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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

Abductive Learning (ABL) integrates machine learning with logical reasoning in a loop: a learning model predicts symbolic concept labels from raw inputs, which are revised through abduction using domain knowledge and then fed back for…

Machine Learning · Computer Science 2025-10-31 Wen-Chao Hu , Qi-Jie Li , Lin-Han Jia , Cunjing Ge , Yu-Feng Li , Yuan Jiang , Zhi-Hua Zhou

Causal induction, i.e., identifying unobservable mechanisms that lead to the observable relations among variables, has played a pivotal role in modern scientific discovery, especially in scenarios with only sparse and limited data. Humans,…

Computer Vision and Pattern Recognition · Computer Science 2021-03-29 Chi Zhang , Baoxiong Jia , Mark Edmonds , Song-Chun Zhu , Yixin Zhu

Data scientists and statisticians are often at odds when determining the best approach, machine learning or statistical modeling, to solve an analytics challenge. However, machine learning and statistical modeling are more cousins than…

Machine Learning · Computer Science 2022-01-10 Michele Bennett , Karin Hayes , Ewa J. Kleczyk , Rajesh Mehta

This paper introduces the Adaptive Base Representation (ABR) Theorem and proposes a novel number system that offers a structured alternative to the binary number system for digital computers. The ABR number system enables each decimal…

Information Theory · Computer Science 2025-10-20 Ravin Kumar

Large language models (LLMs) are increasingly used in domains where causal reasoning matters, yet it remains unclear whether their judgments reflect normative causal computation, human-like shortcuts, or brittle pattern matching. We…

Artificial Intelligence · Computer Science 2026-03-16 Hanna M. Dettki , Charley M. Wu , Bob Rehder

Causal representation learning (CRL) and traditional representation learning have largely developed along different trajectories. Traditional representation learning has been driven mainly by applications and empirical objectives, whereas…

Machine Learning · Computer Science 2026-05-21 Yan Li , Yuewen Sun , Shaoan Xie , Gongxu Luo , Yunlong Deng , Kun Zhang , Guangyi Chen

We introduce Slot Attention Argumentation for Case-Based Reasoning (SAA-CBR), a novel neuro-symbolic pipeline for image classification that integrates object-centric learning via a neural Slot Attention (SA) component with symbolic…

Artificial Intelligence · Computer Science 2025-10-02 Gabriel de Olim Gaul , Adam Gould , Avinash Kori , Francesca Toni

Abstract Visual Reasoning (AVR) problems are commonly used to approximate human intelligence. They test the ability of applying previously gained knowledge, experience and skills in a completely new setting, which makes them particularly…

Artificial Intelligence · Computer Science 2023-02-27 Mikołaj Małkiński , Jacek Mańdziuk

When dealing with multi-class classification problems, it is common practice to build a model consisting of a series of binary classifiers using a learning paradigm which dictates how the classifiers are built and combined to discriminate…

Machine Learning · Computer Science 2021-01-06 Daniel Cauchi , Adrian Muscat

Scaling inference-time computation has substantially improved the reasoning capabilities of language models. However, existing methods have significant limitations: serialized chain-of-thought approaches generate overly long outputs,…

Artificial Intelligence · Computer Science 2025-08-19 Jiayi Pan , Xiuyu Li , Long Lian , Charlie Snell , Yifei Zhou , Adam Yala , Trevor Darrell , Kurt Keutzer , Alane Suhr

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

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

The ability to recognize analogies is fundamental to human cognition. Existing benchmarks to test word analogy do not reveal the underneath process of analogical reasoning of neural models. Holding the belief that models capable of…

Computation and Language · Computer Science 2022-10-27 Jiangjie Chen , Rui Xu , Ziquan Fu , Wei Shi , Zhongqiao Li , Xinbo Zhang , Changzhi Sun , Lei Li , Yanghua Xiao , Hao Zhou

While visual reasoning for simple analogies has received significant attention, compositional visual relations (CVR) remain relatively unexplored due to their greater complexity. To solve CVR tasks, we propose Predictive Reasoning with…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Chengtai Li , Yuting He , Jianfeng Ren , Ruibin Bai , Yitian Zhao , Heng Yu , Xudong Jiang

Learning physics requires understanding the applicability of fundamental principles in a variety of contexts that share deep features. One way to help students learn physics is via analogical reasoning. Students can be taught to make an…

Physics Education · Physics 2016-02-23 Shih-Yin Lin , Chandralekha Singh

Many logic programming based approaches can be used to describe and solve combinatorial search problems. On the one hand there are definite programs and constraint logic programs that compute a solution as an answer substitution to a query…

Logic in Computer Science · Computer Science 2007-05-23 Nikolay Pelov , Emmanuel De Mot , Maurice Bruynooghe

Case-based reasoning (CBR) based on description logics (DLs) has gained a lot of attention lately. Adaptation is a basic task in the CBR inference that can be modeled as the knowledge base revision problem and solved in propositional logic.…

Artificial Intelligence · Computer Science 2014-05-19 Liang Chang , Uli Sattler , Tianlong Gu

The ease and speed of spreading misinformation and propaganda on the Web motivate the need to develop trustworthy technology for detecting fallacies in natural language arguments. However, state-of-the-art language modeling methods exhibit…

Artificial Intelligence · Computer Science 2023-05-19 Zhivar Sourati , Filip Ilievski , Hông-Ân Sandlin , Alain Mermoud

Large language models (LLMs) have transformed natural language processing (NLP), enabling diverse applications by integrating large-scale pre-trained knowledge. However, their static knowledge limits dynamic reasoning over external…

Computation and Language · Computer Science 2025-09-26 Harshad Khadilkar , Abhay Gupta
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