1 code implementation • 18 Mar 2024 • Alessio Benavoli, Dario Azzimonti
Preference modelling lies at the intersection of economics, decision theory, machine learning and statistics.
no code implementations • 17 Jul 2023 • Marco Zaffalon, Alessandro Antonucci, Rafael Cabañas, David Huber, Dario Azzimonti
This allows us to compute exact counterfactual bounds via algorithms for credal nets on a subclass of structural causal models.
1 code implementation • 1 Feb 2023 • Alessio Benavoli, Dario Azzimonti, Dario Piga
We propose a Gaussian Process model to learn choice functions from choice-data.
no code implementations • 5 Oct 2022 • Lorenzo Zambon, Dario Azzimonti, Giorgio Corani
The forecasts for these time series are required to be coherent, that is, to satisfy the constraints given by the hierarchy.
1 code implementation • 26 Jul 2022 • Marco Zaffalon, Alessandro Antonucci, Rafael Cabañas, David Huber, Dario Azzimonti
Causal analysis may be affected by selection bias, which is defined as the systematic exclusion of data from a certain subpopulation.
no code implementations • 19 Jul 2022 • Giorgio Corani, Dario Azzimonti, Nicolò Rubattu
Forecast reconciliation is an important research topic.
no code implementations • 17 Dec 2021 • Manuel Schürch, Dario Azzimonti, Alessio Benavoli, Marco Zaffalon
Gaussian processes (GPs) are an important tool in machine learning and statistics with applications ranging from social and natural science through engineering.
no code implementations • 15 Oct 2021 • Alessio Benavoli, Dario Azzimonti, Dario Piga
In this work we introduce a new framework for multi-objective Bayesian optimisation where the multi-objective functions can only be accessed via choice judgements, such as ``I pick options A, B, C among this set of five options A, B, C, D, E''.
1 code implementation • 12 Dec 2020 • Alessio Benavoli, Dario Azzimonti, Dario Piga
In a recent contribution we showed that SkewGP and probit likelihood are conjugate, which allows us to compute the exact posterior for non-parametric binary classification and preference learning.
no code implementations • 13 Nov 2020 • Oleg Szehr, Dario Azzimonti, Laura Azzimonti
A kernel-based framework for spatio-temporal data analysis is introduced that applies in situations when the underlying system dynamics are governed by a dynamic equation.
no code implementations • 15 Aug 2020 • Alessio Benavoli, Dario Azzimonti, Dario Piga
In this paper, we prove that the true posterior distribution of the preference function is a Skew Gaussian Process (SkewGP), with highly skewed pairwise marginals and, thus, show that Laplace's method usually provides a very poor approximation.
no code implementations • 13 Jul 2020 • Dario Azzimonti, Manuel Schürch, Alessio Benavoli, Marco Zaffalon
Sparse inducing points have long been a standard method to fit Gaussian processes to big data.
1 code implementation • 26 May 2020 • Alessio Benavoli, Dario Azzimonti, Dario Piga
In spite of their success, GPs have limited use in some applications, for example, in some cases a symmetric distribution with respect to its mean is an unreasonable model.
1 code implementation • 28 May 2019 • Manuel Schürch, Dario Azzimonti, Alessio Benavoli, Marco Zaffalon
Gaussian Processes (GPs) are powerful kernelized methods for non-parameteric regression used in many applications.
no code implementations • 22 Nov 2016 • Dario Azzimonti, David Ginsbourger, Clément Chevalier, Julien Bect, Yann Richet
The system is modeled by an expensive-to-evaluate function, such as a computer experiment, and we are interested in its excursion set, i. e. the set of points where the function takes values above or below some prescribed threshold.
no code implementations • 15 Jan 2015 • Dario Azzimonti, Julien Bect, Clément Chevalier, David Ginsbourger
In this setting, the posterior distribution on the objective function gives rise to a posterior distribution on excursion sets.