Preference modelling lies at the intersection of economics, decision theory, machine learning and statistics. By understanding individuals' preferences and how they make choices, we can build products that closely match their expectations, paving the way for more efficient and personalised applications across a wide range of domains. The objective of this tutorial is to present a cohesive and comprehensive framework for preference learning with Gaussian Processes (GPs), demonstrating how to seamlessly incorporate rationality principles (from economics and decision theory) into the learning process. By suitably tailoring the likelihood function, this framework enables the construction of preference learning models that encompass random utility models, limits of discernment, and scenarios with multiple conflicting utilities for both object- and label-preference. This tutorial builds upon established research while simultaneously introducing some novel GP-based models to address specific gaps in the existing literature.

翻译：偏好建模处于经济学、决策理论、机器学习与统计学的交叉领域。通过理解个体偏好及其决策机制，我们可以构建更贴合用户期望的产品，为跨领域的个性化高效应用铺平道路。本教程旨在建立一套完整且统一的基于高斯过程的偏好学习框架，系统展示如何将经济学与决策理论中的理性原则无缝融入学习过程。通过合理定制似然函数，该框架能够构建涵盖随机效用模型、辨识度限制以及多冲突效用场景（面向对象偏好与标签偏好）的偏好学习模型。本教程在既有研究成果基础上，同步提出了若干新型高斯过程模型以填补现有文献中的特定研究空白。