Weight Function Optimisation to Get Constancy for a Given Mobius Transformational High Dimensional Model Representation

摘要

This work focuses on the weight optimization via constancy maximization using the method called Transformational High Dimensional Model Representation (THDMR) which enables us to transform a function to another function or also a function multiplication operator to another function multiplication operator. In this work we choose a special transformation called a Mobius Transformation which preserves the form in inversion. The main goal is to maximize the constancy of Mobius Transformational High Dimensional Model Representation expansion with respect to the weight function of the representation. The basic purpose here is mere formalism.