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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

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

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 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

Analogy has been shown to be important in many key cognitive abilities, including learning, problem solving, creativity and language change. For cognitive models of analogy, the fundamental computational question is how its inherent…

Artificial Intelligence · Computer Science 2013-08-12 Mark Keane

Ontologies formalise how the concepts from a given domain are interrelated. Despite their clear potential as a backbone for explainable AI, existing ontologies tend to be highly incomplete, which acts as a significant barrier to their more…

Artificial Intelligence · Computer Science 2021-05-12 Steven Schockaert , Yazmín Ibáñez-García , Víctor Gutiérrez-Basulto

Understanding reasoning in large language models is complicated by evaluations that conflate multiple reasoning types. We isolate analogical reasoning, where a model transfers an attribute between entities that share known properties, and…

Computation and Language · Computer Science 2026-05-26 Ruichen Xu , Wenjing Yan , Ying-Jun Angela Zhang

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

Analogy is one of the core capacities of human cognition; when faced with new situations, we often transfer prior experience from other domains. Most work on computational analogy relies heavily on complex, manually crafted input. In this…

Computation and Language · Computer Science 2023-11-06 Shahar Jacob , Chen Shani , Dafna Shahaf

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

Measuring the similarity between two different sentential arguments is an important task in argument mining. However, one of the challenges in this field is that the dataset must be annotated using expertise in a variety of topics, making…

Computation and Language · Computer Science 2021-02-22 ChaeHun Park , Sangwoo Seo

Quantifying the similarity between datasets has widespread applications in statistics and machine learning. The performance of a predictive model on novel datasets, referred to as generalizability, depends on how similar the training and…

Methodology · Statistics 2025-06-18 Marieke Stolte , Franziska Kappenberg , Jörg Rahnenführer , Andrea Bommert

Computable reducibility is a well-established notion that allows to compare the complexity of various equivalence relations over the natural numbers. We generalize computable reducibility by introducing degree spectra of reducibility and…

Logic · Mathematics 2018-10-09 Ekaterina Fokina , Dino Rossegger , Luca San Mauro

Analogical reasoning is a hallmark of human intelligence, enabling us to solve new problems by transferring knowledge from one situation to another. Yet, developing artificial intelligence systems capable of robust human-like analogical…

Machine Learning · Computer Science 2026-04-09 Philipp Hellwig , Willem Zuidema , Claire E. Stevenson , Martha Lewis

We introduce a conceptually simple and effective method to quantify the similarity between relations in knowledge bases. Specifically, our approach is based on the divergence between the conditional probability distributions over entity…

Artificial Intelligence · Computer Science 2019-07-23 Weize Chen , Hao Zhu , Xu Han , Zhiyuan Liu , Maosong Sun

Building on a specific formalization of analogical relationships of the form "A relates to B as C relates to D", we establish a connection between two important subfields of artificial intelligence, namely analogical reasoning and…

Machine Learning · Computer Science 2019-01-09 Mohsen Ahmadi Fahandar , Eyke Hüllermeier

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

Conceptual abstraction and analogy-making are key abilities underlying humans' abilities to learn, reason, and robustly adapt their knowledge to new domains. Despite of a long history of research on constructing AI systems with these…

Artificial Intelligence · Computer Science 2022-01-19 Melanie Mitchell

We consider transferability estimation, the problem of estimating how well deep learning models transfer from a source to a target task. We focus on regression tasks, which received little previous attention, and propose two simple and…

Machine Learning · Computer Science 2023-12-05 Cuong N. Nguyen , Phong Tran , Lam Si Tung Ho , Vu Dinh , Anh T. Tran , Tal Hassner , Cuong V. Nguyen

Analogical proportions compare pairs of items (a, b) and (c, d) in terms of their differences and similarities. They play a key role in the formalization of analogical inference. The paper first discusses how to improve analogical inference…

Artificial Intelligence · Computer Science 2022-12-23 Myriam Bounhas , Henri Prade , Gilles Richard
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