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This paper explores the relationship of artificial intelligence to the task of resolving open questions in mathematics. We first present an updated version of a traditional argument that limitative results from computability and complexity…

History and Overview · Mathematics 2024-08-08 Walter Dean , Alberto Naibo

We propose a general approach to quantitatively assessing the risk and vulnerability of artificial intelligence (AI) systems to biased decisions. The guiding principle of the proposed approach is that any AI algorithm must outperform a…

Computers and Society · Computer Science 2024-08-13 Shun Ide , Allison Blunt , Djallel Bouneffouf

The symbolism, connectionism and behaviorism approaches of artificial intelligence have achieved a lot of successes in various tasks, while we still do not have a clear definition of "intelligence" with enough consensus in the community…

Artificial Intelligence · Computer Science 2022-06-23 Yutao Yue

For machine agents to successfully interact with humans in real-world settings, they will need to develop an understanding of human mental life. Intuitive psychology, the ability to reason about hidden mental variables that drive observable…

High-level reasoning can be defined as the capability to generalize over knowledge acquired via experience, and to exhibit robust behavior in novel situations. Such form of reasoning is a basic skill in humans, who seamlessly use it in a…

Artificial Intelligence · Computer Science 2023-11-15 Alessandro Oltramari

The notion of equality (identity) is simple and ubiquitous, making it a key case study for broader questions about the representations supporting abstract relational reasoning. Previous work suggested that neural networks were not suitable…

Machine Learning · Computer Science 2022-05-03 Atticus Geiger , Alexandra Carstensen , Michael C. Frank , Christopher Potts

Models of computation operating over the real numbers and computing a larger class of functions compared to the class of general recursive functions invariably introduce a non-finite element of infinite information encoded in an arbitrary…

Computational Complexity · Computer Science 2010-12-20 Hector Zenil

AI technology has a long history which is actively and constantly changing and growing. It focuses on intelligent agents, which contain devices that perceive the environment and based on which takes actions in order to maximize goal success…

Artificial Intelligence · Computer Science 2018-04-05 Jahanzaib Shabbir , Tarique Anwer

So far, following the works of A.M. Turing, the algorithms were considered as the mathematical abstraction from which we could write programs for computers whose principle was based on the theoretical concept of Turing machine. We start…

Computational Complexity · Computer Science 2013-04-23 Marc Bui , Michel Lamure , Ivan Lavallee

What is appropriateness? Humans navigate a multi-scale mosaic of interlocking notions of what is appropriate for different situations. We act one way with our friends, another with our family, and yet another in the office. Likewise for AI,…

Large Language Models (LLMs) have achieved remarkable results on a range of standardized tests originally designed to assess human cognitive and psychological traits, such as intelligence and personality. While these results are often…

Machine Learning · Computer Science 2026-05-12 Tom Sühr , Florian E. Dorner , Olawale Salaudeen , Augustin Kelava , Samira Samadi

The project of aligning machine behavior with human values raises a basic problem: whose moral expectations should guide AI decision-making? Much alignment research assumes that the appropriate benchmark is how humans themselves would act…

Computers and Society · Computer Science 2026-05-13 Benjamin Minhao Chen , Xinyu Xie

This paper proposes a statistical framework of using artificial intelligence to improve human decision making. The performance of each human decision maker is benchmarked against that of machine predictions. We replace the diagnoses made by…

Econometrics · Economics 2024-12-10 Kai Feng , Han Hong , Ke Tang , Jingyuan Wang

Anthropic reasoning is a critical tool to understand probabilities, especially in a large universe or multiverse. According to anthropic reasoning, we should consider ourselves typical among members of a reference class that must include…

History and Philosophy of Physics · Physics 2013-04-10 Mike D. Schneider , Ken D. Olum

Value learning is a crucial aspect of safe and ethical AI. This is primarily pursued by methods inferring human values from behaviour. However, humans care about much more than we are able to demonstrate through our actions. Consequently,…

Artificial Intelligence · Computer Science 2025-05-28 Paul de Font-Reaulx

Recent advancements of large language models (LLMs) have led to claims of AI surpassing humans in natural language processing (NLP) tasks such as textual understanding and reasoning. This work investigates these assertions by introducing…

Computation and Language · Computer Science 2024-10-10 Maharshi Gor , Hal Daumé , Tianyi Zhou , Jordan Boyd-Graber

We introduce the Consistent Reasoning Paradox (CRP). Consistent reasoning, which lies at the core of human intelligence, is the ability to handle tasks that are equivalent, yet described by different sentences ('Tell me the time!' and 'What…

Artificial Intelligence · Computer Science 2024-08-06 Alexander Bastounis , Paolo Campodonico , Mihaela van der Schaar , Ben Adcock , Anders C. Hansen

A central problem in cognitive science and behavioural neuroscience as well as in machine learning and artificial intelligence research is to ascertain whether two or more decision makers (be they brains or algorithms) use the same…

Computer Vision and Pattern Recognition · Computer Science 2020-12-21 Robert Geirhos , Kristof Meding , Felix A. Wichmann

A knowledge system S describing a part of real world does in general not contain complete information. Reasoning with incomplete information is prone to errors since any belief derived from S may be false in the present state of the world.…

Artificial Intelligence · Computer Science 2011-05-20 Eliezer L. Lozinskii

A/B-tests are a cornerstone of experimental design on the web, with wide-ranging applications and use-cases. The statistical $t$-test comparing differences in means is the most commonly used method for assessing treatment effects, often…

Methodology · Statistics 2025-02-25 Olivier Jeunen
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