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We develop a novel identification strategy as well as a new estimator for context-dependent causal inference in non-parametric triangular models with non-separable disturbances. Departing from the common practice, our analysis does not rely…

Econometrics · Economics 2024-04-09 Nir Billfeld , Moshe Kim

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

Scientific practice typically involves repeatedly studying a system, each time trying to unravel a different perspective. In each study, the scientist may take measurements under different experimental conditions (interventions,…

Machine Learning · Statistics 2014-03-11 Sofia Triantafillou , Ioannis Tsamardinos

Causal probing methods aim to test and control how internal representations influence the behavior of generative models. In causal probing, an intervention modifies hidden states so that a property takes on a different value. Most existing…

Artificial Intelligence · Computer Science 2026-05-11 Sadegh Khorasani , Saber Salehkaleybar , Negar Kiyavash , Matthias Grossglauser

Previous studies have shown that hazard ratios between treatment groups estimated with the Cox model are uninterpretable because the unspecified baseline hazard of the model fails to identify temporal change in the risk set composition due…

Machine Learning · Statistics 2025-09-04 Takashi Hayakawa , Satoshi Asai

Bivariate causal direction identification is a fundamental and vital problem in the causal inference field. Among binary causal methods, most methods based on additive noise only use one single causal mechanism to construct a causal model.…

Artificial Intelligence · Computer Science 2025-07-30 Saixiong Liu , Yuhua Qian , Jue Li , Honghong Cheng , Feijiang Li

The mainstream of research in genetics, epigenetics and imaging data analysis focuses on statistical association or exploring statistical dependence between variables. Despite their significant progresses in genetic research, understanding…

Genomics · Quantitative Biology 2018-05-14 Rong Jiao , Nan Lin , Zixin Hu , David A Bennett , Li Jin , Momiao Xiong

Understanding causal relationships among features is fundamental for explaining machine learning model decisions. However, traditional causal discovery methods face challenges with categorical variables due to numerical instability in…

Artificial Intelligence · Computer Science 2026-01-30 Henry Salgado , Meagan R. Kendall , Martine Ceberio

Measurements of systems taken along a continuous functional dimension, such as time or space, are ubiquitous in many fields, from the physical and biological sciences to economics and engineering.Such measurements can be viewed as…

Change point detection in time series aims to identify moments when the probability distribution of time series changes. It is widely applied in many areas, such as human activity sensing and medical science. In the context of multivariate…

Machine Learning · Computer Science 2025-07-15 Shanyun Gao , Raghavendra Addanki , Tong Yu , Ryan A. Rossi , Murat Kocaoglu

Causality has been combined with machine learning to produce robust representations for domain generalization. Most existing methods of this type require massive data from multiple domains to identify causal features by cross-domain…

Machine Learning · Computer Science 2024-03-01 Yang Chen , Yitao Liang , Zhouchen Lin

Identifying causal relationships in climate systems remains challenging due to nonlinear, coupled dynamics that limit the effectiveness of linear and stochastic causal discovery approaches. This study benchmarks Convergence Cross Mapping…

Applications · Statistics 2025-10-23 Francis Nji , Seraj Al Mahmud Mostafa , Jianwu Wang

Embedding probability distributions into reproducing kernel Hilbert spaces (RKHS) has enabled powerful nonparametric methods such as the maximum mean discrepancy (MMD), a statistical distance with strong theoretical and computational…

Machine Learning · Statistics 2025-05-28 Masha Naslidnyk , Siu Lun Chau , François-Xavier Briol , Krikamol Muandet

Motivation: Algorithms that discover variables which are causally related to a target may inform the design of experiments. With observational gene expression data, many methods discover causal variables by measuring each variable's degree…

Quantitative Methods · Quantitative Biology 2014-07-30 Eric V. Strobl , Shyam Visweswaran

Causal discovery from observational data is an important tool in many branches of science. Under certain assumptions it allows scientists to explain phenomena, predict, and make decisions. In the large sample limit, sound and complete…

Machine Learning · Statistics 2021-07-13 Shami Nisimov , Yaniv Gurwicz , Raanan Y. Rohekar , Gal Novik

We propose a vector-valued regression problem whose solution is equivalent to the reproducing kernel Hilbert space (RKHS) embedding of the Bayesian posterior distribution. This equivalence provides a new understanding of kernel Bayesian…

Machine Learning · Statistics 2016-10-27 Yang Song , Jun Zhu , Yong Ren

We develop new methods to integrate experimental and observational data in causal inference. While randomized controlled trials offer strong internal validity, they are often costly and therefore limited in sample size. Observational data,…

Econometrics · Economics 2025-11-04 Xuelin Yang , Licong Lin , Susan Athey , Michael I. Jordan , Guido W. Imbens

We give a causal inference scheme using quantum observations alone for a case with both temporal and spatial correlations: a bipartite quantum system with measurements at two times. The protocol determines compatibility with 5 causal…

Quantum Physics · Physics 2025-04-01 Xiangjing Liu , Yixian Qiu , Oscar Dahlsten , Vlatko Vedral

Causal analysis has become an essential component in understanding the underlying causes of phenomena across various fields. Despite its significance, existing literature on causal discovery algorithms is fragmented, with inconsistent…

Artificial Intelligence · Computer Science 2024-09-05 Wenjin Niu , Zijun Gao , Liyan Song , Lingbo Li

Discovering causal relations from observational data becomes possible with additional assumptions such as considering the functional relations to be constrained as nonlinear with additive noise (ANM). Even with strong assumptions, causal…

Machine Learning · Computer Science 2023-06-27 Pedro Sanchez , Xiao Liu , Alison Q O'Neil , Sotirios A. Tsaftaris