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To gain insight into complex systems it is a key challenge to infer nonlinear causal directional relations from observational time-series data. Specifically, estimating causal relationships between interacting components in large systems…

Machine Learning · Computer Science 2021-11-04 Axel Wismüller , Adora M. DSouza , Anas Z. Abidin

Breast cancer is one of the most common cancers in women worldwide, and early detection can significantly reduce the mortality rate of breast cancer. It is crucial to take multi-scale information of tissue structure into account in the…

Computer Vision and Pattern Recognition · Computer Science 2021-01-01 Mo Zhang , Quanzheng Li

Humans can synchronize with musical events whilst coordinating their movements with others. Interpersonal entrainment phenomena, such as dance, involve multiple body parts and movement directions. Along with being multidimensional, dance…

Methodology · Statistics 2021-04-21 Petri Toiviainen , Martin Hartmann

This reply is in response to commentaries by Barnett, Barrett, and Seth (arXiv:1708.08001) and Faes, Stramaglia, and Marinazzo (arXiv:1708.06990) on our paper entitled "A study of problems encountered in Granger causality analysis from a…

Methodology · Statistics 2017-10-02 Patrick A. Stokes , Patrick L. Purdon

Traffic forecasting is the foundation for intelligent transportation systems. Spatiotemporal graph neural networks have demonstrated state-of-the-art performance in traffic forecasting. However, these methods do not explicitly model some of…

Machine Learning · Computer Science 2024-03-05 Qipeng Qian , Tanwi Mallick

Understanding the dynamics of functional brain connectivity patterns using noninvasive neuroimaging techniques is an important focus in human neuroscience. Vector autoregressive (VAR) processes and Granger causality analysis (GCA) have been…

Applications · Statistics 2022-09-16 Jingjing Fan , Kevin Sitek , Bharath Chandrasekaran , Abhra Sarkar

Causal discovery in time-series is a fundamental problem in the machine learning community, enabling causal reasoning and decision-making in complex scenarios. Recently, researchers successfully discover causality by combining neural…

Machine Learning · Computer Science 2023-08-17 Yuxiao Cheng , Lianglong Li , Tingxiong Xiao , Zongren Li , Qin Zhong , Jinli Suo , Kunlun He

Functional data consist of trajectories observed over a continuous domain, such as time, space, or wavelength. Here we consider curves observed on different groups of subjects and propose a Bayesian multi-group functional factor analysis…

Methodology · Statistics 2026-04-02 Xuanye Dai , Anna Gottard , Michele Guindani , Marina Vannucci

Wahl et al. (2016, 2017) introduced the idea of Granger causality (GC) maps for Langevin systems: dynamics are localised linearly at each point in phase space as vector Ornstein-Uhlenbeck (VOU) processes, for which GCs may in principle be…

Mathematical Physics · Physics 2026-01-13 Lionel Barnett , Benjamin Wahl , Nadine Spychala , Anil K. Seth

Sequential recommendation aims to model users' evolving interests from noisy and non-stationary interaction streams, where long-term preferences, short-term intents, and localized behavioral fluctuations may coexist across temporal scales.…

Information Retrieval · Computer Science 2026-04-24 Peilin Liu , Zhiquan Ji , Gang Yan

Intellectual disability (ID) is defined by an IQ under 70, in addition to deficits in two or more adaptive behaviors that affect everyday living. Throughout history, individuals with ID have often been margin-alized from society and…

Molecular Networks · Quantitative Biology 2025-08-08 Lukas Madsen Brandt , Katja Nowick , Jing Qin

Mendelian randomization (MR) is a pivotal tool in genetics, genomics, and epidemiology, leveraging genetic variants as instrumental variables to infer causal relationships between exposures and outcomes. Traditional MR methods, while…

Methodology · Statistics 2026-01-15 Bitan Sarkar , Yuchao Jiang , Tian Ge , Yang Ni

Complex dynamical systems are prevalent in many scientific disciplines. In the analysis of such systems two aspects are of particular interest: 1) the temporal patterns along which they evolve and 2) the underlying causal mechanisms.…

Methodology · Statistics 2022-05-31 Nicolas-Domenic Reiter , Andreas Gerhardus , Jakob Runge

Electroencephalography (EEG), a technique that records electrical activity from the scalp using electrodes, plays a vital role in affective computing. However, fully utilizing the multi-domain characteristics of EEG signals remains a…

Neural and Evolutionary Computing · Computer Science 2026-03-16 Yanjie Cui , Xiaohong Liu , Jing Liang , Yamin Fu

Objectives: We develop a framework for the analysis of synergy and redundancy in the pattern of information flow between subsystems of a complex network. Methods: The presence of redundancy and/or synergy in multivariate time series data…

Information Theory · Computer Science 2016-05-17 Sebastiano Stramaglia , Leonardo Angelini , Guorong Wu , Jesus M. Cortés , Luca Faes , Daniele Marinazzo

We aim to explicitly model the delayed Granger causal effects based on multivariate Hawkes processes. The idea is inspired by the fact that a causal event usually takes some time to exert an effect. Studying this time lag itself is of…

Machine Learning · Computer Science 2023-08-14 Chao Yang , Hengyuan Miao , Shuang Li

The multiscale dynamics of glow discharge plasma is analysed through wavelet transform, whose scale dependent variable window size aptly captures both transients and non-stationary periodic behavior. The optimal time-frequency localization…

Quantum Physics · Physics 2015-06-18 Bapun K. Giri , Chiranjit Mitra , Prasanta K. Panigrahi , A. N. Sekar Iyengar

Spectral graph convolution, an important tool of data filtering on graphs, relies on two essential decisions: selecting spectral bases for signal transformation and parameterizing the kernel for frequency analysis. While recent techniques…

Machine Learning · Computer Science 2025-05-15 Nian Liu , Xiaoxin He , Thomas Laurent , Francesco Di Giovanni , Michael M. Bronstein , Xavier Bresson

We describe a simple automated method to extract and quantify transient heterogeneous dynamical changes from large datasets generated in single molecule/particle tracking experiments. Based on wavelet transform, the method transforms raw…

Data Analysis, Statistics and Probability · Physics 2013-06-04 Kejia Chen , Bo Wang , Juan Guan , Steve Granick

When evaluating causal influence from one time series to another in a multivariate dataset it is necessary to take into account the conditioning effect of the other variables. In the presence of many variables, and possibly of a reduced…

Data Analysis, Statistics and Probability · Physics 2012-03-26 Daniele Marinazzo , Mario Pellicoro , Sebastiano Stramaglia