Mathematical Tools of Cluster Analysis

Cluster analysis and mathematical programming

Given a set of entities, Cluster Analysis aims at finding subsets, called clusters, which are homogeneous and/or well separated. As many types of clustering and criteria for homogeneity or separation are of interest, this is a vast field. A survey is given from a mathematical programming viewpoint. Steps of a clustering study, types of clustering and criteria are discussed. Then algorithms for ...

Mathematical Tools for Shape Analysis and Description

is book is a guide for researchers and practitioners to the new frontiers of 3D shape analysis and the complex mathematical tools most methods rely on. e target reader includes students, researchers and professionals with an undergraduate mathematics background, who wish to understand the mathematics behind shape analysis. e authors begin with a quick review of basic concepts in geometry, to...

3 Mathematical Tools 3

Mathematical tools for finance

This note deals with the basic mathematical tools commonly used in finance. Stochastic calculus and its applications will be presented. The best will be done to present both the PDE and the probabilistic approaches to finance. However, the focus will be mostly on (vanilla) option pricing and fixed income techniques won’t really be presented. For additional information such as Girsanov’s Theorem...

Scheduling Analysis of Time-Constrained Dual-Armed Cluster Tools

Cluster tools, each of which consists of several singlewafer processing chambers and a wafer handling robot, have been increasingly used for diverse wafer fabrication processes. Processes such as some low pressure chemical vapor deposition processes require strict timing control. Unless a wafer processed at a chamber for such a process leaves the chamber within a specified time limit, the wafer...