Visualizing High Dimensional Data (PCA, LLE, t-SNE)

Here is a Great talk about data visualization: Visualizing Data Using t-SNE - YouTube

Here is the PCA 2 dimension reduction of mnist data (digit 28x28). 

Now with a better transformation to keep distance function.

Isomap

LLE (collapse many points to one)

T-SNE:

So now, what is better in the context of unlabeled data?

 or 

You can now use t-SNE to visualize millions of objects. Very exciting!  http://arxiv.org/abs/1301.3342

article:Visualizing Data using t-SNE