Future Discussion Topics

Pattern Theory

[Karthik]
Pattern Theory, a relatively new field with a rigorous mathematical bent maybe a good topic to discuss.
There is the Pattern Theory Group at the Applied Math Dept., in Brown University which does considerable work in this. I found the work to be extremely interesting and much in sync with my interest.
We can find the group at
WebPage

Basic Tenets of Pattern Theory [Source : Wikipedia ]

• Identify the hidden variables of a data set using real world data rather than artificial stimuli, which was commonplace at the time.
• Formulate prior distributions for hidden variables and models for the observed variables that form the vertices of a Gibbs-like graph
• Study the randomness and variability of these graphs.
• Create the basic classes of stochastic models applied by listing the deformations of the patterns.
• Synthesize (sample) from the models, not just analyze signals with it.

Broad in its mathematical coverage, Pattern Theory spans algebra and statistics, as well as local topological and global entropic properties.