81 citations · 372 across the 16 of their papers we have counts for
16 papers
Exact results on high-dimensional linear regression via statistical physics
Alexander Mozeika, Mansoor Sheikh, Fabian Aguirre-Lopez +2
It is clear that conventional statistical inference protocols need to be revised to deal correctly with the high-dimensional data that are now common. Most recent studies aimed at…
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…
Self-starting nonlinear mode-locking in random lasers
Fabrizio Antenucci, Giovanni Lerario, Blanca Silva Fernandéz +4
In ultra-fast multi-mode lasers, mode-locking is implemented by means of ad hoc devices, like saturable absorbers or modulators, allowing for very short pulses. This comes about be…
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…
Improved Pseudolikelihood Regularization and Decimation methods on Non-linearly Interacting Systems with Continuous Variables
Alessia Marruzzo, Payal Tyagi, Fabrizio Antenucci +2
We propose and test improvements to state-of-the-art techniques of Bayeasian statistical inference based on pseudolikelihood maximization with regularization and with deci…
Inverse problem for multi-body interaction of nonlinear waves
Alessia Marruzzo, Payal Tyagi, Fabrizio Antenucci +2
The inverse problem is studied in multi-body systems with nonlinear dynamics representing, e.g., phase-locked wave systems, standard multimode and random lasers. Using a general mo…
Regularization and decimation pseudolikelihood approaches to statistical inference in -spin models
Payal Tyagi, Alessia Marruzzo, Andrea Pagnani +2
We implement a pseudolikelyhood approach with l2-regularization as well as the recently introduced pseudolikelihood with decimation procedure to the inverse problem in continuous s…
Statistical mechanics models for multimode lasers and random lasers
F. Antenucci, A. Crisanti, M. Ibáñez Berganza +2
We review recent statistical mechanical approaches to multimode laser theory. The theory has proved very effective to describe standard lasers. We refer of the mean field theory fo…
Inference for interacting linear waves in ordered and random media
P. Tyagi, A. Pagnani, F. Antenucci +2
A statistical inference method is developed and tested for pairwise interacting systems whose degrees of freedom are continuous angular variables, such as planar spins in magnetic…
Statistical physics of nonlinear wave interaction
Fabrizio Antenucci, Miguel Ibáñez Berganza, Luca Leuzzi
The thermodynamic properties of vector (O(2) and Complex Spherical) models with four-body interactions are analyzed. When defined in dense topologies, these are effective models fo…
The glassy random laser: replica symmetry breaking in the intensity fluctuations of emission spectra
Fabrizio Antenucci, Andrea Crisanti, Luca Leuzzi
The behavior of a newly introduced overlap parameter is analyzed, measuring the correlation between intensity fluctuations of waves in random media in different physical regimes, w…
The Complex Spherical 2+4 Spin Glass: a Model for Nonlinear Optics in Random Media
Fabrizio Antenucci, Andrea Crisanti, Luca Leuzzi
A disordered mean field model for multimode laser in open and irregular cavities is proposed and discussed within the replica analysis. The model includes the dynamics of the mode…
Statistical physical theory of mode-locking laser generation with a frequency comb
Fabrizio Antenucci, M. Ibáñez Berganza, Luca Leuzzi
A study of the Mode-locking lasing pulse formation in closed cavities is presented within a statistical mechanical framework where the onset of laser coincides with a thermodynamic…
General phase-diagram of multimodal ordered and disordered lasers in closed and open cavities
Fabrizio Antenucci, Claudio Conti, Andrea Crisanti +1
We present a unified approach to the theory of multimodal laser cavities including a variable amount of structural disorder. A general mean-field theory is studied for waves in med…