{"id":"https://openalex.org/W3105721664","doi":"https://doi.org/10.3390/a13110295","title":"Spectrum-Adapted Polynomial Approximation for Matrix Functions with Applications in Graph Signal Processing","display_name":"Spectrum-Adapted Polynomial Approximation for Matrix Functions with Applications in Graph Signal Processing","publication_year":2020,"publication_date":"2020-11-13","ids":{"openalex":"https://openalex.org/W3105721664","doi":"https://doi.org/10.3390/a13110295","mag":"3105721664"},"language":"en","primary_location":{"id":"doi:10.3390/a13110295","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a13110295","pdf_url":"https://www.mdpi.com/1999-4893/13/11/295/pdf?version=1605277339","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/13/11/295/pdf?version=1605277339","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003191763","display_name":"Tiffany Fan","orcid":"https://orcid.org/0000-0002-7598-9218"},"institutions":[{"id":"https://openalex.org/I4210138427","display_name":"Computational Physics (United States)","ror":"https://ror.org/03grsxg62","country_code":"US","type":"company","lineage":["https://openalex.org/I4210138427"]},{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tiffany Fan","raw_affiliation_strings":["Institute for Computational &amp; Mathematical Engineering, Stanford University, Stanford, CA 94305, USA"],"affiliations":[{"raw_affiliation_string":"Institute for Computational &amp; Mathematical Engineering, Stanford University, Stanford, CA 94305, USA","institution_ids":["https://openalex.org/I4210138427","https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018622110","display_name":"David I Shuman","orcid":"https://orcid.org/0000-0002-1989-3190"},"institutions":[{"id":"https://openalex.org/I5444425","display_name":"Macalester College","ror":"https://ror.org/04fceqm38","country_code":"US","type":"education","lineage":["https://openalex.org/I5444425"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"David I. Shuman","raw_affiliation_strings":["Department of Mathematics, Statistics, and Computer Science, Macalester College, St. Paul, MN 55105, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics, and Computer Science, Macalester College, St. Paul, MN 55105, USA","institution_ids":["https://openalex.org/I5444425"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091108132","display_name":"Shashanka Ubaru","orcid":"https://orcid.org/0000-0001-6942-7158"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shashanka Ubaru","raw_affiliation_strings":["IBM T.J. Watson Research Center, Yorktown Heights, NY 10598, USA"],"affiliations":[{"raw_affiliation_string":"IBM T.J. Watson Research Center, Yorktown Heights, NY 10598, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016419713","display_name":"Yousef Saad","orcid":"https://orcid.org/0000-0002-8614-5360"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yousef Saad","raw_affiliation_strings":["Department of Computer Science and Engineering, University of Minnesota, Minneapolis, MN 55455, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, University of Minnesota, Minneapolis, MN 55455, USA","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5018622110"],"corresponding_institution_ids":["https://openalex.org/I5444425"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.1326,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.56220337,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"11","first_page":"295","last_page":"295"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9997000098228455,"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.9997000098228455,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9775999784469604,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9557999968528748,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.7475767135620117},{"id":"https://openalex.org/keywords/lanczos-resampling","display_name":"Lanczos resampling","score":0.7064287662506104},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6850529909133911},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.6082398295402527},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5139038562774658},{"id":"https://openalex.org/keywords/integral-graph","display_name":"Integral graph","score":0.5078807473182678},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4824543595314026},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.46143102645874023},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45210856199264526},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4459199607372284},{"id":"https://openalex.org/keywords/eigendecomposition-of-a-matrix","display_name":"Eigendecomposition of a matrix","score":0.4337230920791626},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.42957520484924316},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4222363829612732},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3903564512729645},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3145526945590973},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2536659836769104},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19062572717666626},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17247381806373596},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.15931165218353271},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.13338696956634521}],"concepts":[{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.7475767135620117},{"id":"https://openalex.org/C119256216","wikidata":"https://www.wikidata.org/wiki/Q913012","display_name":"Lanczos resampling","level":3,"score":0.7064287662506104},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6850529909133911},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.6082398295402527},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5139038562774658},{"id":"https://openalex.org/C204710682","wikidata":"https://www.wikidata.org/wiki/Q3036983","display_name":"Integral graph","level":5,"score":0.5078807473182678},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4824543595314026},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.46143102645874023},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45210856199264526},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4459199607372284},{"id":"https://openalex.org/C169756996","wikidata":"https://www.wikidata.org/wiki/Q194919","display_name":"Eigendecomposition of a matrix","level":3,"score":0.4337230920791626},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.42957520484924316},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4222363829612732},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3903564512729645},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3145526945590973},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2536659836769104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19062572717666626},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17247381806373596},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.15931165218353271},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.13338696956634521},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/a13110295","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a13110295","pdf_url":"https://www.mdpi.com/1999-4893/13/11/295/pdf?version=1605277339","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:2147c06644794545b9d1dccafd842f16","is_oa":true,"landing_page_url":"https://doaj.org/article/2147c06644794545b9d1dccafd842f16","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 13, Iss 11, p 295 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1999-4893/13/11/295/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/a13110295","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Algorithms; Volume 13; Issue 11; Pages: 295","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a13110295","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a13110295","pdf_url":"https://www.mdpi.com/1999-4893/13/11/295/pdf?version=1605277339","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3105721664.pdf","grobid_xml":"https://content.openalex.org/works/W3105721664.grobid-xml"},"referenced_works_count":67,"referenced_works":["https://openalex.org/W38816153","https://openalex.org/W602904462","https://openalex.org/W603018635","https://openalex.org/W1483804921","https://openalex.org/W1485063553","https://openalex.org/W1491300635","https://openalex.org/W1491884104","https://openalex.org/W1593505867","https://openalex.org/W1595344052","https://openalex.org/W1975299137","https://openalex.org/W1990740326","https://openalex.org/W1995547833","https://openalex.org/W1997906157","https://openalex.org/W2010431242","https://openalex.org/W2010652522","https://openalex.org/W2016982898","https://openalex.org/W2017934920","https://openalex.org/W2022615414","https://openalex.org/W2024211806","https://openalex.org/W2035080386","https://openalex.org/W2042545789","https://openalex.org/W2044543226","https://openalex.org/W2057602562","https://openalex.org/W2060090483","https://openalex.org/W2064769982","https://openalex.org/W2083796947","https://openalex.org/W2089703809","https://openalex.org/W2096045964","https://openalex.org/W2101491865","https://openalex.org/W2106565812","https://openalex.org/W2108214478","https://openalex.org/W2109028745","https://openalex.org/W2117569556","https://openalex.org/W2126759246","https://openalex.org/W2150150879","https://openalex.org/W2158787690","https://openalex.org/W2179147795","https://openalex.org/W2252984395","https://openalex.org/W2346816364","https://openalex.org/W2461939514","https://openalex.org/W2492608700","https://openalex.org/W2511396348","https://openalex.org/W2549608552","https://openalex.org/W2558748708","https://openalex.org/W2565892512","https://openalex.org/W2610174843","https://openalex.org/W2616297073","https://openalex.org/W2740668284","https://openalex.org/W2750001921","https://openalex.org/W2764280570","https://openalex.org/W2781888589","https://openalex.org/W2962924264","https://openalex.org/W2963482381","https://openalex.org/W2963629755","https://openalex.org/W2963738599","https://openalex.org/W3036639299","https://openalex.org/W3096037331","https://openalex.org/W3101832732","https://openalex.org/W4230094094","https://openalex.org/W4246047487","https://openalex.org/W4254246953","https://openalex.org/W4312258136","https://openalex.org/W6636593567","https://openalex.org/W6652973069","https://openalex.org/W6691212913","https://openalex.org/W6719172620","https://openalex.org/W6737616324"],"related_works":["https://openalex.org/W2357291060","https://openalex.org/W1484683478","https://openalex.org/W3141416395","https://openalex.org/W1981950143","https://openalex.org/W147306372","https://openalex.org/W2145713479","https://openalex.org/W2014691009","https://openalex.org/W1987381380","https://openalex.org/W2788045535","https://openalex.org/W2962818961"],"abstract_inverted_index":{"We":[0,117],"propose":[1],"and":[2,28,47,81,100,112,139],"investigate":[3],"two":[4],"new":[5],"methods":[6,37,75,87],"to":[7,39,73,89,125],"approximate":[8,57],"f(A)b":[9,95],"for":[10,101],"large,":[11],"sparse,":[12],"Hermitian":[13],"matrices":[14,102],"A.":[15],"Computations":[16],"of":[17,45,51,63,70,94,108,122,129,132,143],"this":[18],"form":[19],"play":[20],"an":[21],"important":[22],"role":[23],"in":[24],"numerous":[25],"signal":[26],"processing":[27],"machine":[29],"learning":[30],"tasks.":[31],"The":[32],"main":[33],"idea":[34],"behind":[35],"both":[36],"is":[38],"first":[40],"estimate":[41],"the":[42,58,64,78,85,120,130],"spectral":[43,115,135],"density":[44,69],"A,":[46],"then":[48],"find":[49],"polynomials":[50],"a":[52,67,105,113],"fixed":[53],"order":[54],"that":[55],"better":[56],"function":[59],"f":[60],"on":[61],"areas":[62],"spectrum":[65],"with":[66,104],"higher":[68],"eigenvalues.":[71],"Compared":[72],"state-of-the-art":[74],"such":[76],"as":[77],"Lanczos":[79],"method":[80],"truncated":[82],"Chebyshev":[83],"expansion,":[84],"proposed":[86],"tend":[88],"provide":[90],"more":[91],"accurate":[92],"approximations":[93],"at":[96],"lower":[97],"polynomial":[98],"orders,":[99],"A":[103],"large":[106],"number":[107],"distinct":[109],"interior":[110],"eigenvalues":[111],"small":[114],"width.":[116],"also":[118],"explore":[119],"application":[121],"these":[123],"techniques":[124],"(i)":[126],"fast":[127,141],"estimation":[128],"norms":[131],"localized":[133],"graph":[134],"filter":[136],"dictionary":[137],"atoms,":[138],"(ii)":[140],"filtering":[142],"time-vertex":[144],"signals.":[145]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2020-11-23T00:00:00"}
