Ex1. Due Apr 26 via email to [email protected] subject: Ex1 and last names 1. Given a high dimensional data, is there a way to know if all possible projections of the data are Gaussian? Explain - What if there is some additive Gaussian noise? Ex1. (cont.) 2. Use Fast ICA (easily found in google) http://www.cis.hut.fi/projects/ica/fastica/cod e/dlcode.html – Choose your favorite two songs – Create 3 mixture matrices and mix them – Apply fastica to de-mix 3. Bonus: Can you do ICA from a single microphone with two mixed signals? Ex1 (cont.) • Discuss the results – What happens when the mixing matrix is symmetric – Why did u get different results with different mixing matrices – Demonstrate that you got close to the original files – Try different nonlinearity of fastica, which one is best, can you see that from the data Ex1 (cont.) Submission – Your write-up should support your arguments with math and figures (in addition to text). – Grade will be based on the amount of support and clarity you provide for your arguments. – A single word of PDF to be attached to the mail with the name as appears in the subject of the email.