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 o
Take a look at http://www.ggobi.org (tours, parallel coordinates, scatterplot matrices) can be used for real-valued variables. Also http://cranvas.org for more recent. The tourr package in R.
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.
Star Schema.
http://en.wikipedia.org/wiki/Star_schema
Works well for high-dimensional data.
If the cardinality of your fact table is close to the product of your dimension sizes, you have dense data.
If the cardinality of your fact table is smaller than the product of your dimension sizes, you have sparse data.
In the middle you have a judgement call.