In this paper, an importance sampling method – cross entropy method is presented to deal with solving support vector machines (SVM) problem for multiclass classification cases. Using one-against-rest (OAR) and one-against-one (OAO) approaches, several binary svm classifiers are constructed and combined to solve multiclass classification problems. For each binary SVM classifier, the cross entrop...

In this paper, a vaccination susceptible exposed infected recovered (VSEIR) model f o r tuberculosis in North Sumatera is discussed. The VSEIR model is formed by a system of nonlinear differential equations. The approximate solution of this model is obtained by using the step variational iteration method (SVIM) and variational iteration method (VIM). VIM used the general Lagrange multiplier in ...

In this paper, we give a comparison between some notions of weak sharp minima introduced in [5,15,43] for set-valued optimization problems. Besides, establish Lagrange multiplier rules general constrained problems involving new scalarization functionals based on the oriented distance. Moreover, provide sufficient optimality conditions considered without any convexity assumptions.

This paper presents a unified approach to solve different bilinear factorization problems in Computer Vision in the presence of missing data in the measurements. The problem is formulated as a constrained optimization problem where one of the factors is constrained to lie on a specific manifold. To achieve this, we introduce an equivalent reformulation of the bilinear factorization problem. Thi...

This paper presents Chemo-tactic PSO-DE (CPSO-DE) optimization algorithm combined with Lagrange Relaxation method (LR) for solving Unit Commitment (UC) problem. The proposed approach employs Chemo-tactic PSO-DE algorithm for optimal settings of Lagrange multipliers. It provides high-quality performance and reaches global solution and is a hybrid heuristic algorithm based on Bacterial Foraging O...

We discuss Lagrange multiplier rules from a variational perspective. This allows us to highlight many of the issues involved and also to illustrate how broadly an abstract version can be applied.