Developing And Comparing Numerical Methods For Computing The Inverse Fourier Transform Abstract
... The Fourier transform is (up to a negative sign and a scalar factor depending on the definition used) its own inverse. Thus, a numerical method that computes one, computes the other. However, with the exception of the Gaussian function ( e x ), functions and their Fourier transforms have different ...
... The Fourier transform is (up to a negative sign and a scalar factor depending on the definition used) its own inverse. Thus, a numerical method that computes one, computes the other. However, with the exception of the Gaussian function ( e x ), functions and their Fourier transforms have different ...
Data Discretization
... discretization algorithms: Yang and Webb; Kurgan and Cios (CAIM); Boulle (Khiops). • CAIM attempts to minimize the number of discretization intervals and at the same time to minimize the information loss. • Khiops uses Pearson’s X2 statistic to select merging consecutive intervals that minimize the ...
... discretization algorithms: Yang and Webb; Kurgan and Cios (CAIM); Boulle (Khiops). • CAIM attempts to minimize the number of discretization intervals and at the same time to minimize the information loss. • Khiops uses Pearson’s X2 statistic to select merging consecutive intervals that minimize the ...
Mathematical optimization
In mathematics, computer science and operations research, mathematical optimization (alternatively, optimization or mathematical programming) is the selection of a best element (with regard to some criteria) from some set of available alternatives.In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization of optimization theory and techniques to other formulations comprises a large area of applied mathematics. More generally, optimization includes finding ""best available"" values of some objective function given a defined domain (or a set of constraints), including a variety of different types of objective functions and different types of domains.