Matches in SemOpenAlex for { <https://semopenalex.org/work/W2806554479> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W2806554479 abstract "We consider the smooth interpolation problem under cyclical monotonicityconstraint. More precisely, consider finite $n$-tuples$mathcal{X}={x_1,ldots,x_n}$ and $mathcal{Y}={y_1,ldots,y_n}$ of pointsin $ mathbb{R}^d$, and assume the existence of a unique bijection$T:mathcal{X}rightarrow mathcal{Y}$ such that ${(x,T(x)):, xinmathcal{X} }$ is cyclically monotone: our goal is to define continuous,cyclically monotone maps $bar{T}:mathbb{R}^dto mathbb{R}^d$ suchthat~$bar{T}(x_i)=y_i$, $i=1,ldots,n$, extending a classical result byRockafellar on the subdifferentials of convex functions. Our solutions$bar{T}$ are Lipschitz, and we provide a sharp lower bound for thecorresponding Lipschitz constants. The problem is motivated by, and thesolution naturally applies to, the concept of empirical center-outwarddistribution function in $mathbb{R}^d$ developed in Hallin~(2018). Thoseempirical distribution functions indeed are defined at the observations only.Our interpolation provides a smooth extension, as well as a multivariate,outward-continuous, jump function version thereof (the latter naturallygeneralizes the traditional left-continuous univariate concept); both satisfy aGlivenko-Cantelli property as $ntoinfty$." @default.
- W2806554479 created "2018-06-13" @default.
- W2806554479 creator A5023975521 @default.
- W2806554479 creator A5057050692 @default.
- W2806554479 creator A5067975393 @default.
- W2806554479 creator A5087753399 @default.
- W2806554479 date "2018-06-04" @default.
- W2806554479 modified "2023-09-24" @default.
- W2806554479 title "Smooth Cyclically Monotone Interpolation and Empirical Center-Outward Distribution Functions" @default.
- W2806554479 hasPublicationYear "2018" @default.
- W2806554479 type Work @default.
- W2806554479 sameAs 2806554479 @default.
- W2806554479 citedByCount "2" @default.
- W2806554479 countsByYear W28065544792019 @default.
- W2806554479 crossrefType "posted-content" @default.
- W2806554479 hasAuthorship W2806554479A5023975521 @default.
- W2806554479 hasAuthorship W2806554479A5057050692 @default.
- W2806554479 hasAuthorship W2806554479A5067975393 @default.
- W2806554479 hasAuthorship W2806554479A5087753399 @default.
- W2806554479 hasConcept C104114177 @default.
- W2806554479 hasConcept C110121322 @default.
- W2806554479 hasConcept C112680207 @default.
- W2806554479 hasConcept C114614502 @default.
- W2806554479 hasConcept C118615104 @default.
- W2806554479 hasConcept C121332964 @default.
- W2806554479 hasConcept C134306372 @default.
- W2806554479 hasConcept C137800194 @default.
- W2806554479 hasConcept C145446738 @default.
- W2806554479 hasConcept C185592680 @default.
- W2806554479 hasConcept C22324862 @default.
- W2806554479 hasConcept C2524010 @default.
- W2806554479 hasConcept C2779463800 @default.
- W2806554479 hasConcept C2834757 @default.
- W2806554479 hasConcept C33923547 @default.
- W2806554479 hasConcept C72169020 @default.
- W2806554479 hasConcept C74650414 @default.
- W2806554479 hasConcept C8010536 @default.
- W2806554479 hasConcept C95611797 @default.
- W2806554479 hasConceptScore W2806554479C104114177 @default.
- W2806554479 hasConceptScore W2806554479C110121322 @default.
- W2806554479 hasConceptScore W2806554479C112680207 @default.
- W2806554479 hasConceptScore W2806554479C114614502 @default.
- W2806554479 hasConceptScore W2806554479C118615104 @default.
- W2806554479 hasConceptScore W2806554479C121332964 @default.
- W2806554479 hasConceptScore W2806554479C134306372 @default.
- W2806554479 hasConceptScore W2806554479C137800194 @default.
- W2806554479 hasConceptScore W2806554479C145446738 @default.
- W2806554479 hasConceptScore W2806554479C185592680 @default.
- W2806554479 hasConceptScore W2806554479C22324862 @default.
- W2806554479 hasConceptScore W2806554479C2524010 @default.
- W2806554479 hasConceptScore W2806554479C2779463800 @default.
- W2806554479 hasConceptScore W2806554479C2834757 @default.
- W2806554479 hasConceptScore W2806554479C33923547 @default.
- W2806554479 hasConceptScore W2806554479C72169020 @default.
- W2806554479 hasConceptScore W2806554479C74650414 @default.
- W2806554479 hasConceptScore W2806554479C8010536 @default.
- W2806554479 hasConceptScore W2806554479C95611797 @default.
- W2806554479 hasLocation W28065544791 @default.
- W2806554479 hasOpenAccess W2806554479 @default.
- W2806554479 hasPrimaryLocation W28065544791 @default.
- W2806554479 hasRelatedWork W1802869466 @default.
- W2806554479 hasRelatedWork W1933446206 @default.
- W2806554479 hasRelatedWork W1994826247 @default.
- W2806554479 hasRelatedWork W2147932046 @default.
- W2806554479 hasRelatedWork W2237454033 @default.
- W2806554479 hasRelatedWork W2289997201 @default.
- W2806554479 hasRelatedWork W2473181276 @default.
- W2806554479 hasRelatedWork W2614887864 @default.
- W2806554479 hasRelatedWork W2950738477 @default.
- W2806554479 hasRelatedWork W2951886079 @default.
- W2806554479 hasRelatedWork W2963812957 @default.
- W2806554479 hasRelatedWork W2978185599 @default.
- W2806554479 hasRelatedWork W3000442050 @default.
- W2806554479 hasRelatedWork W3036357521 @default.
- W2806554479 hasRelatedWork W3099062251 @default.
- W2806554479 hasRelatedWork W3103644350 @default.
- W2806554479 hasRelatedWork W3121451629 @default.
- W2806554479 hasRelatedWork W3121782817 @default.
- W2806554479 hasRelatedWork W3156713092 @default.
- W2806554479 hasRelatedWork W3196728313 @default.
- W2806554479 isParatext "false" @default.
- W2806554479 isRetracted "false" @default.
- W2806554479 magId "2806554479" @default.
- W2806554479 workType "article" @default.