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We present a sample path dependent measure of causal influence between two time series. The proposed measure is a random variable whose expected sum is the directed information. A realization of the proposed measure may be used to identify…

Information Theory · Computer Science 2018-10-15 Gabriel Schamberg , Todd P. Coleman

Granger causality, a popular method for determining causal influence between stochastic processes, is most commonly estimated via linear autoregressive modeling. However, this approach has a serious drawback: if the process being modeled…

Statistics Theory · Mathematics 2016-06-29 Lionel Barnett , Anil K. Seth

A fundamental challenge in causal inference with observational data is correct specification of a causal model. When there is model uncertainty, analysts may seek to use estimates from multiple candidate models that rely on distinct, and…

Methodology · Statistics 2026-03-03 Rohit Bhattacharya , Ina Ocelli , Ted Westling

The present study explores the intricacies of causal relationship extraction, a vital component in the pursuit of causality knowledge. Causality is frequently intertwined with temporal elements, as the progression from cause to effect is…

Computation and Language · Computer Science 2023-04-24 Xiaosong Yuan , Ke Chen , Wanli Zuo , Yijia Zhang

Identifying directed interactions between species from time series of their population densities has many uses in ecology. This key statistical task is equivalent to causal time series inference, which connects to the Granger causality (GC)…

Populations and Evolution · Quantitative Biology 2020-11-10 Frederic Barraquand , Coralie Picoche , Matteo Detto , Florian Hartig

We analyze by means of Granger causality the effect of synergy and redundancy in the inference (from time series data) of the information flow between subsystems of a complex network. Whilst we show that fully conditioned Granger causality…

Quantitative Methods · Quantitative Biology 2015-06-19 Sebastiano Stramaglia , Jesus M. Cortes , Daniele Marinazzo

The information flow-based quantitative causality analysis has been widely applied in different disciplines because of its origin from first principles, its concise form, and its computational efficiency. So far the algorithm for its…

Adaptation and Self-Organizing Systems · Physics 2023-03-08 X. San Liang

Over the past two decades, the rapid surge in data-intensive computational techniques for statistical modeling may have had the effect of diminishing the use of applied mathematics in causal scientific inquiry. In this paper, co-authored by…

History and Philosophy of Physics · Physics 2026-05-13 Marzieh Asgari-Targhi , Amene Asgari-Targhi , Mahboubeh Asgari-Targhi , Edward J. , Hall

Given two time series, can one tell, in a rigorous and quantitative way, the cause and effect between them? Based on a recently rigorized physical notion namely information flow, we arrive at a concise formula and give this challenging…

Methodology · Statistics 2014-03-27 X. San Liang

We present a new framework for learning Granger causality networks for multivariate categorical time series, based on the mixture transition distribution (MTD) model. Traditionally, MTD is plagued by a nonconvex objective,…

Methodology · Statistics 2017-06-12 Alex Tank , Emily B. Fox , Ali Shojaie

The use of observational time series data to assess the impact of multi-time point interventions is becoming increasingly common as more health and activity data are collected and digitized via wearables, social media, and electronic health…

Methodology · Statistics 2020-12-01 Roy Adams , Suchi Saria , Michael Rosenblum

Contagion is an extremely important topic in finance. Contagion is at the core of most major financial crises, in particular the 2008 financial crisis. Although various approaches to quantifying contagion have been proposed, many of them…

Statistical Finance · Quantitative Finance 2021-12-28 Katerina Rigana , Ernst-Jan Camiel Wit , Samantha Cook

In this paper we test for Granger causality in high-dimensional vector autoregressive models (VARs) to disentangle and interpret the complex causal chains linking radiative forcings and global temperatures. By allowing for high…

Econometrics · Economics 2024-06-04 Marina Friedrich , Luca Margaritella , Stephan Smeekes

This paper presents a methodological approach to financial time series analysis by combining causal discovery and uncertainty-aware forecasting. As a case study, we focus on four key U.S. macroeconomic indicators -- GDP, economic growth,…

Machine Learning · Computer Science 2025-10-27 Federico Cerutti

Many multivariate time series anomaly detection frameworks have been proposed and widely applied. However, most of these frameworks do not consider intrinsic relationships between variables in multivariate time series data, thus ignoring…

Machine Learning · Computer Science 2025-08-11 Falih Gozi Febrinanto , Kristen Moore , Chandra Thapa , Mujie Liu , Vidya Saikrishna , Jiangang Ma , Feng Xia

We provide theoretical and empirical evidence for a type of asymmetry between causes and effects that is present when these are related via linear models contaminated with additive non-Gaussian noise. Assuming that the causes and the…

Machine Learning · Statistics 2016-02-23 Daniel Hernández-Lobato , Pablo Morales-Mombiela , David Lopez-Paz , Alberto Suárez

Detecting and localizing change points in sequential data is of interest in many areas of application. Various notions of change points have been proposed, such as changes in mean, variance, or the linear regression coefficient. In this…

Methodology · Statistics 2024-03-20 Shimeng Huang , Jonas Peters , Niklas Pfister

Inferring the effect of interventions within complex systems is a fundamental problem of statistics. A widely studied approach employs structural causal models that postulate noisy functional relations among a set of interacting variables.…

Methodology · Statistics 2024-02-14 David Strieder , Mathias Drton

Dependence between nodes in a network is an important concept that pervades many areas including finance, politics, sociology, genomics and the brain sciences. One way to characterize dependence between components of a multivariate time…

Machine Learning · Statistics 2024-08-08 Malik Shahid Sultan , Samuel Horvath , Hernando Ombao

This study establishes the causal effects of market sentiment on firm profitability, moving beyond traditional correlational analyses. It leverages a causal forest machine learning methodology to control for numerous confounding variables,…

Computational Finance · Quantitative Finance 2026-02-23 Krishna Neupane , Prem Sapkota , Ujjwal Prajapati