],"Sci.":[57],"841,":[58],"Springer-Verlag,":[59,71],"Berlin,":[60,72],"New":[61,73],"York,":[62,74],"1994,":[63],"38--51]":[65],"Ambos-Spies":[67],"[Proc.":[68,110],"22nd":[69],"ICALP,":[70],"1995,":[75],"384--392]":[77],"showed":[78],"that":[79,130],"the":[80,87,95,98,132,139,158,173,181],"existence":[81],"polynomial-time":[84,135,146,166,182],"cases":[91],"is":[92],"independent.":[93],"Using":[94],"law":[96],"iterated":[99],"logarithm":[100],"p-random":[102],"sequences":[103],"(which":[104],"recently":[107],"proven":[108],"11th":[111],"Conf.":[112],"Computational":[113],"Complexity,":[114],"IEEE":[115],"Society":[117],"Press,":[118],"Piscataway,":[119],"NJ,":[120],"1996,":[121],"180--189]),":[123],"we":[124],"extend":[125],"this":[126],"observation":[127],"showing":[129],"both":[131],"class":[133,140],"$\\Delta$-levelable":[136],"p-measure":[150],"0.":[151],"Hence":[152],"typical":[153],"E":[156],"(in":[157],"sense":[159],"p-measure)":[161],"do":[162],"not":[163],"approximations.":[168],"We":[169],"will":[170],"also":[171],"establish":[172],"relationship":[174],"between":[175],"resource":[176],"bounded":[177],"genericity":[178],"concepts":[179],"approximation":[186],"concepts.":[187]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}