
Recent Posts
Archives
Categories
Meta
Blogroll
Monthly Archives: July 2010
Walking Downhill
The problem asks you to show that . If , then the solution is quite easy. Set the gradient equal to zero and solve the system of equations for . Since the function is convex, this is the minimum point, and … Continue reading
Posted in Information Theory, Papers
1 Comment
4 Prisoners
The end of the 100 Prisoners post asked if there is a way to show that there does not exist a strategy that meets the coupon collector lower bound for release when there are prisoners. Let’s first establish strategies for … Continue reading
Posted in Probability, Puzzle
Leave a comment
Shannon Meets Shannon
He’s met almost everyone else: Wiener, Bode, Bellman, Carnot, Tesla, Marconi, and of course, Shortz. Bad jokes aside, in an attempt to understand the inverse water filling solution from ratedistortion theory better, I put together some rough notes attempting to connect it and the sampling … Continue reading
Posted in Information Theory, Signal Processing
1 Comment