#04: Multidimensional Visualization With Applications to Multivariate Problems

Organizer/Lecturer
Alfred Inselberg (Tel Aviv University)

Overview
Multidimensional perception is limited by our experience within our three-dimensional environment. This course begins with a short literature review of the mathematical foundations of parallel coordinates for visualization of multidimensional geometry. When these coordinates are interlaced with a variety of applications, visualization and recognition of multidimensional relations from their patterns are enabled, and this methodology can be applied to multivariate problems.

Prerequisites
This is a self-contained course for beginners. Mathematical sophistication, familiarity with computer graphics and interest in multidimensional (multivariate) problems are helpful but not necessary.

Topics
Visualization of multidimensional objects without loss of information. Selected applications to visual and automatic data mining (financial, process control, biomedical, military, and other examples with hundreds of variables). Collision-avoidance Algorithms. Computer vision. Non-linear models. Decision-support Systems with occasional numerological anecdotes and palindromic digressions.

Course #04 Notes (PDF, 1.5MB)