Global modes with multiple saddle points
نویسندگان
چکیده
منابع مشابه
Saddle Points and Pareto Points in Multiple Objective Programming
In this paper relationships between Pareto points and saddle points in multiple objective programming are investigated. Convex and nonconvex problems are considered and the equivalence between Pareto points and saddle points is proved in both cases. The results are based on scalarizations of multiple objective programs and related linear and augmented Lagrangian functions. Partitions of the ind...
متن کاملSaddle 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 کاملSymmetry, Saddle Points, and Global Geometry of Nonconvex Matrix Factorization
We propose a general theory for studying the geometry of nonconvex objective functions with underlying symmetric structures. In specific, we characterize the locations of stationary points and the null space of the associated Hessian matrices via the lens of invariant groups. As a major motivating example, we apply the proposed general theory to characterize the global geometry of the low-rank ...
متن کاملApproximate Saddle Points Portfolios
We introduce the concept of saddle points portfolio and we establish a connection between this concept and the approximate minima.
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 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: European Journal of Mechanics - B/Fluids
سال: 2015
ISSN: 0997-7546
DOI: 10.1016/j.euromechflu.2014.03.006