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Neural networks that can capture key principles underlying brain computation offer exciting new opportunities for developing artificial intelligence and brain-like computing algorithms. Such networks remain biologically plausible while…

Neural and Evolutionary Computing · Computer Science 2025-01-10 Naresh Ravichandran , Anders Lansner , Pawel Herman

A resistive memory network that has no crossover wiring is proposed to overcome the hardware limitations to size and functional complexity that is associated with conventional analogue neural networks. The proposed memory network is based…

Artificial Intelligence · Computer Science 2012-01-31 Alex Pappachen James , Sima Dimitrijev

Dendrites are crucial structures for computation of an individual neuron. It has been shown that the dynamics of a biological neuron with dendrites can be approximated by artificial neural networks (ANN) with deep structure. However, it…

Neurons and Cognition · Quantitative Biology 2023-05-23 Jingyang Ma , Songting Li , Douglas Zhou

Uncovering the mechanisms behind long-term memory is one of the most fascinating open problems in neuroscience and artificial intelligence. Artificial associative memory networks have been used to formalize important aspects of biological…

Machine Learning · Statistics 2023-11-20 Luca Ambrogioni

Expressive efficiency refers to the relation between two architectures A and B, whereby any function realized by B could be replicated by A, but there exists functions realized by A, which cannot be replicated by B unless its size grows…

Machine Learning · Computer Science 2018-02-27 Or Sharir , Amnon Shashua

Associative memory architectures such as the Hopfield network have long been important conceptual and theoretical models for neuroscience and artificial intelligence. However, translating these abstract models into spiking neural networks…

Neurons and Cognition · Quantitative Biology 2025-07-02 William F. Podlaski , Christian K. Machens

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

The retrieval capabilities of associative neural networks can be impaired by different kinds of noise: the fast noise (which makes neurons more prone to failure), the slow noise (stemming from interference among stored memories), and…

Disordered Systems and Neural Networks · Physics 2020-12-10 Elena Agliari , Giordano De Marzo

Brains learn to represent information from a large set of stimuli, typically by weak supervision. Unsupervised learning is therefore a natural approach for exploring the design of biological neural networks and their computations.…

Neurons and Cognition · Quantitative Biology 2025-10-17 Roy Urbach , Elad Schneidman

Associative memory models are content-addressable memory systems fundamental to biological intelligence and are notable for their high interpretability. However, existing models evaluate the quality of retrieval based on proximity, which…

Machine Learning · Computer Science 2025-11-26 Shurong Wang , Yuqi Pan , Zhuoyang Shen , Meng Zhang , Hongwei Wang , Guoqi Li

Ever since the last two decades of the past century pioneering studies in the field of statistical physics had focused their efforts on developing models of neural networks that could display memory storage and retrieval. Though many…

Disordered Systems and Neural Networks · Physics 2023-05-16 Enrico Ventura

We consider the problem of training a neural network to store a set of patterns with maximal noise robustness. A solution, in terms of optimal weights and state update rules, is derived by training each individual neuron to perform either…

Neural and Evolutionary Computing · Computer Science 2024-07-24 Georgios Iatropoulos , Johanni Brea , Wulfram Gerstner

We study a simple extended model of oscillator neural networks capable of storing sparsely coded phase patterns, in which information is encoded both in the mean firing rate and in the timing of spikes. Applying the methods of statistical…

Disordered Systems and Neural Networks · Physics 2009-10-31 Masaki Nomura , Toshio Aoyagi

The demand for high-density data storage with ultrafast accessibility motivates the search for new memory implementations. Ideally such storage devices should be robust to input error and to unreliability of individual elements; furthermore…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. Chandra , L. B. Ioffe

Sequential learning involves learning tasks in a sequence, and proves challenging for most neural networks. Biological neural networks regularly conquer the sequential learning challenge and are even capable of transferring knowledge both…

Neural and Evolutionary Computing · Computer Science 2025-03-06 Hayden McAlister , Anthony Robins , Lech Szymanski

Based on recent work by Gripon and Berrou, we introduce a new model of an associative memory. We show that this model has an efficiency bounded away from 0 and is therefore significantly more effective than the well known Hopfield model. We…

Probability · Mathematics 2014-11-06 Judith Heusel , Matthias Löwe , Franck Vermet

Quantum neural networks form one pillar of the emergent field of quantum machine learning. Here, quantum generalisations of classical networks realizing associative memories - capable of retrieving patterns, or memories, from corrupted…

Quantum Physics · Physics 2025-03-28 Lukas Bödeker , Eliana Fiorelli , Markus Müller

In \cite{Hop82}, Hopfield introduced a \emph{Hebbian} learning rule based neural network model and suggested how it can efficiently operate as an associative memory. Studying random binary patterns, he also uncovered that, if a small…

Machine Learning · Statistics 2024-03-05 Mihailo Stojnic

We complement our previous work [arxiv: 0707.0565] with the full (non diluted) solution describing the stable states of an attractor network that stores correlated patterns of activity. The new solution provides a good fit of simulations of…

Disordered Systems and Neural Networks · Physics 2007-07-23 Emilio Kropff

Memories are stored, retained, and recollected through complex, coupled processes operating on multiple timescales. To understand the computational principles behind these intricate networks of interactions we construct a broad class of…

Neurons and Cognition · Quantitative Biology 2015-07-29 Marcus K. Benna , Stefano Fusi
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