155 citations · 364 across the 31 of their papers we have counts for
7 papers · 1 filter
Quantum rational preferences and desirability
Alessio Benavoli, Alessandro Facchini, Marco Zaffalon
We develop a theory of quantum rational decision making in the tradition of Anscombe and Aumann's axiomatisation of preferences on horse lotteries. It is essentially the Bayesian d…
Statistical comparison of classifiers through Bayesian hierarchical modelling
Giorgio Corani, Alessio Benavoli, Janez Demšar +2
Usually one compares the accuracy of two competing classifiers via null hypothesis significance tests (nhst). Yet the nhst tests suffer from important shortcomings, which can be ov…
Time for a change: a tutorial for comparing multiple classifiers through Bayesian analysis
Alessio Benavoli, Giorgio Corani, Janez Demsar +1
The machine learning community adopted the use of null hypothesis significance testing (NHST) in order to ensure the statistical validity of results. Many scientific fields however…
A Gleason-type theorem for any dimension based on a gambling formulation of Quantum Mechanics
Alessio Benavoli, Alessandro Facchini, Marco Zaffalon
Based on a gambling formulation of quantum mechanics, we derive a Gleason-type theorem that holds for any dimension n of a quantum system, and in particular for n = 2. The theorem…
Quantum mechanics: The Bayesian theory generalised to the space of Hermitian matrices
Alessio Benavoli, Alessandro Facchini, Marco Zaffalon
We consider the problem of gambling on a quantum experiment and enforce rational behaviour by a few rules. These rules yield, in the classical case, the Bayesian theory of probabil…
A unified framework for deterministic and probabilistic D-stability analysis of uncertain polynomial matrices
Dario Piga, Alessio Benavoli
Many problems in systems and control theory can be formulated in terms of robust D-stability analysis, which aims at verifying if all the eigenvalues of an uncertain matrix lie in…