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The state space of a conventional Hopfield network typically exhibits many different attractors of which only a small subset satisfy constraints between neurons in a globally optimal fashion. It has recently been demonstrated that combining…

Adaptation and Self-Organizing Systems · Physics 2014-09-02 Alexander Woodward , Tom Froese , Takashi Ikegami

Rapidly learning from ongoing experiences and remembering past events with a flexible memory system are two core capacities of biological intelligence. While the underlying neural mechanisms are not fully understood, various evidence…

Neural and Evolutionary Computing · Computer Science 2023-02-08 Yu Duan , Zhongfan Jia , Qian Li , Yi Zhong , Kaisheng Ma

We study analytically the effect of metrically structured connectivity on the behavior of autoassociative networks. We focus on three simple rate-based model neurons: threshold-linear, binary or smoothly saturating units. For a connectivity…

Disordered Systems and Neural Networks · Physics 2009-11-11 Yasser Roudi , Alessandro Treves

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

The brain learns abstract representations of high-dimensional sensory input, but the plasticity rules that enable such learning are unknown. We study biologically plausible algorithms on the Random Hierarchy Model (RHM), an artificial…

Machine Learning · Computer Science 2026-05-19 Ariane Delrocq , Wu S. Zihan , Guillaume Bellec , Wulfram Gerstner

Significant success has been reported recently using deep neural networks for classification. Such large networks can be computationally intensive, even after training is over. Implementing these trained networks in hardware chips with a…

Machine Learning · Statistics 2013-10-25 Daniel Soudry , Ron Meir

Hebbian synaptic plasticity inevitably leads to interference and forgetting when different, overlapping memory patterns are sequentially stored in the same network. Recent work on artificial neural networks shows that an…

Neurons and Cognition · Quantitative Biology 2018-07-16 Michael Deistler , Martino Sorbaro , Michael E. Rule , Matthias H. Hennig

Hopfield neural networks are a possible basis for modelling associative memory in living organisms. After summarising previous studies in the field, we take a new look at learning rules, exhibiting them as descent-type algorithms for…

Neural and Evolutionary Computing · Computer Science 2020-10-06 Pavel Tolmachev , Jonathan H. Manton

It is generally assumed that the brain uses something akin to sparse distributed representations. These representations, however, are high-dimensional and consequently they affect classification performance of traditional Machine Learning…

Neural and Evolutionary Computing · Computer Science 2022-08-29 Maria Osório , Luís Sa-Couto , Andreas Wichert

We propose a method to incrementally learn an embedding space over the domain of network architectures, to enable the careful selection of architectures for evaluation during compressed architecture search. Given a teacher network, we…

Computer Vision and Pattern Recognition · Computer Science 2019-04-26 Shengcao Cao , Xiaofang Wang , Kris M. Kitani

Reservoir computing is a powerful tool to explain how the brain learns temporal sequences, such as movements, but existing learning schemes are either biologically implausible or too inefficient to explain animal performance. We show that a…

Neurons and Cognition · Quantitative Biology 2019-10-24 Roman Pogodin , Dane Corneil , Alexander Seeholzer , Joseph Heng , Wulfram Gerstner

How can neural networks learn to efficiently represent complex and high-dimensional inputs via local plasticity mechanisms? Classical models of representation learning assume that input weights are learned via pairwise Hebbian-like…

Neurons and Cognition · Quantitative Biology 2022-10-04 Fabian Alexander Mikulasch , Lucas Rudelt , Viola Priesemann

The brain modifies its synaptic strengths during learning in order to better adapt to its environment. However, the underlying plasticity rules that govern learning are unknown. Many proposals have been suggested, including Hebbian…

Neurons and Cognition · Quantitative Biology 2020-12-09 Aran Nayebi , Sanjana Srivastava , Surya Ganguli , Daniel L. K. Yamins

Interest in biologically inspired alternatives to backpropagation is driven by the desire to both advance connections between deep learning and neuroscience and address backpropagation's shortcomings on tasks such as online, continual…

Neural and Evolutionary Computing · Computer Science 2020-06-18 Jack Lindsey , Ashok Litwin-Kumar

A recent series of theoretical works showed that the dynamics of neural networks with a certain initialisation are well-captured by kernel methods. Concurrent empirical work demonstrated that kernel methods can come close to the performance…

Machine Learning · Computer Science 2021-06-11 Maria Refinetti , Sebastian Goldt , Florent Krzakala , Lenka Zdeborová

The number of parameters in state of the art neural networks has drastically increased in recent years. This surge of interest in large scale neural networks has motivated the development of new distributed training strategies enabling such…

Machine Learning · Computer Science 2022-07-11 Aidan N. Gomez , Oscar Key , Kuba Perlin , Stephen Gou , Nick Frosst , Jeff Dean , Yarin Gal

The gap between the huge volumes of data needed to train artificial neural networks and the relatively small amount of data needed by their biological counterparts is a central puzzle in machine learning. Here, inspired by biological…

Disordered Systems and Neural Networks · Physics 2022-04-19 Miriam Aquaro , Francesco Alemanno , Ido Kanter , Fabrizio Durante , Elena Agliari , Adriano Barra

Exact solutions for the learning problem of autoassociative networks with binary couplings are determined by a new method. The use of a branch-and-bound algorithm leads to a substantial saving of computational time compared with complete…

Disordered Systems and Neural Networks · Physics 2009-10-30 G. Milde , S. Kobe

We present a mathematical analysis of the effects of Hebbian learning in random recurrent neural networks, with a generic Hebbian learning rule including passive forgetting and different time scales for neuronal activity and learning…

Chaotic Dynamics · Physics 2008-04-07 Benoit Siri , Hugues Berry , Bruno Cessac , Bruno Delord , Mathias Quoy

Backpropagation of error (backprop) is a powerful algorithm for training machine learning architectures through end-to-end differentiation. However, backprop is often criticised for lacking biological plausibility. Recently, it has been…

Machine Learning · Computer Science 2020-10-07 Beren Millidge , Alexander Tschantz , Christopher L. Buckley
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