We consider restricted Boltzmann machine (RBMs) trained over an unstructured dataset made
of blurred copies of definite but unavailable “archetypes” and we show that there exists a …

Blockchains are among the most relevant emerging technologies of recent times and,
according to many, they will have a central role in shaping the future of our society. Since the …

The flourishing of fake news is supported by recommendation algorithms of online social
networks, which, based on previous user activity, provide content adapted to their preferences …

Scale-free networks are one of the most famous examples of emergent behavior and are
ubiquitous in social systems, especially online social media in which users can follow each …

A central problem in economics and statistics is the assessment of income or wealth inequality
starting from empirical data. Here we focus on the behavior of Gini index, one of the most …

Many natural and socioeconomic systems are characterized by power-law distributions that
make the occurrence of extreme events not negligible. Such events are sometimes referred …

The rank-size plots of a large number of different physical and socio-economic systems are
usually said to follow Zipf's law, but a unique framework for the comprehension of this …

The retrieval capabilities of associative neural networks are known to be impaired by fast
noise, which endows neuron behavior with some degree of stochasticity, and by slow noise, …

The statistical characterization of the distribution of visible matter in the universe is a central
problem in modern cosmology. In this respect, a crucial question still lacking a definitive …

A central role in shaping the experience of users online is played by recommendation
algorithms. On the one hand they help retrieving content that best suits users taste, but on the …