Density of Extremal Sets in Multivariate Chebyshev Approximation

Transductive-Inductive Cluster Approximation Via Multivariate Chebyshev Inequality

Approximating adequate number of clusters in multidimensional data is an open area of research, given a level of compromise made on the quality of acceptable results. The manuscript addresses the issue by formulating a transductive inductive learning algorithm which uses multivariate Chebyshev inequality. Considering clustering problem in imaging, theoretical proofs for a particular level of co...

Some Density Problems in Multivariate Approximation

In this report we will review some density problems in multivariate approximation. Some of these problems are related to approximation by radial basis functions and ridge functions. Others are motivated by various mathematical models in the theory of (artificial) neural networks and computerized tomography. §

Chebyshev Centers and Approximation in Pre-Hilbert C*-Modules

Discrete linear Chebyshev approximation

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Generalized Rational Chebyshev Approximation

In this paper, a generalized rational Chebyshev approximation problem is considered. The problem is this: To minimize the maximum absolute value of the "criterion function" of the error. By imposing a rather natural restriction on the criterion function, the problem is solved completely; the existence, the uniqueness and the characterization of the best approximation are clarified and interesti...