{"id":"https://openalex.org/W2149409888","doi":"https://doi.org/10.1007/s00453-009-9383-3","title":"Signature Theory in Holographic Algorithms","display_name":"Signature Theory in Holographic Algorithms","publication_year":2009,"publication_date":"2009-12-30","ids":{"openalex":"https://openalex.org/W2149409888","doi":"https://doi.org/10.1007/s00453-009-9383-3","mag":"2149409888"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-009-9383-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-009-9383-3","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","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/A5101599971","display_name":"Jin\u2010Yi Cai","orcid":"https://orcid.org/0009-0003-0675-6060"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jin-Yi Cai","raw_affiliation_strings":["Computer Sciences Department, University of Wisconsin, Madison, WI, 53706, USA"],"affiliations":[{"raw_affiliation_string":"Computer Sciences Department, University of Wisconsin, Madison, WI, 53706, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025408809","display_name":"Pinyan Lu","orcid":"https://orcid.org/0009-0005-0569-4122"},"institutions":[{"id":"https://openalex.org/I4210113369","display_name":"Microsoft Research Asia (China)","ror":"https://ror.org/0300m5276","country_code":"CN","type":"company","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210113369"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Pinyan Lu","raw_affiliation_strings":["Microsoft Research Asia, Beijing, 100190, China"],"affiliations":[{"raw_affiliation_string":"Microsoft Research Asia, Beijing, 100190, China","institution_ids":["https://openalex.org/I4210113369"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025408809"],"corresponding_institution_ids":["https://openalex.org/I4210113369"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.2928,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.64784967,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"61","issue":"4","first_page":"779","last_page":"816"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9986000061035156,"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":0.9929999709129333,"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/realizability","display_name":"Realizability","score":0.9751396179199219},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7225174903869629},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6880034804344177},{"id":"https://openalex.org/keywords/signature","display_name":"Signature (topology)","score":0.6723858714103699},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5514578819274902},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5369424819946289},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5254988670349121},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4684923589229584},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46470561623573303},{"id":"https://openalex.org/keywords/holography","display_name":"Holography","score":0.4446667432785034},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.42704129219055176},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42285674810409546},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3580331802368164},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.31433987617492676},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.169703871011734},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0756748616695404}],"concepts":[{"id":"https://openalex.org/C2776378722","wikidata":"https://www.wikidata.org/wiki/Q3454417","display_name":"Realizability","level":2,"score":0.9751396179199219},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7225174903869629},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6880034804344177},{"id":"https://openalex.org/C2779696439","wikidata":"https://www.wikidata.org/wiki/Q7512811","display_name":"Signature (topology)","level":2,"score":0.6723858714103699},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5514578819274902},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5369424819946289},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5254988670349121},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4684923589229584},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46470561623573303},{"id":"https://openalex.org/C187590223","wikidata":"https://www.wikidata.org/wiki/Q527628","display_name":"Holography","level":2,"score":0.4446667432785034},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.42704129219055176},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42285674810409546},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3580331802368164},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31433987617492676},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.169703871011734},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0756748616695404},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00453-009-9383-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-009-9383-3","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W105846551","https://openalex.org/W1498068067","https://openalex.org/W1524834675","https://openalex.org/W1533712308","https://openalex.org/W1587478820","https://openalex.org/W1653035750","https://openalex.org/W1967451470","https://openalex.org/W1971935176","https://openalex.org/W1978245109","https://openalex.org/W2003995429","https://openalex.org/W2006128143","https://openalex.org/W2007042638","https://openalex.org/W2026135987","https://openalex.org/W2032292489","https://openalex.org/W2036481581","https://openalex.org/W2045616322","https://openalex.org/W2049120748","https://openalex.org/W2065813152","https://openalex.org/W2066577300","https://openalex.org/W2075508548","https://openalex.org/W2084341218","https://openalex.org/W2096486078","https://openalex.org/W2096891389","https://openalex.org/W2123280677","https://openalex.org/W2146108223","https://openalex.org/W2170913548","https://openalex.org/W2175558056","https://openalex.org/W2191109593","https://openalex.org/W2293541501","https://openalex.org/W2402664640","https://openalex.org/W2800024591","https://openalex.org/W2912949090","https://openalex.org/W4251672886"],"related_works":["https://openalex.org/W1603488308","https://openalex.org/W4298120007","https://openalex.org/W2136737082","https://openalex.org/W2321910655","https://openalex.org/W3173554384","https://openalex.org/W1517224694","https://openalex.org/W1857750633","https://openalex.org/W2051968535","https://openalex.org/W2033443491","https://openalex.org/W2963559218"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}