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Representation learning from complex data typically involves models with a large number of parameters, which in turn require large amounts of data samples. In neural network models, model complexity grows with the number of inputs to each…

Machine Learning · Computer Science 2026-03-03 Carlos Stein Brito

Deep neural networks come in many sizes and architectures. The choice of architecture, in conjunction with the dataset and learning algorithm, is commonly understood to affect the learned neural representations. Yet, recent results have…

Machine Learning · Computer Science 2024-07-08 Loek van Rossem , Andrew M. Saxe

Neural networks have been shown to perform incredibly well in classification tasks over structured high-dimensional datasets. However, the learning dynamics of such networks is still poorly understood. In this paper we study in detail the…

Machine Learning · Statistics 2022-01-12 Franco Pellegrini , Giulio Biroli

We show how a Hopfield network with modifiable recurrent connections undergoing slow Hebbian learning can extract the underlying geometry of an input space. First, we use a slow/fast analysis to derive an averaged system whose dynamics…

Neurons and Cognition · Quantitative Biology 2011-02-02 Mathieu N. Galtier , Olivier D. Faugeras , Paul C. Bressloff

It has been demonstrated that one of the most striking features of the nervous system, the so called 'plasticity' (i.e high adaptability at different structural levels) is primarily based on Hebbian learning which is a collection of…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 G. Szirtes , Zs. Palotai , A. Lorincz

The Hebbian unlearning algorithm, i.e. an unsupervised local procedure used to improve the retrieval properties in Hopfield-like neural networks, is numerically compared to a supervised algorithm to train a linear symmetric perceptron. We…

Disordered Systems and Neural Networks · Physics 2022-03-15 Marco Benedetti , Enrico Ventura , Enzo Marinari , Giancarlo Ruocco , Francesco Zamponi

Learning the evolution of real-time strategy (RTS) game is a challenging problem in artificial intelligent (AI) system. In this paper, we present a novel Hebbian learning method to extract the global feature of point sets in StarCraft II…

Neural and Evolutionary Computing · Computer Science 2022-10-04 Beomseok Kang , Harshit Kumar , Saurabh Dash , Saibal Mukhopadhyay

A fundamental aspect of learning in biological neural networks is the plasticity property which allows them to modify their configurations during their lifetime. Hebbian learning is a biologically plausible mechanism for modeling the…

Neural and Evolutionary Computing · Computer Science 2021-03-16 Anil Yaman , Giovanni Iacca , Decebal Constantin Mocanu , Matt Coler , George Fletcher , Mykola Pechenizkiy

To understand how deep learning works, it is crucial to understand the training dynamics of neural networks. Several interesting hypotheses about these dynamics have been made based on empirically observed phenomena, but there exists a…

Machine Learning · Statistics 2021-11-16 Nikhil Ghosh , Song Mei , Bin Yu

Advancements in artificial intelligence call for a deeper understanding of the fundamental mechanisms underlying deep learning. In this work, we propose a theoretical framework to analyze learning dynamics through the lens of dynamical…

Machine Learning · Computer Science 2025-10-13 Yuchen Lin , Yong Zhang , Sihan Feng , Hong Zhao

Despite the widespread practical success of deep learning methods, our theoretical understanding of the dynamics of learning in deep neural networks remains quite sparse. We attempt to bridge the gap between the theory and practice of deep…

Neural and Evolutionary Computing · Computer Science 2014-02-20 Andrew M. Saxe , James L. McClelland , Surya Ganguli

Deep learning networks generally use non-biological learning methods. By contrast, networks based on more biologically plausible learning, such as Hebbian learning, show comparatively poor performance and difficulties of implementation.…

Neural and Evolutionary Computing · Computer Science 2021-11-02 Thomas Miconi

In many complex systems, elementary units live in a chaotic environment and need to adapt their strategies to perform a task, by extracting information from the environment and controlling the feedback loop on it. One of the main example of…

Disordered Systems and Neural Networks · Physics 2023-09-26 Samantha J. Fournier , Pierfrancesco Urbani

We propose to address the issue of sample efficiency, in Deep Convolutional Neural Networks (DCNN), with a semi-supervised training strategy that combines Hebbian learning with gradient descent: all internal layers (both convolutional and…

Neural and Evolutionary Computing · Computer Science 2021-09-21 Gabriele Lagani , Fabrizio Falchi , Claudio Gennaro , Giuseppe Amato

On-line learning of a rule given by an N-dimensional Ising perceptron, is considered for the case when the student is constrained to take values in a discrete state space of size $L^N$. For L=2 no on-line algorithm can achieve a finite…

Condensed Matter · Physics 2007-05-23 W. Kinzel , R. Urbanczik

Features extracted from Deep Neural Networks (DNNs) have proven to be very effective in the context of Content Based Image Retrieval (CBIR). In recent work, biologically inspired \textit{Hebbian} learning algorithms have shown promises for…

Computer Vision and Pattern Recognition · Computer Science 2022-05-19 Gabriele Lagani , Davide Bacciu , Claudio Gallicchio , Fabrizio Falchi , Claudio Gennaro , Giuseppe Amato

Fully test-time adaptation aims to adapt the network model based on sequential analysis of input samples during the inference stage to address the cross-domain performance degradation problem of deep neural networks. We take inspiration…

Computer Vision and Pattern Recognition · Computer Science 2023-03-13 Yushun Tang , Ce Zhang , Heng Xu , Shuoshuo Chen , Jie Cheng , Luziwei Leng , Qinghai Guo , Zhihai He

In this paper, we aim at establishing an approximation theory and a learning theory of distribution regression via a fully connected neural network (FNN). In contrast to the classical regression methods, the input variables of distribution…

Machine Learning · Statistics 2023-07-10 Zhongjie Shi , Zhan Yu , Ding-Xuan Zhou

We consider dense, associative neural-networks trained by a teacher (i.e., with supervision) and we investigate their computational capabilities analytically, via statistical-mechanics of spin glasses, and numerically, via Monte Carlo…

Disordered Systems and Neural Networks · Physics 2023-08-16 Elena Agliari , Linda Albanese , Francesco Alemanno , Andrea Alessandrelli , Adriano Barra , Fosca Giannotti , Daniele Lotito , Dino Pedreschi

In this article we intoduce a novel stochastic Hebb-like learning rule for neural networks that is neurobiologically motivated. This learning rule combines features of unsupervised (Hebbian) and supervised (reinforcement) learning and is…

Disordered Systems and Neural Networks · Physics 2009-11-11 Frank Emmert-Streib