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Metastable brain dynamics are characterized by abrupt, jump-like modulations so that the neural activity in single trials appears to unfold as a sequence of discrete, quasi-stationary states. Evidence that cortical neural activity unfolds…

神经元与认知 · 定量生物学 2019-06-20 Giancarlo La Camera , Alfredo Fontanini , Luca Mazzucato

A key question in brain sciences is how to identify time-evolving functional connectivity, such as that obtained from recordings of neuronal activity over time. We wish to explain the observed phenomena in terms of latent states which, in…

统计方法学 · 统计学 2026-05-14 Yiwei Gong , Susanna B. Mierau , Sinead A. Williamson

A new dynamic latent space eigenmodel (LSM) is proposed for weighted temporal networks. The model accommodates integer-valued weights, excess of zeros, time-varying node positions (features), and time-varying network sparsity. The latent…

统计方法学 · 统计学 2026-04-15 Roberto Casarin , Matteo Iacopini , Antonio Peruzzi

Knowledge about the hidden factors that determine particular system dynamics is crucial for both explaining them and pursuing goal-directed interventions. Inferring these factors from time series data without supervision remains an open…

Active systems across scales, ranging from molecular machines to human crowds, are usually modeled as assemblies of self-propelled particles driven by internally generated forces. However, these models often assume memoryless dynamics and…

统计力学 · 物理学 2025-12-10 Marc Besse , Raphaël Voituriez

To gain insight into the neural events responsible for visual perception of static and dynamic optical patterns, we study how neural activation spreads in arrays of inhibition-stabilized neural networks with nearest-neighbor coupling. The…

神经元与认知 · 定量生物学 2016-09-02 Sergey Savel'ev , Sergei Gepshtein

In analyzing and assessing the condition of dynamical systems, it is necessary to account for nonlinearity. Recent advances in computation have rendered previously computationally infeasible analyses readily executable on common computer…

计算工程、金融与科学 · 计算机科学 2021-09-24 Thomas Simpson , Nikolaos Dervilis , Eleni Chatzi

We introduce a novel grid-independent model for learning partial differential equations (PDEs) from noisy and partial observations on irregular spatiotemporal grids. We propose a space-time continuous latent neural PDE model with an…

机器学习 · 计算机科学 2023-10-27 Valerii Iakovlev , Markus Heinonen , Harri Lähdesmäki

We propose a new class of parameterizations for spatio-temporal point processes which leverage Neural ODEs as a computational method and enable flexible, high-fidelity models of discrete events that are localized in continuous time and…

机器学习 · 计算机科学 2021-03-19 Ricky T. Q. Chen , Brandon Amos , Maximilian Nickel

Data-based inference of directed interactions in complex dynamical systems is a problem common to many disciplines of science. In this work, we study networks of spatially separate dynamical entities, which could represent physical systems…

统计力学 · 物理学 2024-03-15 Tim Hempel , Sarah A. M. Loos

Understanding the activity of large populations of neurons is difficult due to the combinatorial complexity of possible cell-cell interactions. To reduce the complexity, coarse-graining had been previously applied to experimental neural…

神经元与认知 · 定量生物学 2021-03-24 Mia C. Morrell , Audrey J. Sederberg , Ilya Nemenman

Echo State Networks (ESN) are versatile recurrent neural network models in which the hidden layer remains unaltered during training. Interactions among nodes of this static backbone produce diverse representations of the given stimuli that…

机器学习 · 计算机科学 2022-05-25 Kayson Fakhar , Fatemeh Hadaeghi , Claus C. Hilgetag

This work proposes a novel neural network architecture, called the Dynamically Controlled Recurrent Neural Network (DCRNN), specifically designed to model dynamical systems that are governed by ordinary differential equations (ODEs). The…

神经与进化计算 · 计算机科学 2019-11-04 Yiwei Fu , Samer Saab , Asok Ray , Michael Hauser

Spiking Neural Networks (SNNs) are considered naturally suited for temporal processing, with membrane potential propagation widely regarded as the core temporal modeling mechanism. However, existing research lack analysis of its actual…

神经与进化计算 · 计算机科学 2025-12-08 Yiting Dong , Zhaofei Yu , Jianhao Ding , Zijie Xu , Tiejun Huang

The neural activity in the visual processing is influenced by both external stimuli and internal brain states. Ideally, a neural predictive model should account for both of them. Currently, there are no dynamic encoding models that…

神经元与认知 · 定量生物学 2025-11-18 Finn Schmidt , Polina Turishcheva , Suhas Shrinivasan , Fabian H. Sinz

This technical note introduces parametric dynamic causal modelling, a method for inferring slow changes in biophysical parameters that control fluctuations of fast neuronal states. The application domain we have in mind is inferring slow…

定量方法 · 定量生物学 2020-08-27 Amirhossein Jafarian , Peter Zeidman , Rob. C Wykes , Matthew Walker , Karl J. Friston

We introduce a novel state-space model (SSM)-based framework for skeleton-based human action recognition, with an anatomically-guided architecture that improves state-of-the-art performance in both clinical diagnostics and general action…

计算机视觉与模式识别 · 计算机科学 2024-12-02 Niki Martinel , Mariano Serrao , Christian Micheloni

Latent representation learned from multi-layered neural networks via hierarchical feature abstraction enables recent success of deep learning. Under the deep learning framework, generalization performance highly depends on the learned…

机器学习 · 计算机科学 2016-11-07 Hyo-Eun Kim , Sangheum Hwang , Kyunghyun Cho

Understanding how brain functions has been an intriguing topic for years. With the recent progress on collecting massive data and developing advanced technology, people have become interested in addressing the challenge of decoding brain…

神经元与认知 · 定量生物学 2016-12-01 Jingkang Yang , Haohan Wang , Jun Zhu , Eric P. Xing

Encoding models are used for predicting brain activity in response to sensory stimuli with the objective of elucidating how sensory information is represented in the brain. Encoding models typically comprise a nonlinear transformation of…

神经元与认知 · 定量生物学 2017-03-13 Umut Güçlü , Marcel A. J. van Gerven