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11 papers · 1 filter
Adaptive Design of Experiments for Conservative Estimation of Excursion Sets
Dario Azzimonti, David Ginsbourger, Clément Chevalier +2
We consider the problem of estimating the set of all inputs that leads a system to some particular behavior. The system is modeled by an expensive-to-evaluate function, such as a c…
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…
Direct data-driven control of constrained linear parameter-varying systems: A hierarchical approach
Dario Piga, Simone Formentin, Alberto Bemporad
In many nonlinear control problems, the plant can be accurately described by a linear model whose operating point depends on some measurable variables, called scheduling signals. W…
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…