The covariance matrix in the Mahalanobis distance can be trained by semi-definite programming, but training for a large size data set is inefficient. In this paper, we constrain the covariance matrix to be diagonal and train Mahalanobis kernels by linear programming (LP). Training can be formulated by ν-LP SVMs (support vector machines) or regular LP SVMs. We clarify the dependence of the solut...

Within the framework of kernel methods, linear data methods have almost completely been extended to their nonlinear counterparts. In this paper, we focus on nonlinear kernel techniques based on the Mahalanobis distance. Two approaches are distinguished here. The first one assumes an invertible covariance operator, while the second one uses a regularized covariance. We discuss conceptual and exp...

This report is intended to facilitate dialogue between engineers and optimizers about the eeciency of Taguchi methods for robust design, especially in the context of design by computer simulation. Three approaches to robust design are described: 1. Robust optimization, i.e. specifying an objective function f and then minimizing a smoothed (robust) version of f by the methods of numerical optimi...

Experimental design is a powerful approach to study the impact of potential variables affecting systems and provides spontaneous insight for continuous improvement possibilities. Most research in system design has focused on problems with a single characteristic or response. This paper is concerned with the application of a design method to problems with multiple characteristics. The study sequ...

A two-step optimal algorithms (TSO) is one of the well-known dynamic adjust techniques. It has shown successfully in a data-mining environment for adjusting parameters by many of algorithms. Simultaneously, this paper presents a novel algorithm, the Two Step Optimal algorithm (TSO), developed by Taguchi can construct a design system to test parameters under data-mining environment. Based on the...

The challenge of recent machining industries is reduce lead time and increase production rate in order to maintain their competitiveness. This paper investigates the machinability of mild steel in turning process perform on conventional lathe machine. Twoparameters like tool rake angle and feed are varied to investigate their effect on material removal rate. An attempt has been made to model th...

The multiobjective design of digital filters using the powerful Taguchi optimization technique is considered in this paper. This relatively new optimization tool has been recently introduced to the field of engineering and is based on orthogonal arrays. It is characterized by its robustness, immunity to local optima trapping, relative fast convergence and ease of implementation. The objectives ...

Design of experiments (DOE) methods are very commonly used for process validation. In this study, we employed the Taguchi approach in order to develop an optimal process for the maximization of oscillatory shear stress environments (OSS). OSS has been associated with increase in cellular activity and has been linked to healthy gene expression and tissue formation. Therefore, OSS may be a key fa...