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The acquisition and performance of arithmetic skills and basic operations such as addition, subtraction, multiplication, and division are essential for daily functioning, and reflect complex cognitive processes. This paper explores the…

Neurons and Cognition · Quantitative Biology 2024-05-09 Cole Gawin

In this survey we review dynamic epistemic logics with modalities for quantification over information change. Of such logics we present complete axiomatizations, focussing on axioms involving the interaction between knowledge and such…

Logic in Computer Science · Computer Science 2023-03-22 Hans van Ditmarsch

To generate accurate and reliable predictions, modern AI systems need to combine data from multiple modalities, such as text, images, audio, spreadsheets, and time series. Multi-modal data introduces new opportunities and challenges for…

Machine Learning · Computer Science 2026-02-10 Arthur Hoarau , Benjamin Quost , Sébastien Destercke , Willem Waegeman

This chapter provides an introduction to some basic concepts of epistemic logic, basic formal languages, their semantics, and proof systems. It also contains an overview of the handbook, and a brief history of epistemic logic and pointers…

Artificial Intelligence · Computer Science 2015-03-04 Hans van Ditmarsch , Joseph Y. Halpern , Wiebe van der Hoek , Barteld Kooi

Deductive and abductive reasoning are two critical paradigms for analyzing knowledge graphs, enabling applications from financial query answering to scientific discovery. Deductive reasoning on knowledge graphs usually involves retrieving…

Artificial Intelligence · Computer Science 2026-02-12 Yisen Gao , Jiaxin Bai , Yi Huang , Xingcheng Fu , Qingyun Sun , Yangqiu Song

A model of knowledge representation is described in which propositional facts and the relationships among them can be supported by other facts. The set of knowledge which can be supported is called the set of cognitive units, each having…

Artificial Intelligence · Computer Science 2013-04-12 A. Julian Craddock , Roger A. Browse

While large language models (LLMs) leverage both knowledge and reasoning during inference, the capacity to distinguish between them plays a pivotal role in model analysis, interpretability, and development. Inspired by dual-system cognitive…

Artificial Intelligence · Computer Science 2025-07-25 Mutian Yang , Jiandong Gao , Ji Wu

Knowledge discovery is key to understand and interpret a dataset, as well as to find the underlying relationships between its components. Unsupervised Cognition is a novel unsupervised learning algorithm that focus on modelling the learned…

Machine Learning · Computer Science 2025-01-29 Alfredo Ibias , Hector Antona , Guillem Ramirez-Miranda , Enric Guinovart

Embedding is a common technique for analyzing multi-dimensional data. However, the embedding projection cannot always form significant and interpretable visual structures that foreshadow underlying data patterns. We propose an approach that…

Human-Computer Interaction · Computer Science 2022-09-26 Jie Li , Chun-qi Zhou

The tension between deduction and induction is perhaps the most fundamental issue in areas such as philosophy, cognition and artificial intelligence. In an influential paper, Valiant recognised that the challenge of learning should be…

Artificial Intelligence · Computer Science 2023-06-12 Ionela G. Mocanu , Vaishak Belle , Brendan Juba

In-Context Learning (ICL) empowers Large Language Models (LLMs) with the ability to learn from a few examples provided in the prompt, enabling downstream generalization without the requirement for gradient updates. Despite encouragingly…

Computation and Language · Computer Science 2025-01-28 Haitao Mao , Guangliang Liu , Yao Ma , Rongrong Wang , Kristen Johnson , Jiliang Tang

People learn whenever and wherever possible, and whatever they like or encounter--Mathematics, Drama, Art, Languages, Physics, Philosophy, and so on. With the bursting of knowledge, evaluation of one's possession of knowledge becomes…

Human-Computer Interaction · Computer Science 2016-12-23 Gangli Liu

This position paper argues that knowledge distillation must account for what it loses: student models should be judged not only by retained task scores, but by whether they preserve the teacher capabilities that make those scores reliable.…

Machine Learning · Computer Science 2026-05-07 Wenshuo Wang

Fuzzy skill multimaps can describe individuals' knowledge states from the perspective of latent cognitive abilities. The significance of discriminative knowledge structure is reducing repeated testing and the workload for students, which…

General Mathematics · Mathematics 2021-12-16 Xiyan Cao , Fucai Lin , Wen Sun , Jinjin Li

Understanding knowledge mechanisms in Large Language Models (LLMs) is crucial for advancing towards trustworthy AGI. This paper reviews knowledge mechanism analysis from a novel taxonomy including knowledge utilization and evolution.…

Computation and Language · Computer Science 2024-12-05 Mengru Wang , Yunzhi Yao , Ziwen Xu , Shuofei Qiao , Shumin Deng , Peng Wang , Xiang Chen , Jia-Chen Gu , Yong Jiang , Pengjun Xie , Fei Huang , Huajun Chen , Ningyu Zhang

Machine unlearning techniques aim to mitigate unintended memorization in large language models (LLMs). However, existing approaches predominantly focus on the explicit removal of isolated facts, often overlooking latent inferential…

While interpretability methods identify a model's learned concepts, they overlook the relationships between concepts that make up its abstractions and inform its ability to generalize to new data. To assess whether models' have learned…

Machine Learning · Computer Science 2025-11-04 Angie Boggust , Hyemin Bang , Hendrik Strobelt , Arvind Satyanarayan

In this paper, we investigate knowledge reasoning within a simple framework called knowledge structure. We use variable forgetting as a basic operation for one agent to reason about its own or other agents\ knowledge. In our framework, two…

Logic in Computer Science · Computer Science 2014-01-16 Kaile Su , Abdul Sattar , Guanfeng Lv , Yan Zhang

The amount of data has exploded over the last ten years. Data is captured and shared from personal devices, transactional operations, sensors, social media and other sources. Firms should, thus, be able to explore the new opportunities and…

Computers and Society · Computer Science 2017-07-27 Mohamed Amine Marhraoui , Abdellah El Manouar

Research in machine learning is at a turning point. While supervised deep learning has conquered the field at a breathtaking pace and demonstrated the ability to solve inference problems with unprecedented accuracy, it still does not quite…

Machine Learning · Computer Science 2020-12-22 Alexander Sagel , Amit Sahu , Stefan Matthes , Holger Pfeifer , Tianming Qiu , Harald Rueß , Hao Shen , Julian Wörmann
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