{"id":"https://openalex.org/W2624960300","doi":"https://doi.org/10.1145/3055399.3055501","title":"Area-convexity, l <sub>\u221e</sub> regularization, and undirected multicommodity flow","display_name":"Area-convexity, l <sub>\u221e</sub> regularization, and undirected multicommodity flow","publication_year":2017,"publication_date":"2017-06-15","ids":{"openalex":"https://openalex.org/W2624960300","doi":"https://doi.org/10.1145/3055399.3055501","mag":"2624960300"},"language":"en","primary_location":{"id":"doi:10.1145/3055399.3055501","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3055399.3055501","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 49th Annual ACM SIGACT 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/A5073047822","display_name":"Jonah Sherman","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jonah Sherman","raw_affiliation_strings":["University of California at Berkeley, USA"],"affiliations":[{"raw_affiliation_string":"University of California at Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5073047822"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":3.9003,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.94876287,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"452","last_page":"460"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9998999834060669,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9998999834060669,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9997000098228455,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.9346540570259094},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.821404218673706},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.8019655346870422},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6979230642318726},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.6709692478179932},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6196349263191223},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5907217860221863},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4734249413013458},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4568936824798584},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.42233943939208984},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31463634967803955},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.142665833234787},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13366946578025818},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07313090562820435},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.06354343891143799}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.9346540570259094},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.821404218673706},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.8019655346870422},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6979230642318726},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.6709692478179932},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6196349263191223},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5907217860221863},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4734249413013458},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4568936824798584},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.42233943939208984},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31463634967803955},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.142665833234787},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13366946578025818},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07313090562820435},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.06354343891143799},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3055399.3055501","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3055399.3055501","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 49th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1519983590","https://openalex.org/W1560003866","https://openalex.org/W1968307589","https://openalex.org/W2081316950","https://openalex.org/W2087714402","https://openalex.org/W2089559088","https://openalex.org/W2106759055","https://openalex.org/W2106887613","https://openalex.org/W2134422938","https://openalex.org/W2167732364","https://openalex.org/W2208409594","https://openalex.org/W2263976044","https://openalex.org/W2569289043","https://openalex.org/W2950755820"],"related_works":["https://openalex.org/W4236459141","https://openalex.org/W4205304778","https://openalex.org/W2020252434","https://openalex.org/W73248859","https://openalex.org/W2584253892","https://openalex.org/W2350324449","https://openalex.org/W1572705989","https://openalex.org/W119381072","https://openalex.org/W2034033896","https://openalex.org/W2087062149"],"abstract_inverted_index":{"We":[0],"show":[1],"the":[2,33],"strong-convexity":[3],"assumption":[4],"of":[5,21,48],"regularization-based":[6],"methods":[7],"for":[8,37],"solving":[9],"bilinear":[10,28],"saddle":[11],"point":[12],"problems":[13],"may":[14],"be":[15],"relaxed":[16],"to":[17,25],"a":[18,46],"weaker":[19],"notion":[20],"area-convexity":[22],"with":[23],"respect":[24],"an":[26],"alternating":[27],"form.":[29],"This":[30],"allows":[31],"bypassing":[32],"infamous":[34],"''":[35],"barrier":[36],"strongly":[38],"convex":[39],"regularizers":[40],"that":[41],"has":[42],"stalled":[43],"progress":[44],"on":[45],"number":[47],"algorithmic":[49],"problems.":[50]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}