In this study, we focus on solving the nonlinear fractional optimization problem in which numerator is smooth convex and denominator concave. To achieve goal, develop an algorithm called adaptive projection gradient method. The main advantage of method that it allows computations for gradients considered functions metric to take place separately. Moreover, interesting property distinguishes pro...

We formulate a supervised, localized dimensionality reduction method using a gating model that divides up the input space into regions and selects the dimensionality reduction projection separately in each region. The gating model, the locally linear projections, and the kernel-based supervised learning algorithm which uses them in its kernels are coupled and their training is performed with an...

The Explanatory Problem discussed in Part I is conceptually simple: dynamic semantics is strictly more powerful than classical semantics; this made it possible for Heim’s system to handle presuppositional data that classical semantics did not; but the very power of the framework also makes it possible to define all sorts of lexical entries which presumably do not exist in the world’s languages....

This paper introduces a probably stable learning adaptive control framework with statistical learning. The proposed algorithm employs nonlinear function approximation with automatic growth of the learning network according to the nonlinearities and the working domain of the control system. The unknown function in the dynamical system is approximated by piecewise linear models using a nonparamet...

Numerical simulation of the non-linear reaction-diffusion equations in computational electrocardiology requires locally high spatial resolution to capture the multiscale effects related to the electrical activation of the heart accurately, namely the strongly varying action potential. Here, we propose a novel lightweight adaptive algorithm which aims at combining the plainness of structured mes...

This paper proposes a novel design method for the adaptive robust H∞ control problem of a class of nonlinear systems with parametric uncertainties and external disturbances, which combines adaptive control and robust H∞ control techniques. By the use of the parameter projection method in adaptive control, the adaptive control laws are derived. Based on Hamilton-Jacobi inequalities, the adaptive...

One of the major barriers to wider use of adaptive controllers in commercial aviation is the lack of appropriate certification procedures. In order to be certified by the Federal Aviation Administration (FAA), an aircraft controller is expected to meet a set of guidelines on functionality and reliability while not negatively impacting other systems or safety of aircraft operations. Due to their...