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We study structured abstraction-based reasoning for the Abstraction and Reasoning Corpus (ARC) and compare its generalization to test-time approaches. Purely neural architectures lack reliable combinatorial generalization, while strictly…

Artificial Intelligence · Computer Science 2026-04-06 Anugyan Das , Omkar Ghugarkar , Vishvesh Bhat , Asad Aali

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

Despite their capabilities, Large Language Models (LLMs) remain opaque with limited understanding of their internal representations. Current interpretability methods either focus on input-oriented feature extraction, such as supervised…

Computation and Language · Computer Science 2025-12-03 Marco Bronzini , Carlo Nicolini , Bruno Lepri , Jacopo Staiano , Andrea Passerini

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

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

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 visual reasoning is characterized by an ability to identify abstract patterns from only a small number of examples, and to systematically generalize those patterns to novel inputs. This capacity depends in large part on our ability to…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Taylor W. Webb , Shanka Subhra Mondal , Jonathan D. Cohen

Uniquely among primates, humans possess a remarkable capacity to recognize and manipulate abstract structure in the service of task goals across a broad range of behaviors. One illustration of this is in the visual perception of geometric…

Neurons and Cognition · Quantitative Biology 2023-10-02 Declan Campbell , Sreejan Kumar , Tyler Giallanza , Jonathan D. Cohen , Thomas L. Griffiths

We model human and animal learning by computing with high-dimensional vectors (H = 10,000 for example). The architecture resembles traditional (von Neumann) computing with numbers, but the instructions refer to vectors and operate on them…

Machine Learning · Computer Science 2026-02-24 Pentti Kanerva

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

Representation is a core issue in artificial intelligence. Humans use discrete language to communicate and learn from each other, while machines use continuous features (like vector, matrix, or tensor in deep neural networks) to represent…

Computer Vision and Pattern Recognition · Computer Science 2022-01-17 Yuqi Wang , Xu-Yao Zhang , Cheng-Lin Liu , Zhaoxiang Zhang

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

Deep learning architectures based on convolutional neural networks tend to rely on continuous, smooth features. While this characteristics provides significant robustness and proves useful in many real-world tasks, it is strikingly…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Zuzanna Buchnajzer , Kacper Dobek , Stanisław Hapke , Daniel Jankowski , Krzysztof Krawiec

Humans have the ability to seamlessly combine low-level visual input with high-level symbolic reasoning often in the form of recognising objects, learning relations between them and applying rules. Neuro-symbolic systems aim to bring a…

Machine Learning · Computer Science 2022-03-01 Nuri Cingillioglu , Alessandra Russo

Symbolic regression is a machine learning technique that can learn the governing formulas of data and thus has the potential to transform scientific discovery. However, symbolic regression is still limited in the complexity and…

Machine Learning · Computer Science 2023-05-30 Michael Zhang , Samuel Kim , Peter Y. Lu , Marin Soljačić

Human reasoning can be understood as a cooperation between the intuitive, associative "System-1" and the deliberative, logical "System-2". For existing System-1-like methods in visual activity understanding, it is crucial to integrate…

Computer Vision and Pattern Recognition · Computer Science 2023-11-30 Xiaoqian Wu , Yong-Lu Li , Jianhua Sun , Cewu Lu

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…

Machine Learning · Computer Science 2025-11-13 Connor Hanley , Eilene Tomkins-Flanaganm , Mary Alexandria Kelly

We marry two powerful ideas: deep representation learning for visual recognition and language understanding, and symbolic program execution for reasoning. Our neural-symbolic visual question answering (NS-VQA) system first recovers a…

Artificial Intelligence · Computer Science 2019-01-16 Kexin Yi , Jiajun Wu , Chuang Gan , Antonio Torralba , Pushmeet Kohli , Joshua B. Tenenbaum

Neuro-symbolic systems combine the abilities of neural perception and logical reasoning. However, end-to-end learning of neuro-symbolic systems is still an unsolved challenge. This paper proposes a natural framework that fuses neural…

Artificial Intelligence · Computer Science 2024-10-29 Zenan Li , Yunpeng Huang , Zhaoyu Li , Yuan Yao , Jingwei Xu , Taolue Chen , Xiaoxing Ma , Jian Lu

Recognizing elementary underlying concepts from observations (disentanglement) and generating novel combinations of these concepts (compositional generalization) are fundamental abilities for humans to support rapid knowledge learning and…

Computer Vision and Pattern Recognition · Computer Science 2023-05-30 Tao Yang , Yuwang Wang , Cuiling Lan , Yan Lu , Nanning Zheng