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Humans learn and form memories in stochastic environments. Auto-associative memory systems model these processes by storing patterns and later recovering them from corrupted versions. Here, memories are learned by associating each pattern…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Qin He , Jing Shuang Li

We introduce the delta-homology model of memory, a unified framework in which recall, learning, and prediction emerge from cycle closure, the completion of topologically constrained trajectories within the brain's latent manifold. A…

Machine Learning · Computer Science 2025-10-21 Xin Li

We consider $L$-directional associative memories, composed of $L$ Hopfield networks, displaying imitative Hebbian intra-network interactions and anti-imitative Hebbian inter-network interactions, where couplings are built over a set of…

Disordered Systems and Neural Networks · Physics 2025-04-11 Elena Agliari , Andrea Alessandrelli , Paulo Duarte Mourao , Alberto Fachechi

Brain-inspired computing aims to mimic cognitive functions like associative memory, the ability to recall complete patterns from partial cues. Memristor technology offers promising hardware for such neuromorphic systems due to its potential…

Machine Learning · Computer Science 2025-05-20 Chengping He , Mingrui Jiang , Keyi Shan , Szu-Hao Yang , Zefan Li , Shengbo Wang , Giacomo Pedretti , Jim Ignowski , Can Li

Repeating patterns of spike sequences from a neuronal network have been proposed to be useful in the reconstruction of the network topology. Reverberations in a physiologically realistic model with various physical connection topologies…

Neurons and Cognition · Quantitative Biology 2014-07-15 Hao Song , Chun-Chung Chen , Jyh-Jang Sun , Pik-Yin Lai , C. K. Chan

We propose a two-stage memory retrieval dynamics for modern Hopfield models, termed $\mathtt{U\text{-}Hop}$, with enhanced memory capacity. Our key contribution is a learnable feature map $\Phi$ which transforms the Hopfield energy function…

Machine Learning · Computer Science 2024-11-12 Dennis Wu , Jerry Yao-Chieh Hu , Teng-Yun Hsiao , Han Liu

Spiking neural networks play an important role in brain-like neuromorphic computations and in studying working mechanisms of neural circuits. One drawback of training a large scale spiking neural network is that updating all weights is…

Neurons and Cognition · Quantitative Biology 2024-08-15 Zhanghan Lin , Haiping Huang

The standard model of memory consolidation foresees that memories are initially recorded in the hippocampus, while features that capture higher-level generalisations of data are created in the cortex, where they are stored for a possibly…

Neurons and Cognition · Quantitative Biology 2017-06-20 Alessandro Fontana

In the field of image recognition, spiking neural networks (SNNs) have achieved performance comparable to conventional artificial neural networks (ANNs). In such applications, SNNs essentially function as traditional neural networks with…

Neural and Evolutionary Computing · Computer Science 2025-05-27 Enqi Zhang

In natural vision, feedback connections support versatile visual inference capabilities such as making sense of the occluded or noisy bottom-up sensory information or mediating pure top-down processes such as imagination. However, the…

Neurons and Cognition · Quantitative Biology 2023-11-01 Tahereh Toosi , Elias B. Issa

The associative memory model is a typical neural network model, which can store discretely distributed fixed-point attractors as memory patterns. When the network stores the memory patterns extensively, however, the model has other…

Neurons and Cognition · Quantitative Biology 2014-11-27 Shin Murata , Yosuke Otsubo , Kenji Nagata , Masato Okada

Simultaneous recordings from N electrodes generate N-dimensional time series that call for efficient representations to expose relevant aspects of the underlying dynamics. Binning the time series defines neural activity vectors that…

Neurons and Cognition · Quantitative Biology 2017-07-05 Gabriel Baglietto , Guido Gigante , Paolo Del Giudice

Spintronic devices offer a promising avenue for the development of nanoscale, energy-efficient artificial neurons for neuromorphic computing. It has previously been shown that with antiferromagnetic (AFM) oscillators, ultra-fast spiking…

Neural and Evolutionary Computing · Computer Science 2024-07-31 Hannah Bradley , Steven Louis , Andrei Slavin , Vasyl Tyberkevych

Although recent neurophysiological experiments suggest that synchronous neural activity is involved in some perceptual and cognitive processes, the functional role of such coherent neuronal behavior is not well understood. As a first step…

Neurons and Cognition · Quantitative Biology 2007-05-23 Takaaki Aoki , Toshio Aoyagi

Codifying memories is one of the fundamental problems of modern Neuroscience. The functional mechanisms behind this phenomenon remain largely unknown. Experimental evidence suggests that some of the memory functions are performed by…

Neurons and Cognition · Quantitative Biology 2022-05-17 Ivan Y. Tyukin , Alexander N. Gorban , Carlos Calvo , Julia Makarova , Valeri A. Makarov

Processing sequential inputs is a fundamental brain function, underlying tasks such as sensory perception, language, and motor control. A challenge in sequence processing is to represent not only the order of events, but also their precise…

Neurons and Cognition · Quantitative Biology 2026-05-22 Melissa Lober , Younes Bouhadjar , Markus Diesmann , Tom Tetzlaff

It has been recently shown that a learning transition happens when a Hopfield Network stores examples generated as superpositions of random features, where new attractors corresponding to such features appear in the model. In this work we…

Disordered Systems and Neural Networks · Physics 2024-07-09 Silvio Kalaj , Clarissa Lauditi , Gabriele Perugini , Carlo Lucibello , Enrico M. Malatesta , Matteo Negri

Spiking neural networks (SNNs), the models inspired by the mechanisms of real neurons in the brain, transmit and represent information by employing discrete action potentials or spikes. The sparse, asynchronous properties of information…

Neural and Evolutionary Computing · Computer Science 2024-09-13 Yongbo Zhang , Katsuma Inoue , Mitsumasa Nakajima , Toshikazu Hashimoto , Yasuo Kuniyoshi , Kohei Nakajima

How spiking neuronal networks encode memories in their different time and spatial scales constitute a fundamental topic in neuroscience and neuro-inspired engineering. Much attention has been paid to large networks and long-term memory, for…

Neurons and Cognition · Quantitative Biology 2023-03-23 Fabio Schittler Neves , Marc Timme

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
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