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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 (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

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…

Neither deep neural networks nor symbolic AI alone has approached the kind of intelligence expressed in humans. This is mainly because neural networks are not able to decompose joint representations to obtain distinct objects (the so-called…

Machine Learning · Computer Science 2023-03-06 Michael Hersche , Mustafa Zeqiri , Luca Benini , Abu Sebastian , Abbas Rahimi

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 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

The ability to encode and manipulate data structures with distributed neural representations could qualitatively enhance the capabilities of traditional neural networks by supporting rule-based symbolic reasoning, a central property of…

Computer Vision and Pattern Recognition · Computer Science 2020-07-09 E. Paxon Frady , Spencer Kent , Bruno A. Olshausen , Friedrich T. Sommer

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

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) have been widely deployed in various cognitive applications due to their simple and efficient operations. The widespread adoption of VSAs has, in turn, spurred the development of numerous hardware…

Hardware Architecture · Computer Science 2025-11-24 Shuting Du , Mohamed Ibrahim , Zishen Wan , Luqi Zheng , Boheng Zhao , Zhenkun Fan , Che-Kai Liu , Tushar Krishna , Arijit Raychowdhury , Haitong Li

Vector Symbolic Architectures (VSAs) are one approach to developing Neuro-symbolic AI, where two vectors in $\mathbb{R}^d$ are `bound' together to produce a new vector in the same space. VSAs support the commutativity and associativity of…

Artificial Intelligence · Computer Science 2024-10-31 Mohammad Mahmudul Alam , Alexander Oberle , Edward Raff , Stella Biderman , Tim Oates , James Holt

Vector Symbolic Architectures (VSAs) give a way to represent a complex object as a single fixed-length vector, so that similar objects have similar vector representations. These vector representations then become easy to use for machine…

Machine Learning · Computer Science 2022-02-11 Stephen I. Gallant

Following the general theoretical framework of VSA (Vector Symbolic Architecture), a cognitive model with the use of sparse binary hypervectors is proposed. In addition, learning algorithms are introduced to bootstrap the model from…

Artificial Intelligence · Computer Science 2023-10-31 Zhonghao Yang

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

Hyperdimensional Computing (HDC), also known as Vector-Symbolic Architectures (VSA), is a promising framework for the development of cognitive architectures and artificial intelligence systems, as well as for technical applications and…

Artificial Intelligence · Computer Science 2022-01-03 Dmitri A. Rachkovskij

Transformer-based language models display impressive reasoning-like behavior, yet remain brittle on tasks that require stable symbolic manipulation. This paper develops a unified perspective on these phenomena by interpreting self-attention…

Artificial Intelligence · Computer Science 2025-12-18 Sahil Rajesh Dhayalkar

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

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

Vector symbolic architectures (VSAs) are a family of information representation techniques which enable composition, i.e., creating complex information structures from atomic vectors via binding and superposition, and have recently found…

Information Theory · Computer Science 2026-04-17 Zirui Deng , Netanel Raviv

Combinatorial generalization - the ability to understand and produce novel combinations of already familiar elements - is considered to be a core capacity of the human mind and a major challenge to neural network models. A significant body…

Artificial Intelligence · Computer Science 2019-09-24 Ivan Vankov , Jeffrey Bowers
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