On the importance of alpha marginalization in maximum entropy
The correct entropic prior, computed by marginalization over the regularization parameter alpha, is used to invert photoemission data and to restore the famous Susie image. Comparison with the conventional maximum entropy procedure shows less overfitting of noise and demonstrates the residual ringing which is intrinsic to ill-posed inversion problems. An improvement to the steepest descent approximation reveals the reason for the overfitting. On top of that, the correct treatment of the regularization parameter is vital for the existence of the continuum-limit of the maximum entropy method (MaxEnt).
Bibliographic Reference: Article: Maximum Entropy and Bayesian Methods (1996) pp. 229-236
Record Number: 199710065 / Last updated on: 1997-02-26
Original language: en
Available languages: en