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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 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

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

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

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

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) 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

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

The remarkable advancements in artificial intelligence (AI), primarily driven by deep neural networks, are facing challenges surrounding unsustainable computational trajectories, limited robustness, and a lack of explainability. To develop…

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 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

Symbolic reasoning and neural networks are often considered incompatible approaches. Connectionist models known as Vector Symbolic Architectures (VSAs) can potentially bridge this gap. However, classical VSAs and neural networks are still…

Neural and Evolutionary Computing · Computer Science 2020-09-16 E. Paxon Frady , Denis Kleyko , Friedrich T. Sommer

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

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

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

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

Human cognition excels at symbolic reasoning, deducing abstract rules from limited samples. This has been explained using symbolic and connectionist approaches, inspiring the development of a neuro-symbolic architecture that combines both…

Artificial Intelligence · Computer Science 2024-05-24 Mohamed Mejri , Chandramouli Amarnath , Abhijit Chatterjee

Motivated by recent innovations in biologically-inspired neuromorphic hardware, this article presents a novel unsupervised machine learning algorithm named Hyperseed that draws on the principles of Vector Symbolic Architectures (VSA) for…

Artificial Intelligence · Computer Science 2022-09-30 Evgeny Osipov , Sachin Kahawala , Dilantha Haputhanthri , Thimal Kempitiya , Daswin De Silva , Damminda Alahakoon , Denis Kleyko

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

Graph classification is a fundamental task in domains ranging from molecular property prediction to materials design. While graph neural networks (GNNs) achieve strong performance by learning expressive representations via message passing,…

Machine Learning · Computer Science 2025-12-04 Hamed Poursiami , Shay Snyder , Guojing Cong , Thomas Potok , Maryam Parsa
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