Search Results for author: Dario Azzimonti

Found 16 papers, 6 papers with code

A tutorial on learning from preferences and choices with Gaussian Processes

1 code implementation18 Mar 2024 Alessio Benavoli, Dario Azzimonti

Preference modelling lies at the intersection of economics, decision theory, machine learning and statistics.

Gaussian Processes

Efficient Computation of Counterfactual Bounds

no code implementations17 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.

Causal Inference counterfactual

Learning Choice Functions with Gaussian Processes

1 code implementation1 Feb 2023 Alessio Benavoli, Dario Azzimonti, Dario Piga

We propose a Gaussian Process model to learn choice functions from choice-data.

Gaussian Processes

Efficient probabilistic reconciliation of forecasts for real-valued and count time series

no code implementations5 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.

Time Series Time Series Analysis

Bounding Counterfactuals under Selection Bias

1 code implementation26 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.

Selection bias

Correlated Product of Experts for Sparse Gaussian Process Regression

no code implementations17 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.

Gaussian Processes regression +1

Choice functions based multi-objective Bayesian optimisation

no code implementations15 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''.

Bayesian Optimisation

A unified framework for closed-form nonparametric regression, classification, preference and mixed problems with Skew Gaussian Processes

1 code implementation12 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.

Active Learning Binary Classification +2

An exact kernel framework for spatio-temporal dynamics

no code implementations13 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.

Density Estimation

Preferential Bayesian optimisation with Skew Gaussian Processes

no code implementations15 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.

Bayesian Optimisation Gaussian Processes +2

Orthogonally Decoupled Variational Fourier Features

no code implementations13 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.

Gaussian Processes

Skew Gaussian Processes for Classification

1 code implementation26 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.

Classification Gaussian Processes +1

Recursive Estimation for Sparse Gaussian Process Regression

1 code implementation28 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.

Gaussian Processes regression

Adaptive Design of Experiments for Conservative Estimation of Excursion Sets

no code implementations22 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.

Quantifying uncertainties on excursion sets under a Gaussian random field prior

no code implementations15 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.

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