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Rhythmic activities that alternate between coherent and incoherent phases are ubiquitous in chemical, ecological, climate, or neural systems. Despite their importance, general mechanisms for their emergence are little understood. In order…

适应与自组织系统 · 物理学 2022-06-01 Max Thiele , Rico Berner , Peter A. Tass , Eckehard Schöll , Serhiy Yanchuk

Functional networks provide a topological description of activity patterns in the brain, as they stem from the propagation of neural activity on the underlying anatomical or structural network of synaptic connections. This latter is well…

无序系统与神经网络 · 物理学 2021-02-11 Ali Safari , Paolo Moretti , Ibai Diez , Jesus M. Cortes , Miguel Ángel Muñoz

We propose a general framework to extract microscopic interactions from raw configurations with deep neural networks. The approach replaces the modeling Hamiltonian by the neural networks, in which the interaction is encoded. It can be…

计算物理 · 物理学 2020-08-19 Lingxiao Wang , Yin Jiang , Kai Zhou

Neural activity exhibits a vast range of timescales that can be several fold larger than the membrane time constant of individual neurons. Two types of mechanisms have been proposed to explain this conundrum. One possibility is that large…

神经元与认知 · 定量生物学 2019-03-26 Manuel Beiran , Srdjan Ostojic

For the retrieval dynamics of sparsely coded attractor associative memory models with synaptic noise the inclusion of a macroscopic time-dependent threshold is studied. It is shown that if the threshold is chosen appropriately as a function…

无序系统与神经网络 · 物理学 2007-05-23 D. Bolle' , R. Heylen

We propose a hierarchically modular, dynamical neural network model whose architecture minimizes a specifically designed energy function and defines its temporal characteristics. The model has an internal and an external space that are…

神经元与认知 · 定量生物学 2026-04-16 Kazuyoshi Tsutsumi , Ernst Niebur

Recent studies have shown how spiking networks can learn complex functionality through error-correcting plasticity, but the resulting structures and dynamics remain poorly studied. To elucidate how these models may link to observed dynamics…

神经元与认知 · 定量生物学 2025-08-19 Jonas Oberste-Frielinghaus , Anno C. Kurth , Julian Göltz , Laura Kriener , Junji Ito , Mihai A. Petrovici , Sonja Grün

The rise in complexity of network data in neuroscience, social networks, and protein-protein interaction networks has been accompanied by several efforts to model and understand these data at different scales. A key multiscale network…

统计方法学 · 统计学 2025-03-04 Al-Fahad Al-Qadhi , Keith Levin , Vincent Lyzinski

An essential requirement for the representation of functional patterns in complex neural networks, such as the mammalian cerebral cortex, is the existence of stable regimes of network activation, typically arising from a limited parameter…

神经元与认知 · 定量生物学 2010-03-17 Marcus Kaiser , Claus C. Hilgetag

Training recurrent neuronal networks consisting of excitatory (E) and inhibitory (I) units with additive noise for working memory computation slows and diversifies inhibitory timescales, leading to improved task performance that is…

神经元与认知 · 定量生物学 2025-12-19 Thiparat Chotibut , Oleg Evnin , Weerawit Horinouchi

Nonlinear differential equations rarely admit closed-form solutions, thus requiring numerical time-stepping algorithms to approximate solutions. Further, many systems characterized by multiscale physics exhibit dynamics over a vast range of…

机器学习 · 计算机科学 2020-08-26 Yuying Liu , J. Nathan Kutz , Steven L. Brunton

Plasma systems exhibit complex multiscale dynamics, resolving which poses significant challenges for conventional numerical simulations. Machine learning (ML) offers an alternative by learning data-driven representations of these dynamics.…

等离子体物理 · 物理学 2025-03-04 Farbod Faraji , Maryam Reza

Recurrent neural networks (RNN) are capable of learning to encode and exploit activation history over an arbitrary timescale. However, in practice, state of the art gradient descent based training methods are known to suffer from…

机器学习 · 计算机科学 2016-02-29 Andrew J. R. Simpson

A complete self-control mechanism is proposed in the dynamics of neural networks through the introduction of a time-dependent threshold, determined in function of both the noise and the pattern activity in the network. Especially for…

统计力学 · 物理学 2009-10-31 D. R. C. Dominguez , D. Bolle

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

Typical methods for supervised sequence modeling are built upon the recurrent neural networks to capture temporal dependencies. One potential limitation of these methods is that they only model explicitly information interactions between…

计算机视觉与模式识别 · 计算机科学 2019-08-27 Canmiao Fu , Wenjie Pei , Qiong Cao , Chaopeng Zhang , Yong Zhao , Xiaoyong Shen , Yu-Wing Tai

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…

机器学习 · 计算机科学 2026-05-19 Ariane Delrocq , Wu S. Zihan , Guillaume Bellec , Wulfram Gerstner

In this paper we developed a hierarchical network model, called Hierarchical Prediction Network (HPNet), to understand how spatiotemporal memories might be learned and encoded in the recurrent circuits in the visual cortical hierarchy for…

神经与进化计算 · 计算机科学 2021-10-04 Jielin Qiu , Ge Huang , Tai Sing Lee

Understanding how multi-scale network structure influences circadian rhythms in the suprachiasmatic nucleus (SCN) is essential for uncovering the principles of rhythmic robustness and synchronization. Previous studies using synthetic SCN…

物理与社会 · 物理学 2026-03-10 Youhao Zhuo , Yingpeng Liu , Jiao Wu , Kesheng Xu , Muhua Zheng

A core challenge for the brain is to process information across various timescales. This could be achieved by a hierarchical organization of temporal processing through intrinsic mechanisms (e.g., recurrent coupling or adaptation), but…

神经元与认知 · 定量生物学 2024-01-18 Lucas Rudelt , Daniel González Marx , F. Paul Spitzner , Benjamin Cramer , Johannes Zierenberg , Viola Priesemann