71 citations · 370 across the 39 of their papers we have counts for
40 papers
Principal Component Analysis for Zero-Inflated Probability Measures via Lorenz Curves
Giacomo Aletti, Enea G. Bongiorno
This paper develops a principal component analysis framework for probability measures associated with non-negative real-valued random variables with structural zeros. Specifically,…
From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling
Giacomo Aletti, Giovanni Naldi
This paper investigates matrix scaling processes in the context of local normalization algorithms and their convergence behavior. Starting from the classical Sinkhorn algorithm, th…
Maximum Likelihood Estimation under the Emax Model: Existence, Geometry and Efficiency
Giacomo Aletti, Nancy Flournoy, Caterina May +1
This study focuses on the estimation of the Emax dose-response model, a widely utilized framework in clinical trials, agriculture, and environmental experiments. Existing challenge…
Interacting Innovation processes: case studies from Reddit and Gutenberg
Giacomo Aletti, Irene Crimaldi, Andrea Ghiglietti
In this work, we introduce an extremely general model for a collection of innovation processes in order to model and analyze the interaction among them. We provide theoretical resu…
Networks of reinforced stochastic processes: probability of asymptotic polarization and related general results
Giacomo Aletti, Irene Crimaldi, Andrea Ghiglietti
In a network of reinforced stochastic processes, for certain values of the parameters, all the agents' inclinations synchronize and converge almost surely toward a certain random v…
Opinion Dynamics on Graphon: the piecewise constant case
Giacomo Aletti, Giovanni Naldi
The study of network supported opinion dynamics in large groups of autonomous agents is attracting an increasing interest during the last years. In this paper, we proposed the use…
Networks of reinforced stochastic processes: a complete description of the first-order asymptotics
Giacomo Aletti, Irene Crimaldi, Andrea Ghiglietti
We consider a finite collection of reinforced stochastic processes with a general network-based interaction among them. We provide sufficient and necessary conditions in order to h…
The Rescaled Polya Urn and the Wright-Fisher process with mutation
Giacomo Aletti, Irene Crimaldi
In [arXiv:1906.10951 (forthcoming on Advances in Applied Probability),arXiv:2011.05933 (published on PLOS ONE)] the authors introduce, study and apply a new variant of the Eggenber…
Damping effect in innovation processes: case studies from Twitter
Giacomo Aletti, Irene Crimaldi
Understanding the innovation process, that is the underlying mechanisms through which novelties emerge, diffuse and trigger further novelties is undoubtedly of fundamental importan…
A model for the Twitter sentiment curve
Giacomo Aletti, Irene Crimaldi, Fabio Saracco
Twitter is among the most used online platforms for the political communications, due to the concision of its messages (which is particularly suitable for political slogans) and th…
Generalized Rescaled Polya urn and its statistical applications
Giacomo Aletti, Irene Crimaldi
We introduce the Generalized Rescaled Polya (GRP) urn, that provides a generative model for a chi-squared test of goodness of fit for the long-term probabilities of clustered data,…
Taylor's law in innovation processes
F. Tria, I. Crimaldi, G. Aletti +1
Taylor's law quantifies the scaling properties of the fluctuations of the number of innovations occurring in open systems. Urn based modelling schemes have already proven to be eff…
Analytical confidence intervals for the number of different objects in data streams
Giacomo Aletti
This paper develops a new mathematical-statistical approach to analyze a class of Flajolet-Martin algorithms (FMa), and provides analytical confidence intervals for the number F0 o…
The Rescaled Polya Urn: local reinforcement and chi-squared goodness of fit test
Giacomo Aletti, Irene Crimaldi
Motivated by recent studies of big samples, this work aims at constructing a parametric model which is characterized by the following features: (i) a "local" reinforcement, i.e. a…
Interacting reinforced stochastic processes: statistical inference based on the weighted empirical means
Giacomo Aletti, Irene Crimaldi, Andrea Ghiglietti
This work deals with a system of interacting reinforced stochastic processes, where each process is located at a vertex of a finite weighted direct graph, and…
Likelihood test in permutations with bias. Premier League and La Liga: surprises during the last 25 seasons
Giacomo Aletti
In this paper, we introduce the models of permutations with bias, which are random permutations of a set, biased by some preference values. We present a new parametric test, togeth…
A new nonlocal nonlinear diffusion equation for image denoising and data analysis
Giacomo Aletti, Monica Moroni, Giovanni Naldi
In this paper we introduce and study a new feature-preserving nonlinear anisotropic diffusion for denoising signals. The proposed partial differential equation is based on a novel…
A clustering algorithm for multivariate data streams with correlated components
Giacomo Aletti, Alessandra Micheletti
Common clustering algorithms require multiple scans of all the data to achieve convergence, and this is prohibitive when large databases, with data arriving in streams, must be pro…
Networks of reinforced stochastic processes: asymptotics for the empirical means
Giacomo Aletti, Irene Crimaldi, Andrea Ghiglietti
This work deals with systems of interacting reinforced stochastic processes, where each process is located at a vertex of a finite weighted direct graph, and…
Nonparametric covariate-adjusted response-adaptive design based on a functional urn model
Giacomo Aletti, Andrea Ghiglietti, William F. Rosenberger
In this paper we propose a general class of covariate-adjusted response-adaptive (CARA) designs based on a new functional urn model. We prove strong consistency concerning the func…
Generation of discrete random variables in scalable frameworks
Giacomo Aletti
In this paper, we face the problem of simulating discrete random variables with general and varying distributions in a scalable framework, where fully parallelizable operations sho…
Synchronization of Reinforced Stochastic Processes with a Network-based Interaction
Giacomo Aletti, Irene Crimaldi, Andrea Ghiglietti
Randomly evolving systems composed by elements which interact among each other have always been of great interest in several scientific fields. This work deals with the synchroniza…
Fractional Poisson Fields and Martingales
Giacomo Aletti, Nikolai Leonenko, Ely Merzbach
We present new properties for the Fractional Poisson process and the Fractional Poisson field on the plane. A martingale characterization for Fractional Poisson processes is given.…
Interacting generalized Friedman's urn systems
Giacomo Aletti, Andrea Ghiglietti
We consider systems of interacting Generalized Friedman's Urns (GFUs) having irreducible mean replacement matrices. The interaction is modeled through the probability to sample the…