15 citations · 43 across the 12 of their papers we have counts for
9 papers · 1 filter
Learning curves for Soft Margin Classifiers
Sebastian Risau-Gusman, Mirta B. Gordon
Typical learning curves for Soft Margin Classifiers (SMCs) learning both realizable and unrealizable tasks are determined using the tools of Statistical Mechanics. We derive the an…
Rigorous Bounds to Retarded Learning
Arnaud Buhot, Mirta B. Gordon, Jean-Pierre Nadal
We show that the lower bound to the critical fraction of data needed to infer (learn) the orientation of the anisotropy axis of a probability distribution, determined by Herschkowi…
Statistical Mechanics of Soft Margin Classifiers
Sebastian Risau-Gusman, Mirta B. Gordon
We study the typical learning properties of the recently introduced Soft Margin Classifiers (SMCs), learning realizable and unrealizable tasks, with the tools of Statistical Mechan…
Hierarchical learning in polynomial Support Vector Machines
Sebastian Risau-Gusman, Mirta B. Gordon
We study the typical properties of polynomial Support Vector Machines within a Statistical Mechanics approach that allows us to analyze the effect of different normalizations of th…
Storage Capacity of the Tilinglike Learning Algorithm
Arnaud Buhot, Mirta B. Gordon
The storage capacity of an incremental learning algorithm for the parity machine, the Tilinglike Learning Algorithm, is analytically determined in the limit of a large number of hi…
Generalization properties of finite size polynomial Support Vector Machines
Sebastian Risau-Gusman, Mirta B. Gordon
The learning properties of finite size polynomial Support Vector Machines are analyzed in the case of realizable classification tasks. The normalization of the high order features…