‎Many optimization problems can be reduced to a problem with an increasing and co-radiant objective function by a suitable transformation of variables. Functions, which are increasing and co-radiant, have found many applications in microeconomic analysis. In this paper, the abstract convexity of positive valued affine increasing and co-radiant (ICR) functions are discussed. Moreover, the ...

A program transformation technique should terminate, return efficient output programs and be efficient itself. These requirements are mutually conflicting, so a balance must be sought between definite termination and possible efficiency. For positive supercompilation [17], ensuring termination requires memoisation of expressions, and these are subsequently used to determine when to perform gene...

Iterated function systems have been most extensively studied when the functions are affine transformations of Euclidean space and, more recently, projective transformations on real projective space. This paper investigates iterated function systems consisting of Möbius transformations on the extended complex plane or, equivalently, on the Riemann sphere. The main result is a characterization, i...

We consider the problem of learning an unknown product distribution X over {0, 1}n using samples f (X) where f is a known transformation function. Each choice of a transformation function f specifies a learning problem in this framework. Information-theoretic arguments show that for every transformation function f the corresponding learning problem can be solved to accuracy ǫ, using Õ(n/ǫ2) exa...

Absract--Voice conversion involves transformation of speaker characteristics in a speech uttered by a speaker called source speaker to generate a speech having voice characteristics of a desired speaker called the target speaker. Voice conversion is used in many applications namely dubbing, to enhance the quality of the speech, text-to-speech synthesizers, online games, multimedia, music, cross...

This paper presents circular polar coordinates transformation of periodic fuzzy membership function. The purpose is identification of domain of periodic membership functions in consequent part of IF-THEN rules. Proposed methods in this paper remove complicatedness concerning domain of periodic membership function from defuzzification in fuzzy approximate reasoning. Defuzzification on circular p...

System identification is the process of creating models of dynamic process from inputoutput signals. The aim of system identification can be identified as “ to find a model with adjustable parameters and then to adjust them so that the predicted output matches the measured output”. This paper presents a method of modeling and simulating with system identification to achieve the maximum fitness ...

Multidimensional transfer functions are an effective description of physical systems with time and space as independent variables. They allow to construct discrete models which are suitable for computer implementation. The derivation of multidimensional transfer functions is straightforward for systems with self-adjoint spatial operators. It is based on the application of suitable functional tr...

Kähler quantization of H(T,R) is studied. It is shown that this theory corresponds to a fermionic σ-model targeting a noncommutative space. By solving the complex-structure moduli independence conditions, the quantum background independent wave function is obtained. We study the transformation of the wave function under modular transformation. It is shown that the transformation rule is charact...

Given a strictly convex plane curve, the dual billiard transformation is the transformation of its exterior defined as follows: given a point x outside the curve, draw a support line to it from the point and reflect x at the support point. We show that the dual billiard transformation far from the curve is well approximated by the time 1 transformation of a Hamiltonian flow associated with the ...