DC Field
Value
Language
dc.contributor.author
Daniilidis, Aris
-
dc.contributor.author
Drusvyatskiy, Dmitriy
-
dc.date.accessioned
2023-11-15T13:55:04Z
-
dc.date.available
2023-11-15T13:55:04Z
-
dc.date.issued
2023-07-14
-
dc.identifier.citation
<div class="csl-bib-body"> <div class="csl-entry">Daniilidis, A., &#38; Drusvyatskiy, D. (2023). The slope robustly determines convex functions. <i>Proceedings of the American Mathematical Society</i>, <i>151</i>(11), 4751–4756. https://doi.org/10.1090/proc/16503</div> </div>
-
dc.identifier.issn
0002-9939
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/189646
-
dc.description.abstract
We show that the deviation between the slopes of two convex functions controls the deviation between the functions themselves. This result reveals that the slope-A one dimensional construct-robustly determines convex functions, up to a constant of integration.
en
dc.description.sponsorship
FWF Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
-
dc.language.iso
en
-
dc.publisher
AMER MATHEMATICAL SOC
-
dc.relation.ispartof
Proceedings of the American Mathematical Society
-
dc.subject
Convex function
en
dc.subject
Slope
en
dc.subject
Stability.
en
dc.subject
Subgradient
en
dc.title
The slope robustly determines convex functions
en
dc.type
Article
en
dc.type
Artikel
de
dc.identifier.scopus
2-s2.0-85171446990
-
dc.identifier.url
https://api.elsevier.com/content/abstract/scopus_id/85171446990
-
dc.contributor.affiliation
University of Washington, United States of America (the)
-
dc.description.startpage
4751
-
dc.description.endpage
4756
-
dc.relation.grantno
P 36344N
-
dcterms.dateSubmitted
2022-03-05
-
dc.type.category
Original Research Article
-
tuw.container.volume
151
-
tuw.container.issue
11
-
tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
wb.publication.intCoWork
International Co-publication
-
tuw.project.title
Unilateralität und Asymmetrie in der Variationsanalyse
-
tuw.researchTopic.id
C4
-
tuw.researchTopic.name
Mathematical and Algorithmic Foundations
-
tuw.researchTopic.value
100
-
dcterms.isPartOf.title
Proceedings of the American Mathematical Society
-
tuw.publication.orgunit
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
-
tuw.publisher.doi
10.1090/proc/16503
-
dc.date.onlinefirst
2023-07-14
-
dc.identifier.eissn
1088-6826
-
dc.description.numberOfPages
6
-
tuw.author.orcid
0000-0003-4837-694X
-
tuw.author.orcid
0000-0001-5245-0458
-
dc.description.sponsorshipexternal
NSF DMS
-
dc.description.sponsorshipexternal
CCF
-
dc.relation.grantnoexternal
1651851
-
dc.relation.grantnoexternal
1740551
-
wb.sci
true
-
wb.sciencebranch
Mathematik
-
wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
100
-
item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
-
item.grantfulltext
none
-
item.languageiso639-1
en
-
item.cerifentitytype
Publications
-
item.fulltext
no Fulltext
-
item.openairetype
research article
-
crisitem.project.funder
FWF - Österr. Wissenschaftsfonds
-
crisitem.project.grantno
P 36344N
-
crisitem.author.dept
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
-
crisitem.author.dept
University of Washington
-
crisitem.author.orcid
0000-0003-4837-694X
-
crisitem.author.orcid
0000-0001-5245-0458
-
crisitem.author.parentorg
E105 - Institut für Stochastik und Wirtschaftsmathematik
-
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