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Learning causal relationships between pairs of complex traits from observational studies is of great interest across various scientific domains. However, most existing methods assume the absence of unmeasured confounding and restrict causal…

Methodology · Statistics 2024-07-17 Wei Li , Rui Duan , Sai Li

Inferring causal structures from time series data is the central interest of many scientific inquiries. A major barrier to such inference is the problem of subsampling, i.e., the frequency of measurement is much lower than that of causal…

Machine Learning · Computer Science 2023-12-27 Mingzhou Liu , Xinwei Sun , Lingjing Hu , Yizhou Wang

We propose a novel score-based causal discovery method, named ABIC LiNGAM, which extends the linear non-Gaussian acyclic model (LiNGAM) framework to address the challenges of causal structure estimation in scenarios involving unmeasured…

Methodology · Statistics 2025-01-23 Yoshimitsu Morinishi , Shohei Shimizu

Mutual information (MI) is a fundamental measure of statistical dependence between two variables, yet accurate estimation from finite data remains notoriously difficult. No estimator is universally reliable, and common approaches fail in…

Data Analysis, Statistics and Probability · Physics 2025-10-02 Eslam Abdelaleem , K. Michael Martini , Ilya Nemenman

Causal inference from observational data following the restricted structural causal model (SCM) framework hinges largely on the asymmetry between cause and effect from the data generating mechanisms, such as non-Gaussianity or nonlinearity.…

Methodology · Statistics 2021-09-06 Kang Du , Yu Xiang

Mutual information (MI) is a useful information-theoretic measure to quantify the statistical dependence between two random variables: $X$ and $Y$. Often, we are interested in understanding how the dependence between $X$ and $Y$ in one set…

Information Theory · Computer Science 2025-07-22 Chetan Gohil , Oliver M Cliff , James M. Shine , Ben D. Fulcher , Joseph T. Lizier

This paper deals with the problem of evaluating the causal effect using observational data in the presence of an unobserved exposure/ outcome variable, when cause-effect relationships between variables can be described as a directed acyclic…

Methodology · Statistics 2012-06-18 Manabu Kuroki , Zhihong Cai

We address the problem of inferring the causal direction between a continuous variable $X$ and a discrete variable $Y$ from observational data. For the model $X \to Y$, we adopt the threshold model used in prior work. For the model $Y \to…

Machine Learning · Computer Science 2026-02-27 Takashi Nicholas Maeda , Shohei Shimizu , Hidetoshi Matsui

Estimating causal interactions in complex dynamical systems is an important problem encountered in many fields of current science. While a theoretical solution for detecting the causal interactions has been previously formulated in the…

Data Analysis, Statistics and Probability · Physics 2020-01-20 Jakub Kořenek , Jaroslav Hlinka

Mutual information (MI) is a general measure of statistical dependence with widespread application across the sciences. However, estimating MI between multi-dimensional variables is challenging because the number of samples necessary to…

Quantitative Methods · Quantitative Biology 2025-03-06 Gokul Gowri , Xiao-Kang Lun , Allon M. Klein , Peng Yin

Distance metric learning is successful in discovering intrinsic relations in data. However, most algorithms are computationally demanding when the problem size becomes large. In this paper, we propose a discriminative metric learning…

Machine Learning · Computer Science 2019-05-15 Jun Li , Xun Lin , Xiaoguang Rui , Yong Rui , Dacheng Tao

Difference-in-differences (DiD) is a cornerstone of causal inference, yet extending it to functional outcomes is not a routine scalar generalization; rather, it entails three fundamental challenges in identification, inference, and…

Methodology · Statistics 2026-05-29 Junzhu Nie , Chengxiu Ling , Mengfei Ran

Evaluating graphs learned by causal discovery algorithms is difficult: The number of edges that differ between two graphs does not reflect how the graphs differ with respect to the identifying formulas they suggest for causal effects. We…

Machine Learning · Statistics 2024-07-12 Leonard Henckel , Theo Würtzen , Sebastian Weichwald

Exploiting the geometric nature of statistical divergences, we devise a way to define associated induced uncertainty measures for discrete and finite probability distributions. We also report new uncertainty measures and discuss their…

Quantum Physics · Physics 2021-06-29 Gautam Sharma , Sk Sazim

If $X,Y,Z$ denote sets of random variables, two different data sources may contain samples from $P_{X,Y}$ and $P_{Y,Z}$, respectively. We argue that causal inference can help inferring properties of the 'unobserved joint distributions'…

Statistics Theory · Mathematics 2018-05-18 Dominik Janzing

Inferring causal directions on discrete and categorical data is an important yet challenging problem. Even though the additive noise models (ANMs) approach can be adapted to the discrete data, the functional structure assumptions make it…

Machine Learning · Statistics 2021-09-02 Austin Goddard , Yu Xiang

This paper explores the use of unstructured, multimodal data, namely text and images, in causal inference and treatment effect estimation. We propose a neural network architecture that is adapted to the double machine learning (DML)…

Machine Learning · Computer Science 2024-02-06 Sven Klaassen , Jan Teichert-Kluge , Philipp Bach , Victor Chernozhukov , Martin Spindler , Suhas Vijaykumar

This paper develops new methodology, together with related theories, for combining information from independent studies through confidence distributions. A formal definition of a confidence distribution and its asymptotic counterpart (i.e.,…

Statistics Theory · Mathematics 2007-06-13 Kesar Singh , Minge Xie , William E. Strawderman

A measure to estimate the direct and directional coupling in multivariate time series is proposed. The measure is an extension of a recently published measure of conditional Mutual Information from Mixed Embedding (MIME) for bivariate time…

Data Analysis, Statistics and Probability · Physics 2015-06-16 Dimitris Kugiumtzis

In our recent works, we developed a probabilistic framework for structural analysis in undirected networks. The key idea of that framework is to sample a network by a symmetric bivariate distribution and then use that bivariate distribution…

Social and Information Networks · Computer Science 2015-10-19 Cheng-Shang Chang , Duan-Shin Lee , Li-Heng Liou , Sheng-Min Lu , Mu-Huan Wu
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