Many questions of fundamental interest in today's science can be formulated as inference
problems: some partial, or noisy, observations are performed over a set of variables and the …

This review summarizes recent developments in the theory of spin glasses, as well as
pertinent experimental data. The most characteristic properties of spin glass systems are …

Gauge transformations of the random Ising model are shown to be useful in obtaining
rigorous results on thermodynamic quantities. In a restricted region of the phase diagram …

Debashish Chowdhury's critical review of more than a thousand papers not only identifies
the complexities involved in the theoretical understanding of the real spin glasses but also …

We consider a commonly studied supervised classification of a synthetic dataset whose
labels are generated by feeding a one-layer non-linear neural network with random iid …

The basic frameworks and techniques of the Bayesian approach to image restoration are
reviewed from the statistical-mechanical point of view. First, a few basic notions in digital …

TheNishimori line'is a line or hypersurface in the parameter space of systems with quenched
disorder, where simple expressions of the averages of physical quantities over the …

In this manuscript we consider denoising of large rectangular matrices: given a noisy
observation of a signal matrix, what is the best way of recovering the signal matrix itself? For …

We employ two different methods, based on belief propagation and TAP, for decoding
corrupted messages encoded by employing Sourlas's method, where the code word …

We develop a field-theoretical description of dynamical heterogeneities and fluctuations in
supercooled liquids close to the (avoided) MCT singularity. Using quasi-equilibrium …