20 citations · 92 across the 16 of their papers we have counts for
17 papers
A multi-factorial innovation model with mean-field interaction
Giacomo Aletti, Irene Crimaldi, Andrea Ghiglietti
We introduce an Indian-buffet-type model for multi-factorial innovation in which each arriving agent may exhibit both previously observed and new features. The number of new featur…
Triggered urn models for frequently asked questions (FAQ)
Irene Crimaldi, Andrea Ghiglietti, Leen Hatem +1
We investigate a nonclassic urn model with triggers that increase the number of colors. The scheme has emerged as a model for web services that set up frequently asked questions (F…
Modeling Innovation Ecosystem Dynamics through Interacting Reinforced Bernoulli Processes
Giacomo Aletti, Irene Crimaldi, Andrea Ghiglietti +1
Innovation is cumulative and interdependent: successful inventions build on prior knowledge within technological fields and may also affect success across related ones. Yet these d…
Central limit theorems for interacting innovation processes, related statistical tools and general results
Giacomo Aletti, Irene Crimaldi, Andrea Ghiglietti
We study a networked system of innovation processes, where each process is modeled as an urn with infinitely many colors-a classical framework for capturing the emergence of novelt…
Design and inference for multi-arm clinical trials with informational borrowing: the interacting urns design
Giacomo Aletti, Alessandro Baldi Antognini, Irene Crimaldi +2
This paper deals with a new design methodology for stratified comparative experiments based on a system of interacting urns. The key idea is to model the interaction between urns f…
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…
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…
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…
A k-means procedure based on a Mahalanobis type distance for clustering multivariate functional data
Andrea Martino, Andrea Ghiglietti, Francesca Ieva +1
This paper proposes a clustering procedure for samples of multivariate functions in , with . This method is based on a k-means algorithm in which the distance…
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…
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…
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…
Dynamics of an Adaptive Randomly Reinforced Urn
Giacomo Aletti, Andrea Ghiglietti, Anand Vidyashankar
Adaptive randomly reinforced urn (ARRU) is a two-color urn model where the updating process is defined by a sequence of non-negative random vectors …
Central limit Theorem for an Adaptive Randomly Reinforced Urn Model
Andrea Ghiglietti, Anand N. Vidyashankar, William F. Rosenberger
The generalized Pòlya urn (GPU) models and their variants have been investigated in several disciplines. However, typical assumptions made with respect to the GPU do not include ur…
On linear regression models in infinite dimensional spaces with scalar response
Andrea Ghiglietti, Francesca Ieva, Anna Maria Paganoni +1
In functional linear regression, the parameters estimation involves solving a non necessarily well-posed problem and it has points of contact with a range of methodologies, includi…