Re: DM: CSI Visualizer Workstation Announcement

[Georges Grinstein]

Rhonda Delmater <rdelmater@csihq.com> writes:
> CSI's Visualizer Workstation Provides Important New Data Mining 
>Insights 
>                Data can be viewed in multi-dimensional space. 
> ... The Visualizer Workstation allows
> users to view, manipulate and analyze sets of discrete data points
> in up to 10-dimensions simultaneously.  Nearness, occlusion, and
> perspective are preserved. 
and Warren Sarle <saswss@unx.sas.com> comments:

> It is mathematically impossible except in degenerate cases to 
>display
> 10-dimensional data in such a way that nearness of points in the 10D
> space is visually preserved.


Nope. Any projection (in the classic sense) that projects down to 2D 
is
continuous. That is if 2 points are close in 10D space then they are
close in the projected 2D space (the converse is not true). I want to
add also that there are  transformations of 10D to 2D which do present
all 10D data (with no loss of data) and for which closeness in 2D
implies closeness in 10D (a parallel coordinate representation of that
10D data for example).

-- 
Georges Grinstein   Institute for Visualization and Perception 
Research
Professor and Director          University of Massachusetts Lowell
phone:  (978) 934-3627          Computer Science Department
fax:    (978) 934-3551          Lowell MA 01854
email:  ggg@cs.uml.edu          web:  http://www.cs.uml.edu/~grinstei
and
Georges Grinstein               Spacetec IMC Corporation
phone:  (978) 275-6100          The Boott Mills
email:  ggg@spacetec.com        100 Foot of John Street
http://www.spacetec.com         Lowell MA 01852