Results 31 to 40 of about 162 (63)

Data integration with high dimensionality. [PDF]

Biometrika, 2017
Gao X, Carroll RJ.
europepmc   +1 more source

Shape retrieval using hierarchical total Bregman soft clustering. [PDF]

IEEE Trans Pattern Anal Mach Intell, 2012
Liu M, Vemuri BC, Amari S, Nielsen F.
europepmc   +1 more source

On the directional asymptotic approach in optimization theory. [PDF]

Math Program
Benko M, Mehlitz P.
europepmc   +1 more source

Isolated Calmness of Perturbation Mappings and Superlinear Convergence of Newton-Type Methods. [PDF]

J Optim Theory Appl
Benko M, Mehlitz P.
europepmc   +1 more source

Nonsmooth calculus in finite dimensions

, 1987
D. Ward, J. Borwein
semanticscholar   +1 more source

Arithmetic Subderivatives : p-adic Discontinuity and Continuity

, 2021
Merikoski Jorma, Haukkanen Pentti
openaire   +1 more source

Arithmetic Subderivatives : Discontinuity and Continuity

, 2020
Merikoski Jorma, Haukkanen Pentti
openaire   +1 more source

A characterization of paratingent cone andP-subderivative with applications in nonsmooth analysis

Acta Mathematica Sinica, 1991
Characterizations of the paratingent cone to an open set at a boundary point and the \(P\)-directional derivative of a real-valued continuous function are given by using the contingent cone and the contingent directional derivative, respectively. It is shown that these results are useful to establish sufficient condition for strict differentiability of
Yuntong Wang
semanticscholar   +3 more sources

Lipschitz functions with prescribed derivatives and subderivatives

Nonlinear Analysis: Theory, Methods & Applications, 1997
The authors present a technique for constructing locally Lipschitz functions (on a separable Banach space \(X\)) which are not built-up from either convex or distance functions. In detail, in their main theorem they provide the following result: If \(f_1,f_2,\dots, f_n\) are real-valued locally Lipschitz functions on \(X\) with minimal Clarke ...
Jonathan M. Borwein, Warren B. Moors, Xianfu Wang   +2 more
openalex   +3 more sources

Approximate mean value theorem for upper subderivatives

Nonlinear Analysis: Theory, Methods & Applications, 1988
THE PURPOSE of this paper is to give a mean value theorem for a lower semicontinuous function f on a Banach space, using the upper subderivatives defined by Rockafellar [l]. As will be shown by example (Section 4), it may happen that the subdifferential af(x) is empty for all x in the closed line segment [a, 61, where a and b belong to X.
Dariusz Zagrodny
openalex   +2 more sources