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Neurosymbolic artificial intelligence is a growing field of research aiming to combine neural network learning capabilities with the reasoning abilities of symbolic systems. Informed multi-label classification is a sub-field of…

Artificial Intelligence · Computer Science 2025-01-24 Arthur Ledaguenel , Céline Hudelot , Mostepha Khouadjia

Algorithmic generalization in machine learning refers to the ability to learn the underlying algorithm that generates data in a way that generalizes out-of-distribution. This is generally considered a difficult task for most machine…

Machine Learning · Computer Science 2024-01-17 Simon Ouellette , Rolf Pfister , Hansueli Jud

Algorithms have been fundamental to recent global technological advances and, in particular, they have been the cornerstone of technical advances in one field rapidly being applied to another. We argue that algorithms possess fundamentally…

Machine Learning · Computer Science 2021-08-09 Petar Veličković , Charles Blundell

Current Artificial Intelligence (AI) methods, most based on deep learning, have facilitated progress in several fields, including computer vision and natural language understanding. The progress of these AI methods is measured using…

Artificial Intelligence · Computer Science 2021-01-19 Stefan Maetschke , David Martinez Iraola , Pieter Barnard , Elaheh ShafieiBavani , Peter Zhong , Ying Xu , Antonio Jimeno Yepes

Quantum computations operate in the quantum world. For their results to be useful in any way, there is an intrinsic necessity of cooperation and communication controlled by the classical world. As a consequence, full formal descriptions of…

Quantum Physics · Physics 2007-05-23 Philippe Jorrand , Marie Lalire

Ensuring safe and effective use of AI requires understanding and anticipating its performance on novel tasks, from advanced scientific challenges to transformed workplace activities. So far, benchmarking has guided progress in AI, but it…

Algorithm fairness has become a central problem for the broad adoption of artificial intelligence. Although the past decade has witnessed an explosion of excellent work studying algorithm biases, achieving fairness in real-world AI…

Machine Learning · Computer Science 2023-09-06 James Enouen , Tianshu Sun , Yan Liu

People solve different problems and know that some of them are simple, some are complex and some insoluble. The main goal of this work is to develop a mathematical theory of algorithmic complexity for problems. This theory is aimed at…

Computational Complexity · Computer Science 2008-07-08 Mark Burgin

In this paper we discuss the basic problems of algorithmic algebraic number theory. The emphasis is on aspects that are of interest from a purely mathematical point of view, and practical issues are largely disregarded. We describe what has…

Number Theory · Mathematics 2008-02-03 Hendrik W. Lenstra

Autoformalization has emerged as a term referring to the automation of formalization - specifically, the formalization of mathematics using interactive theorem provers (proof assistants). Its rapid development has been driven by progress in…

Artificial Intelligence · Computer Science 2025-12-16 Agnieszka Mensfelt , David Tena Cucala , Santiago Franco , Angeliki Koutsoukou-Argyraki , Vince Trencsenyi , Kostas Stathis

Recent studies of the applications of conversational AI tools, such as chatbots powered by large language models, to complex real-world knowledge work have shown limitations related to reasoning and multi-step problem solving. Specifically,…

Artificial Intelligence · Computer Science 2024-03-06 Nova Spivack , Sam Douglas , Michelle Crames , Tim Connors

Since Artificial Intelligence (AI) software uses techniques like deep lookahead search and stochastic optimization of huge neural networks to fit mammoth datasets, it often results in complex behavior that is difficult for people to…

Artificial Intelligence · Computer Science 2018-10-16 Daniel S. Weld , Gagan Bansal

Artificial Intelligence (AI) applications in automation systems are usually distributed systems whose development and integration involve several experts. Each expert uses its own domain-specific modeling language and tools to model the…

Artificial Intelligence · Computer Science 2023-06-22 Marvin Schieseck , Philip Topalis , Alexander Fay

The unification problem in algebras capable of describing sets has been tackled, directly or indirectly, by many researchers and it finds important applications in various research areas--e.g., deductive databases, theorem proving, static…

Logic in Computer Science · Computer Science 2007-05-23 Agostino Dovier , Enrico Pontelli , Gianfranco Rossi

Current artificial intelligence systems exhibit strong performance on narrow tasks, while existing evaluation frameworks provide limited insight into generality across domains. We introduce the Artificial General Intelligence Testbed…

Artificial Intelligence · Computer Science 2026-01-29 Matej Šprogar

Artificial intelligence (AI) has been used in various areas to support system optimization and find solutions where the complexity makes it challenging to use algorithmic and heuristics. Case-based Reasoning (CBR) is an AI technique…

Artificial Intelligence · Computer Science 2020-09-10 Eliseu M. Oliveira , Rafael F. Reale , Joberto S. B. Martins

The integration of knowledge extracted from diverse models, whether described by domain experts or generated by machine learning algorithms, has historically been challenged by the absence of a suitable framework for specifying and…

Artificial Intelligence · Computer Science 2024-04-03 Carlos Leandro

Solving symbolic reasoning problems that require compositionality and systematicity is considered one of the key ingredients of human intelligence. However, symbolic reasoning is still a great challenge for deep learning models, which often…

Neural and Evolutionary Computing · Computer Science 2023-07-03 Flavio Petruzzellis , Alberto Testolin , Alessandro Sperduti

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

Complex robot behaviour typically requires the integration of multiple robotic and Artificial Intelligence (AI) techniques and components. Integrating such disparate components into a coherent system, while also ensuring global properties…

Artificial Intelligence · Computer Science 2023-10-20 Bernhard Hengst , Maurice Pagnucco , David Rajaratnam , Claude Sammut , Michael Thielscher