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Brain networks can be defined and explored through their connectivity. Here, we analyzed the relationship between structural connectivity (SC) across 2,514 regions that cover the entire brain and brainstem, and their dynamic functional…

Long-term time series forecasting is a long-standing challenge in various applications. A central issue in time series forecasting is that methods should expressively capture long-term dependency. Furthermore, time series forecasting…

Machine Learning · Computer Science 2024-11-06 Xingyu Zhang , Siyu Zhao , Zeen Song , Huijie Guo , Jianqi Zhang , Changwen Zheng , Wenwen Qiang

In the last two decades, functional magnetic resonance imaging (fMRI) has emerged as one of the most effective technologies in clinical research of the human brain. fMRI allows researchers to study healthy and pathological brains while they…

Neurons and Cognition · Quantitative Biology 2022-12-06 Sadi Md. Redwan , Md Palash Uddin , Muhammad Imran Sharif , Anwaar Ulhaq

The detrended cross-correlation coefficient $\rho_{\rm DCCA}$ has recently been proposed to quantify the strength of cross-correlations on different temporal scales in bivariate, non-stationary time series. It is based on the detrended…

Data Analysis, Statistics and Probability · Physics 2015-12-09 Jaroslaw Kwapien , Pawel Oswiecimka , Stanislaw Drozdz

Brain functional connectivity (FC), the temporal synchrony between brain networks, is essential to understand the functional organization of the brain and to identify changes due to neurological disorders, development, treatment, and other…

Applications · Statistics 2025-06-18 Amanda Mejia , David Bolin , Daniel Spencer , Ani Eloyan

Quantum synchronization has emerged as a crucial phenomenon in quantum nonlinear dynamics with potential applications in quantum information processing. Multiple measures for quantifying quantum synchronization exist. However, there is…

Quantum Physics · Physics 2023-08-02 Yuan Shen , Hong Yi Soh , Leong-Chuan Kwek , Weijun Fan

Implementing linear transformations is a key task in the decentralized signal processing framework, which performs learning tasks on data sets distributed over multi-node networks. That kind of network can be represented by a graph.…

Signal Processing · Electrical Eng. & Systems 2020-11-24 Siavash Mollaebrahim , Baltasar Beferull-Lozano

Diffusion-weighted magnetic resonance imaging (DW-MRI) is a critical imaging method for capturing and modeling tissue microarchitecture at a millimeter scale. A common practice to model the measured DW-MRI signal is via fiber orientation…

Pre-training on time series poses a unique challenge due to the potential mismatch between pre-training and target domains, such as shifts in temporal dynamics, fast-evolving trends, and long-range and short-cyclic effects, which can lead…

Machine Learning · Computer Science 2022-10-18 Xiang Zhang , Ziyuan Zhao , Theodoros Tsiligkaridis , Marinka Zitnik

We consider the External Clock Synchronization problem in dynamic sensor networks. Initially, sensors obtain inaccurate estimations of an external time reference and subsequently collaborate in order to synchronize their internal clocks…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-11 Ofer Feinerman , Amos Korman

Variational inference with normalizing flows (NFs) is an increasingly popular alternative to MCMC methods. In particular, NFs based on coupling layers (Real NVPs) are frequently used due to their good empirical performance. In theory,…

Machine Learning · Statistics 2024-02-27 Daniel Andrade

Transformer-based architectures have become the dominant paradigm for Continuous-Time Dynamic Graph (CTDG) learning, yet their performance remains limited on temporally shifted datasets. In this work, we identify attention dispersion as a…

Machine Learning · Computer Science 2026-05-18 Jinhao Zhang , Kangfei Zhao , Qiuhao Zeng , Long-Kai Huang

The analysis of the interdependence between time series has become an important field of research in the last years, mainly as a result of advances in the characterization of dynamical systems from the signals they produce, the introduction…

Neurons and Cognition · Quantitative Biology 2013-05-28 Guiomar Niso , Ricardo Bruña , Ernesto Pereda , Ricardo Gutiérrez , Ricardo Bajo , Fernando Maestú , Francisco del-Pozo

Motor skill acquisition in fields like surgery, robotics, and sports involves learning complex task sequences through extensive training. Traditional performance metrics, like execution time and error rates, offer limited insight as they…

Neurons and Cognition · Quantitative Biology 2025-02-21 Anil Kamat , Rahul Rahul , Lora Cavuoto , Harry Burke , Matthew Hackett , Jack Norfleet , Steven Schwaitzberg , Suvranu De

Non-stationarity is an intrinsic property of real-world time series and plays a crucial role in time series forecasting. Previous studies primarily adopt instance normalization to attenuate the non-stationarity of original series for better…

Machine Learning · Computer Science 2025-03-05 Tianyu Jia , Zongxia Xie , Yanru Sun , Dilfira Kudrat , Qinghua Hu

Inferring a binary connectivity graph from resting-state fMRI data for a single subject requires making several methodological choices and assumptions that can significantly affect the results. In this study, we investigate the robustness…

Methodology · Statistics 2025-03-20 Alice Chevaux , Ali Fahkar , Kévin Polisano , Irène Gannaz , Sophie Achard

Estimating the covariance structure of multivariate time series is a fundamental problem with a wide-range of real-world applications -- from financial modeling to fMRI analysis. Despite significant recent advances, current state-of-the-art…

Machine Learning · Computer Science 2021-02-12 Hrayr Harutyunyan , Daniel Moyer , Hrant Khachatrian , Greg Ver Steeg , Aram Galstyan

Functional Magnetic Resonance Imaging (fMRI) is an imaging technique widely used to study human brain activity. fMRI signals in areas across the brain transiently synchronise and desynchronise their activity in a highly structured manner,…

Machine Learning · Computer Science 2025-08-12 Yiran Huang , Amirhossein Nouranizadeh , Christine Ahrends , Mengjia Xu

It is well known that for ergodic channel processes the Generalized Max-Weight Matching (GMWM) scheduling policy stabilizes the network for any supportable arrival rate vector within the network capacity region. This policy, however, often…

Information Theory · Computer Science 2016-11-18 Mahdi Lotfinezhad , Ben Liang , Elvino S. Sousa

Numerical simulations to evaluate thoracic aortic hemodynamics include a computational fluid dynamic (CFD) approach or fluid-structure interaction (FSI) approach. While CFD neglects the arterial deformation along the cardiac cycle by…