A theoretical advantage of large margin classifiers such as support vector machines (SVM) concerns the empirical and structural risk minimization which balances the complexity of the model against its success at fitting the training data. Metaheuristics have been used to work with SVMs in order to select features, tune hypeparameters or even achieve a reduced-set of support vectors. In spite of...

This paper is concerned with the stability and asymptotic stability at large time of solutions to a system of equations, which includes the LifschitzSlyozov-Wagner (LSW) system in the case when the initial data has compact support. The main result of the paper is a proof of weak global asymptotic stability for LSW like systems. Previously strong local asymptotic stability results were obtained ...

In this paper we consider a fractional optimization problem that minimizes the ratio of two quadratic functions subject to a strictly convex quadratic constraint. First using the extension of Charnes-Cooper transformation, an equivalent homogenized quadratic reformulation of the problem is given. Then we show that under certain assumptions, it can be solved to global optimality using semidefini...

Fault detection plays a serious role in high-cost and safety-critical processes. There are two main drivers for continuous improvement the area of early process faults safety reliability technical plants. Detect fault Geophone string sensors (SG-10) very important oil exploration to avoid loss economy. Methods developed enable earlier than traditional limit trend checking based on single variab...

In this paper, we derive an algorithm to train support vector machines sequentially. The algorithm makes use of the Kalman lter and is optimal in a minimum variance framework. It extends the support vector machine paradigm to applications involving real-time and non-stationary signal processing. It also provides a computationally eecient alternative to the problem of quadratic optimisation.

in the present paper a solution of the generalizedquadratic functional equation$$f(kx+ y)+f(kx+sigma(y))=2k^{2}f(x)+2f(y),phantom{+} x,yin{e}$$ isgiven where $sigma$ is an involution of the normed space $e$ and$k$ is a fixed positive integer. furthermore we investigate thehyers-ulam-rassias stability of the functional equation. thehyers-ulam stability on unbounded domains is also studied.applic...

in this article, we characterize the involutiveness of the linear combination of the forma1a1 +a2a2 when a1, a2 are nonzero complex numbers, a1 is a quadratic or tripotent matrix,and a2 is arbitrary, under certain properties imposed on a1 and a2.