{"id":"https://openalex.org/W4411319923","doi":"https://doi.org/10.1145/3717823.3718188","title":"Tensor Concentration Inequalities: A Geometric Approach","display_name":"Tensor Concentration Inequalities: A Geometric Approach","publication_year":2025,"publication_date":"2025-06-15","ids":{"openalex":"https://openalex.org/W4411319923","doi":"https://doi.org/10.1145/3717823.3718188"},"language":"en","primary_location":{"id":"doi:10.1145/3717823.3718188","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3717823.3718188","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 57th Annual ACM Symposium on Theory of Computing","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/A5025529136","display_name":"Afonso S. Bandeira","orcid":"https://orcid.org/0000-0002-7331-7557"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Afonso S. Bandeira","raw_affiliation_strings":["ETH Zurich, Zurich, Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-7331-7557","affiliations":[{"raw_affiliation_string":"ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038687630","display_name":"Sivakanth Gopi","orcid":"https://orcid.org/0000-0001-9706-4171"},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sivakanth Gopi","raw_affiliation_strings":["Microsoft Research, Redmond, USA"],"raw_orcid":"https://orcid.org/0000-0001-9706-4171","affiliations":[{"raw_affiliation_string":"Microsoft Research, Redmond, USA","institution_ids":["https://openalex.org/I1290206253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101916384","display_name":"Haotian Jiang","orcid":"https://orcid.org/0000-0002-7501-2247"},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Haotian Jiang","raw_affiliation_strings":["University of Chicago, Chicago, USA"],"raw_orcid":"https://orcid.org/0000-0002-7501-2247","affiliations":[{"raw_affiliation_string":"University of Chicago, Chicago, USA","institution_ids":["https://openalex.org/I40347166"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114730141","display_name":"Kevin Lucca","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Kevin Lucca","raw_affiliation_strings":["ETH Zurich, Zurich, Switzerland"],"raw_orcid":"https://orcid.org/0009-0002-7993-1846","affiliations":[{"raw_affiliation_string":"ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008952420","display_name":"Thomas Rothvo\u00df","orcid":"https://orcid.org/0009-0007-8314-0963"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]},{"id":"https://openalex.org/I58610484","display_name":"Seattle University","ror":"https://ror.org/02jqc0m91","country_code":"US","type":"education","lineage":["https://openalex.org/I58610484"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas Rothvoss","raw_affiliation_strings":["University of Washington, Seattle, USA"],"raw_orcid":"https://orcid.org/0009-0007-8314-0963","affiliations":[{"raw_affiliation_string":"University of Washington, Seattle, USA","institution_ids":["https://openalex.org/I201448701","https://openalex.org/I58610484"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5025529136"],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13339071,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"822","last_page":"832"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9998000264167786,"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":0.9998000264167786,"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/T11366","display_name":"Elasticity and Material Modeling","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9842000007629395,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5474687814712524},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.498868465423584},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4263020157814026},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41840216517448425},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3326677083969116},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.29162704944610596},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28287050127983093}],"concepts":[{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5474687814712524},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.498868465423584},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4263020157814026},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41840216517448425},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3326677083969116},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29162704944610596},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28287050127983093}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3717823.3718188","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3717823.3718188","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 57th Annual ACM Symposium on Theory of Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W205433031","https://openalex.org/W358045163","https://openalex.org/W599176452","https://openalex.org/W602272446","https://openalex.org/W858176025","https://openalex.org/W1967134148","https://openalex.org/W2031213242","https://openalex.org/W2040583004","https://openalex.org/W2050991582","https://openalex.org/W2056625421","https://openalex.org/W2079002396","https://openalex.org/W2099192835","https://openalex.org/W2105724942","https://openalex.org/W2107411554","https://openalex.org/W2120316325","https://openalex.org/W2120350343","https://openalex.org/W2131939929","https://openalex.org/W2134348739","https://openalex.org/W2167077875","https://openalex.org/W2242452602","https://openalex.org/W2290522125","https://openalex.org/W2294773852","https://openalex.org/W2536710978","https://openalex.org/W2585411378","https://openalex.org/W2767070707","https://openalex.org/W2938922898","https://openalex.org/W2962721953","https://openalex.org/W2962881498","https://openalex.org/W2963553534","https://openalex.org/W2964021737","https://openalex.org/W2964292545","https://openalex.org/W2968353065","https://openalex.org/W2971268466","https://openalex.org/W2972186810","https://openalex.org/W2990423062","https://openalex.org/W3098767745","https://openalex.org/W3100252270","https://openalex.org/W3101714678","https://openalex.org/W3159451596","https://openalex.org/W3196550748","https://openalex.org/W4205884166","https://openalex.org/W4206039841","https://openalex.org/W4213358110","https://openalex.org/W4244670803","https://openalex.org/W4297192553","https://openalex.org/W4297744875","https://openalex.org/W4301425558","https://openalex.org/W4316652375","https://openalex.org/W4362508131","https://openalex.org/W4376639488","https://openalex.org/W4376639507","https://openalex.org/W4376639534","https://openalex.org/W4376639556","https://openalex.org/W4390098006","https://openalex.org/W4396222306","https://openalex.org/W4399512732","https://openalex.org/W4399520892","https://openalex.org/W4399522666","https://openalex.org/W4399795182","https://openalex.org/W4403296614","https://openalex.org/W4404849670","https://openalex.org/W6638599789","https://openalex.org/W6929431255"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}