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Related papers: Multiscale Granger causality analysis by \`a trous…

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Experimentally observed networks of interacting dynamical systems are inferred from recorded multivariate time series by evaluating a statistical measure of dependence, usually the cross-correlation coefficient, or mutual information. These…

Data Analysis, Statistics and Probability · Physics 2017-07-03 Milan Palus

Identification of a transient gravitational-wave signal embedded into non-stationary noise requires the analysis of time-dependent spectral components in the resulting time series. The time-frequency distribution of the signal power can be…

Data Analysis, Statistics and Probability · Physics 2022-01-05 Sergey Klimenko

This paper presents a framework for time-causal wavelet analysis. It targets real-time processing of temporal signals, where data from the future are not available. The study builds upon temporal scale-space theory, originating from a…

Signal Processing · Electrical Eng. & Systems 2026-04-21 Tony Lindeberg

In this paper, we propose a new Granger causality measure which is robust against the confounding influence of latent common inputs. This measure is inspired by partial Granger causality in the literature, and its variant. Using numerical…

Methodology · Statistics 2019-08-13 Takashi Arai

Causality plays a central role in understanding interactions between variables in complex systems. These systems often exhibit state-dependent causal relationships, where both the strength and direction of causality vary with the value of…

Data Analysis, Statistics and Probability · Physics 2025-08-05 Álvaro Martínez-Sánchez , Adrián Lozano-Durán

Physiological signals are often corrupted by motion artifacts, baseline drift, and other low-SNR disturbances, which pose significant challenges for analysis. Additionally, these signals exhibit strong non-stationarity, with sharp peaks and…

Machine Learning · Computer Science 2025-10-21 Yanlong Chen , Mattia Orlandi , Pierangelo Maria Rapa , Simone Benatti , Luca Benini , Yawei Li

The bottom-up saliency, an early stage of humans' visual attention, can be considered as a binary classification problem between center and surround classes. Discriminant power of features for the classification is measured as mutual…

Computer Vision and Pattern Recognition · Computer Science 2013-01-18 Anh Cat Le Ngo , Kenneth Ang Li-Minn , Guoping Qiu , Jasmine Seng Kah-Phooi

The interactions between climate and the environment are highly complex. Due to this complexity, process-based models are often preferred to estimate the net magnitude and directionality of interactions in the Earth System. However, these…

Atmospheric and Oceanic Physics · Physics 2015-09-30 Erik Casagrande , Brigitte Mueller , Diego Miralles , Dara Entekhabi , Annalisa Molini

The facts and time in the document are intricately intertwined, making temporal reasoning over documents challenging. Previous work models time implicitly, making it difficult to handle such complex relationships. To address this issue, we…

Computation and Language · Computer Science 2023-11-09 Zheng Chu , Zekun Wang , Jiafeng Liang , Ming Liu , Bing Qin

Computing Granger causal relations among bivariate experimentally observed time series has received increasing attention over the past few years. Such causal relations, if correctly estimated, can yield significant insights into the…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Hariharan Nalatore , Govindan Rangarajan , Mingzhou Ding

Deep learning (DL) has recently drawn much attention in image analysis, natural language process, and high-dimensional medical data analysis. Under the causal direct acyclic graph (DAG) interpretation, the input variables without incoming…

Applications · Statistics 2022-03-22 Jong-Hyeon Jeong , Yichen Jia

The quantile varying coefficient (VC) model can flexibly capture dynamical patterns of regression coefficients. In addition, due to the quantile check loss function, it is robust against outliers and heavy-tailed distributions of the…

Methodology · Statistics 2023-07-11 Fei Zhou , Jie Ren , Shuangge Ma , Cen Wu

Granger Causality (GC) is widely used in neuroimaging to estimate directed statistical dependence among brain regions using time series of brain activity. An important issue is that functional MRI (fMRI) measures brain activity indirectly…

Neurons and Cognition · Quantitative Biology 2023-12-05 Leonardo Novelli , Lionel Barnett , Anil Seth , Adeel Razi

Many different analysis techniques have been developed and applied to EEG recordings that allow one to investigate how different brain areas interact. One particular class of methods, based on the linear parametric representation of…

Neurons and Cognition · Quantitative Biology 2016-11-09 Frederik van de Steen , Luca Faes , Esin Karahan , Jitkomut Songsiri , Pedro Antonio Valdes Sosa , Daniele Marinazzo

We introduce a visual analysis method for multiple causal graphs with different outcome variables, namely, multi-outcome causal graphs. Multi-outcome causal graphs are important in healthcare for understanding multimorbidity and…

Machine Learning · Computer Science 2026-05-01 Mengjie Fan , Jinlu Yu , Daniel Weiskopf , Nan Cao , Huai-Yu Wang , Liang Zhou

Human brain development is a complex and dynamic process that is affected by several factors such as genetics, sex hormones, and environmental changes. A number of recent studies on brain development have examined functional connectivity…

Computer Vision and Pattern Recognition · Computer Science 2020-01-29 Peyman Hosseinzadeh Kassani , Li Xiao , Gemeng Zhang , Julia M. Stephen , Tony W. Wilson , Vince D. Calhoun , Yu Ping Wang

Causality graphs are routinely estimated in social sciences, natural sciences, and engineering due to their capacity to efficiently represent the spatiotemporal structure of multivariate data sets in a format amenable for human…

Signal Processing · Electrical Eng. & Systems 2020-11-16 Bakht Zaman , Luis Miguel Lopez Ramos , Daniel Romero , Baltasar Beferull-Lozano

Latent confounding has been a long-standing obstacle for causal reasoning from observational data. One popular approach is to model the data using acyclic directed mixed graphs (ADMGs), which describe ancestral relations between variables…

Machine Learning · Computer Science 2023-03-23 Matthew Ashman , Chao Ma , Agrin Hilmkil , Joel Jennings , Cheng Zhang

Progress in probabilistic generative models has accelerated, developing richer models with neural architectures, implicit densities, and with scalable algorithms for their Bayesian inference. However, there has been limited progress in…

Machine Learning · Statistics 2017-10-31 Dustin Tran , David M. Blei

We develop a model-based methodology for integrating gene-set information with an experimentally-derived gene list. The methodology uses a previously reported sampling model, but takes advantage of natural constraints in the…

Methodology · Statistics 2015-06-02 Zhishi Wang , Qiuling He , Bret Larget , Michael A. Newton