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We present a domain-general account of causation that applies to settings in which macro-level causal relations between two systems are of interest, but the relevant causal features are poorly understood and have to be aggregated from vast…

机器学习 · 统计学 2015-12-29 Krzysztof Chalupka , Pietro Perona , Frederick Eberhardt

This paper considers the problem of learning, from samples, the dependency structure of a system of linear stochastic differential equations, when some of the variables are latent. In particular, we observe the time evolution of some…

机器学习 · 计算机科学 2012-05-02 Ali Jalali , Sujay Sanghavi

Identifying latent variables and the causal structure involving them is essential across various scientific fields. While many existing works fall under the category of constraint-based methods (with e.g. conditional independence or rank…

机器学习 · 计算机科学 2026-05-21 Ignavier Ng , Xinshuai Dong , Haoyue Dai , Biwei Huang , Peter Spirtes , Kun Zhang

We introduce tree linear cascades, a class of linear structural equation models for which the error variables are uncorrelated but need not be Gaussian nor independent. We show that, in spite of this weak assumption, the tree structure of…

统计方法学 · 统计学 2022-02-16 Nicholas C. Landolfi , Sanjay Lall

An old problem in multivariate statistics is that linear Gaussian models are often unidentifiable, i.e. some parameters cannot be uniquely estimated. In factor (component) analysis, an orthogonal rotation of the factors is unidentifiable,…

机器学习 · 统计学 2023-05-04 Aapo Hyvärinen , Ilyes Khemakhem , Ricardo Monti

We introduce an approach which allows detecting causal relationships between variables for which the time evolution is available. Causality is assessed by a variational scheme based on the Information Imbalance of distance ranks, a…

统计方法学 · 统计学 2024-05-07 Vittorio Del Tatto , Gianfranco Fortunato , Domenica Bueti , Alessandro Laio

It is "well known" that in linear models: (1) testable constraints on the marginal distribution of observed variables distinguish certain cases in which an unobserved cause jointly influences several observed variables; (2) the technique of…

人工智能 · 计算机科学 2013-01-14 David Danks , Clark Glymour

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…

机器学习 · 计算机科学 2026-02-04 Nang Hung Nguyen , Phi Le Nguyen , Thao Nguyen Truong , Trong Nghia Hoang , Masashi Sugiyama

We consider the problem of causal discovery (structure learning) from heterogeneous observational data. Most existing methods assume a homogeneous sampling scheme, which leads to misleading conclusions when violated in many applications. To…

统计方法学 · 统计学 2022-02-01 Fangting Zhou , Kejun He , Yang Ni

Prediction invariance of causal models under heterogeneous settings has been exploited by a number of recent methods for causal discovery, typically focussing on recovering the causal parents of a target variable of interest. Existing…

统计方法学 · 统计学 2026-03-10 Alice Polinelli , Veronica Vinciotti , Ernst C. Wit

Causal models with unobserved variables impose nontrivial constraints on the distributions over the observed variables. When a common cause of two variables is unobserved, it is impossible to uncover the causal relation between them without…

统计理论 · 数学 2021-12-14 Beata Zjawin , Elie Wolfe , Robert W. Spekkens

In this study, we address causal inference when only observational data and a valid causal ordering from the causal graph are available. We introduce a set of flow models that can recover component-wise, invertible transformation of…

机器学习 · 计算机科学 2024-12-16 Minh Khoa Le , Kien Do , Truyen Tran

Multivariate time series in domains such as finance, climate science, and healthcare often exhibit long-term trends, seasonal patterns, and short-term fluctuations, complicating causal inference under non-stationarity and autocorrelation.…

机器学习 · 计算机科学 2026-04-29 Muhammad Hasan Ferdous , Md Osman Gani

One of the common obstacles for learning causal models from data is that high-order conditional independence (CI) relationships between random variables are difficult to estimate. Since CI tests with conditioning sets of low order can be…

机器学习 · 计算机科学 2020-10-07 Marcel Wienöbst , Maciej Liśkiewicz

Empirical research in many social disciplines involves constructs that are not directly observable, such as behaviors. To model them, constructs must be operationalized using their relations with indicators. Structural equation modeling…

统计方法学 · 统计学 2025-07-30 Jonas Bauer , Axel Mayer , Christiane Fuchs , Tamara Schamberger

We describe a formal approach to identify 'root causes' of outliers observed in $n$ variables $X_1,\dots,X_n$ in a scenario where the causal relation between the variables is a known directed acyclic graph (DAG). To this end, we first…

机器学习 · 统计学 2019-12-06 Dominik Janzing , Kailash Budhathoki , Lenon Minorics , Patrick Blöbaum

Graphs from complex systems often share a partial underlying structure across domains while retaining individual features. Thus, identifying common structures can shed light on the underlying signal, for instance, when applied to scientific…

统计方法学 · 统计学 2022-04-05 Katherine Tsai , Oluwasanmi Koyejo , Mladen Kolar

With observational data alone, causal structure learning is a challenging problem. The task becomes easier when having access to data collected from perturbations of the underlying system, even when the nature of these is unknown. Existing…

统计方法学 · 统计学 2023-10-10 Armeen Taeb , Juan L. Gamella , Christina Heinze-Deml , Peter Bühlmann

The task of inferring high-level causal variables from low-level observations, commonly referred to as causal representation learning, is fundamentally underconstrained. As such, recent works to address this problem focus on various…

机器学习 · 统计学 2024-03-26 Simon Bing , Urmi Ninad , Jonas Wahl , Jakob Runge

Causal structure learning has been a challenging task in the past decades and several mainstream approaches such as constraint- and score-based methods have been studied with theoretical guarantees. Recently, a new approach has transformed…

机器学习 · 计算机科学 2019-11-19 Ignavier Ng , Shengyu Zhu , Zhitang Chen , Zhuangyan Fang