James Wilson

I'll introduce a class of cluster patterns for tensor data used in pattern matching, outlier detections, statistics and signal processing. Then I will show they are all shadows of a general pattern detected efficiently by algebra, specifically Lie...

In a quantifiable way most groups, rings, and Lie algebras are nilpotent. In fact even the extension of two abelian groups, or two trivial algebras, has enough variation to match the total quantity of all finite groups, resp. finite-dimensional...