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The temporal activity of many biological systems, including neural circuits, exhibits fluctuations simultaneously varying over a large range of timescales. The mechanisms leading to this temporal heterogeneity are yet unknown. Here we show…

无序系统与神经网络 · 物理学 2022-08-03 Merav Stern , Nicolae Istrate , Luca Mazzucato

Short-term memory is essential for cognitive processing, yet our understanding of its neural mechanisms remains unclear. Neuroscience has long focused on how sequential activity patterns, where neurons fire one after another within large…

Established recurrent neural networks are well-suited to solve a wide variety of prediction tasks involving discrete sequences. However, they do not perform as well in the task of dynamical system identification, when dealing with…

机器学习 · 计算机科学 2019-11-22 Thomas Demeester

Biological neural networks are notoriously hard to model due to their stochastic behavior and high dimensionality. We tackle this problem by constructing a dynamical model of both the expectations and covariances of the fractions of active…

神经元与认知 · 定量生物学 2025-02-25 Vincent Painchaud , Patrick Desrosiers , Nicolas Doyon

Representations of sequential data are commonly based on the assumption that observed sequences are realizations of an unknown underlying stochastic process, where the learning problem includes determination of the model parameters. In this…

机器学习 · 统计学 2019-09-17 Ronny Hug , Wolfgang Hübner , Michael Arens

Recent advancements in recurrent neural network (RNN) research have demonstrated the superiority of utilizing multiscale structures in learning temporal representations of time series. Currently, most of multiscale RNNs use fixed scales,…

机器学习 · 计算机科学 2019-02-18 Hao Hu , Liqiang Wang , Guo-Jun Qi

Humans can learn several tasks in succession with minimal mutual interference but perform more poorly when trained on multiple tasks at once. The opposite is true for standard deep neural networks. Here, we propose novel computational…

神经元与认知 · 定量生物学 2022-09-07 Timo Flesch , David G. Nagy , Andrew Saxe , Christopher Summerfield

We introduce and study a new model of interacting neural networks, incorporating the spatial dimension (e.g. position of neurons across the cortex) and some learning processes. The dynamic of each neural network is described via the elapsed…

偏微分方程分析 · 数学 2020-09-03 Delphine Salort , Nicolas Torres

We describe a novel method for modeling non-stationary multivariate time series, with time-varying conditional dependencies represented through dynamic networks. Our proposed approach combines traditional multi-scale modeling and network…

统计方法学 · 统计学 2017-12-25 Xinyu Kang , Apratim Ganguly , Eric D. Kolaczyk

Complex systems are often characterized by the interplay of multiple interconnected dynamical processes operating across a range of temporal scales. This phenomenon is widespread in both biological and artificial scenarios, making it…

统计力学 · 物理学 2025-09-08 Giorgio Nicoletti , Daniel M. Busiello

Working memory is a cognitive function involving the storage and manipulation of latent information over brief intervals of time, thus making it crucial for context-dependent computation. Here, we use a top-down modeling approach to examine…

神经元与认知 · 定量生物学 2021-11-17 Elham Ghazizadeh , ShiNung Ching

Recurrent neural networks (RNNs) have been used extensively and with increasing success to model various types of sequential data. Much of this progress has been achieved through devising recurrent units and architectures with the…

机器学习 · 统计学 2017-03-06 Yacine Jernite , Edouard Grave , Armand Joulin , Tomas Mikolov

We consider a simple but important class of metastable discrete time Markov chains, which we call perturbed Markov chains. Basically, we assume that the transition matrices depend on a parameter $\varepsilon$, and converge as $\varepsilon$.…

概率论 · 数学 2014-12-23 Volker Betz , Stéphane Le Roux

In this work we present a novel recurrent neural network architecture designed to model systems characterized by multiple characteristic timescales in their dynamics. The proposed network is composed by several recurrent groups of neurons…

神经与进化计算 · 计算机科学 2017-01-19 Filippo Maria Bianchi , Michael Kampffmeyer , Enrico Maiorino , Robert Jenssen

In evolving complex systems such as air traffic and social organizations, collective effects emerge from their many components' dynamic interactions. While the dynamic interactions can be represented by temporal networks with nodes and…

社会与信息网络 · 计算机科学 2017-09-21 Tiago P. Peixoto , Martin Rosvall

We construct and analyze a rate-based neural network model in which self-interacting units represent clusters of neurons with strong local connectivity and random inter-unit connections reflect long-range interactions. When sufficiently…

无序系统与神经网络 · 物理学 2015-06-22 Merav Stern , Haim Sompolinsky , L. F. Abbott

Learning to produce spatiotemporal sequences is a common task that the brain has to solve. The same neural substrate may be used by the brain to produce different sequential behaviours. The way the brain learns and encodes such tasks…

神经元与认知 · 定量生物学 2020-07-01 Amadeus Maes , Mauricio Barahona , Claudia Clopath

Recurrent neural networks have gained widespread use in modeling sequential data. Learning long-term dependencies using these models remains difficult though, due to exploding or vanishing gradients. In this paper, we draw connections…

机器学习 · 统计学 2019-02-27 Bo Chang , Minmin Chen , Eldad Haber , Ed H. Chi

Neural Processes combine the strengths of neural networks and Gaussian processes to achieve both flexible learning and fast prediction in stochastic processes. However, a large class of problems comprises underlying temporal dependency…

机器学习 · 计算机科学 2019-10-29 Gautam Singh , Jaesik Yoon , Youngsung Son , Sungjin Ahn

We study learning of recurrent neural networks that produce temporal sequences consisting of the concatenation of re-usable "motifs". In the context of neuroscience or robotics, these motifs would be the motor primitives from which complex…

机器学习 · 计算机科学 2020-06-25 Laureline Logiaco , G. Sean Escola