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We investigate learning of the online local update rules for neural activations (bodies) and weights (synapses) from scratch. We represent the states of each weight and activation by small vectors, and parameterize their updates using…

Machine Learning · Computer Science 2020-03-09 Karol Gregor

We derive the Gardner storage capacity for associative networks of threshold linear units, and show that with Hebbian learning they can operate closer to such Gardner bound than binary networks, and even surpass it. This is largely achieved…

Disordered Systems and Neural Networks · Physics 2021-01-13 Francesca Schönsberg , Yasser Roudi , Alessandro Treves

On the basis of the general form for the energy needed to adapt the connection strengths of a network in which learning takes place, a local learning rule is found for the changes of the weights. This biologically realizable learning rule…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Heerema , W. A. van Leeuwen

Recent work has shown that biologically plausible Hebbian learning can be integrated with backpropagation learning (backprop), when training deep convolutional neural networks. In particular, it has been shown that Hebbian learning can be…

Computer Vision and Pattern Recognition · Computer Science 2020-12-23 Gabriele Lagani , Giuseppe Amato , Fabrizio Falchi , Claudio Gennaro

Lifelong learning and adaptability are two defining aspects of biological agents. Modern reinforcement learning (RL) approaches have shown significant progress in solving complex tasks, however once training is concluded, the found…

Neural and Evolutionary Computing · Computer Science 2022-04-20 Elias Najarro , Sebastian Risi

We consider the problem of neural association for a network of non-binary neurons. Here, the task is to first memorize a set of patterns using a network of neurons whose states assume values from a finite number of integer levels. Later,…

Neural and Evolutionary Computing · Computer Science 2013-02-18 Amir Hesam Salavati , K. Raj Kumar , Amin Shokrollahi

We improve the theoretical and empirical performance of neural-network(NN)-based active learning algorithms for the non-parametric streaming setting. In particular, we introduce two regret metrics by minimizing the population loss that are…

Machine Learning · Computer Science 2023-01-18 Yikun Ban , Yuheng Zhang , Hanghang Tong , Arindam Banerjee , Jingrui He

Information measures are often used to assess the efficacy of neural networks, and learning rules can be derived through optimization procedures on such measures. In biological neural networks, computation is restricted by the amount of…

Neurons and Cognition · Quantitative Biology 2021-03-12 Dmytro Grytskyy , Renaud B. Jolivet

We investigate a recently proposed model for cortical computation which performs relational inference. It consists of several interconnected, structurally equivalent populations of leaky integrate-and-fire (LIF) neurons, which are trained…

Neural and Evolutionary Computing · Computer Science 2017-03-21 Johannes Thiele , Peter Diehl , Matthew Cook

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

Sequence memory is an essential attribute of natural and artificial intelligence that enables agents to encode, store, and retrieve complex sequences of stimuli and actions. Computational models of sequence memory have been proposed where…

Neural and Evolutionary Computing · Computer Science 2023-11-06 Hamza Tahir Chaudhry , Jacob A. Zavatone-Veth , Dmitry Krotov , Cengiz Pehlevan

We introduce and study a new model of interacting neural networks, incorporating the spatial dimension (e.g. position of neurons across the cortex) and some learning processes. The dynamic of each neural network is described via the elapsed…

Analysis of PDEs · Mathematics 2020-09-03 Delphine Salort , Nicolas Torres

An important open question in computational neuroscience is how various spatially tuned neurons, such as place cells, are used to support the learning of reward-seeking behavior of an animal. Existing computational models either lack…

Neurons and Cognition · Quantitative Biology 2022-05-18 Yuanxiang Gao

We consider the Hopfield neural network as a model of associative memory and we define its neuronal interaction matrix $\mathbf{J}$ as a function of a set of $K \times M$ binary vectors $\{\mathbf{\xi}^{\mu, A} \}_{\mu=1,...,K}^{A=1,...,M}$…

Mathematical Physics · Physics 2025-05-16 Elena Agliari , Domenico Luongo , Alberto Fachechi

Compared to classical deep neural networks its binarized versions can be useful for applications on resource-limited devices due to their reduction in memory consumption and computational demands. In this work we study deep neural networks…

Optimization and Control · Mathematics 2021-10-26 Jannis Kurtz , Bubacarr Bah

A set of fixed points of the Hopfield type neural network was under investigation. Its connection matrix is constructed with regard to the Hebb rule from a highly symmetric set of the memorized patterns. Depending on the external parameter…

Biological Physics · Physics 2007-05-23 Hong-Liang Lu , Xi-Jun Qiu

The \emph{Daydreaming} algorithm was proposed as a learning rule that simultaneously reinforces stored patterns and suppresses spurious attractors to improve the storage capacity of the Hopfield model. Its effectiveness has been reported…

Disordered Systems and Neural Networks · Physics 2026-04-22 Mikiya Doi , Masayuki Ohzeki , Federico Ricci-Tersenghi

Intracortical brain-machine interfaces require decoders that adapt continuously to neural signal instability while operating within strict memory budgets. We introduce a dual-timescale Hebbian accumulator learning rule for spiking neural…

Signal Processing · Electrical Eng. & Systems 2026-04-10 Sriram V. C. Nallani , Sahil Shah

Intelligent wireless networks have long been expected to have self-configuration and self-optimization capabilities to adapt to various environments and demands. In this paper, we develop a novel distributed hierarchical deep reinforcement…

Signal Processing · Electrical Eng. & Systems 2023-12-06 Kaiwen Yu , Chonghao Zhao , Gang Wu , Geoffrey Ye Li

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