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This paper introduces a new framework for recovering causal graphs from observational data, leveraging the observation that the distribution of an effect, conditioned on its causes, remains invariant to changes in the prior distribution of…

Machine Learning · Computer Science 2026-02-04 Nang Hung Nguyen , Phi Le Nguyen , Thao Nguyen Truong , Trong Nghia Hoang , Masashi Sugiyama

Components of biological systems interact with each other in order to carry out vital cell functions. Such information can be used to improve estimation and inference, and to obtain better insights into the underlying cellular mechanisms.…

Machine Learning · Statistics 2010-07-06 Ali Shojaie , George Michailidis

The cross correlation matrix between equities comprises multiple interactions between traders with varying strategies and time horizons. In this paper, we use the Maximum Overlap Discrete Wavelet Transform to calculate correlation matrices…

Statistical Finance · Quantitative Finance 2010-01-05 Thomas Conlon , Heather J. Ruskin , Martin Crane

In this paper, we analyze the applicability of the Causal Identification algorithm to causal time series graphs with latent confounders. Since these graphs extend over infinitely many time steps, deciding whether causal effects across…

Machine Learning · Computer Science 2025-04-30 Erik Jahn , Karthik Karnik , Leonard J. Schulman

We present an original and novel method based on random matrix approach that enables to distinguish the respective role of temporal autocorrelations inside given time series and cross correlations between various time series. The proposed…

Data Analysis, Statistics and Probability · Physics 2014-07-18 Michal Sawa , Dariusz Grech

Inferring nonlinear and asymmetric causal relationships between multivariate longitudinal data is a challenging task with wide-ranging application areas including clinical medicine, mathematical biology, economics and environmental…

Methodology · Statistics 2021-08-25 Tom Edinburgh , Stephen J. Eglen , Ari Ercole

Granger causality is widely used for causal structure discovery in complex systems from multivariate time series data. Traditional Granger causality tests based on linear models often fail to detect even mild non-linear causal…

Machine Learning · Computer Science 2025-10-23 Ziyi Zhang , Shaogang Ren , Xiaoning Qian , Nick Duffield

Reconstructing the causal relationships behind the phenomena we observe is a fundamental challenge in all areas of science. Discovering causal relationships through experiments is often infeasible, unethical, or expensive in complex…

Machine Learning · Statistics 2022-09-09 Christian Reiser

We consider causal models with two observed variables and one latent variables, each variable being discrete, with the goal of characterizing the possible distributions on outcomes that can result from controlling one of the observed…

Information Theory · Computer Science 2021-03-05 Kevin Shu

Inference of causality in time series has been principally based on the prediction paradigm. Nonetheless, the predictive causality approach may overlook the simultaneous and reciprocal nature of causal interactions observed in real world…

Data Analysis, Statistics and Probability · Physics 2018-10-24 Albert C. Yang , Norden E. Huang , Chung-Kang Peng

Causality in time series can be challenging to determine, especially in the presence of non-linear dependencies. Granger causality helps analyze potential relationships between variables, thereby offering a method to determine whether one…

Machine Learning · Computer Science 2025-10-13 Harsh Poonia , Felix Divo , Kristian Kersting , Devendra Singh Dhami

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

Multivariate time series anomaly detection has numerous real-world applications and is being extensively studied. Modeling pairwise correlations between variables is crucial. Existing methods employ learnable graph structures and graph…

Machine Learning · Computer Science 2025-01-24 Zehao Liu , Mengzhou Gao , Pengfei Jiao

Granger causality has been employed to investigate causality relations between components of stationary multiple time series. We generalize this concept by developing statistical inference for local Granger causality for multivariate…

Methodology · Statistics 2025-08-12 Yan Liu , Masanobu Taniguchi , Hernando Ombao

In modeling multivariate time series for either forecast or policy analysis, it would be beneficial to have figured out the cause-effect relations within the data. Regression analysis, however, is generally for correlation relation, and…

Machine Learning · Statistics 2021-11-23 Xingwei Hu

Inferring the causal direction and causal effect between two discrete random variables X and Y from a finite sample is often a crucial problem and a challenging task. However, if we have access to observational and interventional data, it…

Machine Learning · Statistics 2020-10-16 Peter Gmeiner

There are two issues in news-driven multi-stock movement prediction tasks that are not well solved in the existing works. On the one hand, "relation discovery" is a pivotal part when leveraging the price information of other stocks to…

Machine Learning · Computer Science 2024-11-12 Shuqi Li , Yuebo Sun , Yuxin Lin , Xin Gao , Shuo Shang , Rui Yan

Identifying risk spillovers in financial markets is of great importance for assessing systemic risk and portfolio management. Granger causality in tail (or in risk) tests whether past extreme events of a time series help predicting future…

Risk Management · Quantitative Finance 2021-05-07 Piero Mazzarisi , Silvia Zaoli , Carlo Campajola , Fabrizio Lillo

In multivariate time series systems, key insights can be obtained by discovering lead-lag relationships inherent in the data, which refer to the dependence between two time series shifted in time relative to one another, and which can be…

Machine Learning · Statistics 2023-09-20 Yichi Zhang , Mihai Cucuringu , Alexander Y. Shestopaloff , Stefan Zohren

Methods to identify cause-effect relationships currently mostly assume the variables to be scalar random variables. However, in many fields the objects of interest are vectors or groups of scalar variables. We present a new constraint-based…

Methodology · Statistics 2022-12-02 Jonas Wahl , Urmi Ninad , Jakob Runge