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The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points and concepts are represented by regions in a (potentially) high-dimensional space. Based on our…

Artificial Intelligence · Computer Science 2018-04-25 Lucas Bechberger , Kai-Uwe Kühnberger

Conceptual spaces are geometric representations of conceptual knowledge, in which entities correspond to points, natural properties correspond to convex regions, and the dimensions of the space correspond to salient features. While…

Artificial Intelligence · Computer Science 2017-10-26 Shoaib Jameel , Steven Schockaert

The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points in a high-dimensional space and concepts are represented by convex regions in this space. After…

Artificial Intelligence · Computer Science 2017-09-22 Lucas Bechberger , Kai-Uwe Kühnberger

The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points in a high-dimensional space and concepts are represented by regions in this space. Our recent…

Artificial Intelligence · Computer Science 2017-12-08 Lucas Bechberger , Kai-Uwe Kühnberger

The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points in a high-dimensional space and concepts are represented by regions in this space. In this…

Artificial Intelligence · Computer Science 2018-11-15 Lucas Bechberger , Kai-Uwe Kühnberger

The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points in a similarity space and concepts are represented by convex regions in this space. After pointing…

Artificial Intelligence · Computer Science 2019-07-02 Lucas Bechberger , Kai-Uwe Kühnberger

Effective human-robot interaction, such as in robot learning from human demonstration, requires the learning agent to be able to ground abstract concepts (such as those contained within instructions) in a corresponding high-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2018-10-03 Yordan Hristov , Alex Lascarides , Subramanian Ramamoorthy

Traditional neural embeddings represent concepts as points, excelling at similarity but struggling with higher-level reasoning and asymmetric relationships. We introduce a novel paradigm: embedding concepts as linear subspaces. This…

Machine Learning · Computer Science 2025-08-26 Gabriel Moreira , Zita Marinho , Manuel Marques , João Paulo Costeira , Chenyan Xiong

The cognitive framework of conceptual spaces bridges the gap between symbolic and subsymbolic AI by proposing an intermediate conceptual layer where knowledge is represented geometrically. There are two main approaches for obtaining the…

Machine Learning · Computer Science 2019-08-08 Lucas Bechberger , Elektra Kypridemou

The present paper reviews and discusses work from computer science that proposes to identify concepts in internal representations (hidden layers) of DNNs. It is examined, first, how existing methods actually identify concepts that are…

Machine Learning · Computer Science 2023-11-06 Tim Räz

Several recently proposed methods aim to learn conceptual space representations from large text collections. These learned representations asso- ciate each object from a given domain of interest with a point in a high-dimensional Euclidean…

Artificial Intelligence · Computer Science 2018-05-07 Zied Bouraoui , Steven Schockaert

Concept discovery is one of the open problems in the interpretability literature that is important for bridging the gap between non-deep learning experts and model end-users. Among current formulations, concepts defines them by as a…

Machine Learning · Computer Science 2022-02-11 Adrianna Janik , Kris Sankaran

Language grounding is an active field aiming at enriching textual representations with visual information. Generally, textual and visual elements are embedded in the same representation space, which implicitly assumes a one-to-one…

Computation and Language · Computer Science 2020-02-10 Patrick Bordes , Eloi Zablocki , Laure Soulier , Benjamin Piwowarski , Patrick Gallinari

Shape information is crucial for human perception and cognition, and should therefore also play a role in cognitive AI systems. We employ the interdisciplinary framework of conceptual spaces, which proposes a geometric representation of…

Machine Learning · Computer Science 2021-11-17 Lucas Bechberger , Kai-Uwe Kühnberger

In this paper, we address the challenging problem of 3D concept grounding (i.e. segmenting and learning visual concepts) by looking at RGBD images and reasoning about paired questions and answers. Existing visual reasoning approaches…

Computer Vision and Pattern Recognition · Computer Science 2022-07-14 Yining Hong , Yilun Du , Chunru Lin , Joshua B. Tenenbaum , Chuang Gan

One of the main methods for computational interpretation of a text is mapping it into a vector in some embedding space. Such vectors can then be used for a variety of textual processing tasks. Recently, most embedding spaces are a product…

Computation and Language · Computer Science 2023-11-10 Adi Simhi , Shaul Markovitch

A central question in cognitive science is whether conceptual representations converge onto a shared manifold to support generalization, or diverge into orthogonal subspaces to minimize task interference. While prior work has discovered…

Computation and Language · Computer Science 2026-02-09 Zhimin Hu , Lanhao Niu , Sashank Varma

Cognitive processes are realized across an extraordinary range of natural, artificial, and hybrid systems, yet there is no unified framework for comparing their forms, limits, and unrealized possibilities. Here, we propose a cognition space…

Neurons and Cognition · Quantitative Biology 2026-01-21 Ricard Solé , Luis F Seoane , Jordi Pla-Mauri , Michael Timothy Bennett , Michael E. Hochberg , Michael Levin

Understanding the core dimensions of conceptual semantics is fundamental to uncovering how meaning is organized in language and the brain. Existing approaches often rely on predefined semantic dimensions that offer only broad…

Computation and Language · Computer Science 2025-09-22 Yunhao Zhang , Shaonan Wang , Nan Lin , Xinyi Dong , Chong Li , Chengqing Zong

Learning visual concepts from raw images without strong supervision is a challenging task. In this work, we show the advantages of prototype representations for understanding and revising the latent space of neural concept learners. For…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Wolfgang Stammer , Marius Memmel , Patrick Schramowski , Kristian Kersting
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