{"id":"https://openalex.org/W4416931766","doi":"https://doi.org/10.48550/arxiv.2511.23363","title":"Homomorphism Testing with Resilience to Online Manipulations","display_name":"Homomorphism Testing with Resilience to Online Manipulations","publication_year":2025,"publication_date":"2025-11-28","ids":{"openalex":"https://openalex.org/W4416931766","doi":"https://doi.org/10.48550/arxiv.2511.23363"},"language":null,"primary_location":{"id":"pmh:oai:arXiv.org:2511.23363","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2511.23363","pdf_url":"https://arxiv.org/pdf/2511.23363","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2511.23363","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028191415","display_name":"Esty Kelman","orcid":"https://orcid.org/0009-0007-4962-848X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kelman, Esty","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019641705","display_name":"Uri Meir","orcid":"https://orcid.org/0009-0003-4274-346X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Meir, Uri","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5120679096","display_name":"Debanuj Nayak","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nayak, Debanuj","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5080839778","display_name":"Sofya Raskhodnikova","orcid":"https://orcid.org/0000-0002-4902-050X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Raskhodnikova, Sofya","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5028191415"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"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":0.5708000063896179,"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":0.5708000063896179,"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/T10237","display_name":"Cryptography and Data Security","score":0.1979999989271164,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.026900000870227814,"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/homomorphism","display_name":"Homomorphism","score":0.8203999996185303},{"id":"https://openalex.org/keywords/adversarial-system","display_name":"Adversarial system","score":0.5882999897003174},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5717999935150146},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5472999811172485},{"id":"https://openalex.org/keywords/linearity","display_name":"Linearity","score":0.5187000036239624},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4693000018596649},{"id":"https://openalex.org/keywords/adversary","display_name":"Adversary","score":0.44690001010894775},{"id":"https://openalex.org/keywords/resilience","display_name":"Resilience (materials science)","score":0.39100000262260437},{"id":"https://openalex.org/keywords/property-testing","display_name":"Property testing","score":0.3815000057220459},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.3781000077724457}],"concepts":[{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.8203999996185303},{"id":"https://openalex.org/C37736160","wikidata":"https://www.wikidata.org/wiki/Q1801315","display_name":"Adversarial system","level":2,"score":0.5882999897003174},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5717999935150146},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5472999811172485},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5404000282287598},{"id":"https://openalex.org/C77170095","wikidata":"https://www.wikidata.org/wiki/Q1753188","display_name":"Linearity","level":2,"score":0.5187000036239624},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5121999979019165},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48249998688697815},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4693000018596649},{"id":"https://openalex.org/C41065033","wikidata":"https://www.wikidata.org/wiki/Q2825412","display_name":"Adversary","level":2,"score":0.44690001010894775},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4020000100135803},{"id":"https://openalex.org/C2779585090","wikidata":"https://www.wikidata.org/wiki/Q3457762","display_name":"Resilience (materials science)","level":2,"score":0.39100000262260437},{"id":"https://openalex.org/C123842658","wikidata":"https://www.wikidata.org/wiki/Q2918980","display_name":"Property testing","level":2,"score":0.3815000057220459},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.3781000077724457},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.37459999322891235},{"id":"https://openalex.org/C7606001","wikidata":"https://www.wikidata.org/wiki/Q4686702","display_name":"Adversary model","level":3,"score":0.3626999855041504},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.3594000041484833},{"id":"https://openalex.org/C145054310","wikidata":"https://www.wikidata.org/wiki/Q212803","display_name":"Algebraic topology","level":3,"score":0.3506999909877777},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.34950000047683716},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.3456000089645386},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.34130001068115234},{"id":"https://openalex.org/C147343967","wikidata":"https://www.wikidata.org/wiki/Q5159078","display_name":"Concrete security","level":3,"score":0.32839998602867126},{"id":"https://openalex.org/C62989814","wikidata":"https://www.wikidata.org/wiki/Q854648","display_name":"Gossip","level":2,"score":0.3154999911785126},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.30979999899864197},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.2987000048160553},{"id":"https://openalex.org/C2777267654","wikidata":"https://www.wikidata.org/wiki/Q3519023","display_name":"Test (biology)","level":2,"score":0.29350000619888306},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.2833000123500824},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2718999981880188},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.2685999870300293},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.2680000066757202},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.258899986743927},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25859999656677246},{"id":"https://openalex.org/C136003732","wikidata":"https://www.wikidata.org/wiki/Q3854337","display_name":"Algebraic operation","level":3,"score":0.25450000166893005}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2511.23363","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2511.23363","pdf_url":"https://arxiv.org/pdf/2511.23363","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2511.23363","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2511.23363","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2511.23363","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2511.23363","pdf_url":"https://arxiv.org/pdf/2511.23363","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"A":[0,15],"central":[1],"challenge":[2],"in":[3,71,119,177],"property":[4,180],"testing":[5,38,115,176,181],"is":[6,126,137,143],"verifying":[7,213],"algebraic":[8,39],"structure":[9],"with":[10,184],"minimal":[11],"access":[12,62],"to":[13,47,63,201],"data.":[14],"landmark":[16],"result":[17,125,158],"addressing":[18],"this":[19,120],"challenge,":[20],"the":[21,64,88,105,111,138,144,149,160,178,214],"linearity":[22,43,196],"test":[23],"of":[24,35,84,113,146,212,220,228,248],"Blum,":[25],"Luby,":[26,167],"and":[27,44,50,81,141,168,205,226],"Rubinfeld":[28,169],"(JCSS":[29],"`93),":[30],"spurred":[31],"a":[32,185,218,233],"rich":[33],"body":[34],"work":[36],"on":[37,104],"properties":[40,58],"such":[41],"as":[42],"its":[45],"generalizations":[46],"low-degree":[48],"polynomials":[49],"group":[51,203],"homomorphisms.":[52],"However,":[53],"classical":[54],"tests":[55],"for":[56,116,174,198,217,235,245],"these":[57],"assume":[59],"unrestricted,":[60],"noise-free":[61],"input":[65],"function--an":[66],"assumption":[67],"that":[68,130],"breaks":[69],"down":[70],"adversarial":[72],"or":[73,97,153],"dynamic":[74],"settings.":[75],"To":[76],"address":[77],"this,":[78],"Kalemaj,":[79],"Raskhodnikova,":[80],"Varma":[82],"(Theory":[83],"Computing":[85],"`23)":[86],"introduced":[87],"online":[89,121],"manipulation":[90],"model,":[91,182],"where":[92,135],"an":[93,127],"adversary":[94,150],"may":[95],"erase":[96,152],"corrupt":[98,154],"query":[99,243],"responses":[100],"over":[101],"time,":[102],"based":[103],"tester's":[106],"past":[107],"queries.":[108],"We":[109,238],"initiate":[110],"study":[112],"{manipulation-resilient}":[114],"{group":[117],"homomorphism}":[118],"model.":[122],"Our":[123,157,188],"main":[124],"{optimal}":[128],"tester":[129],"makes":[131],"$O(1/\\varepsilon+\\log":[132],"t)$":[133],"queries,":[134],"$\\varepsilon$":[136],"distance":[139],"parameter":[140],"$t$":[142],"number":[145],"function":[147],"values":[148],"can":[151],"per":[155],"query.":[156],"recovers":[159],"celebrated":[161],"$O(1/\\varepsilon)$":[162],"bound":[163],"by":[164,207],"Ben-Or,":[165],"Coppersmith,":[166],"(Random":[170],"Struct.\\":[171],"Algorithms":[172],"`08)":[173],"homomorphism":[175,215],"standard":[179],"albeit":[183],"different":[186],"tester.":[187],"tester,":[189],"$\\mathsf{Random\\":[190],"Signs\\":[191],"Test}$,":[192],"{lifts}":[193],"known":[194],"manipulation-resilient":[195],"testers":[197],"$\\mathbb{F}_2^n\\to":[199],"\\mathbb{F}_2$":[200],"general":[202],"domains":[204],"codomains":[206],"introducing":[208],"more":[209],"randomness:":[210],"instead":[211],"condition":[216],"sum":[219],"random":[221,229],"elements,":[222,230],"it":[223],"uses":[224],"additions":[225],"subtractions":[227],"randomly":[231],"selecting":[232],"sign":[234],"each":[236],"element.":[237],"also":[239],"obtain":[240],"improved":[241],"group-specific":[242],"bounds":[244],"key":[246],"families":[247],"groups.":[249]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-12-03T00:00:00"}