{"id":"https://openalex.org/W2125139533","doi":"https://doi.org/10.1109/icassp.2012.6288306","title":"Learning ridge functions with randomized sampling in high dimensions","display_name":"Learning ridge functions with randomized sampling in high dimensions","publication_year":2012,"publication_date":"2012-03-01","ids":{"openalex":"https://openalex.org/W2125139533","doi":"https://doi.org/10.1109/icassp.2012.6288306","mag":"2125139533"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2012.6288306","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2012.6288306","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/185246","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004281867","display_name":"Hemant Tyagi","orcid":"https://orcid.org/0009-0006-8194-7184"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Hemant Tyagi","raw_affiliation_strings":["Laboratory for Information and Inference Systems, Ecole Polytechnique Federale de Lausanne, Switzerland","Ecole Polytechnique Federale de Lausanne, Laboratory for Information and Inference Systems, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Information and Inference Systems, Ecole Polytechnique Federale de Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Ecole Polytechnique Federale de Lausanne, Laboratory for Information and Inference Systems, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027059837","display_name":"Volkan Cevher","orcid":"https://orcid.org/0000-0002-5004-201X"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Volkan Cevher","raw_affiliation_strings":["Laboratory for Information and Inference Systems, Ecole Polytechnique Federale de Lausanne, Switzerland","Ecole Polytechnique Federale de Lausanne, Laboratory for Information and Inference Systems, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Information and Inference Systems, Ecole Polytechnique Federale de Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Ecole Polytechnique Federale de Lausanne, Laboratory for Information and Inference Systems, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":null,"first_page":"2025","last_page":"2028"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9983999729156494,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.6845394372940063},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.6018090844154358},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.45151472091674805},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.4422142207622528},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4056251049041748},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3965715169906616},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37809038162231445},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33082133531570435},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.28621190786361694},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22423309087753296},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22086042165756226}],"concepts":[{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.6845394372940063},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.6018090844154358},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45151472091674805},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.4422142207622528},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4056251049041748},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3965715169906616},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37809038162231445},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33082133531570435},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28621190786361694},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22423309087753296},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22086042165756226}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/icassp.2012.6288306","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2012.6288306","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.370.3999","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.370.3999","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://infoscience.epfl.ch/record/169199/files/ridge.pdf","raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:185246","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/185246","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"Text"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:185246","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/185246","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"Text"},"sustainable_development_goals":[{"display_name":"Quality Education","score":0.49000000953674316,"id":"https://metadata.un.org/sdg/4"}],"awards":[{"id":"https://openalex.org/G5001550376","display_name":"Geometric and combinatorial foundations for emerging information and inference systems","funder_award_id":"268398","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5384785234","display_name":null,"funder_award_id":"11-DARPA-1055","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G6928909555","display_name":"Theory and methods for compressive sensing with graphical models","funder_award_id":"132548","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G7914623473","display_name":null,"funder_award_id":"MIRG-268398","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G993971353","display_name":null,"funder_award_id":"200021","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320310133","display_name":"Rice University","ror":"https://ror.org/008zs3103"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1499670810","https://openalex.org/W1560153690","https://openalex.org/W1644425553","https://openalex.org/W1803511411","https://openalex.org/W1970136394","https://openalex.org/W1971622337","https://openalex.org/W1991143958","https://openalex.org/W2031299600","https://openalex.org/W2058802470","https://openalex.org/W2066462711","https://openalex.org/W2091886411","https://openalex.org/W2118550318","https://openalex.org/W2158581396","https://openalex.org/W4238957295"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4285277090","https://openalex.org/W4327738859","https://openalex.org/W2077314575","https://openalex.org/W2348722996","https://openalex.org/W4315701745","https://openalex.org/W1990290471","https://openalex.org/W4380682190","https://openalex.org/W2005710836","https://openalex.org/W1996226968"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,9,55,63,69,75,79,103,105,125,132,141],"problem":[3],"of":[4,8,54,102,127,143],"learning":[5,73],"ridge":[6,56],"functions":[7],"form":[10],"f(x)":[11],"=":[12],"g(a":[13],"<sup":[14,21,119],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[15,22,120],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">T</sup>":[16],"x),":[17],"x":[18],"\u2208":[19],"\u211d":[20],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">d</sup>":[23],",":[24],"from":[25,40,109,115],"random":[26],"samples.":[27],"Assuming":[28],"g":[29,93],"to":[30,46,81,112,117],"be":[31],"a":[32,48,71],"twice":[33],"continuously":[34,96],"differentiable":[35,97],"function,":[36],"we":[37],"leverage":[38],"techniques":[39],"low":[41],"rank":[42],"matrix":[43],"recovery":[44],"literature":[45],"derive":[47],"uniform":[49],"approximation":[50],"guarantee":[51],"for":[52,72],"estimation":[53],"function":[57],"f.":[58],"Our":[59],"new":[60],"analysis":[61],"removes":[62],"de":[64],"facto":[65],"compressibility":[66],"assumption":[67],"on":[68,124],"parameter":[70],"in":[74,83,98],"existing":[76],"literature.":[77],"Interestingly":[78],"price":[80],"pay":[82],"high":[84],"dimensional":[85],"settings":[86],"is":[87,94],"not":[88],"major.":[89],"For":[90],"example,":[91],"when":[92],"thrice":[95],"an":[99],"open":[100],"neighbourhood":[101],"origin,":[104,133],"sampling":[106],"complexity":[107],"changes":[108],"O(log":[110],"d)":[111],"O(d)":[113],"or":[114],"equation":[116],"O(d":[118],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">4</sup>":[121],"),":[122],"depending":[123],"behaviour":[126],"g\u2032":[128],"and":[129],"g\u2033":[130],"at":[131],"with":[134],"0":[135],"&#60;":[136,138],"q":[137],"1":[139],"characterizing":[140],"sparsity":[142],"a.":[144]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}