On the Importance of α Marginalization in Maximum Entropy

Publikation: Beitrag in Buch/Bericht/KonferenzbandSonstiger Beitrag in Buch/Bericht/Konferenzband


The correct entropic prior, computed by marginalization over the reg- ularization parameter a, 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 MaxEnt.
TitelMaximum Entropy and Bayesian Methods
Redakteure/-innenKenneth M. Hanson, Richard N. Silver
Herausgeber (Verlag)Springer Netherlands
ISBN (Print)978-94-010-6284-8 978-94-011-5430-7
PublikationsstatusVeröffentlicht - 1996


NameFundamental Theories of Physics
Herausgeber (Verlag)Springer Netherlands


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