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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

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

Multidimensional scaling (MDS) is the act of embedding proximity information about a set of $n$ objects in $d$-dimensional Euclidean space. As originally conceived by the psychometric community, MDS was concerned with embedding a fixed set…

Machine Learning · Statistics 2024-12-12 Michael W. Trosset , Carey E. Priebe

Neuroscience theory posits that the brain's visual system coarsely identifies broad object categories via neural activation patterns, with similar objects producing similar neural responses. Artificial neural networks also have internal…

Computer Vision and Pattern Recognition · Computer Science 2018-11-28 Nathaniel Blanchard , Jeffery Kinnison , Brandon RichardWebster , Pouya Bashivan , Walter J. Scheirer

Humans can effortlessly describe what they see, yet establishing a shared representational format between vision and language remains a significant challenge. Emerging evidence suggests that human brain representations in both vision and…

Neurons and Cognition · Quantitative Biology 2025-07-30 Katerina Marie Simkova , Adrien Doerig , Clayton Hickey , Ian Charest

In general, objects can be distinguished on the basis of their features, such as color or shape. In particular, it is assumed that similarity judgments about such features can be processed independently in different metric spaces. However,…

Machine Learning · Computer Science 2025-02-13 Yoshiyuki Ohmura , Wataru Shimaya , Yasuo Kuniyoshi

What representation do deep neural networks learn? How similar are images to each other for neural networks? Despite the overwhelming success of deep learning methods key questions about their internal workings still remain largely…

Computer Vision and Pattern Recognition · Computer Science 2024-10-31 Tassilo Wald , Constantin Ulrich , Gregor Köhler , David Zimmerer , Stefan Denner , Michael Baumgartner , Fabian Isensee , Priyank Jaini , Klaus H. Maier-Hein

The human brain distinguishes speech sounds by mapping acoustic signals into a latent perceptual space. This space can be estimated via multidimensional scaling (MDS), preserving the similarity structure in lower dimensions. However,…

Methodology · Statistics 2025-07-29 Giovanni Rebaudo , Fernando Llanos , Bharath Chandrasekaran , Abhra Sarkar

This paper reports on the state-of-the-art in application of multidimensional scaling (MDS) techniques to create semantic maps in linguistic research. MDS refers to a statistical technique that represents objects (lexical items, linguistic…

Computation and Language · Computer Science 2022-01-11 Martijn van der Klis , Jos Tellings

Understanding the operation of biological and artificial networks remains a difficult and important challenge. To identify general principles, researchers are increasingly interested in surveying large collections of networks that are…

Machine Learning · Statistics 2022-01-14 Alex H. Williams , Erin Kunz , Simon Kornblith , Scott W. Linderman

Quantifying similarity between neural representations -- e.g. hidden layer activation vectors -- is a perennial problem in deep learning and neuroscience research. Existing methods compare deterministic responses (e.g. artificial networks…

Machine Learning · Computer Science 2023-02-07 Lyndon R. Duong , Jingyang Zhou , Josue Nassar , Jules Berman , Jeroen Olieslagers , Alex H. Williams

Multidimensional scaling (MDS) is a family of methods that embed a given set of points into a simple, usually flat, domain. The points are assumed to be sampled from some metric space, and the mapping attempts to preserve the distances…

Computational Geometry · Computer Science 2014-03-05 Yonathan Aflalo , Anastasia Dubrovina , Ron Kimmel

As subjects perceive the sensory world, different stimuli elicit a number of neural representations. Here, a subjective distance between stimuli is defined, measuring the degree of similarity between the underlying representations. As an…

Neurons and Cognition · Quantitative Biology 2007-05-23 D. Oliva , I. Samengo , S. Leutgeb , S. Mizumori

We propose a method that allows for a rigorous statistical analysis of neural responses to natural stimuli which are non-Gaussian and exhibit strong correlations. We have in mind a model in which neurons are selective for a small number of…

Biological Physics · Physics 2007-05-23 Tatyana Sharpee , Nicole C. Rust , William Bialek

Deep-feature-based perceptual similarity models have demonstrated strong alignment with human visual perception in Image Quality Assessment (IQA). However, most existing approaches operate at a single spatial scale, implicitly assuming that…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Danling Kang , Xue-Hua Chen , Bin Liu , Keke Zhang , Weiling Chen , Tiesong Zhao

We propose a method that would allow for a rigorous statistical analysis of neural responses to natural stimuli, which are non-Gaussian and exhibit strong correlations. We have in mind a model in which neurons are selective for a small…

Biological Physics · Physics 2007-05-23 Tatyana Sharpee , Nicole C. Rust , William Bialek

An autoassociative memory model is a function that, given a set of data points, takes as input an arbitrary vector and outputs the most similar data point from the memorized set. However, popular memory models fail to retrieve images even…

Machine Learning · Computer Science 2024-02-19 Tommaso Salvatori , Beren Millidge , Yuhang Song , Rafal Bogacz , Thomas Lukasiewicz

Representational similarity analysis (RSA) has been shown to be an effective framework to characterize brain-activity profiles and deep neural network activations as representational geometry by computing the pairwise distances of the…

Neurons and Cognition · Quantitative Biology 2019-07-30 Baihan Lin , Marieke Mur , Tim Kietzmann , Nikolaus Kriegeskorte

Measuring visual similarity between two or more instances within a data distribution is a fundamental task in image retrieval. Theoretically, non-metric distances are able to generate a more complex and accurate similarity model than metric…

Computer Vision and Pattern Recognition · Computer Science 2019-04-11 Noa Garcia , George Vogiatzis

Similarity measures are widely used to interpret the representational geometries used by neural networks to solve tasks. Yet, because existing methods compare the extrinsic geometry of representations in state space, rather than their…

Machine Learning · Computer Science 2026-04-03 N Alex Cayco-Gajic , Arthur Pellegrino
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