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Little is known theoretically about the associative memory capabilities of neural networks in which information is encoded not only in the mean firing rate but also in the timing of firings. Particularly, in the case that the fraction of…

无序系统与神经网络 · 物理学 2009-10-31 Toshio Aoyagi , Masaki Nomura

Associative memory models retrieve stored information through content-based addressing, mimicking the neural processes of animal brains. The classical Hopfield network-based models store memories as vectors of discrete values and have good…

神经元与认知 · 定量生物学 2026-01-21 Nurani Rajagopal Rohan , V. Srinivasa Chakravarthy , Sayan Gupta

Studies have been made on the phase transition phenomena of an oscillator network model based on a standard Hebb learning rule like the Hopfield model. The relative phase informations---the in-phase and anti-phase, can be embedded in the…

无序系统与神经网络 · 物理学 2014-09-08 Toru Aonishi

Associative memory systems enable content-addressable storage and retrieval of patterns, a capability central to biological neural computation and artificial intelligence. Classical implementations such as Hopfield networks face fundamental…

神经与进化计算 · 计算机科学 2026-04-03 Arie Ogranovich , Taosha Guo , Arvind R. Venkatakrishnan , Madelyn Shapiro , Francesco Bullo , Fabio Pasqualetti

We analyse the storage and retrieval capacity in a recurrent neural network of spiking integrate and fire neurons. In the model we distinguish between a learning mode, during which the synaptic connections change according to a Spike-Timing…

神经元与认知 · 定量生物学 2012-10-29 Ferdinando Giacco , Silvia Scarpetta

We study a model of spiking neurons, with recurrent connections that result from learning a set of spatio-temporal patterns with a spike-timing dependent plasticity rule and a global inhibition. We investigate the ability of the network to…

神经元与认知 · 定量生物学 2020-04-22 S. Scarpetta , A. de Candia

We study the storage and retrieval of phase-coded patterns as stable dynamical attractors in recurrent neural networks, for both an analog and a integrate-and-fire spiking model. The synaptic strength is determined by a learning rule based…

神经元与认知 · 定量生物学 2010-09-08 S. Scarpetta , A. de Candia , F. Giacco

Recent generalizations of the Hopfield model of associative memories are able to store a number $P$ of random patterns that grows exponentially with the number $N$ of neurons, $P=\exp(\alpha N)$. Besides the huge storage capacity, another…

无序系统与神经网络 · 物理学 2024-02-14 Carlo Lucibello , Marc Mézard

The brain can reproduce memories from partial data; this ability is critical for memory recall. The process of memory recall has been studied using auto-associative networks such as the Hopfield model. This kind of model reliably converges…

神经元与认知 · 定量生物学 2016-05-18 James P. Roach , Leonard M Sander , Michal R. Zochowski

We study the storage of multiple phase-coded patterns as stable dynamical attractors in recurrent neural networks with sparse connectivity. To determine the synaptic strength of existent connections and store the phase-coded patterns, we…

神经元与认知 · 定量生物学 2015-05-28 Siliva Scarpetta , Ferdinando Giacco , Antonio de Candia

It is well known that a sparsely coded network in which the activity level is extremely low has intriguing equilibrium properties. In the present work, we study the dynamical properties of a neural network designed to store sparsely coded…

无序系统与神经网络 · 物理学 2009-10-31 Katsunori Kitano , Toshio Aoyagi

The standard Hopfield model for associative neural networks accounts for biological Hebbian learning and acts as the harmonic oscillator for pattern recognition, however its maximal storage capacity is $\alpha \sim 0.14$, far from the…

神经与进化计算 · 计算机科学 2018-10-30 Alberto Fachechi , Elena Agliari , Adriano Barra

We study the collective dynamics of a Leaky Integrate and Fire network in which precise relative phase relationship of spikes among neurons are stored, as attractors of the dynamics, and selectively replayed at differentctime scales. Using…

神经元与认知 · 定量生物学 2012-10-26 Silvia Scarpetta , Ferdinando Giacco

Dense associative memory, a fundamental instance of modern Hopfield networks, can store a large number of memory patterns as equilibrium states of recurrent networks. While the stationary-state storage capacity has been investigated, its…

无序系统与神经网络 · 物理学 2025-10-29 Kazushi Mimura , Jun'ichi Takeuchi , Yuto Sumikawa , Yoshiyuki Kabashima , Anthony C. C. Coolen

We study associative memory of an oscillator neural network with distributed native frequencies. The model is based on the use of the Hebb learning rule with random patterns ($\xi_i^{\mu}=\pm 1$), and the distribution function of native…

无序系统与神经网络 · 物理学 2009-10-31 Michiko Yamana , Masatoshi Shiino , Masahiko Yoshioka

Dense Associative Memories or Modern Hopfield Networks have many appealing properties of associative memory. They can do pattern completion, store a large number of memories, and can be described using a recurrent neural network with a…

神经与进化计算 · 计算机科学 2021-07-29 Dmitry Krotov

We present a Hopfield-like autoassociative network for memories representing examples of concepts. Each memory is encoded by two activity patterns with complementary properties. The first is dense and correlated across examples within…

神经元与认知 · 定量生物学 2023-08-28 Louis Kang , Taro Toyoizumi

We study associative memory based on temporal coding in which successful retrieval is realized as an entrainment in a network of simple phase oscillators with distributed natural frequencies under the influence of white noise. The memory…

无序系统与神经网络 · 物理学 2009-10-31 Masahiko Yoshioka , Masatoshi Shiino

We propose a network of oscillators to retrieve given patterns in which the oscillators keep a fixed phase relationship with one another. In this description, the phase and the amplitude of the oscillators can be regarded as the timing and…

adap-org · 物理学 2009-10-22 Toshio Aoyagi

Understanding the memory capacity of neural networks remains a challenging problem in implementing artificial intelligence systems. In this paper, we address the notion of capacity with respect to Hopfield networks and propose a dynamic…

神经与进化计算 · 计算机科学 2017-09-19 Saarthak Sarup , Mingoo Seok
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