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The brain encodes spacial structure through a combinatorial code of neural activity. Experiments suggest such codes correspond to convex areas of the subject's environment. We present an intrinsic condition that implies a neural code may…

Combinatorics · Mathematics 2016-10-20 Robert Williams

Although it seems counter-intuitive, categorical colours do not exist as external physical entities but are very much the product of our brains. Our cortical machinery segments the world and associate objects to specific colour terms, which…

Computer Vision and Pattern Recognition · Computer Science 2017-09-20 Arash Akbarinia , C. Alejandro Parraga

Introduction: In contrast to current AI technology, natural intelligence -- the kind of autonomous intelligence that is realized in the brains of animals and humans to attain in their natural environment goals defined by a repertoire of…

Artificial Intelligence · Computer Science 2022-05-03 Christoph von der Malsburg , Thilo Stadelmann , Benjamin F. Grewe

Reconstructing continuous environmental fields from sparse and irregular observations remains a central challenge in environmental modelling and biodiversity informatics. Many ecological datasets are heterogeneous in space and time, making…

Machine Learning · Computer Science 2026-04-21 Agnieszka Pregowska , Hazem M. Kalaji

Neural networks transform high-dimensional data into compact, structured representations, often modeled as elements of a lower dimensional latent space. In this paper, we present an alternative interpretation of neural models as dynamical…

Machine Learning · Computer Science 2026-03-26 Marco Fumero , Luca Moschella , Emanuele Rodolà , Francesco Locatello

A popular theory of perceptual processing holds that the brain learns both a generative model of the world and a paired recognition model using variational Bayesian inference. Most hypotheses of how the brain might learn these models assume…

Neurons and Cognition · Quantitative Biology 2021-06-01 Ari S. Benjamin , Konrad P. Kording

We present a new distributed representation in deep neural nets wherein the information is represented in native form as a matrix. This differs from current neural architectures that rely on vector representations. We consider matrices as…

Machine Learning · Computer Science 2018-02-06 Kien Do , Truyen Tran , Svetha Venkatesh

In this paper, we present a neuro-inspired approach to reservoir computing (RC) in which a network of in vitro cultured cortical neurons serves as the physical reservoir. Rather than relying on artificial recurrent models to approximate…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Luca Ciampi , Ludovico Iannello , Fabrizio Tonelli , Gabriele Lagani , Angelo Di Garbo , Federico Cremisi , Giuseppe Amato

The informational synthesis of neural structures, processes, parameters and characteristics that allow a unified description and modeling as neural machines of natural and artificial neural systems is presented. The general informational…

Neural and Evolutionary Computing · Computer Science 2024-04-08 Iosif Iulian Petrila

We begin this chapter with the bold claim that it provides a neuroscientific explanation of the magic of creativity. Creativity presents a formidable challenge for neuroscience. Neuroscience generally involves studying what happens in the…

Neurons and Cognition · Quantitative Biology 2019-07-09 Liane Gabora , Apara Ranjan

Deep learning continues to play as a powerful state-of-art technique that has achieved extraordinary accuracy levels in various domains of regression and classification tasks, including images, video, signal, and natural language data. The…

Neural and Evolutionary Computing · Computer Science 2022-06-03 Anna Zou , Zhiyuan Li

Despite the success of neural networks at solving concrete physics problems, their use as a general-purpose tool for scientific discovery is still in its infancy. Here, we approach this problem by modelling a neural network architecture…

Quantum Physics · Physics 2020-01-24 Raban Iten , Tony Metger , Henrik Wilming , Lidia del Rio , Renato Renner

Capsule networks were proposed as an alternative approach to Convolutional Neural Networks (CNNs) for learning object-centric representations, which can be leveraged for improved generalization and sample complexity. Unlike CNNs, capsule…

Computer Vision and Pattern Recognition · Computer Science 2022-06-07 Fabio De Sousa Ribeiro , Kevin Duarte , Miles Everett , Georgios Leontidis , Mubarak Shah

Animals learn to predict external contingencies from experience through a process of conditioning. A natural mechanism for conditioning is stimulus substitution, whereby the neuronal response to a stimulus with no prior behavioral…

Neurons and Cognition · Quantitative Biology 2024-09-23 Pantelis Vafidis , Antonio Rangel

In this work, we show that neural networks can be represented via the mathematical theory of quiver representations. More specifically, we prove that a neural network is a quiver representation with activation functions, a mathematical…

Machine Learning · Computer Science 2021-03-24 Marco Antonio Armenta , Pierre-Marc Jodoin

Humans readily recognize objects from sparse line drawings, a capacity that appears early in development and persists across cultures, suggesting neural rather than purely learned origins. Yet the computational mechanism by which the brain…

Artificial Intelligence · Computer Science 2026-04-16 Seowung Leem , Lin Gu , Ruogu Fang

Associative memories in the brain receive and store patterns of activity registered by the sensory neurons, and are able to retrieve them when necessary. Due to their importance in human intelligence, computational models of associative…

Machine Learning · Computer Science 2021-09-17 Tommaso Salvatori , Yuhang Song , Yujian Hong , Simon Frieder , Lei Sha , Zhenghua Xu , Rafal Bogacz , Thomas Lukasiewicz

The thesis explores the role machine learning methods play in creating intuitive computational models of neural processing. Combined with interpretability techniques, machine learning could replace human modeler and shift the focus of human…

Neurons and Cognition · Quantitative Biology 2020-10-20 Ilya Kuzovkin

Understanding the relation between cortical neuronal network structure and neuronal activity is a fundamental unresolved question in neuroscience, with implications to our understanding of the mechanism by which neuronal networks evolve…

A biological neural network in the cortex forms a neural field. Neurons in the field have their own receptive fields, and connection weights between two neurons are random but highly correlated when they are in close proximity in receptive…

Machine Learning · Computer Science 2023-01-10 Kaito Watanabe , Kotaro Sakamoto , Ryo Karakida , Sho Sonoda , Shun-ichi Amari
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