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The entorhinal-hippocampal formation is the mammalian brain's navigation system, encoding both physical and abstract spaces via grid cells. This system is well-studied in neuroscience, and its efficiency and versatility make it attractive…

Neural and Evolutionary Computing · Computer Science 2025-03-12 Sven Krausse , Emre Neftci , Friedrich T. Sommer , Alpha Renner

Analyzing a visual scene by inferring the configuration of a generative model is widely considered the most flexible and generalizable approach to scene understanding. Yet, one major problem is the computational challenge of the inference…

Computer Vision and Pattern Recognition · Computer Science 2024-06-28 Alpha Renner , Lazar Supic , Andreea Danielescu , Giacomo Indiveri , Bruno A. Olshausen , Yulia Sandamirskaya , Friedrich T. Sommer , E. Paxon Frady

Hyperdimensional computing (HDC) is a method to perform classification that uses binary vectors with high dimensions and the majority rule. This approach has the potential to be energy-efficient and hence deemed suitable for…

Machine Learning · Computer Science 2023-10-13 Zhanglu Yan , Shida Wang , Kaiwen Tang , Weng-Fai Wong

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

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

We introduce Residue Hyperdimensional Computing, a computing framework that unifies residue number systems with an algebra defined over random, high-dimensional vectors. We show how residue numbers can be represented as high-dimensional…

Neural and Evolutionary Computing · Computer Science 2023-11-09 Christopher J. Kymn , Denis Kleyko , E. Paxon Frady , Connor Bybee , Pentti Kanerva , Friedrich T. Sommer , Bruno A. Olshausen

The automation of user interface development has the potential to accelerate software delivery by mitigating intensive manual implementation. Despite the advancements in Large Multimodal Models for design-to-code translation, existing…

Information Retrieval · Computer Science 2025-12-24 Xian Wu , Ming Zhang , Zhiyu Fang , Fei Li , Bin Wang , Yong Jiang , Hao Zhou

We investigate the task of retrieving information from compositional distributed representations formed by Hyperdimensional Computing/Vector Symbolic Architectures and present novel techniques which achieve new information rate bounds.…

Neural and Evolutionary Computing · Computer Science 2023-05-29 Denis Kleyko , Connor Bybee , Ping-Chen Huang , Christopher J. Kymn , Bruno A. Olshausen , E. Paxon Frady , Friedrich T. Sommer

Representing meaning in the form of high dimensional vectors is a common and powerful tool in biologically inspired architectures. While the meaning of a set of concepts can be summarized by taking a (possibly weighted) sum of their…

Artificial Intelligence · Computer Science 2018-09-25 Douglas Summers-Stay , Peter Sutor , Dandan Li

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

Conventional video object segmentation (VOS) methods usually necessitate a substantial volume of pixel-level annotated video data for fully supervised learning. In this paper, we present HVC, a \textbf{h}ybrid static-dynamic \textbf{v}isual…

Computer Vision and Pattern Recognition · Computer Science 2024-04-23 Gensheng Pei , Yazhou Yao , Jianbo Jiao , Wenguan Wang , Liqiang Nie , Jinhui Tang

Symbolic computer vision represents diagrams through explicit logical rules and structured representations, enabling interpretable understanding in machine vision. This requires fundamentally different learning paradigms from pixel-based…

Computer Vision and Pattern Recognition · Computer Science 2025-12-04 Shan Zhang , Aotian Chen , Kai Zou , Jindong Gu , Yuan Xue , Anton van den Hengel

Hyperdimensional computing (HDC) is an emerging computing paradigm that represents, manipulates, and communicates data using very long random vectors (aka hypervectors). Among different hardware platforms capable of executing HDC…

Hardware Architecture · Computer Science 2022-05-24 Robert Guirado , Abbas Rahimi , Geethan Karunaratne , Eduard Alarcón , Abu Sebastian , Sergi Abadal

We present a novel way to encode compositional information in high-dimensional (HD) vectors. Inspired by chromosomal crossover, random HD vectors are recursively interwoven, with a fraction of one vector's components masked out and replaced…

Neurons and Cognition · Quantitative Biology 2019-11-18 Rich Pang

This paper studies the geometry of binary hyperdimensional computing (HDC), a computational scheme in which data are encoded using high-dimensional binary vectors. We establish a result about the similarity structure induced by the HDC…

Machine Learning · Computer Science 2024-04-29 Saeid Pourmand , Wyatt D. Whiting , Alireza Aghasi , Nicholas F. Marshall

Convolutional Sparse Coding (CSC) is a well-established image representation model especially suited for image restoration tasks. In this work, we extend the applicability of this model by proposing a supervised approach to convolutional…

Computer Vision and Pattern Recognition · Computer Science 2018-04-10 Lama Affara , Bernard Ghanem , Peter Wonka

Hyperdimensional Computing affords simple, yet powerful operations to create long Hyperdimensional Vectors (hypervectors) that can efficiently encode information, be used for learning, and are dynamic enough to be modified on the fly. In…

Symbolic Computation · Computer Science 2022-06-01 Peter Sutor , Dehao Yuan , Douglas Summers-Stay , Cornelia Fermuller , Yiannis Aloimonos

We construct a two-layered model for learning and generating sequential data that is both computationally fast and competitive with vanilla Tsetlin machines, adding numerous advantages. Through the use of hyperdimensional vector computing…

Machine Learning · Computer Science 2024-08-30 Christian D. Blakely

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

Hypergraphs model complex, non-binary relationships like co-authorships, social group memberships, and recommendations. Like traditional graphs, hypergraphs can grow large, posing challenges for storage, transmission, and query performance.…

Data Structures and Algorithms · Computer Science 2026-04-16 Enno Adler , Stefan Böttcher , Rita Hartel