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The discovery of causal relationships from purely observational data is a fundamental problem in science. The most elementary form of such a causal discovery problem is to decide whether X causes Y or, alternatively, Y causes X, given joint…

机器学习 · 计算机科学 2016-05-03 Joris M. Mooij , Jonas Peters , Dominik Janzing , Jakob Zscheischler , Bernhard Schölkopf

Identifying the causal relations between interested variables plays a pivotal role in representation learning as it provides deep insights into the dataset. Identifiability, as the central theme of this approach, normally hinges on…

机器学习 · 计算机科学 2024-08-13 Boyang Sun , Ignavier Ng , Guangyi Chen , Yifan Shen , Qirong Ho , Kun Zhang

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…

Nonlinear independent component analysis (ICA) aims to uncover the true latent sources from their observable nonlinear mixtures. Despite its significance, the identifiability of nonlinear ICA is known to be impossible without additional…

机器学习 · 计算机科学 2023-11-03 Yujia Zheng , Kun Zhang

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.…

统计方法学 · 统计学 2021-09-06 Kang Du , Yu Xiang

An important task in data analysis is the discovery of causal relationships between observed variables. For continuous-valued data, linear acyclic causal models are commonly used to model the data-generating process, and the inference of…

In recent years, there has been growing interest in jointly analyzing a foreground dataset, representing an experimental group, and a background dataset, representing a control group. The goal of such contrastive investigations is to…

统计理论 · 数学 2026-01-27 Kexin Wang , Aida Maraj , Anna Seigal

Independent component analysis (ICA) is a computational method for separating a multivariate signal into subcomponents assuming the mutual statistical independence of the non-Gaussian source signals. The classical Independent Components…

信息论 · 计算机科学 2015-05-19 Huy Nguyen , Rong Zheng

Treatment non-compliance, where individuals deviate from their assigned experimental conditions, frequently complicates the estimation of causal effects. To address this, we introduce a novel learning framework based on a mixture of experts…

统计方法学 · 统计学 2025-06-25 François Grolleau , Céline Béji , Raphaël Porcher , François Petit

We consider the problem of inferring the causal structure from observational data, especially when the structure is sparse. This type of problem is usually formulated as an inference of a directed acyclic graph (DAG) model. The linear…

机器学习 · 统计学 2025-08-21 Kazuharu Harada , Hironori Fujisawa

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

机器学习 · 计算机科学 2024-05-30 Kang Du , Yu Xiang

Causal representation learning in the anti-causal setting (labels cause features rather than the reverse) presents unique challenges requiring specialized approaches. We propose Anti-Causal Invariant Abstractions (ACIA), a novel…

机器学习 · 计算机科学 2025-10-22 Arman Behnam , Binghui Wang

Causal inference uses observations to infer the causal structure of the data generating system. We study a class of functional models that we call Time Series Models with Independent Noise (TiMINo). These models require independent residual…

机器学习 · 统计学 2016-08-18 Jonas Peters , Dominik Janzing , Bernhard Schölkopf

This paper develops a general causal inference method for treatment effects models with noisily measured confounders. The key feature is that a large set of noisy measurements are linked with the underlying latent confounders through an…

计量经济学 · 经济学 2021-10-14 Yingjie Feng

We propose a method to detect model misspecifications in nonlinear causal additive and potentially heteroscedastic noise models. We aim to identify predictor variables for which we can infer the causal effect even in cases of such…

统计方法学 · 统计学 2024-03-28 Christoph Schultheiss , Peter Bühlmann

We introduce coroICA, confounding-robust independent component analysis, a novel ICA algorithm which decomposes linearly mixed multivariate observations into independent components that are corrupted (and rendered dependent) by hidden…

机器学习 · 统计学 2019-10-31 Niklas Pfister , Sebastian Weichwald , Peter Bühlmann , Bernhard Schölkopf

In observational studies, potential unobserved confounding is a major barrier in isolating the average causal effect (ACE). In these scenarios, two main approaches are often used: confounder adjustment for causality (CAC) and instrumental…

统计方法学 · 统计学 2024-11-26 Roy S. Zawadzki , Daniel L. Gillen

Causal inference in a nonlinear system of multivariate timeseries is instrumental in disentangling the intricate web of relationships among variables, enabling us to make more accurate predictions and gain deeper insights into real-world…

机器学习 · 计算机科学 2024-01-17 Wasim Ahmad , Maha Shadaydeh , Joachim Denzler

Estimating causal effects from observational data requires identifying valid adjustment sets. This task is especially challenging in realistic settings where latent confounding and feedback loops are present. Existing approaches typically…

机器学习 · 计算机科学 2026-05-08 Ana Leticia Garcez Vicente , Gijs van Seeventer , Saber Salehkaleybar

We study causal inference in a multi-environment setting, in which the functional relations for producing the variables from their direct causes remain the same across environments, while the distribution of exogenous noises may vary. We…

机器学习 · 计算机科学 2017-05-29 AmirEmad Ghassami , Saber Salehkaleybar , Negar Kiyavash , Kun Zhang