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We consider spatially dependent functional data collected under a geostatistics setting, where locations are sampled from a spatial point process. The functional response is the sum of a spatially dependent functional effect and a spatially…

统计方法学 · 统计学 2021-06-18 Haozhe Zhang , Yehua Li

Motor imagery classification based on electroencephalography (EEG) signals is one of the most important brain-computer interface applications, although it needs further improvement. Several methods have attempted to obtain useful…

计算机视觉与模式识别 · 计算机科学 2024-03-08 Takuto Fukushima , Ryusuke Miyamoto

Neural encoding studies explore the relationships between measurements of neural activity and measurements of a behavior that is viewed as a response to that activity. The coupling between neural and behavioral measurements is typically…

统计方法学 · 统计学 2017-05-16 Seyoung Park , Kerby Shedden , Shuheng Zhou

Electroencephalogram (EEG) has been a core tool used in functional neuroimaging in humans for nearly a hundred years. Because it is inexpensive, easy to implement, and noninvasive, it also represents an excellent candidate modality for use…

神经元与认知 · 定量生物学 2021-11-18 PK Douglas , DB Douglas

This article addresses the issue of representing electroencephalographic (EEG) signals in an efficient way. While classical approaches use a fixed Gabor dictionary to analyze EEG signals, this article proposes a data-driven method to obtain…

Gaussian random fields with Mat\'ern covariance functions are popular models in spatial statistics and machine learning. In this work, we develop a spatio-temporal extension of the Gaussian Mat\'ern fields formulated as solutions to a…

统计方法学 · 统计学 2023-04-06 Finn Lindgren , Haakon Bakka , David Bolin , Elias Krainski , Håvard Rue

Foundation models are reshaping EEG analysis, yet an important problem of EEG tokenization remains a challenge. This paper presents TFM-Tokenizer, a novel tokenization framework that learns a vocabulary of time-frequency motifs from…

机器学习 · 计算机科学 2026-05-15 Jathurshan Pradeepkumar , Xihao Piao , Zheng Chen , Jimeng Sun

Several other factors, besides the intrinsic local geometry, contribute to give a meaning to a space-time model. The simplest example comes from comparing Minkowski's and Milne's model, that both have a null Riemann tensor. We add to these…

广义相对论与量子宇宙学 · 物理学 2007-12-05 Ll. Bel

In this paper, we propose a novel approach for parametric modeling of electroencephalographic (EEG) signals. It is demonstrated that the EEG signal is a mono-component non-stationary signal whose amplitude and phase (frequency) can be…

计算工程、金融与科学 · 计算机科学 2020-06-30 Pradip Sircar , Rakesh Kumar Sharma

We present a novel deep neural architecture for learning electroencephalogram (EEG). To learn the spatial information, our model first obtains the Riemannian mean and distance from spatial covariance matrices (SCMs) on a Riemannian…

计算机视觉与模式识别 · 计算机科学 2023-11-28 Guangyi Zhang , Ali Etemad

This paper investigates inverse source problems for time-dependent electromagnetic waves governed by Maxwell's equations. After applying the Fourier transform with respect to time, the problem leads to a frequency-domain electromagnetic…

数值分析 · 数学 2026-03-11 Fenglin Sun , Hongxia Guo

Very large spatio-temporal lattice data are becoming increasingly common across a variety of disciplines. However, estimating interdependence across space and time in large areal datasets remains challenging, as existing approaches are…

统计计算 · 统计学 2018-07-20 Philipp Hunziker , Julian Wucherpfennig , Aya Kachi , Nils-Christian Bormann

The solutions of Hamiltonian equations are known to describe the underlying phase space of a mechanical system. In this article, we propose a novel spatio-temporal model using a strategic modification of the Hamiltonian equations,…

统计方法学 · 统计学 2026-02-17 Satyaki Mazumder , Sayantan Banerjee , Sourabh Bhattacharya

A fundamental challenge in acoustic data processing is to separate a measured time series into relevant phenomenological components. A given measurement is typically assumed to be an additive mixture of myriad signals plus noise whose…

信号处理 · 电气工程与系统科学 2023-05-10 Geoff Goehle , Benjamin Cowen , Thomas E. Blanford , J. Daniel Park , Daniel C. Brown

Accurately estimating the statistical properties of noise is important in data analysis for space-based gravitational wave detectors. Noise in different time-delay interferometry channels correlates with each other. Many studies often…

天体物理仪器与方法 · 物理学 2025-06-18 Ya-Nan Li , Yi-Ming Hu , En-Kun Li

We present a deep learning solution to the problem of localization of magnetoencephalography (MEG) brain signals. The proposed deep model architectures are tuned for single and multiple time point MEG data, and can estimate varying numbers…

信号处理 · 电气工程与系统科学 2020-12-02 Dimitrios Pantazis , Amir Adler

We are concerned with time-dependent inverse source problems in elastodynamics. The source term is supposed to be the product of a spatial function and a temporal function with compact support. We present frequency-domain and time-domain…

偏微分方程分析 · 数学 2018-04-04 Gang Bao , Guanghui Hu , Yavar Kian , Tao Yin

We address the problem of predicting spatio-temporal processes with temporal patterns that vary across spatial regions, when data is obtained as a stream. That is, when the training dataset is augmented sequentially. Specifically, we…

机器学习 · 统计学 2018-06-25 Muhammad Osama , Dave Zachariah , Thomas B. Schön

Many applications produce multiway data of exceedingly high dimension. Modeling such multi-way data is important in multichannel signal and video processing where sensors produce multi-indexed data, e.g. over spatial, frequency, and…

统计方法学 · 统计学 2022-12-06 Yu Wang , Zeyu Sun , Dogyoon Song , Alfred Hero

Epileptic seizure activity shows complicated dynamics in both space and time. To understand the evolution and propagation of seizures spatially extended sets of data need to be analysed. We have previously described an efficient filtering…