Showing posts with label Error exponent. Show all posts
Showing posts with label Error exponent. Show all posts

MSE vs topology for GMRFs

Closed form expressions for the MSE for stylized topologies such as complete graph, star and cycle seem very doable.. and so are the error exponents


Star network + Noisy central node

Error exponent analysis for Star networks. Quite interesting results ...

Does smarter mean more dumber?

TURNS OUT, IN OUR FRAMEWORK OF ERROR EXPONENT ANALYSIS, MAP CANNOT BE BETTER THAN TRIVIAL ESTIMATION!

Classification erro vs topology

An attempt at doing low SNR analysis of MSE which is UB of Probability of error via the Verdu-Estimation-marries-Info theory route.
Result: MSE in terms of the graph spectra. Or rather spectra of the covariance matrix!

Trick: Approximate the GMRF via a common Gaussian.