{"id":"https://openalex.org/W1965562399","doi":"https://doi.org/10.1007/s11045-010-0131-2","title":"On the computational benefit of tensor separation for high-dimensional discrete convolutions","display_name":"On the computational benefit of tensor separation for high-dimensional discrete convolutions","publication_year":2010,"publication_date":"2010-08-23","ids":{"openalex":"https://openalex.org/W1965562399","doi":"https://doi.org/10.1007/s11045-010-0131-2","mag":"1965562399"},"language":"en","primary_location":{"id":"doi:10.1007/s11045-010-0131-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11045-010-0131-2","pdf_url":null,"source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"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":"Multidimensional Systems and Signal Processing","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/A5042520139","display_name":"Jan-P. Calliess","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jan-P. Calliess","raw_affiliation_strings":["School of Computer Science, Carnegie Mellon University (CMU), Pittsburgh, PA, USA","School of Computer Science, Carnegie Mellon University (CMU), Pittsburgh, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carnegie Mellon University (CMU), Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"School of Computer Science, Carnegie Mellon University (CMU), Pittsburgh, USA#TAB#","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032366771","display_name":"M. Mai","orcid":null},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Mai","raw_affiliation_strings":["Institute for Anthropomatics - Vision and Fusion Laboratory, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Anthropomatics - Vision and Fusion Laboratory, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077298407","display_name":"Sebastian Pfeiffer","orcid":"https://orcid.org/0000-0002-4458-0292"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Sebastian Pfeiffer","raw_affiliation_strings":["Institute for Applied Computer Science, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany","Inst. for Appl. Comput. Sci., Karlsruhe Inst. of Technol. (KIT), Karlsruhe, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Applied Computer Science, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]},{"raw_affiliation_string":"Inst. for Appl. Comput. Sci., Karlsruhe Inst. of Technol. (KIT), Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5077298407"],"corresponding_institution_ids":["https://openalex.org/I102335020"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":0.46,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.56756757,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"23","issue":"1-2","first_page":"255","last_page":"279"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T12303","display_name":"Tensor decomposition and applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9825999736785889,"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9796000123023987,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.7748117446899414},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.762448251247406},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.6115557551383972},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5934353470802307},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5812536478042603},{"id":"https://openalex.org/keywords/spatial-filter","display_name":"Spatial filter","score":0.5758721828460693},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5726714134216309},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5539721250534058},{"id":"https://openalex.org/keywords/circular-convolution","display_name":"Circular convolution","score":0.4728168249130249},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45595741271972656},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.4101422131061554},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3857155740261078},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23617473244667053},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19482997059822083},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19234636425971985},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.13268178701400757},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.11471876502037048},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.07898908853530884},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.06791803240776062}],"concepts":[{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.7748117446899414},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.762448251247406},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.6115557551383972},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5934353470802307},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5812536478042603},{"id":"https://openalex.org/C121475858","wikidata":"https://www.wikidata.org/wiki/Q2735911","display_name":"Spatial filter","level":2,"score":0.5758721828460693},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5726714134216309},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5539721250534058},{"id":"https://openalex.org/C194980680","wikidata":"https://www.wikidata.org/wiki/Q245450","display_name":"Circular convolution","level":5,"score":0.4728168249130249},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45595741271972656},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.4101422131061554},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3857155740261078},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23617473244667053},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19482997059822083},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19234636425971985},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.13268178701400757},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.11471876502037048},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.07898908853530884},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.06791803240776062},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11045-010-0131-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11045-010-0131-2","pdf_url":null,"source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"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":"Multidimensional Systems and Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:generic.eprints.org:709057","is_oa":false,"landing_page_url":"http://publications.eng.cam.ac.uk/709057/","pdf_url":null,"source":{"id":"https://openalex.org/S4406922847","display_name":"Cambridge University Engineering Department Publications Database","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310207","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33"},{"id":"https://openalex.org/F4320311048","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479"},{"id":"https://openalex.org/F4320321773","display_name":"Fraunhofer-Gesellschaft","ror":"https://ror.org/05hkkdn48"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W46466749","https://openalex.org/W1588173398","https://openalex.org/W1601798363","https://openalex.org/W1964643883","https://openalex.org/W1967807484","https://openalex.org/W1988789758","https://openalex.org/W2000215628","https://openalex.org/W2002539672","https://openalex.org/W2002598080","https://openalex.org/W2006891733","https://openalex.org/W2018282388","https://openalex.org/W2024165284","https://openalex.org/W2024182011","https://openalex.org/W2029477546","https://openalex.org/W2049157665","https://openalex.org/W2053149885","https://openalex.org/W2069562432","https://openalex.org/W2082830484","https://openalex.org/W2086022711","https://openalex.org/W2107323657","https://openalex.org/W2119741678","https://openalex.org/W2121739212","https://openalex.org/W2126552798","https://openalex.org/W2128157227","https://openalex.org/W2132361536","https://openalex.org/W2156254193","https://openalex.org/W2168923406","https://openalex.org/W2258054274","https://openalex.org/W2476075898","https://openalex.org/W2806933328","https://openalex.org/W7070871703"],"related_works":["https://openalex.org/W3106959200","https://openalex.org/W2385700956","https://openalex.org/W1796097737","https://openalex.org/W2133280289","https://openalex.org/W2232752250","https://openalex.org/W2143803328","https://openalex.org/W2382152453","https://openalex.org/W2171853844","https://openalex.org/W1592375324","https://openalex.org/W4372260258"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}