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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

A central goal of unsupervised learning is to acquire representations from unlabeled data or experience that can be used for more effective learning of downstream tasks from modest amounts of labeled data. Many prior unsupervised learning…

Machine Learning · Computer Science 2019-03-25 Kyle Hsu , Sergey Levine , Chelsea Finn

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 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

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

Following the initial publication of hdlib, a Python library for designing Vector-Symbolic Architectures (VSA), we introduce a major extension that significantly enhances its machine learning capabilities. VSA, also known as…

Machine Learning · Computer Science 2026-01-07 Fabio Cumbo , Kabir Dhillon , Daniel Blankenberg

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 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

The present phase of Machine Learning is characterized by supervised learning algorithms relying on large sets of labeled examples ($n \to \infty$). The next phase is likely to focus on algorithms capable of learning from very few labeled…

Computer Vision and Pattern Recognition · Computer Science 2014-03-12 Fabio Anselmi , Joel Z. Leibo , Lorenzo Rosasco , Jim Mutch , Andrea Tacchetti , Tomaso Poggio

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), 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

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

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 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

Unsupervised machine learning is a cornerstone of artificial intelligence as it provides algorithms capable of learning tasks, such as classification of data, without explicit human assistance. We present an unsupervised deep learning…

Disordered Systems and Neural Networks · Physics 2020-03-23 Oleksandr Balabanov , Mats Granath

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

When deep learning is applied to visual object recognition, data augmentation is often used to generate additional training data without extra labeling cost. It helps to reduce overfitting and increase the performance of the algorithm. In…

Computer Vision and Pattern Recognition · Computer Science 2014-02-18 Alexey Dosovitskiy , Jost Tobias Springenberg , Thomas Brox

With the rapid increase of compound databases available in medicinal and material science, there is a growing need for learning representations of molecules in a semi-supervised manner. In this paper, we propose an unsupervised hierarchical…

Machine Learning · Statistics 2017-11-30 Hai Nguyen , Shin-ichi Maeda , Kenta Oono

In this paper, we present a new algorithm for semi-supervised representation learning. In this algorithm, we first find a vector representation for the labels of the data points based on their local positions in the space. Then, we map the…

Machine Learning · Computer Science 2020-08-05 Ershad Banijamali , Ali Ghodsi
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