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E-learning has been continuously present in current educational discourse, thanks to technological advances, learning methodologies and public or organizational policies, among other factors. However, despite its boom and dominance in…

Digital Libraries · Computer Science 2017-10-17 Gerardo Tibaná-Herrera , María Teresa Fernández-Bajón , Félix de Moya-Anegón

This paper introduces and outlines a new integrative field, Ideometrics. It is the systematic science of generating, evaluating, and prioritising ideas, based on the proposed sense of ideas and assigning value to information by the brain.…

Physics and Society · Physics 2025-08-13 Igor Rudan , Aziz Sheikh

A map is an abstract visual representation of a region, taken from a given space, usually designed for final human consumption. Traditional cartography focuses on the mapping of Euclidean spaces by using some distance metric. In this paper…

Digital Libraries · Computer Science 2013-03-26 Valeria Fionda , Claudio Gutierrez , Giuseppe Pirró

Information algebra is algebraic structure for local computation and inference. Given an initial universe set and a parameter set, we show that a soft set system over them is an information algebra. Moreover, in a soft set system, the…

Information Theory · Computer Science 2012-01-17 Xuechong Guan , Yongming Li

In formal epistemology, group knowledge is often modelled as the knowledge that the group would have, if the agents shared all their individual knowledge. However, this interpretation does not account for relations between agents. In this…

Logic in Computer Science · Computer Science 2024-03-28 Christian Cachin , David Lehnherr , Thomas Studer

In this paper we provide a comprehensive introduction to knowledge graphs, which have recently garnered significant attention from both industry and academia in scenarios that require exploiting diverse, dynamic, large-scale collections of…

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 understanding of conceptual knowledge…

Databases · Computer Science 2022-01-14 Gangli Liu

Since there are different ways of axiomatizing and developing a mathematical theory, knowledge about a such a theory may reside in many places and in many forms within a library of formalized mathematics. We introduce the notion of a realm…

Mathematical Software · Computer Science 2014-05-26 Jacques Carette , William M. Farmer , Michael Kohlhase

An epistemic ensemble is composed of knowledge-based agents capable of retrieving and sharing knowledge and beliefs about themselves and their peers. These agents access a global knowledge state and use actions to communicate and cooperate,…

Software Engineering · Computer Science 2024-08-05 Rolf Hennicker , Alexander Knapp , Martin Wirsing

Knowledge representation is a popular research field in IT. As mathematical knowledge is most formalized, its representation is important and interesting. Mathematical knowledge consists of various mathematical theories. In this paper we…

Logic in Computer Science · Computer Science 2016-04-01 Andrey Luxemburg

There are (at least) four ways that an agent can acquire information concerning the state of the universe: via observation, control, prediction, or via retrodiction, i.e., memory. Each of these four ways of acquiring information seems to…

History and Philosophy of Physics · Physics 2018-06-29 David Wolpert

In this work, we demonstrate a novel system, namely Web of Scholars, which integrates state-of-the-art mining techniques to search, mine, and visualize complex networks behind scholars in the field of Computer Science. Relying on the…

Digital Libraries · Computer Science 2022-02-24 Jiaying Liu , Jing Ren , Wenqing Zheng , Lianhua Chi , Ivan Lee , Feng Xia

Knowledge distillation refers to the process of training a compact student network to achieve better accuracy by learning from a high capacity teacher network. Most of the existing knowledge distillation methods direct the student to follow…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Himalaya Jain , Spyros Gidaris , Nikos Komodakis , Patrick Pérez , Matthieu Cord

Knowledge graph (KG) representation learning aims to encode entities and relations into dense continuous vector spaces such that knowledge contained in a dataset could be consistently represented. Dense embeddings trained from KG datasets…

Machine Learning · Computer Science 2022-04-18 Tong Yang , Yifei Wang , Long Sha , Jan Engelbrecht , Pengyu Hong

This systematic mapping study consisted of tracking the scientific literature that addresses the issue of analogies as a didactic strategy in science teaching. An analogy can be understood as comparing an existing knowledge with a new…

Physics Education · Physics 2021-08-03 Pedro Hernandez , Edinson Espitia

The rise of human-information systems, cybernetic systems, and increasingly autonomous systems requires the application of epistemic frameworks to machines and human-machine teams. This chapter discusses higher-order design principles to…

Human-Computer Interaction · Computer Science 2021-10-26 Susannah Kate Devitt

We present a type of epistemic logics that encapsulates both the dynamics of acquiring knowledge (knowing) and losing information (forgetting), alongside the integration of group knowledge concepts. Our approach is underpinned by a system…

Logic in Computer Science · Computer Science 2024-10-31 Xiaolong Liang , Yì N. Wáng

In this paper we study the notion of knowledge from the positions of universal algebra and algebraic logic. We consider first order knowledge which is based on first order logic. We define categories of knowledge and knowledge bases. These…

General Mathematics · Mathematics 2007-05-23 B. Plotkin , T. Plotkin

The ideas of aleatoric and epistemic uncertainty are widely used to reason about the probabilistic predictions of machine-learning models. We identify incoherence in existing discussions of these ideas and suggest this stems from the…

Machine Learning · Computer Science 2025-08-19 Freddie Bickford Smith , Jannik Kossen , Eleanor Trollope , Mark van der Wilk , Adam Foster , Tom Rainforth

Scientific research's mandate is to comprehend and explore the world, as well as to improve it based on experience and knowledge. Knowledge embedding and knowledge discovery are two significant methods of integrating knowledge and data.…

Artificial Intelligence · Computer Science 2022-04-12 Yuntian Chen , Dongxiao Zhang