Some optimization problems with applications to canonical correlations and sphericity tests
نویسندگان
چکیده
منابع مشابه
General canonical correlations with applications to group symmetry models
In this paper, we define general canonical correlations, which generalize the canonical correlations developed by Hotelling, and general canonical covariate pairs, the corresponding linear statistic. We also define canonical variance distances with corresponding canonical distance variates. In a rather broad setting, these parameters and their corresponding linear statistics are characterized i...
متن کاملAdvances in Canonical Duality Theory with Applications to Global Optimization
Canonical duality theory is a potentially powerful methodology, which can be used to solve a wide class of discrete and continuous global optimization problems. This paper presents a brief review and recent developments of this theory with applications to some well-know problems including polynomial minimization, mixed integer and fractional programming, nonconvex minimization with nonconvex qu...
متن کاملAlgorithmic Solutions to Some Transportation Optimization Problems with Applications in the Metallurgical Industry
In this paper we address several constrained transportation optimization problems (e.g. vehicle routing, shortest Hamiltonian path), for which we present novel algorithmic solutions and extensions, considering several optimization objectives, like minimizing costs and resource usage. All the considered problems are motivated by practical situations arising, for instance, in the mining and metal...
متن کاملOptimal Rank - Based Tests for Sphericity
We propose a class of rank-based procedures for testing that the shape matrix V of an elliptical distribution (with unspecified center of symmetry, scale, and radial density) has some fixed value V0; this includes, for V0 = Ik, the problem of testing for sphericity as an important particular case. The proposed tests are invariant under translations, monotone radial transformations, rotations, a...
متن کاملVariational Approach to Some Optimization Control Problems
This paper presents the variational approach to some optimization problems: Mayer’s problem with or without constraints on the final point, local controllability of a trajectory, time-optimal problems.
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: Journal of Multivariate Analysis
سال: 1978
ISSN: 0047-259X
DOI: 10.1016/0047-259x(78)90066-0