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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…

神经与进化计算 · 计算机科学 2023-03-02 Jeff Orchard , Russell Jarvis

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…

人工智能 · 计算机科学 2025-12-18 Sahil Rajesh Dhayalkar

Vector Symbolic Architectures (VSAs) have emerged as a novel framework for enabling interpretable machine learning algorithms equipped with the ability to reason and explain their decision processes. The basic idea is to represent discrete…

计算机视觉与模式识别 · 计算机科学 2024-03-21 Calvin Yeung , Prathyush Poduval , Mohsen Imani

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…

机器学习 · 计算机科学 2015-02-02 Stephen I. Gallant , T. Wendy Okaywe

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…

信息论 · 计算机科学 2026-04-17 Zirui Deng , Netanel Raviv

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) 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…

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…

机器学习 · 计算机科学 2025-11-13 Connor Hanley , Eilene Tomkins-Flanaganm , Mary Alexandria Kelly

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…

机器学习 · 计算机科学 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…

人工智能 · 计算机科学 2025-05-06 Nolan P Shaw , P Michael Furlong , Britt Anderson , Jeff Orchard

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…

人工智能 · 计算机科学 2024-05-24 Mohamed Mejri , Chandramouli Amarnath , Abhijit Chatterjee

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…

人工智能 · 计算机科学 2024-10-31 Mohammad Mahmudul Alam , Alexander Oberle , Edward Raff , Stella Biderman , Tim Oates , James Holt

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…

人工智能 · 计算机科学 2026-05-12 Shay Snyder , Andrew Capodieci , David Gorsich , Maryam Parsa

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…

计算机视觉与模式识别 · 计算机科学 2020-07-09 E. Paxon Frady , Spencer Kent , Bruno A. Olshausen , Friedrich T. Sommer

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…

机器学习 · 计算机科学 2023-03-06 Michael Hersche , Mustafa Zeqiri , Luca Benini , Abu Sebastian , Abbas Rahimi

To accommodate structured approaches of neural computation, we propose a class of recurrent neural networks for indexing and storing sequences of symbols or analog data vectors. These networks with randomized input weights and orthogonal…

神经与进化计算 · 计算机科学 2018-03-02 E. Paxon Frady , Denis Kleyko , Friedrich T. Sommer

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…

人工智能 · 计算机科学 2021-12-17 Kenny Schlegel , Peer Neubert , Peter Protzel

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…

神经与进化计算 · 计算机科学 2020-09-16 E. Paxon Frady , Denis Kleyko , Friedrich T. Sommer

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…

机器学习 · 计算机科学 2023-02-16 Kenneth L. Clarkson , Shashanka Ubaru , Elizabeth Yang

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…

人工智能 · 计算机科学 2022-05-18 Dmitri A. Rachkovskij , Denis Kleyko
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