{"id":"https://openalex.org/W4288096832","doi":"https://doi.org/10.48550/arxiv.2207.12514","title":"Testing of Index-Invariant Properties in the Huge Object Model","display_name":"Testing of Index-Invariant Properties in the Huge Object Model","publication_year":2022,"publication_date":"2022-07-25","ids":{"openalex":"https://openalex.org/W4288096832","doi":"https://doi.org/10.48550/arxiv.2207.12514"},"language":"en","primary_location":{"id":"pmh:oai:wrap.warwick.ac.uk:181768","doi":null,"is_oa":false,"landing_page_url":"https://proceedings.mlr.press/v195/chakraborty23a.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Conference Item"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2207.12514","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101626747","display_name":"Sourav Chakraborty","orcid":"https://orcid.org/0000-0001-9518-6204","observed_orcids":["https://orcid.org/0000-0001-9518-6204"]},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Chakraborty, Sourav","raw_affiliation_strings":["Indian Statistical Institute , Kolkata , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Statistical Institute , Kolkata , India","institution_ids":["https://openalex.org/I6498739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110904672","display_name":"Eldar Fischer","orcid":"https://orcid.org/0009-0004-1009-8272","observed_orcids":["https://orcid.org/0009-0004-1009-8272"]},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Fischer, Eldar","raw_affiliation_strings":["Technion -Israel Institute of Technology , Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technion -Israel Institute of Technology , Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101861796","display_name":"Arijit Ghosh","orcid":"https://orcid.org/0000-0002-2821-265X","observed_orcids":["https://orcid.org/0000-0002-2821-265X"]},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ghosh, Arijit","raw_affiliation_strings":["Indian Statistical Institute , Kolkata , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Statistical Institute , Kolkata , India","institution_ids":["https://openalex.org/I6498739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020352999","display_name":"Gopinath Mishra","orcid":"https://orcid.org/0000-0003-0540-0292","observed_orcids":["https://orcid.org/0000-0003-0540-0292"]},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Mishra, Gopinath","raw_affiliation_strings":["University of Warwick , UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Warwick , UK","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080670450","display_name":"Sayantan Sen","orcid":"https://orcid.org/0000-0001-5875-5252","observed_orcids":["https://orcid.org/0000-0001-5875-5252"]},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sen, Sayantan","raw_affiliation_strings":["Indian Statistical Institute , Kolkata , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Statistical Institute , Kolkata , India","institution_ids":["https://openalex.org/I6498739"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9474,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.67418033,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.4269999861717224,"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":0.4269999861717224,"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":0.0471000000834465,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.04699999839067459,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/distribution-testing","display_name":"distribution testing","score":0.8859999775886536},{"id":"https://openalex.org/keywords/property-testing","display_name":"property testing","score":0.8299999833106995},{"id":"https://openalex.org/keywords/vc-dimension","display_name":"VC dimension","score":0.9200000166893005},{"id":"https://openalex.org/keywords/hamming-cube","display_name":"Hamming cube","score":0.6549999713897705},{"id":"https://openalex.org/keywords/query-complexity","display_name":"query complexity","score":0.4860000014305115},{"id":"https://openalex.org/keywords/sample-complexity","display_name":"sample complexity","score":0.8700000047683716},{"id":"https://openalex.org/keywords/tightness-of-bounds","display_name":"tightness of bounds","score":0.47099998593330383}],"concepts":[{"id":"https://openalex.org/C123842658","wikidata":"https://www.wikidata.org/wiki/Q2918980","display_name":"Property testing","level":2,"score":0.7842757701873779},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5844337940216064},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5092026591300964},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.5043820142745972},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49286723136901855},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4516465365886688},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.43189141154289246},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.42262449860572815},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.42254698276519775},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42089200019836426},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41468796133995056},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3264588713645935},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:wrap.warwick.ac.uk:181768","doi":null,"is_oa":false,"landing_page_url":"https://proceedings.mlr.press/v195/chakraborty23a.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Conference Item"},{"id":"pmh:oai:arXiv.org:2207.12514","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2207.12514","pdf_url":"https://arxiv.org/pdf/2207.12514","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2207.12514","doi":"https://doi.org/10.48550/arxiv.2207.12514","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2207.12514","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.82444/warw.33881101","doi":"https://doi.org/10.82444/warw.33881101","is_oa":true,"landing_page_url":"https://doi.org/10.82444/warw.33881101","pdf_url":null,"source":{"id":"https://openalex.org/S7407060609","display_name":"University of Warwick","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"ConferenceProceeding"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2207.12514","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2207.12514","pdf_url":"https://arxiv.org/pdf/2207.12514","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3988182707","display_name":"Theoretical Foundations of Modern Parallel and Distributed Algorithms","funder_award_id":"EP/V01305X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4288096832.pdf","grobid_xml":"https://content.openalex.org/works/W4288096832.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7024884744","https://openalex.org/W4411319904","https://openalex.org/W3203434505","https://openalex.org/W4386357222","https://openalex.org/W4382618845","https://openalex.org/W7098801502","https://openalex.org/W7099599841","https://openalex.org/W2887513363","https://openalex.org/W4409665167","https://openalex.org/W6947713960"],"abstract_inverted_index":{"Distribution":[0],"testing":[1,30,400],"is":[2,49,65,254,287,296,318,401],"a":[3,57,62,77,93,136,175,178,188,223,232,268,284,291,322],"central":[4],"part":[5,324],"of":[6,111,139,177,181,190,193,236,247,250,256,298,306,312,325,332,334,361],"property":[7,387],"testing,":[8],"with":[9,366],"applications":[10],"to":[11,40,231,289],"various":[12],"research":[13],"areas,":[14],"such":[15],"as":[16,205],"computational":[17],"and":[18,23,71,141,151,253,309,375,395],"statistical":[19],"learning,":[20],"information":[21],"theory,":[22],"probabilistic":[24],"program":[25],"checking.":[26],"The":[27,234],"original":[28],"distribution":[29,39,46,168,182,212,217,252,264],"model":[31,78,134,166],"relies":[32],"on":[33,244,315],"samples":[34,64,87],"drawn":[35],"independently":[36],"from":[37],"the":[38,45,51,80,86,99,131,145,163,191,194,207,240,245,248,251,304,307,316,330,350,359,367,390],"be":[41,90,114,128,227,345],"tested.":[42],"However,":[43],"when":[44],"in":[47,84,92,130,196,210,349,358],"question":[48,331],"over":[50,218],"n-dimensional":[52],"Hamming":[53],"cube":[54],"\u0142eft{0,1\\right}n":[55],"for":[56,162,167,262,337,354,378,388,399],"large":[58],"n,":[59],"even":[60],"reading":[61],"few":[63,94],"infeasible.":[66],"To":[67,170,272],"address":[68,329],"this,":[69],"Goldreich":[70],"Ron":[72],"ITCS":[73],"2022":[74],"have":[75],"defined":[76],"called":[79],"\\emph{huge":[81],"object":[82,165],"model},":[83],"which":[85,389],"may":[88],"only":[89,243,280,283],"queried":[91],"places.For":[95],"any":[96],"sample/query":[97,133],"model,":[98],"following":[100],"three":[101],"questions":[102,161],"are":[103,185],"considered":[104],"fundamental:":[105],"{\\bf":[106,117,142],"(i)}":[107],"understand":[108,144],"what":[109],"classes":[110],"objects":[112],"can":[113,127,226,344],"\u201clearned":[115],"\\emph{easily}\",":[116],"(ii)}":[118],"characterize":[119],"{\\em":[120,146,149,152],"testable":[121],"properties},":[122],"that":[123,126,184,215,266,278,303,342],"is,":[124],"properties":[125,183,265],"tested":[129],"given":[132],"using":[135],"constant":[137],"number":[138,235],"samples/queries,":[140],"(iii)}":[143],"gap}":[147],"between":[148,373,393],"adaptive}":[150],"non-adaptive}":[153],"query/sample":[154],"complexities.In":[155],"this":[156,274,326],"work,":[157,327],"we":[158,173,276,301,328,383],"study":[159,176],"these":[160],"huge":[164],"testing.":[169,339],"do":[171],"so,":[172],"initiate":[174],"general":[179,379],"class":[180],"invariant":[186],"under":[187],"permutation":[189],"indices":[192],"vectors":[195],"$\\left\\{0,1\\right\\}^{n}$,":[197],"while":[198],"still":[199],"not":[200],"being":[201],"necessarily":[202],"fully":[203],"symmetric":[204],"per":[206],"definition":[208],"used":[209],"traditional":[211],"testing.We":[213],"prove":[214,302],"every":[216],"$\\left\\{0,1\\right\\}^{n}$":[219],"whose":[220,293],"support":[221,249],"has":[222],"bounded":[224],"VC-dimension":[225,246,270,285,317],"efficiently":[228],"learned":[229],"up":[230],"permutation.":[233],"queries":[237,335,352],"made":[238],"by":[239],"algorithm":[241],"depends":[242],"independent":[255,297],"$n$.":[257,299],"This":[258,364],"gives":[259],"efficient":[260],"testers":[261,377],"index-invariant":[263,362,386],"admit":[267],"global":[269],"bound.":[271],"complement":[273],"result,":[275],"argue":[277],"satisfying":[279],"index-invariance":[281],"or":[282],"bound":[286],"insufficient":[288],"guarantee":[290],"tester":[292,314,357],"query":[294,310,397],"complexity":[295],"Moreover,":[300],"dependency":[305],"sample":[308],"complexities":[311,398],"our":[313],"essentially":[319],"tight.":[320,403],"As":[321],"second":[323],"thenumber":[333],"required":[336,353],"non-adaptive":[338,376,396],"We":[340],"show":[341],"it":[343],"at":[346],"most":[347],"quadratic":[348,391],"numberof":[351],"an":[355,385],"adaptive":[356,374,394],"case":[360],"properties.":[363,381],"contrasts":[365],"tight":[368],"(easily":[369],"provable)":[370],"exponential":[371],"gap":[372,392],"non-index-invariant":[380],"Finally,":[382],"provide":[384],"almost":[402]},"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2022-07-28T00:00:00"}