Better than the best low-rank approximation with the SVD.
It’s February 29th 2024, Gene Golub’s 23rd birthday. Time to do an SVD and talk to a junior colleague. But don’t do a silly SVD example–learn how to level-up your SVD. Using the SVD. (This is a link to YouTube – go watch it!)
That’s right, you can actually use the SVD itself to do better approximations of data. The key is to reorganize your data. For images, this means using little tiles.