{"id":"https://openalex.org/W4399881307","doi":"https://doi.org/10.1109/access.2024.3417621","title":"The Landscape of Compressibility Measures for Two-Dimensional Data","display_name":"The Landscape of Compressibility Measures for Two-Dimensional Data","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4399881307","doi":"https://doi.org/10.1109/access.2024.3417621"},"language":"en","primary_location":{"id":"doi:10.1109/access.2024.3417621","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3417621","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2024.3417621","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038686571","display_name":"L. Carfagna","orcid":"https://orcid.org/0009-0005-9591-057X"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Lorenzo Carfagna","raw_affiliation_strings":["Department of Computer Science, University of Pisa, Pisa, Italy"],"raw_orcid":"https://orcid.org/0009-0005-9591-057X","affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049381844","display_name":"Giovanni Manzini","orcid":"https://orcid.org/0000-0002-5047-0196"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giovanni Manzini","raw_affiliation_strings":["Department of Computer Science, University of Pisa, Pisa, Italy"],"raw_orcid":"https://orcid.org/0000-0002-5047-0196","affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I108290504"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.8957,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.779528,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"12","issue":null,"first_page":"87268","last_page":"87283"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9995999932289124,"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":0.9995999932289124,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9787999987602234,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9643999934196472,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/compressibility","display_name":"Compressibility","score":0.5783372521400452},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5253190994262695},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13051867485046387},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.09969896078109741}],"concepts":[{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5783372521400452},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5253190994262695},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13051867485046387},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.09969896078109741}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/access.2024.3417621","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3417621","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:arpi.unipi.it:11568/1272458","is_oa":false,"landing_page_url":"https://hdl.handle.net/11568/1272458","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"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":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:db6ca9f996cb44f487076cdc63ba33f3","is_oa":true,"landing_page_url":"https://doaj.org/article/db6ca9f996cb44f487076cdc63ba33f3","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 12, Pp 87268-87283 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2024.3417621","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3417621","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.47999998927116394,"display_name":"Sustainable cities and communities"},{"id":"https://metadata.un.org/sdg/13","score":0.4000000059604645,"display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W135812852","https://openalex.org/W1963953096","https://openalex.org/W1984398316","https://openalex.org/W2022126655","https://openalex.org/W2057754290","https://openalex.org/W2089446956","https://openalex.org/W2111297109","https://openalex.org/W2149098716","https://openalex.org/W2158097896","https://openalex.org/W2173739051","https://openalex.org/W2765521106","https://openalex.org/W2791622101","https://openalex.org/W2794898040","https://openalex.org/W2963999853","https://openalex.org/W3099135117","https://openalex.org/W3116542221","https://openalex.org/W3125235775","https://openalex.org/W3135348097","https://openalex.org/W4214904110","https://openalex.org/W4240784230","https://openalex.org/W4247794781","https://openalex.org/W4254846883","https://openalex.org/W4386870791","https://openalex.org/W4394737098","https://openalex.org/W6863996493"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2012983134","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4388599312","https://openalex.org/W2090218458","https://openalex.org/W4396701345"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,55,95,105,125,190,246,309],"extend":[4],"to":[5,202],"two-dimensional":[6,58,187,257,321],"data":[7],"two":[8,147,203],"recently":[9],"introduced":[10,260],"one-dimensional":[11,238],"compressibility":[12,188],"measures:":[13],"the":[14,27,32,45,51,57,97,143,146,164,184,192,205,215,237,248,252,256,278,311,320],"<inline-formula":[15,33,60,68,79,87,108,134,151,167,175,194,218,225,288,296],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[16,34,61,69,80,88,109,135,152,168,176,195,219,226,269,289,297],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[17,35,62,70,81,89,110,136,153,169,177,196,220,227,290,298],"<tex-math":[18,36,63,71,82,90,111,137,154,170,178,197,221,228,291,299],"notation=\"LaTeX\">$\\gamma":[19,64,83,171,229,292],"$":[20,38,84,92,172,180],"</tex-math></inline-formula>":[21,39,66,85,114,158,173,199,223,231,294],"measure":[22,40,193],"defined":[23,41],"in":[24,42,121,236,261,284],"terms":[25,43,285],"of":[26,44,47,50,78,99,186,207,243,251,255,286],"smallest":[28],"string":[29],"attractor,":[30],"and":[31,67,86,94,117,124,159,174,224,295,315],"notation=\"LaTeX\">$\\delta":[37,72,91,112,138,179,300],"number":[46],"distinct":[48],"substrings":[49],"input":[52],"string.":[53],"Concretely,":[54],"introduce":[56,191],"measures":[59,148],"_{2D}$":[65,73,113,141,230,293,301],"</tex-math></inline-formula>,":[74,93,142],"as":[75],"natural":[76],"generalizations":[77],"initiate":[96],"study":[98],"their":[100],"properties.":[101],"Among":[102],"other":[103],"things,":[104],"prove":[106,211],"that":[107,133,277],"is":[115,130,232],"monotone":[116],"can":[118,149,281],"be":[119,150,282],"computed":[120],"linear":[122,313],"time,":[123],"show":[126],"that,":[127,212],"although":[128],"it":[129],"still":[131],"true":[132],"_{2D}\\leq":[139],"\\gamma":[140],"gap":[144,165],"between":[145,166,217],"notation=\"LaTeX\">$\\Omega":[155],"(\\sqrt":[156],"{n})$":[157],"therefore":[160],"asymptotically":[161],"larger":[162],"than":[163,235],"</tex-math></inline-formula>.":[181,302],"To":[182],"complete":[183],"scenario":[185],"measures,":[189],"notation=\"LaTeX\">$b_{2D}$":[198,222],"which":[200],"generalizes":[201],"dimensions":[204],"notion":[206],"optimal":[208],"parsing.":[209],"We":[210],"somewhat":[213],"surprisingly,":[214],"relationship":[216],"significantly":[233],"different":[234],"case.":[239],"As":[240],"an":[241],"application":[242],"our":[244,307],"results":[245],"provide":[247],"first":[249,312],"analysis":[250,275],"space":[253,279,316],"usage":[254,280],"block":[258,266,322],"tree":[259,323],"[Brisaboa":[262],"et":[263],"al.,":[264],"Two-dimensional":[265],"trees,":[267],"<italic":[268],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">The":[270],"computer":[271],"Journal</i>,":[272],"2024].":[273],"Our":[274],"shows":[276],"bounded":[283],"both":[287],"Finally,":[303],"using":[304],"insights":[305],"from":[306],"analysis,":[308],"design":[310],"time":[314],"algorithm":[317],"for":[318,324],"constructing":[319],"arbitrary":[325],"matrices.":[326]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}