From the 1 of 7 linked papers with an AI index.
7 papers
A multi-factorial innovation model with mean-field interaction
Giacomo Aletti, Irene Crimaldi, Andrea Ghiglietti
The paper introduces a new Indian buffet process model that incorporates mean‑field interaction and reinforcement, and analyzes its asymptotic behavior, phase transitions, and limi…
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…
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…
Granger Causality in Expectiles: an M-vine copula test
Roberto Fuentes-MartÃnez, Irene Crimaldi
A model-free measure of Granger causality in expectiles is proposed, generalizing the traditional mean-based measure to arbitrary positions of the conditional distribution. Expecti…
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…
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…