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We introduce two notions of effective reducibility for set-theoretical statements, based on computability with Ordinal Turing Machines (OTMs), one of which resembles Turing reducibility while the other is modelled after Weihrauch…

逻辑 · 数学 2026-05-19 Merlin Carl

This book-length article combines several peer reviewed papers and new material to analyze the issues of ethical artificial intelligence (AI). The behavior of future AI systems can be described by mathematical equations, which are adapted…

人工智能 · 计算机科学 2015-11-18 Bill Hibbard

Algorithmic information theory studies description complexity and randomness and is now a well known field of theoretical computer science and mathematical logic. There are several textbooks and monographs devoted to this theory where one…

信息论 · 计算机科学 2015-04-21 Alexander Shen

Large language models (LLMs) are increasingly employed for decision-support across multiple domains. We investigate whether these models display a systematic preferential bias in favor of artificial intelligence (AI) itself. Across three…

计算与语言 · 计算机科学 2026-01-21 Benaya Trabelsi , Jonathan Shaki , Sarit Kraus

We present a general theory of quantum information processing devices, that can be applied to human decision makers, to atomic multimode registers, or to molecular high-spin registers. Our quantum decision theory is a generalization of the…

量子物理 · 物理学 2009-11-13 V. I. Yukalov , D. Sornette

Trust in AI is undermined by the fact that there is no science that predicts -- or that can explain to the public -- when an LLM's output (e.g. ChatGPT) is likely to tip mid-response to become wrong, misleading, irrelevant or dangerous.…

人工智能 · 计算机科学 2025-04-30 Neil F. Johnson , Frank Yingjie Huo

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…

With Artificial Intelligence systems increasingly applied in consequential domains, researchers have begun to ask how these systems ought to act in ethically charged situations where even humans lack consensus. In the Moral Machine project,…

计算机与社会 · 计算机科学 2023-05-30 Michael Feffer , Hoda Heidari , Zachary C. Lipton

Can general-purpose AI architectures go beyond prediction to discover the physical laws governing the universe? True intelligence relies on "world models" -- causal abstractions that allow an agent to not only predict future states but…

机器学习 · 计算机科学 2026-02-09 Ziming Liu , Sophia Sanborn , Surya Ganguli , Andreas Tolias

Traffic scenarios are inherently interactive. Multiple decision-makers predict the actions of others and choose strategies that maximize their rewards. We view these interactions from the perspective of game theory which introduces various…

机器学习 · 计算机科学 2020-04-28 Christian Muench , Frans A. Oliehoek , Dariu M. Gavrila

When allocating indivisible objects via lottery, planners often use ordinal mechanisms, which elicit agents' rankings of objects rather than their full preferences over lotteries. In such an ordinal informational environment, planners…

理论经济学 · 经济学 2025-08-21 Eun Jeong Heo , Vikram Manjunath , Samson Alva

We study the fair division problem of allocating $m$ indivisible goods to $n$ agents with additive personalized bi-valued utilities. Specifically, each agent $i$ assigns one of two positive values $a_i > b_i > 0$ to each good, indicating…

计算机科学与博弈论 · 计算机科学 2025-10-20 Jiarong Jin , Biaoshuai Tao

Universality is a key hypothesis in mechanistic interpretability -- that different models learn similar features and circuits when trained on similar tasks. In this work, we study the universality hypothesis by examining how small neural…

机器学习 · 计算机科学 2023-05-26 Bilal Chughtai , Lawrence Chan , Neel Nanda

Artificial intelligence (AI) systems in high-stakes domains raise concerns about proxy discrimination, unfairness, and explainability. Existing audits often fail to reveal why unfairness arises, particularly when rooted in structural bias.…

人工智能 · 计算机科学 2025-11-25 Belona Sonna , Alban Grastien

Contemporary global optimization algorithms are based on local measures of utility, rather than a probability measure over location and value of the optimum. They thus attempt to collect low function values, not to learn about the optimum.…

机器学习 · 统计学 2011-12-07 Philipp Hennig , Christian J. Schuler

We propose a novel combinatorial inference framework to conduct general uncertainty quantification in ranking problems. We consider the widely adopted Bradley-Terry-Luce (BTL) model, where each item is assigned a positive preference score…

机器学习 · 统计学 2021-10-04 Yue Liu , Ethan X. Fang , Junwei Lu

Brandenburger, Friedenberg, and Keisler provide an epistemic characterization of iterated admissibility (IA), also known as iterated deletion of weakly dominated strategies, where uncertainty is represented using LPSs (lexicographic…

计算机科学与博弈论 · 计算机科学 2019-07-23 Joseph Y. Halpern , Rafael Pass

This paper argues that Machine Learning (ML) algorithms must be educated. ML-trained algorithms moral decisions are ubiquitous in human society. Sometimes reverting the societal advances governments, NGOs and civil society have achieved…

机器学习 · 计算机科学 2023-05-23 Susana Perez Blazquez , Inas Hipolito

Universal Turing Machines [29, 10, 18] are well known in computer science but they are about manual programming for general purposes. Although human children perform conscious learning (i.e., learning while being conscious) from infancy…

神经元与认知 · 定量生物学 2020-07-02 Juyang Weng

It is often argued that an agent making decisions on behalf of two or more principals who have different utility functions should adopt a {\em Pareto-optimal} policy, i.e., a policy that cannot be improved upon for one agent without making…

人工智能 · 计算机科学 2017-11-02 Andrew Critch , Stuart Russell
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