{"id":"https://openalex.org/W2888933666","doi":"https://doi.org/10.1109/ssp.2018.8450725","title":"Sparsity Problem Involving Rational Basis Functions","display_name":"Sparsity Problem Involving Rational Basis Functions","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2888933666","doi":"https://doi.org/10.1109/ssp.2018.8450725","mag":"2888933666"},"language":"en","primary_location":{"id":"doi:10.1109/ssp.2018.8450725","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ssp.2018.8450725","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Statistical Signal Processing Workshop (SSP)","raw_type":"proceedings-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/A5052379851","display_name":"P\u00e9ter Kov\u00e1cs","orcid":"https://orcid.org/0000-0002-0772-9721"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Peter Kovacs","raw_affiliation_strings":["Department of Numerical Analysis, E\u00f6tv\u00f6s L. University, Budapest, Hungary, Institute of Signal Processing, Johannes Kepler University, Linz, Austria"],"affiliations":[{"raw_affiliation_string":"Department of Numerical Analysis, E\u00f6tv\u00f6s L. University, Budapest, Hungary, Institute of Signal Processing, Johannes Kepler University, Linz, Austria","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5052379851"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08612345,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":null,"first_page":"618","last_page":"622"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9975000023841858,"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/rational-function","display_name":"Rational function","score":0.640444815158844},{"id":"https://openalex.org/keywords/coherence","display_name":"Coherence (philosophical gambling strategy)","score":0.6396986842155457},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5874541401863098},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.565890371799469},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5658268928527832},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5228258371353149},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5226925611495972},{"id":"https://openalex.org/keywords/mutual-coherence","display_name":"Mutual coherence","score":0.5153981447219849},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4929389953613281},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.45040613412857056},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.44550976157188416},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4367189407348633},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4027150571346283},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39451277256011963},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3488166928291321},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32613521814346313},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.1493833363056183},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11910000443458557},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06994539499282837},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06936752796173096}],"concepts":[{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.640444815158844},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.6396986842155457},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5874541401863098},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.565890371799469},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5658268928527832},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5228258371353149},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5226925611495972},{"id":"https://openalex.org/C45900066","wikidata":"https://www.wikidata.org/wiki/Q6944191","display_name":"Mutual coherence","level":3,"score":0.5153981447219849},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4929389953613281},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.45040613412857056},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.44550976157188416},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4367189407348633},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4027150571346283},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39451277256011963},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3488166928291321},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32613521814346313},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.1493833363056183},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11910000443458557},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06994539499282837},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06936752796173096},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ssp.2018.8450725","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ssp.2018.8450725","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Statistical Signal Processing Workshop (SSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W565862821","https://openalex.org/W1902968971","https://openalex.org/W1981211771","https://openalex.org/W1991724591","https://openalex.org/W2021302824","https://openalex.org/W2078204800","https://openalex.org/W2080138696","https://openalex.org/W2100556411","https://openalex.org/W2102360888","https://openalex.org/W2103308415","https://openalex.org/W2115706991","https://openalex.org/W2116148865","https://openalex.org/W2135046866","https://openalex.org/W2147656689","https://openalex.org/W2151693816","https://openalex.org/W2153392848","https://openalex.org/W2162800060","https://openalex.org/W2291205217","https://openalex.org/W2530917246","https://openalex.org/W2733661774","https://openalex.org/W2785174417","https://openalex.org/W3037830703","https://openalex.org/W4235848843","https://openalex.org/W4246726188","https://openalex.org/W6680156768","https://openalex.org/W6697136554","https://openalex.org/W6728603987","https://openalex.org/W6879932541"],"related_works":["https://openalex.org/W2902209636","https://openalex.org/W2964084357","https://openalex.org/W2141410487","https://openalex.org/W2689085128","https://openalex.org/W2039247065","https://openalex.org/W2535424933","https://openalex.org/W2548848145","https://openalex.org/W1505436420","https://openalex.org/W2010752161","https://openalex.org/W2210292134"],"abstract_inverted_index":{"In":[0,28],"this":[1,45,59],"paper":[2],"we":[3,37,77],"consider":[4],"the":[5,32,55,66,70,79],"problem":[6],"of":[7,13,24,42,54,73,81],"sparse":[8,82],"signal":[9,33],"modeling":[10],"by":[11,20,85],"means":[12],"rational":[14,26,74,83],"functions.":[15,27,75],"Our":[16],"dictionary":[17],"is":[18,50],"composed":[19],"a":[21,51],"finite":[22],"collection":[23],"elementary":[25],"order":[29],"to":[30,65],"represent":[31],"with":[34,92],"minimal":[35],"error,":[36],"select":[38],"an":[39],"optimal":[40],"number":[41],"basis":[43],"from":[44],"set.":[46],"The":[47],"mutual":[48],"coherence":[49],"fundamental":[52],"attribute":[53],"dictionary.":[56],"We":[57],"analyze":[58],"quantity":[60],"and":[61],"describe":[62],"its":[63],"relation":[64],"free":[67],"parameters,":[68],"i.e.,":[69],"inverse":[71],"poles,":[72],"Then,":[76],"demonstrate":[78],"efficiency":[80],"representations":[84],"compressing":[86],"real":[87],"electrocardiograms":[88],"(ECG)":[89],"including":[90],"comparisons":[91],"other":[93],"methods.":[94]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}