A survey on hyperdimensional computing aka vector symbolic architectures, part ii: Applications, cognitive models, and challenges

D Kleyko, D Rachkovskij, E Osipov, A Rahimi - ACM Computing Surveys, 2023 - dl.acm.org
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 …

A comparison of vector symbolic architectures

K Schlegel, P Neubert, P Protzel - Artificial Intelligence Review, 2022 - Springer
Abstract Vector Symbolic Architectures combine a high-dimensional vector space with a set
of carefully designed operators in order to perform symbolic computations with large …

Reasoning with vectors: A continuous model for fast robust inference

D Widdows, T Cohen - Logic Journal of the IGPL, 2015 - academic.oup.com
This article describes the use of continuous vector space models for reasoning with a formal
knowledge base. The practical significance of these models is that they support fast …

Formation of similarity-reflecting binary vectors with random binary projections

DA Rachkovskij - Cybernetics and Systems Analysis, 2015 - Springer
We propose a transformation of real input vectors to output binary vectors by projection
using a binary random matrix with elements {0, 1} and thresholding. We investigate the rate …

Analogical mapping and inference with binary spatter codes and sparse distributed memory

B Emruli, RW Gayler, F Sandin - The 2013 international joint …, 2013 - ieeexplore.ieee.org
Analogy-making is a key function of human cognition. Therefore, the development of
computational models of analogy that automatically learn from examples can lead to …

Randomized projective methods for the construction of binary sparse vector representations

DA Rachkovskij, IS Misuno, SV Slipchenko - Cybernetics and Systems …, 2012 - Springer
Abstract Properties of randomized binary vector representations with adjustable sparseness
are investigated. Such representations are formed from input vectors by projecting them …

Estimation of vectors similarity by their randomized binary projections

DA Rachkovskij - Cybernetics and Systems Analysis, 2015 - Springer
We analyze the estimation of the angle, scalar product, and the Euclidean distance of real-
valued vectors using binary vectors with controlled sparsity. Transformation is carried out by …

Web user clustering and Web prefetching using Random Indexing with weight functions

M Wan, A Jönsson, C Wang, L Li, Y Yang - Knowledge and information …, 2012 - Springer
Users of a Web site usually perform their interest-oriented actions by clicking or visiting Web
pages, which are traced in access log files. Clustering Web user access patterns may …

Vector data transformation using random binary matrices

DA Rachkovskij - Cybernetics and Systems Analysis, 2014 - Springer
This article proposes to use a binary random matrix with the elements {0, 1} to project input
floating-point vectors onto output floating-point vectors of smaller dimension. The accuracies …

A random indexing approach for web user clustering and web prefetching

M Wan, A Jönsson, C Wang, L Li, Y Yang - New Frontiers in Applied Data …, 2012 - Springer
In this paper we present a novel technique to capture Web users' behaviour based on their
interest-oriented actions. In our approach we utilise the vector space model Random …