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We axiomatize the Choquet rank-dependent utility model within a Savage framework with an exogenous source of pure risk. This model is a decision model under ambiguity, serving as a conceptual generalization of the Choquet expected utility…

理论经济学 · 经济学 2025-11-11 Zachary Van Oosten , Ruodu Wang

Uncertainty is a key feature of any machine learning model and is particularly important in neural networks, which tend to be overconfident. This overconfidence is worrying under distribution shifts, where the model performance silently…

机器学习 · 计算机科学 2024-03-18 Arthur Thuy , Dries F. Benoit

This paper axiomatizes, in a two-stage setup, a new theory for decision under risk and ambiguity. The axiomatized preference relation $\succeq$ on the space $\tilde{V}$ of random variables induces an ambiguity index $c$ on the space…

最优化与控制 · 数学 2026-03-24 Roger J. A. Laeven , Mitja Stadje

We present an alternative methodology for the analysis of algorithms, based on the concept of expected discounted reward. This methodology naturally handles algorithms that do not always terminate, so it can (theoretically) be used with…

人工智能 · 计算机科学 2017-08-08 Andrew MacFie

Every major AI memory system in production today organises information by meaning. That organisation enables generalisation, analogy, and conceptual retrieval -- but it comes at a price. We prove that the same geometric structure enabling…

人工智能 · 计算机科学 2026-03-31 Sambartha Ray Barman , Andrey Starenky , Sofia Bodnar , Nikhil Narasimhan , Ashwin Gopinath

Decision theory has become widely accepted in the AI community as a useful framework for planning and decision making. Applying the framework typically requires elicitation of some form of probability and utility information. While much…

人工智能 · 计算机科学 2013-02-08 Vu A. Ha , Peter Haddawy

Reinforcement learning systems are often concerned with balancing exploration of untested actions against exploitation of actions that are known to be good. The benefit of exploration can be estimated using the classical notion of Value of…

人工智能 · 计算机科学 2013-01-30 Richard Dearden , Nir Friedman , David Andre

In real data, missing values occur frequently, which affects the interpretation with interpretable machine learning (IML) methods. Recent work considers bias and shows that model explanations may differ between imputation methods, while…

机器学习 · 统计学 2025-12-22 Pegah Golchian , Marvin N. Wright

We examine a problem of demand for insurance indemnification, when the insured is sensitive to ambiguity and behaves according to the Maxmin-Expected Utility model of Gilboa and Schmeidler (1989), whereas the insurer is a (risk-averse or…

风险管理 · 定量金融 2020-10-16 Corina Birghila , Tim J. Boonen , Mario Ghossoub

In many risk-aware and multi-objective reinforcement learning settings, the utility of the user is derived from the single execution of a policy. In these settings, making decisions based on the average future returns is not suitable. For…

机器学习 · 计算机科学 2021-02-03 Conor F. Hayes , Mathieu Reymond , Diederik M. Roijers , Enda Howley , Patrick Mannion

We study the design of efficient mechanisms under asymmetric awareness and information. Unawareness refers to the lack of conception rather than the lack of information. Assuming quasi-linear utilities and private values, we show that we…

理论经济学 · 经济学 2025-04-08 Kym Pram , Burkhard C. Schipper

We study the design of mechanisms under asymmetric awareness and information. While the mechanism designer cannot necessarily commit to a particular social choice function in the face of unawareness, she can at least commit to properties of…

计算机科学与博弈论 · 计算机科学 2025-12-01 Kym Pram , Burkhard C. Schipper

Expected Utility: Algebraic Expected Utility In this paper, we provide two axiomatizations of algebraic expected utility, which is a particular generalized expected utility, in a von Neumann-Morgenstern setting, i.e. uncertainty…

人工智能 · 计算机科学 2012-07-02 Paul Weng

Data attribution has become an important component of pricing, auditing, and governance in machine learning pipelines, yet most attribution methods implicitly assume that attribution values faithfully reflect participants' contributions. We…

机器学习 · 计算机科学 2026-05-18 Xian Gao , Bo Hui , Min-Te Sun , Wei-Shinn Ku

The main goal of this paper is to describe an axiomatic utility theory for Dempster-Shafer belief function lotteries. The axiomatic framework used is analogous to von Neumann-Morgenstern's utility theory for probabilistic lotteries as…

人工智能 · 计算机科学 2020-07-16 Thierry Denoeux , Prakash P. Shenoy

Explainable artificial intelligence (XAI) aims to help human decision-makers in understanding complex machine learning (ML) models. One of the hallmarks of XAI are measures of relative feature importance, which are theoretically justified…

人工智能 · 计算机科学 2024-02-12 Joao Marques-Silva , Xuanxiang Huang

Artificial intelligence (AI) is increasingly used to support prognosis in Alzheimer's disease (AD), but adoption remains limited due to a lack of transparency and interpretability, particularly for long-term predictions where uncertainty is…

人机交互 · 计算机科学 2026-02-03 Jonatan Reyes , Mina Massoumi , Anil Ufuk Batmaz , Marta Kersten-Oertel

The ideas of aleatoric and epistemic uncertainty are widely used to reason about the probabilistic predictions of machine-learning models. We identify incoherence in existing discussions of these ideas and suggest this stems from the…

A fundamental challenge in developing general learning algorithms is their tendency to forget past knowledge when adapting to new data. Addressing this problem requires a principled understanding of forgetting; yet, despite decades of…

机器学习 · 计算机科学 2026-02-03 Ben Sanati , Thomas L. Lee , Trevor McInroe , Aidan Scannell , Nikolay Malkin , David Abel , Amos Storkey

The rapid development in data collecting devices and computation platforms produces an emerging number of agents, each equipped with a unique data modality over a particular population of subjects. While the predictive performance of an…

机器学习 · 计算机科学 2020-10-22 Jiaying Zhou , Xun Xian , Na Li , Jie Ding