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Fluid Dynamics problems are characterized by being multidimensional and nonlinear. Therefore, experiments and numerical simulations are complex and time-consuming. Motivated by this, the need arises to find new techniques to obtain data in…

流体动力学 · 物理学 2023-05-16 Paula Díaz , Adrián Corrochano , Manuel López-Martín , Soledad Le Clainche

Most of animal and human behavior occurs on time scales much longer than the response times of individual neurons. In many cases, it is plausible that these long time scales emerge from the recurrent dynamics of electrical activity in…

生物物理 · 物理学 2024-08-23 Xiaowen Chen , William Bialek

This article presents a method for recovering missing values in multidimensional time series. The method combines neural network technologies and an algorithm for searching snippets (behavioral patterns of a time series). It includes the…

人工智能 · 计算机科学 2023-12-13 Alexey Yurtin

Reconstructing interactions from observational data is a critical need for investigating natural biological networks, wherein network dimensionality (i.e. number of interacting components) is usually high and interactions are time-varying.…

种群与进化 · 定量生物学 2021-02-09 Chun-Wei Chang , Takeshi Miki , Masayuki Ushio , Hsiao-Pei Lu , Fuh-Kwo Shiah , Chih-hao Hsieh

The brain must extract behaviorally relevant latent variables from the signals streamed by the sensory organs. Such latent variables are often encoded in the dynamics that generated the signal rather than in the specific realization of the…

神经元与认知 · 定量生物学 2021-10-07 Tiberiu Tesileanu , Siavash Golkar , Samaneh Nasiri , Anirvan M. Sengupta , Dmitri B. Chklovskii

Recent experiments by Springer and Kenyon have shown that a deep neural network can be trained to predict the action of $t$ steps of Conway's Game of Life automaton given millions of examples of this action on random initial states.…

元胞自动机与格子气 · 物理学 2021-09-08 Veit Elser

The hippocampus has the capacity for reactivating recently acquired memories [1-3] and it is hypothesized that one of the functions of sleep reactivation is the facilitation of consolidation of novel memory traces [4-11]. The dynamic and…

神经元与认知 · 定量生物学 2015-06-26 Piotr Jablonski , Gina R. Poe , Michal Zochowski

We study the problem of graph structure identification, i.e., of recovering the graph of dependencies among time series. We model these time series data as components of the state of linear stochastic networked dynamical systems. We assume…

机器学习 · 计算机科学 2023-06-29 Sérgio Machado , Anirudh Sridhar , Paulo Gil , Jorge Henriques , José M. F. Moura , Augusto Santos

Understanding how biological constraints shape neural computation is a central goal of computational neuroscience. Spatially embedded recurrent neural networks provide a promising avenue to study how modelled constraints shape the combined…

神经与进化计算 · 计算机科学 2024-09-27 Cornelia Sheeran , Andrew S. Ham , Duncan E. Astle , Jascha Achterberg , Danyal Akarca

We study a reinforcement learning for temporal coding with neural network consisting of stochastic spiking neurons. In neural networks, information can be coded by characteristics of the timing of each neuronal firing, including the order…

适应与自组织系统 · 物理学 2007-05-23 Daichi Kimura , Yoshinori Hayakawa

This paper explores a simple question: can we model the internal transformations of a neural network using dynamical systems theory? We introduce Koopman autoencoders to capture how neural representations evolve through network layers,…

机器学习 · 计算机科学 2025-05-20 Nishant Suresh Aswani , Saif Eddin Jabari

We introduce a self-consistent deep-learning framework which, for a noisy deterministic time series, provides unsupervised filtering, state-space reconstruction, identification of the underlying differential equations and forecasting.…

机器学习 · 计算机科学 2021-08-05 Zhe Wang , Claude Guet

We study self-programming in recurrent neural networks where both neurons (the `processors') and synaptic interactions (`the programme') evolve in time simultaneously, according to specific coupled stochastic equations. The interactions are…

统计力学 · 物理学 2009-11-07 T Uezu , A C C Coolen

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

We present a structured neural network architecture that is inspired by linear time-varying dynamical systems. The network is designed to mimic the properties of linear dynamical systems which makes analysis and control simple. The…

机器人学 · 计算机科学 2018-08-06 Alexander Broad , Ian Abraham , Todd Murphey , Brenna Argall

The brain is formed by cortical regions that are associated with different cognitive functions. Neurons within the same region are more likely to connect than neurons in distinct regions, making the brain network to have characteristics of…

神经元与认知 · 定量生物学 2023-05-17 P. R. Protachevicz , F. S. Borges , A. M. Batista , M. S. Baptista , I. L. Caldas , E. E. N. Macau , E. L. Lameu

Existing black box modeling approaches in machine learning suffer from a fixed input and output feature combination. In this paper, a new approach to reconstruct missing variables in a set of time series is presented. An autoencoder is…

机器学习 · 计算机科学 2023-08-22 Jan-Philipp Roche , Oliver Niggemann , Jens Friebe

Neuron models built from experimental data have successfully predicted observed voltage oscillations within and beyond training range. A tantalising prospect is the possibility of estimating the unobserved dynamics of ion channels which is…

神经元与认知 · 定量生物学 2025-08-28 Ian Williams , Joseph D. Taylor , Alain Nogaret

Much of the information the brain processes and stores is temporal in nature - a spoken word or a handwritten signature, for example, is defined by how it unfolds in time. However, it remains unclear how neural circuits encode complex…

神经元与认知 · 定量生物学 2017-08-15 Vishwa Goudar , Dean Buonomano

Neuro-Evolution is a field of study that has recently gained significantly increased traction in the deep learning community. It combines deep neural networks and evolutionary algorithms to improve and/or automate the construction of neural…

神经与进化计算 · 计算机科学 2020-10-05 Marijn van Knippenberg , Vlado Menkovski , Sergio Consoli