4 papers
Replica analysis of overfitting in generalized linear models
ACC Coolen, M Sheikh, A Mozeika +2
Nearly all statistical inference methods were developed for the regime where the number of data samples is much larger than the data dimension . Inference protocols such as…
Glassiness and Lack of Equipartition in Random Lasers: the common roots of Ergodicity Breaking in Disordered and Non-linear Systems
Giacomo Gradenigo, Fabrizio Antenucci, Luca Leuzzi
We present here for the first time a unifying perspective for the lack of equipartition in non-linear ordered systems and the low temperature phase-space fragmentation in disordere…
Approximate Survey Propagation for Statistical Inference
Fabrizio Antenucci, Florent Krzakala, Pierfrancesco Urbani +1
Approximate message passing algorithm enjoyed considerable attention in the last decade. In this paper we introduce a variant of the AMP algorithm that takes into account glassy na…
Glassy nature of the hard phase in inference problems
Fabrizio Antenucci, Silvio Franz, Pierfrancesco Urbani +1
An algorithmically hard phase was described in a range of inference problems: even if the signal can be reconstructed with a small error from an information theoretic point of view…