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This article reviews recent progress in the development of the computing framework vector symbolic architectures (VSA) (also known as hyperdimensional computing). This framework is well suited for implementation in stochastic, emerging…

Vector space models for symbolic processing that encode symbols by random vectors have been proposed in cognitive science and connectionist communities under the names Vector Symbolic Architecture (VSA), and, synonymously, Hyperdimensional…

Machine Learning · Computer Science 2021-09-09 E. Paxon Frady , Denis Kleyko , Christopher J. Kymn , Bruno A. Olshausen , Friedrich T. Sommer

Connectionist approaches to machine learning, \emph{i.e.} neural networks, are enjoying a considerable vogue right now. However, these methods require large volumes of data and produce models that are uninterpretable to humans. An…

Artificial Intelligence · Computer Science 2025-05-06 Nolan P Shaw , P Michael Furlong , Britt Anderson , Jeff Orchard

Vector Symbolic Architectures (VSAs) are high-dimensional vector representations of objects (eg., words, image parts), relations (eg., sentence structures), and sequences for use with machine learning algorithms. They consist of a vector…

Machine Learning · Computer Science 2015-02-02 Stephen I. Gallant , T. Wendy Okaywe

Vector Symbolic Architectures combine a high-dimensional vector space with a set of carefully designed operators in order to perform symbolic computations with large numerical vectors. Major goals are the exploitation of their…

Artificial Intelligence · Computer Science 2021-12-17 Kenny Schlegel , Peer Neubert , Peter Protzel

Vector-symbolic architectures (VSAs) provide methods for computing which are highly flexible and carry unique advantages. Concepts in VSAs are represented by 'symbols,' long vectors of values which utilize properties of high-dimensional…

Machine Learning · Computer Science 2022-07-20 Wilkie Olin-Ammentorp Maxim Bazhenov

While Vector Symbolic Architectures (VSAs) are promising for modelling spatial cognition, their application is currently limited to artificially generated images and simple spatial queries. We propose VSA4VQA - a novel 4D implementation of…

Computer Vision and Pattern Recognition · Computer Science 2024-05-08 Anna Penzkofer , Lei Shi , Andreas Bulling

Image-to-image translation has played an important role in enabling synthetic data for computer vision. However, if the source and target domains have a large semantic mismatch, existing techniques often suffer from source content…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Justin Theiss , Jay Leverett , Daeil Kim , Aayush Prakash

This is Part II of the two-part comprehensive survey devoted to a computing framework most commonly known under the names Hyperdimensional Computing and Vector Symbolic Architectures (HDC/VSA). Both names refer to a family of computational…

Artificial Intelligence · Computer Science 2023-08-02 Denis Kleyko , Dmitri A. Rachkovskij , Evgeny Osipov , Abbas Rahimi

Vector Symbolic Architectures (VSAs) are a powerful framework for representing compositional reasoning. They lend themselves to neural-network implementations, allowing us to create neural networks that can perform cognitive functions, like…

Neural and Evolutionary Computing · Computer Science 2023-03-02 Jeff Orchard , Russell Jarvis

Hyperdimensional computing (HDC) is a biologically-inspired framework which represents symbols with high-dimensional vectors, and uses vector operations to manipulate them. The ensemble of a particular vector space and a prescribed set of…

Machine Learning · Computer Science 2023-02-16 Kenneth L. Clarkson , Shashanka Ubaru , Elizabeth Yang

Techniques in which words are represented as vectors have proved useful in many applications in computational linguistics, however there is currently no general semantic formalism for representing meaning in terms of vectors. We present a…

Computation and Language · Computer Science 2020-09-23 Daoud Clarke

Using Frequency-domain Holographic Reduced Representations (FHRRs), we extend a Vector-Symbolic Architecture (VSA) encoding of Lisp 1.5 with primitives for arithmetic operations using Residue Hyperdimensional Computing (RHC). Encoding a…

Machine Learning · Computer Science 2025-11-13 Connor Hanley , Eilene Tomkins-Flanaganm , Mary Alexandria Kelly

Distributional and neural approaches to natural language semantics have been built almost exclusively on conventional linear algebra: vectors, matrices, tensors, and the operations that accompany them. These methods have achieved remarkable…

Computation and Language · Computer Science 2026-04-29 James Pustejovsky

A key challenge in artificial intelligence and neuroscience is understanding how neural systems learn representations that capture the underlying dynamics of the world. Most world models represent the transition function with unstructured…

Machine Learning · Computer Science 2026-02-26 William Youngwoo Chung , Calvin Yeung , Hansen Jin Lillemark , Zhuowen Zou , Xiangjian Liu , Mohsen Imani

This two-part comprehensive survey is devoted to a computing framework most commonly known under the names Hyperdimensional Computing and Vector Symbolic Architectures (HDC/VSA). Both names refer to a family of computational models that use…

Artificial Intelligence · Computer Science 2023-08-02 Denis Kleyko , Dmitri A. Rachkovskij , Evgeny Osipov , Abbas Rahimi

Hyperdimensional computing (HDC), also known as vector symbolic architectures (VSA), is a computing framework used within artificial intelligence and cognitive computing that operates with distributed vector representations of large fixed…

Artificial Intelligence · Computer Science 2022-05-18 Dmitri A. Rachkovskij , Denis Kleyko

Techniques in which words are represented as vectors have proved useful in many applications in computational linguistics, however there is currently no general semantic formalism for representing meaning in terms of vectors. We present a…

Computation and Language · Computer Science 2015-03-17 Daoud Clarke

Vector Symbolic Architectures (VSAs) provide a well-defined algebraic framework for compositional representations in hyperdimensional spaces. We introduce HyperSpace, an open-source framework that decomposes VSA systems into modular…

Artificial Intelligence · Computer Science 2026-05-12 Shay Snyder , Andrew Capodieci , David Gorsich , Maryam Parsa

Combined, joint, intra-governmental, inter-agency and multinational (CJIIM) operations require rapid data sharing without the bottlenecks of metadata curation and alignment. Curation and alignment is particularly infeasible for external…

Information Retrieval · Computer Science 2024-08-21 Cai Davies , Sam Meek , Philip Hawkins , Benomy Tutcher , Graham Bent , Alun Preece
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