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Humans have the ability to rapidly understand rich combinatorial concepts from limited data. Here we investigate this ability in the context of auditory signals, which have been evolved in a cultural transmission experiment to study the…

Computation and Language · Computer Science 2021-04-19 Matthias Hofer , Tuan Anh Le , Roger Levy , Josh Tenenbaum

We present a formal language with expressions denoting general symbol structures and queries which access information in those structures. A sequence-to-sequence network processing this language learns to encode symbol structures and query…

Artificial Intelligence · Computer Science 2018-03-13 Roland Fernandez , Asli Celikyilmaz , Rishabh Singh , Paul Smolensky

People can learn rich, general-purpose conceptual representations from only raw perceptual inputs. Current machine learning approaches fall well short of these human standards, although different modeling traditions often have complementary…

Artificial Intelligence · Computer Science 2021-01-26 Reuben Feinman , Brenden M. Lake

Neural fields, which represent signals as a function parameterized by a neural network, are a promising alternative to traditional discrete vector or grid-based representations. Compared to discrete representations, neural representations…

Machine Learning · Computer Science 2023-09-14 Jeffrey Gu , Kuan-Chieh Wang , Serena Yeung

Neuro-symbolic learning was proposed to address challenges with training neural networks for complex reasoning tasks with the added benefits of interpretability, reliability, and efficiency. Neuro-symbolic learning methods traditionally…

Machine Learning · Computer Science 2025-06-02 Adam Stein , Aaditya Naik , Neelay Velingker , Mayur Naik , Eric Wong

Neural networks continue to struggle with compositional generalization, and this issue is exacerbated by a lack of massive pre-training. One successful approach for developing neural systems which exhibit human-like compositional…

Artificial Intelligence · Computer Science 2024-12-19 Paul Soulos , Henry Conklin , Mattia Opper , Paul Smolensky , Jianfeng Gao , Roland Fernandez

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

Deep learning has consistently defied state-of-the-art techniques in many fields over the last decade. However, we are just beginning to understand the capabilities of neural learning in symbolic domains. Deep learning architectures that…

Machine Learning · Computer Science 2020-03-10 Henrique Lemos , Marcelo Prates , Pedro Avelar , Luis Lamb

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

We introduce combinatorial interpretability, a methodology for understanding neural computation by analyzing the combinatorial structures in the sign-based categorization of a network's weights and biases. We demonstrate its power through…

Machine Learning · Computer Science 2025-05-07 Micah Adler , Dan Alistarh , Nir Shavit

The extent to which neural networks are able to acquire and represent symbolic rules remains a key topic of research and debate. Much current work focuses on the impressive capabilities of large language models, as well as their often…

Machine Learning · Computer Science 2025-06-11 Anna Langedijk , Jaap Jumelet , Willem Zuidema

The Abstraction and Reasoning Corpus (ARC) evaluates general reasoning capabilities that are difficult for both machine learning models and combinatorial search methods. We propose a neuro-symbolic approach that combines a transformer for…

Artificial Intelligence · Computer Science 2025-01-09 Paweł Batorski , Jannik Brinkmann , Paul Swoboda

In recent years, there has been a growing interest in using learning-based approaches for solving combinatorial problems, either in an end-to-end manner or in conjunction with traditional optimization algorithms. In both scenarios, the…

Machine Learning · Computer Science 2024-03-14 Léo Boisvert , Hélène Verhaeghe , Quentin Cappart

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

Current learning models often struggle with human-like systematic generalization, particularly in learning compositional rules from limited data and extrapolating them to novel combinations. We introduce the Neural-Symbolic Recursive…

Machine Learning · Computer Science 2024-04-30 Qing Li , Yixin Zhu , Yitao Liang , Ying Nian Wu , Song-Chun Zhu , Siyuan Huang

With the advent of large labelled datasets and high-capacity models, the performance of machine vision systems has been improving rapidly. However, the technology has still major limitations, starting from the fact that different vision…

Computer Vision and Pattern Recognition · Computer Science 2024-02-27 Hakan Bilen , Andrea Vedaldi

Complex visual scenes that are composed of multiple objects, each with attributes, such as object name, location, pose, color, etc., are challenging to describe in order to train neural networks. Usually,deep learning networks are trained…

Neural and Evolutionary Computing · Computer Science 2023-03-27 E. Paxon Frady , Spencer Kent , Quinn Tran , Pentti Kanerva , 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…

Machine Learning · Computer Science 2023-03-06 Michael Hersche , Mustafa Zeqiri , Luca Benini , Abu Sebastian , Abbas Rahimi

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…

Computer Vision and Pattern Recognition · Computer Science 2020-07-09 E. Paxon Frady , Spencer Kent , Bruno A. Olshausen , Friedrich T. Sommer

How do we imagine visual objects and combine them to create new forms? To answer this question, we need to explore the cognitive, computational and neural mechanisms underlying imagery and creativity. The body of research on deep learning…

Neurons and Cognition · Quantitative Biology 2021-12-14 Shekoofeh Hedayati , Roger Beaty , Brad Wyble
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