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Analogical proportions are statements of the form "A is to B as C is to D". They constitute an inference tool that provides a logical framework to address learning, transfer, and explainability concerns and that finds useful applications in…

Computation and Language · Computer Science 2021-11-10 Safa Alsaidi , Amandine Decker , Esteban Marquer , Pierre-Alexandre Murena , Miguel Couceiro

Analogy is core to human cognition. It allows us to solve problems based on prior experience, it governs the way we conceptualize new information, and it even influences our visual perception. The importance of analogy to humans has made it…

Artificial Intelligence · Computer Science 2020-12-16 Maxwell Crouse , Constantine Nakos , Ibrahim Abdelaziz , Kenneth Forbus

Analogical proportions are statements of the form "A is to B as C is to D" that are used for several reasoning and classification tasks in artificial intelligence and natural language processing (NLP). For instance, there are analogy based…

Computation and Language · Computer Science 2021-08-10 Safa Alsaidi , Amandine Decker , Puthineath Lay , Esteban Marquer , Pierre-Alexandre Murena , Miguel Couceiro

Analogical reasoning is the ability to detect parallels between two seemingly distant objects or situations, a fundamental human capacity used for example in commonsense reasoning, learning, and creativity which is believed by many…

Logic in Computer Science · Computer Science 2024-05-24 Christian Antić

Analogy-making is at the core of human and artificial intelligence and creativity with applications to such diverse tasks as proving mathematical theorems and building mathematical theories, common sense reasoning, learning, language…

Logic in Computer Science · Computer Science 2024-01-01 Christian Antić

Learning representations for semantic relations is important for various tasks such as analogy detection, relational search, and relation classification. Although there have been several proposals for learning representations for individual…

Computation and Language · Computer Science 2015-05-04 Danushka Bollegala , Takanori Maehara , Ken-ichi Kawarabayashi

Analogical reasoning has been a principal focus of various waves of AI research. Analogy is particularly challenging for machines because it requires relational structures to be represented such that they can be flexibly applied across…

Artificial Intelligence · Computer Science 2019-02-04 Felix Hill , Adam Santoro , David G. T. Barrett , Ari S. Morcos , Timothy Lillicrap

Analogical reasoning depends fundamentally on the ability to learn and generalize about relations between objects. We develop an approach to relational learning which, given a set of pairs of objects…

Methodology · Statistics 2013-08-30 Ricardo Silva , Katherine Heller , Zoubin Ghahramani , Edoardo M. Airoldi

Attributes of words and relations between two words are central to numerous tasks in Artificial Intelligence such as knowledge representation, similarity measurement, and analogy detection. Often when two words share one or more attributes…

Computation and Language · Computer Science 2014-12-09 Danushka Bollegala , Takanori Maehara , Yuichi Yoshida , Ken-ichi Kawarabayashi

Analogical reasoning is a powerful qualitative reasoning tool that enables humans to connect two situations, and to generalize their knowledge from familiar to novel situations. Cognitive Science research provides valuable insights into the…

Artificial Intelligence · Computer Science 2022-06-28 Thiloshon Nagarajah , Filip Ilievski , Jay Pujara

Analogical proportions are statements expressed in the form "A is to B as C is to D" and are used for several reasoning and classification tasks in artificial intelligence and natural language processing (NLP). In this paper, we focus on…

Computation and Language · Computer Science 2021-08-10 Safa Alsaidi , Amandine Decker , Puthineath Lay , Esteban Marquer , Pierre-Alexandre Murena , Miguel Couceiro

Recognizing analogies, synonyms, antonyms, and associations appear to be four distinct tasks, requiring distinct NLP algorithms. In the past, the four tasks have been treated independently, using a wide variety of algorithms. These four…

Computation and Language · Computer Science 2008-09-02 Peter D. Turney

An analogy is an identification of structural similarities and correspondences between two objects. Computational models of analogy making have been studied extensively in the field of cognitive science to better understand high-level human…

Software Engineering · Computer Science 2020-09-15 Matthew Sotoudeh , Aditya V. Thakur

Principles of analogical reasoning have recently been applied in the context of machine learning, for example to develop new methods for classification and preference learning. In this paper, we argue that, while analogical reasoning is…

Machine Learning · Computer Science 2020-05-27 Eyke Hüllermeier

Analogical proportions are expressions of the form ``$a$ is to $b$ what $c$ is to $d$'' at the core of analogical reasoning, which itself is at the core of artificial intelligence. This paper contributes to the mathematical foundations of…

Artificial Intelligence · Computer Science 2026-04-14 Christian Antić

This paper defines the notion of analogical dissimilarity between four objects, with a special focus on objects structured as sequences. Firstly, it studies the case where the four objects have a null analogical dissimilarity, i.e. are in…

Machine Learning · Computer Science 2014-01-16 Laurent Miclet , Sabri Bayoudh , Arnaud Delhay

Analogy-making gives rise to reasoning, abstraction, flexible categorization and counterfactual inference -- abilities lacking in even the best AI systems today. Much research has suggested that analogies are key to non-brittle systems that…

Computation and Language · Computer Science 2023-01-20 Oren Sultan , Dafna Shahaf

We present an algorithm for learning from unlabeled text, based on the Vector Space Model (VSM) of information retrieval, that can solve verbal analogy questions of the kind found in the Scholastic Aptitude Test (SAT). A verbal analogy has…

Machine Learning · Computer Science 2007-05-23 Peter D. Turney , Michael L. Littman

We present an algorithm for learning from unlabeled text, based on the Vector Space Model (VSM) of information retrieval, that can solve verbal analogy questions of the kind found in the SAT college entrance exam. A verbal analogy has the…

Machine Learning · Computer Science 2007-05-23 Peter D. Turney , Michael L. Littman

Analogical reasoning is a fundamental capacity of human cognition that allows us to reason abstractly about novel situations by relating them to past experiences. While it is thought to be essential for robust reasoning in AI systems,…

Artificial Intelligence · Computer Science 2023-06-06 Xiaoyang Hu , Shane Storks , Richard L. Lewis , Joyce Chai
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