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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

We introduce a three-dimensional vectorial extension of the Hopfield associative-memory model in which each neuron is a unit vector on $S^2$ and synaptic couplings are $3\times 3$ blocks generated through a vectorial Hebbian rule. The…

Disordered Systems and Neural Networks · Physics 2025-12-10 F. Gallavotti , A. Zaccone

Theories and models of working memory (WM) were at least since the mid-1990s dominated by the persistent activity hypothesis. The past decade has seen rising concerns about the shortcomings of sustained activity as the mechanism for…

Neurons and Cognition · Quantitative Biology 2023-04-14 Anders Lansner , Florian Fiebig , Pawel Herman

The standard consolidation theory states that short-term memories located in the hippocampus enable the consolidation of long-term memories in the neocortex. In other words, the neocortex slowly learns long-term memories with a transient…

Neurons and Cognition · Quantitative Biology 2024-04-05 Lisa Blum Moyse , Hugues Berry

When someone mentions the name of a known person we immediately recall her face and possibly many other traits. This is because we possess the so-called associative memory, that is the ability to correlate different memories to the same…

Neurons and Cognition · Quantitative Biology 2010-08-26 Yuriy V. Pershin , Massimiliano Di Ventra

Transformer architectures have achieved state-of-the-art results on a variety of sequence modeling tasks. However, their attention mechanism comes with a quadratic complexity in sequence lengths, making the computational overhead…

Computation and Language · Computer Science 2022-06-03 Hao Peng , Jungo Kasai , Nikolaos Pappas , Dani Yogatama , Zhaofeng Wu , Lingpeng Kong , Roy Schwartz , Noah A. Smith

We study the problem of learning associative memory -- a system which is able to retrieve a remembered pattern based on its distorted or incomplete version. Attractor networks provide a sound model of associative memory: patterns are stored…

Machine Learning · Statistics 2021-04-21 Sergey Bartunov , Jack W Rae , Simon Osindero , Timothy P Lillicrap

We propose a new self-organizing mechanism behind the emergence of memory in which temporal sequences of stimuli are transformed into spatial activity patterns. In particular, the memory emerges despite the absence of temporal correlations…

Disordered Systems and Neural Networks · Physics 2009-11-07 Konstantin Klemm , Preben Alstrom

Episodic memory plays a crucial role in various cognitive processes, such as the ability to mentally recall past events. While cognitive science emphasizes the significance of spatial context in the formation and retrieval of episodic…

Machine Learning · Computer Science 2024-03-04 Junmo Cho , Jaesik Yoon , Sungjin Ahn

The Entropic Associative Memory holds objects in a 2D relation or ``memory plane'' using a finite table as the medium. Memory objects are stored by reinforcing simultaneously the cells used by the cue, implementing a form of Hebb's learning…

Computer Vision and Pattern Recognition · Computer Science 2024-11-06 Rafael Morales , Luis A. Pineda

A gauge model of neural network is introduced, which resembles the Z(2) Higgs lattice gauge theory of high-energy physics. It contains a neuron variable $S_x = \pm 1$ on each site $x$ of a 3D lattice and a synaptic-connection variable…

Disordered Systems and Neural Networks · Physics 2009-11-07 Motohiro Kemuriyama , Tetsuo Matsui , Kazuhiko Sakakibara

Cognitive ageing seems to be a story of global degradation. As one ages there are a number of physical, chemical and biological changes that take place. Therefore it is logical to assume that the brain is no exception to this phenomenon.…

Adaptation and Self-Organizing Systems · Physics 2014-08-07 Sakyasingha Dasgupta

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

It is commonly assumed that a specific testing occasion (task, design, procedure, etc.) provides insights that generalise beyond that occasion. This assumption is infrequently carefully tested in data. We develop a statistically principled…

Applications · Statistics 2020-03-27 Laura Wall , David Gunawan , Scott D. Brown , Minh-Ngoc Tran , Robert Kohn , Guy E. Hawkins

Qubit networks with long-range interactions inspired by the Hebb rule can be used as quantum associative memories. Starting from a uniform superposition, the unitary evolution generated by these interactions drives the network through a…

Quantum Physics · Physics 2009-11-13 M. Cristina Diamantini , Carlo A. Trugenberger

Networks of interconnected neurons communicating through spiking signals offer the bedrock of neural computations. Our brains spiking neural networks have the computational capacity to achieve complex pattern recognition and cognitive…

Neural and Evolutionary Computing · Computer Science 2024-12-06 Naresh Ravichandran , Anders Lansner , Pawel Herman

The computational complexity of the self-attention mechanism in Transformer models significantly limits their ability to generalize over long temporal durations. Memory-augmentation, or the explicit storing of past information in external…

Computation and Language · Computer Science 2022-11-29 Omri Raccah , Phoebe Chen , Ted L. Willke , David Poeppel , Vy A. Vo

A toy model of a neural network in which both Hebbian learning and reinforcement learning occur is studied. The problem of `path interference', which makes that the neural net quickly forgets previously learned input-output relations is…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. J. C. Bosman , W. A. van Leeuwen , B. Wemmenhove

We investigate the onset of a not-decaying asymptotic behavior of temporal magnetic correlations in the Hubbard model in infinite dimensions. This long-term memory feature of dynamical spin correlations can be precisely quantified by…

Strongly Correlated Electrons · Physics 2022-06-08 Clemens Watzenböck , Martina Fellinger , Karsten Held , Alessandro Toschi

Associative memory and probabilistic modeling are two fundamental topics in artificial intelligence. The first studies recurrent neural networks designed to denoise, complete and retrieve data, whereas the second studies learning and…