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This paper sets out to resolve how agents ought to act in the Sleeping Beauty problem and various related anthropic (self-locating belief) problems, not through the calculation of anthropic probabilities, but through finding the correct…

Data Analysis, Statistics and Probability · Physics 2017-09-21 Stuart Armstrong

This paper presents two concrete applications of Artificial Intelligence to algorithmic and analytic number theory. Recent benchmarks of large language models have mainly focused on general mathematics problems and the currently infeasible…

Number Theory · Mathematics 2026-05-12 Ali Saraeb

We describe a representation and a set of inference methods that combine logic programming techniques with probabilistic network representations for uncertainty (influence diagrams). The techniques emphasize the dynamic construction and…

Artificial Intelligence · Computer Science 2013-04-11 John S. Breese , Edison Tse

A variety of problems in distributed control involve a networked system of autonomous agents cooperating to carry out some complex task in a decentralized fashion, e.g., orienting a flock of drones, or aggregating data from a network of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-01 Bernadette Charron-Bost , Patrick Lambein-Monette

The lack of explainability of a decision from an Artificial Intelligence (AI) based "black box" system/model, despite its superiority in many real-world applications, is a key stumbling block for adopting AI in many high stakes applications…

Artificial Intelligence · Computer Science 2021-01-26 Sheikh Rabiul Islam , William Eberle , Sheikh Khaled Ghafoor , Mohiuddin Ahmed

When robots share the same workspace with other intelligent agents (e.g., other robots or humans), they must be able to reason about the behaviors of their neighboring agents while accomplishing the designated tasks. In practice,…

Robotics · Computer Science 2022-10-18 Junhong Xu , Durgakant Pushp , Kai Yin , Lantao Liu

Currently, potential threats of artificial intelligence (AI) to human have triggered a large controversy in society, behind which, the nature of the issue is whether the artificial intelligence (AI) system can be evaluated quantitatively.…

Artificial Intelligence · Computer Science 2015-12-04 Feng Liu , Yong Shi

Modeling the purposeful behavior of imperfect agents from a small number of observations is a challenging task. When restricted to the single-agent decision-theoretic setting, inverse optimal control techniques assume that observed behavior…

Computer Science and Game Theory · Computer Science 2013-08-19 Kevin Waugh , Brian D. Ziebart , J. Andrew Bagnell

There are many examples of human decision making which cannot be modeled by classical probabilistic and logic models, on which the current AI systems are based. Hence the need for a modeling framework which can enable intelligent systems to…

Artificial Intelligence · Computer Science 2018-08-15 Sagar Uprety , Dawei Song

Artificial Expert Intelligence (AEI) seeks to transcend the limitations of both Artificial General Intelligence (AGI) and narrow AI by integrating domain-specific expertise with critical, precise reasoning capabilities akin to those of top…

Artificial Intelligence · Computer Science 2024-12-04 Shai Shalev-Shwartz , Amnon Shashua , Gal Beniamini , Yoav Levine , Or Sharir , Noam Wies , Ido Ben-Shaul , Tomer Nussbaum , Shir Granot Peled

The rise of artificial intelligence (A.I.) based systems is already offering substantial benefits to the society as a whole. However, these systems may also enclose potential conflicts and unintended consequences. Notably, people will tend…

Computers and Society · Computer Science 2020-12-23 Pedro Fernandes , Francisco C. Santos , Manuel Lopes

The advent of Generative Artificial Intelligence (GAI) has heralded an inflection point that changed how society thinks about knowledge acquisition. While GAI cannot be fully trusted for decision-making, it may still provide valuable…

Methodology · Statistics 2025-05-20 Sean O'Hagan , Veronika Ročková

When should we delegate decisions to AI systems? While the value alignment literature has developed techniques for shaping AI values, less attention has been paid to how to determine, under uncertainty, when imperfect alignment is good…

Artificial Intelligence · Computer Science 2025-12-23 Daniel A. Herrmann , Abinav Chari , Isabelle Qian , Sree Sharvesh , B. A. Levinstein

Embodied AI requires agents that perceive, act, and anticipate how actions reshape future world states. World models serve as internal simulators that capture environment dynamics, enabling forward and counterfactual rollouts to support…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Xinqing Li , Xin He , Le Zhang , Min Wu , Xiaoli Li , Yun Liu

AI systems increasingly assist human decision making by producing preliminary assessments of complex inputs. However, such AI-generated assessments can often be noisy or systematically biased, raising a central question: how should costly…

Machine Learning · Statistics 2026-03-17 Lezhi Tan , Naomi Sagan , Lihua Lei , Jose Blanchet

This paper presents formulae that can solve various seemingly hopeless philosophical conundrums. We discuss the simulation argument, teleportation, mind-uploading, the rationality of utilitarianism, and the ethics of exploiting artificial…

Artificial Intelligence · Computer Science 2017-01-06 Gabriel Leuenberger

The unprecedented performance of machine learning models in recent years, particularly Deep Learning and transformer models, has resulted in their application in various domains such as finance, healthcare, and education. However, the…

Human-Computer Interaction · Computer Science 2023-12-20 Milad Rogha

Automated Theorem Proving (ATP) deals with the development of computer programs being able to show that some conjectures (queries) are a logical consequence of a set of axioms (facts and rules). There exists several successful ATPs where…

Computation and Language · Computer Science 2021-09-20 Gabriele Picco , Hoang Thanh Lam , Marco Luca Sbodio , Vanessa Lopez Garcia

In this paper we present a discussion of the basic aspects of the well-known problem of prediction and inference in physics, with specific attention to the role of models, the use of data and the application of recent developments in…

General Physics · Physics 2024-10-07 Luca Gammaitoni , Angelo Vulpiani

We consider a sequence of repeated interactions between an agent and an environment. Uncertainty about the environment is captured by a probability distribution over a space of hypotheses, which includes all computable functions. Given a…

Artificial Intelligence · Computer Science 2009-12-02 Peter de Blanc