{"id":"https://openalex.org/W2128655338","doi":"https://doi.org/10.1109/icassp.2009.4960354","title":"An improvement of subgradient projection operator by composing monotonic functions","display_name":"An improvement of subgradient projection operator by composing monotonic functions","publication_year":2009,"publication_date":"2009-04-01","ids":{"openalex":"https://openalex.org/W2128655338","doi":"https://doi.org/10.1109/icassp.2009.4960354","mag":"2128655338"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2009.4960354","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2009.4960354","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Acoustics, Speech and Signal Processing","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/A5102929443","display_name":"Masao Yamagishi","orcid":"https://orcid.org/0000-0002-5371-3536"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Masao Yamagishi","raw_affiliation_strings":["Department of Communications and Integrated Systems, Tokyo Institute of Technology, Tokyo, Japan","Dept. of Communications and Integrated Systems, Tokyo Institute of Technology, 152-8550 Japan"],"affiliations":[{"raw_affiliation_string":"Department of Communications and Integrated Systems, Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Dept. of Communications and Integrated Systems, Tokyo Institute of Technology, 152-8550 Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103022814","display_name":"Isao Yamada","orcid":"https://orcid.org/0000-0002-6563-7526"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Isao Yamada","raw_affiliation_strings":["Department of Communications and Integrated Systems, Tokyo Institute of Technology, Tokyo, Japan","Dept. of Communications and Integrated Systems, Tokyo Institute of Technology, 152-8550 Japan"],"affiliations":[{"raw_affiliation_string":"Department of Communications and Integrated Systems, Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Dept. of Communications and Integrated Systems, Tokyo Institute of Technology, 152-8550 Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102929443"],"corresponding_institution_ids":["https://openalex.org/I114531698"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18776371,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":null,"first_page":"3397","last_page":"3400"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.9991000294685364,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/subgradient-method","display_name":"Subgradient method","score":0.9526528120040894},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.7748576402664185},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6294828057289124},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6079968810081482},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5728875398635864},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5493029952049255},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5414531230926514},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5337005257606506},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5320742130279541},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4987175464630127},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.42700257897377014},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.42260491847991943},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4146340489387512},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4055190980434418},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32314664125442505},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3200797140598297},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11037015914916992}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.9526528120040894},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.7748576402664185},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6294828057289124},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6079968810081482},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5728875398635864},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5493029952049255},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5414531230926514},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5337005257606506},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5320742130279541},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4987175464630127},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.42700257897377014},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.42260491847991943},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4146340489387512},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4055190980434418},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32314664125442505},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3200797140598297},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11037015914916992},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.2009.4960354","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2009.4960354","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1988790447","https://openalex.org/W2005778669","https://openalex.org/W2019794334","https://openalex.org/W2024046085","https://openalex.org/W2032314368","https://openalex.org/W2033511209","https://openalex.org/W2085418095","https://openalex.org/W2098454198","https://openalex.org/W2099968818","https://openalex.org/W2120985577","https://openalex.org/W2138146018","https://openalex.org/W2144037063","https://openalex.org/W2764386120","https://openalex.org/W6675272622","https://openalex.org/W7065118671"],"related_works":["https://openalex.org/W1489292980","https://openalex.org/W2795079910","https://openalex.org/W2951610245","https://openalex.org/W1430963189","https://openalex.org/W1974262772","https://openalex.org/W2049901819","https://openalex.org/W3037410748","https://openalex.org/W2052430123","https://openalex.org/W1983437306","https://openalex.org/W4387778523"],"abstract_inverted_index":{"The":[0,53],"subgradient":[1,43],"projection":[2],"operator":[3],"has":[4],"been":[5],"utilized":[6],"as":[7],"a":[8,31,50,59,66,93],"computationally":[9],"efficient":[10],"tool":[11],"not":[12,70],"only":[13],"for":[14,18],"suppression":[15],"but":[16],"also":[17],"minimization":[19],"of":[20,41,49,65,85],"convex":[21,51,67],"functions":[22],"in":[23,89],"many":[24],"applications.":[25],"In":[26],"this":[27],"paper,":[28],"we":[29],"propose":[30],"systematic":[32],"scheme":[33,55,88],"to":[34,45,92],"improve":[35],"significantly":[36],"the":[37,42,46,62,83,86],"monotone":[38],"approximation":[39],"ability,":[40],"projection,":[44],"level":[47,63],"set":[48,64],"function.":[52,78],"proposed":[54,87],"is":[56],"based":[57],"on":[58],"simple":[60,94],"observation:":[61],"function":[68],"does":[69],"change":[71],"by":[72],"composing":[73],"any":[74],"zero-crossing":[75],"monotonically":[76],"increasing":[77],"A":[79],"numerical":[80],"example":[81],"demonstrates":[82],"effectiveness":[84],"an":[90],"application":[91],"boosting":[95],"problem.":[96]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
