{"id":"https://openalex.org/W2885015274","doi":"https://doi.org/10.1007/978-3-319-97136-0_14","title":"Karhunen-Lo\u00e9ve Decomposition of Isotropic Gaussian Random Fields Using a Tensor Approximation of Autocovariance Kernel","display_name":"Karhunen-Lo\u00e9ve Decomposition of Isotropic Gaussian Random Fields Using a Tensor Approximation of Autocovariance Kernel","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2885015274","doi":"https://doi.org/10.1007/978-3-319-97136-0_14","mag":"2885015274"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-97136-0_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-97136-0_14","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5019827021","display_name":"Michal B\u00e9re\u0161","orcid":"https://orcid.org/0000-0001-8588-3268"},"institutions":[{"id":"https://openalex.org/I142208455","display_name":"VSB - Technical University of Ostrava","ror":"https://ror.org/05x8mcb75","country_code":"CZ","type":"education","lineage":["https://openalex.org/I142208455"]},{"id":"https://openalex.org/I4210112637","display_name":"Czech Academy of Sciences, Institute of Geonics","ror":"https://ror.org/02d3n7h84","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210112637"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Michal B\u00e9re\u0161","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Electrical Engineering and Computer Science, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","IT4Innovations National Supercomputing Center, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","Institute of Geonics of the CAS, Ostrava, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Electrical Engineering and Computer Science, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]},{"raw_affiliation_string":"IT4Innovations National Supercomputing Center, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]},{"raw_affiliation_string":"Institute of Geonics of the CAS, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I4210112637"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019827021"],"corresponding_institution_ids":["https://openalex.org/I142208455","https://openalex.org/I4210112637"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.1132,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.38519819,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"188","last_page":"202"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13650","display_name":"Computational Physics and Python Applications","score":0.9850999712944031,"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/T13650","display_name":"Computational Physics and Python Applications","score":0.9850999712944031,"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/T13126","display_name":"Scientific Research and Discoveries","score":0.9782000184059143,"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"}},{"id":"https://openalex.org/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9696999788284302,"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/random-field","display_name":"Random field","score":0.6575804948806763},{"id":"https://openalex.org/keywords/autocovariance","display_name":"Autocovariance","score":0.6464412212371826},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5290003418922424},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5192458629608154},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.48745083808898926},{"id":"https://openalex.org/keywords/kronecker-delta","display_name":"Kronecker delta","score":0.472166508436203},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.46033889055252075},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46009132266044617},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4513383209705353},{"id":"https://openalex.org/keywords/karhunen\u2013lo\u00e8ve-theorem","display_name":"Karhunen\u2013Lo\u00e8ve theorem","score":0.44740206003189087},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.4413136839866638},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.4233095049858093},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3960113823413849},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3088374137878418},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.24577966332435608},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.2320481836795807},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.12862920761108398},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.121747225522995},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09806731343269348}],"concepts":[{"id":"https://openalex.org/C130402806","wikidata":"https://www.wikidata.org/wiki/Q5361768","display_name":"Random field","level":2,"score":0.6575804948806763},{"id":"https://openalex.org/C88271906","wikidata":"https://www.wikidata.org/wiki/Q786973","display_name":"Autocovariance","level":3,"score":0.6464412212371826},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5290003418922424},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5192458629608154},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.48745083808898926},{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.472166508436203},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.46033889055252075},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46009132266044617},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4513383209705353},{"id":"https://openalex.org/C109308471","wikidata":"https://www.wikidata.org/wiki/Q2046647","display_name":"Karhunen\u2013Lo\u00e8ve theorem","level":2,"score":0.44740206003189087},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.4413136839866638},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.4233095049858093},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3960113823413849},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3088374137878418},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.24577966332435608},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.2320481836795807},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.12862920761108398},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.121747225522995},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09806731343269348},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-97136-0_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-97136-0_14","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W595079961","https://openalex.org/W625796142","https://openalex.org/W654155693","https://openalex.org/W1544159280","https://openalex.org/W1984714298","https://openalex.org/W2015539995","https://openalex.org/W2084813411","https://openalex.org/W2089676770","https://openalex.org/W2127570421","https://openalex.org/W2507038942","https://openalex.org/W2738438475","https://openalex.org/W2738536030","https://openalex.org/W2775032227"],"related_works":["https://openalex.org/W4306386456","https://openalex.org/W2086379970","https://openalex.org/W3083210889","https://openalex.org/W2018350047","https://openalex.org/W2953995501","https://openalex.org/W2921382837","https://openalex.org/W2674684492","https://openalex.org/W2736662950","https://openalex.org/W2975195516","https://openalex.org/W2018546345"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}