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This paper introduces a learning framework for Three-Directional Associative Memory (TAM) models, extending the classical Hebbian paradigm to both supervised and unsupervised protocols within an hetero-associative setting. These neural…

Disordered Systems and Neural Networks · Physics 2025-11-25 Andrea Alessandrelli , Adriano Barra , Andrea Ladiana , Andrea Lepre , Federico Ricci-Tersenghi

This paper gives an overview of a theory for modelling the interaction between geometric image transformations and receptive field responses for a visual observer that views objects and spatio-temporal events in the environment. This…

Neurons and Cognition · Quantitative Biology 2026-05-14 Tony Lindeberg

Biological visual systems learn from limited experience, unlike deep learning models that rely on millions of training images. What learning principles make this possible? We tested whether efficient coding, the idea that neural…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Ananya Passi , Brian S. Robinson , Michael F. Bonner

The classical sparse coding (SC) model represents visual stimuli as a linear combination of a handful of learned basis functions that are Gabor-like when trained on natural image data. However, the Gabor-like filters learned by classical…

Neurons and Cognition · Quantitative Biology 2024-02-19 Jonathan Huml , Abiy Tasissa , Demba Ba

Backpropagation algorithm has driven the remarkable success of deep neural networks, but its lack of biological plausibility and high computational costs have motivated the ongoing search for alternative training methods. Hebbian learning…

Artificial Intelligence · Computer Science 2026-04-23 Wenjia Hua , Kejie Zhao , Luziwei Leng , Ran Cheng , Yuxin Ma , Qinghai Guo

The primate brain contains a hierarchy of visual areas, dubbed the ventral stream, which rapidly computes object representations that are both specific for object identity and relatively robust against identity-preserving transformations…

Neural and Evolutionary Computing · Computer Science 2016-06-07 Joel Z. Leibo , Qianli Liao , Winrich Freiwald , Fabio Anselmi , Tomaso Poggio

This paper gives an in-depth theoretical analysis of the direction and speed selectivity properties of idealized models of the spatio-temporal receptive fields of simple cells and complex cells, based on the generalized Gaussian derivative…

Neurons and Cognition · Quantitative Biology 2026-01-15 Tony Lindeberg

The classic paradigms for learning and memory recall focus on strengths of synaptic couplings and how these can be modulated to encode memories. In a previous paper [A. K. Behera, M. Rao, S. Sastry, and S. Vaikuntanathan, Physical Review X…

Disordered Systems and Neural Networks · Physics 2024-10-10 Agnish Kumar Behera , Matthew Du , Uday Jagadisan , Srikanth Sastry , Madan Rao , Suriyanarayanan Vaikuntanathan

Understanding how biological constraints shape neural computation is a central goal of computational neuroscience. Spatially embedded recurrent neural networks provide a promising avenue to study how modelled constraints shape the combined…

Neural and Evolutionary Computing · Computer Science 2024-09-27 Cornelia Sheeran , Andrew S. Ham , Duncan E. Astle , Jascha Achterberg , Danyal Akarca

The dynamics and the stationary states for the competition between pattern reconstruction and asymmetric sequence processing are studied here in an exactly solvable feed-forward layered neural network model of binary units and patterns near…

Disordered Systems and Neural Networks · Physics 2009-11-11 F. L. Metz , W. K. Theumann

Habituation - a phenomenon in which a dynamical system exhibits a diminishing response to repeated stimulations that eventually recovers when the stimulus is withheld - is universally observed in living systems from animals to unicellular…

Adaptation and Self-Organizing Systems · Physics 2024-07-26 Matthew Smart , Stanislav Y. Shvartsman , Martin Mönnigmann

We present an exact solution for the dynamics of on-line Hebbian learning in neural networks, with restricted and unrealizable training sets. In contrast to other studies on learning with restricted training sets, unrealizability is here…

Disordered Systems and Neural Networks · Physics 2009-11-07 Jun-ichi Inoue , A. C. C. Coolen

The plasticity property of biological neural networks allows them to perform learning and optimize their behavior by changing their configuration. Inspired by biology, plasticity can be modeled in artificial neural networks by using Hebbian…

Neural and Evolutionary Computing · Computer Science 2020-12-21 Anil Yaman , Giovanni Iacca , Decebal Constantin Mocanu , George Fletcher , Mykola Pechenizkiy

We study characteristics of receptive fields of units in deep convolutional networks. The receptive field size is a crucial issue in many visual tasks, as the output must respond to large enough areas in the image to capture information…

Computer Vision and Pattern Recognition · Computer Science 2017-01-26 Wenjie Luo , Yujia Li , Raquel Urtasun , Richard Zemel

We address the problem of building theoretical models that help elucidate the function of the visual brain at computational/algorithmic and structural/mechanistic levels. We seek to understand how the receptive fields and topographic maps…

Neural and Evolutionary Computing · Computer Science 2020-11-10 Simon Osindero

Neural encoding of artificial neural networks (ANNs) links their computational representations to brain responses, offering insights into how the brain processes information. Current studies mostly use linear encoding models for clarity,…

Neurons and Cognition · Quantitative Biology 2024-10-29 Xiaohui Gao , Yue Cheng , Peiyang Li , Yijie Niu , Yifan Ren , Yiheng Liu , Haiyang Sun , Zhuoyi Li , Weiwei Xing , Xintao Hu

In this paper, we introduce a novel concept for learning of the parameters in a neural network. Our idea is grounded on modeling a learning problem that addresses a trade-off between (i) satisfying local objectives at each node and (ii)…

Machine Learning · Computer Science 2019-02-04 Dimche Kostadinov , Behrooz Razdehi , Slava Voloshynovskiy

Priming is the ability of the brain to more quickly activate a target concept in response to a related stimulus (prime). Experiments point to the existence of an overlap between the populations of the neurons coding for different stimuli.…

Adaptation and Self-Organizing Systems · Physics 2016-11-15 Pascal Chossat , Martin Krupa , Frédéric Lavigne

This work studies how brain-inspired neural ensembles equipped with local Hebbian plasticity can perform active inference (AIF) in order to control dynamical agents. A generative model capturing the environment dynamics is learned by a…

Neural and Evolutionary Computing · Computer Science 2023-06-23 Ali Safa , Tim Verbelen , Lars Keuninckx , Ilja Ocket , André Bourdoux , Francky Catthoor , Georges Gielen , Gert Cauwenberghs

Sparse code formation in the primary visual cortex (V1) has been inspiration for many state-of-the-art visual recognition systems. To stimulate this behavior, networks are trained networks under mathematical constraint of sparsity or…

Computer Vision and Pattern Recognition · Computer Science 2015-03-16 Nam Do-Hoang Le