Category Archives: Information Theory

Passing Notes in Class

I just got back from a four-day camping trip for the Fourth. While roasting marshmallows and hiking along trails, I managed to fall into a few puzzles. Justin posed a puzzle that we’d formulated a while ago: a multi-person variation … Continue reading

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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

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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 rate-distortion theory better, I put together some rough notes attempting to connect it and the sampling … Continue reading

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