## Sparse distributed representations and witness complexes

A PDF version of this post can be found here. Quite a while ago I stumbled over the white paper [3] of a science startup called Numenta. At the core of the paper lies the model of a sequence memory that enables…

## Mapper – A discrete generalization of the Reeb graph

This is the third of a series of posts on cluster-algorithms and ideas in data analysis. Mapper is a construction that uses a given cluster-algorithm to associate a simplicial complex to a reference map on a given data set. It…