Stability of Saddle Points Via Explicit Coderivatives of Pointwise Subdifferentials
نویسندگان
چکیده
منابع مشابه
Saddle-Point Dynamics: Conditions for Asymptotic Stability of Saddle Points
This paper considers continuously differentiable functions of two vector variables that have (possibly a continuum of) min-max saddle points. We study the asymptotic convergence properties of the associated saddle-point dynamics (gradient-descent in the first variable and gradientascent in the second one). We identify a suite of complementary conditions under which the set of saddle points is a...
متن کاملTopological Pressure via Saddle Points
Let Λ be a compact locally maximal invariant set of a C2diffeomorphism f : M → M on a smooth Riemannian manifold M . In this paper we study the topological pressure Ptop(φ) (with respect to the dynamical system f |Λ) for a wide class of Hölder continuous potentials and analyze its relation to dynamical, as well as geometrical, properties of the system. We show that under a mild non-uniform hype...
متن کاملSubdifferentials of Performance Functions and Calculus of Coderivatives of Set-valued Mappings
The paper contains calculus rules for coderivatives of compositions, sums and intersections of set-valued mappings. The types of coderivatives considered correspond to Dini-Hadamard and limiting Dini-Hadamard subdifferentials in Gâteaux differentiable spaces, Fréchet and limiting Fréchet subdifferentials in Asplund spaces and approximate subdifferentials in arbitrary Banach spaces. The key elem...
متن کاملthe effect of explicit teaching of metacognitive vocabulary learning strategies on recall and retention of idioms
چکیده ندارد.
15 صفحه اولSaddle Points
To compute the maximum likelihood estimates the log-likelihood function L is maximized with respect to all model parameters. To check that the maximization has been achieved two things have to be satisfied: 1. The vector of first derivatives with respect to the model parameter L′ should be equal to 0. 2. The negative of the matrix of the second derivatives −L′′ should be a positive definite mat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Set-Valued and Variational Analysis
سال: 2016
ISSN: 1877-0533,1877-0541
DOI: 10.1007/s11228-016-0366-7