Is There A Good And Easy Way To Visualize High Dimensional Data?

Can someone please tell me if there is a good (easy) way to visualize high dimensional data? My data is currently 21 dimensions but I would like to see how whether it is dense or s

Solution 1:

Parallel coordinates are a popular method for visualizing high-dimensional data.

What kind of visualization is best for your data in particular will depend on its characteristics-- how correlated are the different dimensions?

Solution 2:

Principal component analysis could be helpful if the dimensions are correlated.

Solution 3:

The buzzword I would search for is multidimensional scaling. It is a technique to develop a projection from the high dimensional space to a lower space (2 or 3 dimensional) in such a way that points which are close in the full space will be close in the projection.

It is often used for visualising the output of clustering algorithms (i.e. if your clusters are compact in the MDS projection there is a good chance they are also in the full space).

Edit: This wouldn't necessarily help with determining if the data is dense or sparse, because you lose the scale in the projection, but it would show whether it is uniform or clumpy (perhaps thats what you mean).

Solution 4:

Not sure what kind of patterns you would like to see from the data. t-SNE and its faster variant Barnes-Hut-SNE do a very good job in visualizing groups of related concepts for high-dimensional data. It is available through R.

There is a short tutorial on using it against high-dimensional data with about 300 dimensions. http://www.codeproject.com/Tips/788739/Visualizing-High-Dimensional-Vector-using-T-SNE-wi

Solution 5:

I was looking for ways to visualize high dimensional data and found this t-SNE technique that has been used effectively. Might help others as well.