ISOMAP is a non-linear technique for dimension reduction which allows you to find relationships in an unordered dataset.

– What do you mean by non-linear?

As opposed to other linear techniques used for **dimension reduction** like PCA or SVD, data points that in appearence are close to each other (small *Euclidean* distance) could in fact be farther (*Geodesic* distance)

In the picture below, in the Swiss Roll, the red dots and the blue ones are very close in terms of the *Euclidean* distance but very far in the *Geodesic* distance.

With the help of R and the “RDRToolbox” package I’ve developed this Cool Shiny

## related posts

### add a comment

Great!