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There is a broad need in the neuroscience community to understand and visualize large-scale recordings of neural activity, big data acquired by tens or hundreds of electrodes simultaneously recording dynamic brain activity over minutes to…

神经元与认知 · 定量生物学 2015-11-24 Bingni W. Brunton , Lise A. Johnson , Jeffrey G. Ojemann , J. Nathan Kutz

Neural signals are characterized by rich temporal and spatiotemporal dynamics that reflect the organization of cortical networks. Theoretical research has shown how neural networks can operate at different dynamic ranges that correspond to…

神经元与认知 · 定量生物学 2017-07-05 Luca Ambrogioni , Marcel A. J. van Gerven , Eric Maris

Extracting coherent patterns is one of the standard approaches towards understanding spatio-temporal data. Dynamic mode decomposition (DMD) is a powerful tool for extracting coherent patterns, but the original DMD and most of its variants…

机器学习 · 计算机科学 2021-02-22 Naoya Takeishi , Keisuke Fujii , Koh Takeuchi , Yoshinobu Kawahara

Dynamic mode decomposition (DMD) gives a practical means of extracting dynamic information from data, in the form of spatial modes and their associated frequencies and growth/decay rates. DMD can be considered as a numerical approximation…

Functional brain dynamics is supported by parallel and overlapping functional network modes that are associated with specific neural circuits. Decomposing these network modes from fMRI data and finding their temporal characteristics is…

人工智能 · 计算机科学 2023-12-08 Md Asadullah Turja , Martin Styner , Guorong Wu

Extreme learning machines (ELMs), which preset hidden layer parameters and solve for last layer coefficients via a least squares method, can typically solve partial differential equations faster and more accurately than Physics Informed…

数值分析 · 数学 2025-09-10 Chang-Ock Lee , Byungeun Ryoo

The time-dependent fields obtained by solving partial differential equations in two and more dimensions quickly overwhelm the analytical capabilities of the human brain. A meaningful insight into the temporal behaviour can be obtained by…

数值分析 · 数学 2024-04-04 Miha Rot , Martin Horvat , Gregor Kosec

The scientific computation methods development in conjunction with artificial intelligence technologies remains a hot research topic. Finding a balance between lightweight and accurate computations is a solid foundation for this direction.…

机器学习 · 计算机科学 2025-07-03 Nikita Sakovich , Dmitry Aksenov , Ekaterina Pleshakova , Sergey Gataullin

Decomposing multivariate time series with certain basic dynamics is crucial for understanding, predicting and controlling nonlinear spatiotemporally dynamic systems such as the brain. Dynamic mode decomposition (DMD) is a method for…

信号处理 · 电气工程与系统科学 2025-07-15 Ryohei Fukuma , Yoshinobu Kawahara , Okito Yamashita , Kei Majima , Haruhiko Kishima , Takufumi Yanagisawa

Irrespective of the fact that Machine learning has produced groundbreaking results, it demands an enormous amount of data in order to perform so. Even though data production has been in its all-time high, almost all the data is unlabelled,…

计算机视觉与模式识别 · 计算机科学 2019-10-09 Rahul-Vigneswaran K , Sachin-Kumar S , Neethu Mohan , Soman KP

Dynamic mode decomposition (DMD) is a data-driven method of extracting spatial-temporal coherent modes from complex systems and providing an equation-free architecture to model and predict systems. However, in practical applications, the…

系统与控制 · 电气工程与系统科学 2024-10-07 Ningxin Liu , Shuigen Liu , Xin T. Tong , Lijian Jiang

We propose a network for semantic mapping called the Dense Dilated Convolutions Merging Network (DDCM-Net) to provide a deep learning approach that can recognize multi-scale and complex shaped objects with similar color and textures, such…

计算机视觉与模式识别 · 计算机科学 2019-09-02 Qinghui Liu , Michael Kampffmeyer , Robert Jenssen , Arnt-Børre Salberg

The Dynamic-Mode Decomposition (DMD) is a well established data-driven method of finding temporally evolving linear-mode decompositions of nonlinear time series. Traditionally, this method presumes that all relevant dimensions are sampled…

动力系统 · 数学 2021-01-13 Christopher W. Curtis , Daniel Jay Alford-Lago

Robust and accurate decoding of gesture from non-invasive surface electromyography (sEMG) is important for various applications including spatial computing, healthcare, and entertainment, and has been actively pursued by researchers and…

人机交互 · 计算机科学 2026-02-17 Adyasha Dash , Giulia Zappoli , Laya Das , Robert Riener

Human motion prediction is an important and challenging task in many computer vision application domains. Recent work concentrates on utilizing the timing processing ability of recurrent neural networks (RNNs) to achieve smooth and reliable…

计算机视觉与模式识别 · 计算机科学 2021-12-21 Zigeng Yan , Di-Hua Zhai , Yuanqing Xia

Research in modern data-driven dynamical systems is typically focused on the three key challenges of high dimensionality, unknown dynamics, and nonlinearity. The dynamic mode decomposition (DMD) has emerged as a cornerstone for modeling…

流体动力学 · 物理学 2022-04-27 Peter J. Baddoo , Benjamin Herrmann , Beverley J. McKeon , Steven L. Brunton

Dynamic Mode Decomposition (DMD) is a data-driven modeling tool that generates a model from spatio-temporal data. The data needs to be as clean as possible for DMD to come up with a faithful model. We review a few data-filtering methods to…

High-density surface electromyography (HD-sEMG) provides a noninvasive neural interface for assistive and rehabilitation control, but mapping neural activity to user motor intent remains challenging. We assess a spiking neural network (SNN)…

机器学习 · 计算机科学 2025-12-12 Abolfazl Shahrooei , Luke Arthur , Om Patel , Derek Kamper

Dynamic magnetic resonance imaging (MRI) plays an indispensable role in cardiac diagnosis. To enable fast imaging, the k-space data can be undersampled but the image reconstruction poses a great challenge of high-dimensional processing.…

图像与视频处理 · 电气工程与系统科学 2024-10-03 Zi Wang , Min Xiao , Yirong Zhou , Chengyan Wang , Naiming Wu , Yi Li , Yiwen Gong , Shufu Chang , Yinyin Chen , Liuhong Zhu , Jianjun Zhou , Congbo Cai , He Wang , Di Guo , Guang Yang , Xiaobo Qu

Dynamic Mode Decomposition (DMD) is an equation-free method that aims at reconstructing the best linear fit from temporal datasets. In this paper, we show that DMD does not provide accurate approximation for datasets describing oscillatory…

数值分析 · 数学 2023-03-14 Alessandro Alla , Angela Monti , Ivonne Sgura
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