Special Session 5: Scientific Computation and Numerical Algorithms

Optimal Quantization

Mrinal K Roychowdhury
University of Texas Rio Grande Valley
USA
Co-Author(s):    
Abstract:
Quantization deals with the approximation of continuous objects (i.e. probability distributions) by finite objects. This area has its origin in engineering and is driven by various applications in communication, information theory, signal processing and data compression. During the last twenty years mathematicians have started working on the development of a rigorous mathematical theory, and quantization is nowadays an active area of mathematical research. Natural problems of study are to obtain for a given distribution a best approximation for a fixed number of points, and to understand the asymptotic error rate. I will talk about it.