We start by creating two 2D objects: a "batman" shape and a "star" shape. Additionally, we create a 3D object, a "pyramid." These objects are defined as arrays of coordinates. We compare the results ...

This applet will help you in visualizing the effects of transformations on functions. Move the sliders on the right to change the translation and scaling factors ...

Abstract: Based on the definition of linear transformations, the Walsh linear spectrum and cyclic spectrum and their inverse transformations are discussed; the dual property of Bent functions is also ...

Suitable linear transformations for preliminary data analysis are available when data consist solely of continuous variables or solely of binary variables. When mixtures of variables are observed, ...

This Jupyter notebook is inspired by the lectures of Professor Yaser Abu-Mostafa from the California Institute of Technology (Caltech). His YouTube series on machine learning covers a range of ...

Two vectors of information are needed to produce the optimally scaled variable: the initial variable scaling vector x and the target vector y. For convenience, both vectors are first sorted on the ...

This note shows that, under appropriate conditions, preferences may be locally approximated by the linear utility or risk-neutral preference functional associated with a local probability ...

Abstract: In evolutionary computation, for such applications as intelligent systems, it is especially important to improve the evolution level by establishing a self-adaptive fitness function ...