{"id":"https://openalex.org/W7163035845","doi":"https://doi.org/10.48550/arxiv.2605.30360","title":"Polynomial Histograms for Memory-Efficient Representation of Long-tailed System Distributions","display_name":"Polynomial Histograms for Memory-Efficient Representation of Long-tailed System Distributions","publication_year":2026,"publication_date":"2026-05-14","ids":{"openalex":"https://openalex.org/W7163035845","doi":"https://doi.org/10.48550/arxiv.2605.30360"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.30360","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.30360","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":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.30360","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063761982","display_name":"Murray Stokely","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stokely, Murray","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137516856","display_name":"Tim Hesterberg","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hesterberg, Tim","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114619886","display_name":"Arif Merchant","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Merchant, Arif","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5083207620","display_name":"Nate Coehlo","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Coehlo, Nate","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.6973000168800354,"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"}},"topics":[{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.6973000168800354,"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"}},{"id":"https://openalex.org/T12127","display_name":"Software System Performance and Reliability","score":0.12219999730587006,"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"}},{"id":"https://openalex.org/T10101","display_name":"Cloud Computing and Resource Management","score":0.04820000007748604,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/histogram","display_name":"Histogram","score":0.8658000230789185},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5515000224113464},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4616999924182892},{"id":"https://openalex.org/keywords/bin","display_name":"Bin","score":0.4433000087738037},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.43380001187324524},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.3495999872684479},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.3181999921798706}],"concepts":[{"id":"https://openalex.org/C53533937","wikidata":"https://www.wikidata.org/wiki/Q185020","display_name":"Histogram","level":3,"score":0.8658000230789185},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5515000224113464},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5382999777793884},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4616999924182892},{"id":"https://openalex.org/C156273044","wikidata":"https://www.wikidata.org/wiki/Q4913766","display_name":"Bin","level":2,"score":0.4433000087738037},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.43380001187324524},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42309999465942383},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40700000524520874},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.3495999872684479},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.3181999921798706},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.30959999561309814},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.28369998931884766},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.2825999855995178},{"id":"https://openalex.org/C21080849","wikidata":"https://www.wikidata.org/wiki/Q13611879","display_name":"Data point","level":2,"score":0.27559998631477356},{"id":"https://openalex.org/C138958017","wikidata":"https://www.wikidata.org/wiki/Q190087","display_name":"Data type","level":2,"score":0.2578999996185303},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.25429999828338623},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.2500999867916107}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.30360","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.30360","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":"doi:10.48550/arxiv.2605.30360","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.30360","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":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Distributed":[0],"systems":[1],"must":[2],"frequently":[3],"keep":[4],"track":[5],"of":[6,10,22,32,66,86,97,103,110,134,143],"many":[7,14],"different":[8,15,90],"types":[9],"performance":[11],"metrics":[12,149],"across":[13,54],"computers.":[16],"For":[17],"example,":[18],"the":[19,48,95,111,126],"latency":[20],"distribution":[21,113],"certain":[23],"operations":[24],"may":[25],"be":[26,42],"computed":[27],"for":[28,63,77,130,146,150],"a":[29,60,64,104,151],"large":[30,152],"combination":[31],"computers,":[33],"users,":[34],"and":[35,57,155],"operations.":[36],"These":[37,117],"empirical":[38],"distributions":[39],"need":[40],"to":[41,83,122],"collected":[43],"at":[44,164],"minimal":[45],"expense":[46],"on":[47],"individual":[49],"software":[50],"components,":[51],"efficiently":[52],"aggregated":[53],"multiple":[55],"dimensions,":[56],"stored":[58],"in":[59,114,136],"compact":[61],"representation":[62],"variety":[65],"downstream":[67],"data":[68,79],"analysis":[69],"applications.":[70],"We":[71,93,139],"describe":[72,140],"an":[73,141],"information":[74,87,163],"loss":[75,88],"metric":[76],"binned":[78],"that":[80,115],"allows":[81],"us":[82],"optimize":[84],"cost":[85,129],"from":[89],"histogram":[91,105],"representations.":[92],"explore":[94],"use":[96],"polynomial":[98,118,159],"histograms":[99,119,124,160],"where":[100],"each":[101,137],"bin":[102],"is":[106],"annotated":[107],"with":[108],"moments":[109],"underlying":[112],"bin.":[116,138],"are":[120],"compared":[121],"traditional":[123],"using":[125],"same":[127],"storage":[128],"additional":[131],"bins":[132],"instead":[133],"annotations":[135],"application":[142],"these":[144],"techniques":[145],"file":[147],"system":[148],"production":[153],"system,":[154],"analytically":[156],"characterize":[157],"when":[158],"offer":[161],"more":[162],"lower":[165],"cost.":[166]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-06-02T00:00:00"}
