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4: Multidimensional Visualization With Applications to Multivariate
Problems
Sunday, Half Day
1:30 – 5:15 pm
Room 205
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.
Organizer/Lecturer
Alfred Inselberg
Tel Aviv University
Schedule
| 1:30 |
Introduction
to Multidimensional Visualization
Inselberg |
| 2:00 |
Parallel
Coordinates in 2D + Data Mining Applications on
Real Multivariate Datasets
Inselberg |
| 2:35 |
Multidimensional
Lines & Applications -- Automatic Collision
Avoidance Algorithms + One-shot Problem -- Demos
& Animations
Inselberg |
| 3:15 |
Break |
| 3:30 |
Exact
and Approximated Planes and Hyperplanes -- Applications
to Computer Vision and Geometric Modeling -- Automated
Data Mining
Inselberg |
| 4:30 |
Surfaces
and Hypersurfaces -- Interior Point Algorithm --
Application to Decision Support, Feasible Points,
Sensitivity and Trade-Off Analysis and Non-Linear
Visual Modeling
Inselberg |
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