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When dealing with time series data, causal inference methods often employ structural vector autoregressive (SVAR) processes to model time-evolving random systems. In this work, we rephrase recursive SVAR processes with possible latent…

统计理论 · 数学 2024-08-19 Nicolas-Domenic Reiter , Andreas Gerhardus , Jonas Wahl , Jakob Runge

Counterfactual inference is a useful tool for comparing outcomes of interventions on complex systems. It requires us to represent the system in form of a structural causal model, complete with a causal diagram, probabilistic assumptions on…

Causal discovery from observational and interventional data is challenging due to limited data and non-identifiability: factors that introduce uncertainty in estimating the underlying structural causal model (SCM). Selecting experiments…

机器学习 · 计算机科学 2022-10-24 Panagiotis Tigas , Yashas Annadani , Andrew Jesson , Bernhard Schölkopf , Yarin Gal , Stefan Bauer

We propose a method to infer causal structures containing both discrete and continuous variables. The idea is to select causal hypotheses for which the conditional density of every variable, given its causes, becomes smooth. We define a…

机器学习 · 统计学 2009-10-30 Dominik Janzing , Xiaohai Sun , Bernhard Schoelkopf

We consider the problem of causal discovery (a.k.a., causal structure learning) in a multi-domain setting. We assume that the causal functions are invariant across the domains, while the distribution of the exogenous noise may vary. Under…

机器学习 · 计算机科学 2025-05-01 Kasra Jalaldoust , Saber Salehkaleybar , Negar Kiyavash

Copula models of multivariate data are popular because they allow separate specification of marginal distributions and the copula function. These components can be treated as inter-related modules in a modified Bayesian inference approach…

统计方法学 · 统计学 2026-04-03 Lucas Kock , David T. Frazier , Michael Stanley Smith , David J. Nott

Due to unmeasured confounding, it is often not possible to identify causal effects from a postulated model. Nevertheless, we can ask for partial identification, which usually boils down to finding upper and lower bounds of a causal quantity…

机器学习 · 统计学 2022-03-01 Jakob Zeitler , Ricardo Silva

To unbiasedly estimate a causal effect on an outcome unconfoundedness is often assumed. If there is sufficient knowledge on the underlying causal structure then existing confounder selection criteria can be used to select subsets of the…

统计方法学 · 统计学 2017-03-20 Jenny Häggström

In this paper, we address the challenge of performing counterfactual inference with observational data via Bayesian nonparametric regression adjustment, with a focus on high-dimensional settings featuring multiple actions and multiple…

机器学习 · 计算机科学 2022-11-22 Alberto Caron , Gianluca Baio , Ioanna Manolopoulou

We study the problem of experimental design for accurately identifying the causal graph structure of a simple structural causal model (SCM), where the underlying graph may include both cycles and bidirected edges induced by latent…

机器学习 · 统计学 2025-09-03 Haijie Xu , Chen Zhang

In observational studies, treatment may be adapted to covariates at several times without a fixed protocol, in continuous time. Treatment influences covariates, which influence treatment, which influences covariates, and so on. Then even…

统计理论 · 数学 2015-09-02 Judith J. Lok

The traditional two-stage approach to causal inference first identifies a single causal model (or equivalence class of models), which is then used to answer causal queries. However, this neglects any epistemic model uncertainty. In…

机器学习 · 计算机科学 2025-04-25 Christian Toth , Christian Knoll , Franz Pernkopf , Robert Peharz

We introduce a new formulation of structural causal models for extremes, called the extremal structural causal model (eSCM). Unlike conventional structural causal models, where randomness is governed by a probability distribution, eSCMs use…

统计理论 · 数学 2026-05-27 Shuyang Bai , Fei Fang , Tiandong Wang

Marginal structural models (MSMs) are often used to estimate causal effects of treatments on survival time outcomes from observational data when time-dependent confounding may be present. They can be fitted using, e.g., inverse probability…

统计方法学 · 统计学 2023-12-27 Shaun R Seaman , Ruth H Keogh

Learning the causal structure that underlies data is a crucial step towards robust real-world decision making. The majority of existing work in causal inference focuses on determining a single directed acyclic graph (DAG) or a Markov…

We study the computational complexity of counterfactual reasoning in relation to the complexity of associational and interventional reasoning on structural causal models (SCMs). We show that counterfactual reasoning is no harder than…

人工智能 · 计算机科学 2023-05-22 Yunqiu Han , Yizuo Chen , Adnan Darwiche

Estimating the effect of intervention from observational data while accounting for confounding variables is a key task in causal inference. Oftentimes, the confounders are unobserved, but we have access to large amounts of additional…

机器学习 · 计算机科学 2022-12-13 Shachi Deshpande , Kaiwen Wang , Dhruv Sreenivas , Zheng Li , Volodymyr Kuleshov

Neurally-parameterized Structural Causal Models in the Pearlian notion to causality, referred to as NCM, were recently introduced as a step towards next-generation learning systems. However, said NCM are only concerned with the learning…

机器学习 · 计算机科学 2022-12-27 Matej Zečević , Devendra Singh Dhami , Kristian Kersting

Markov networks are popular models for discrete multivariate systems where the dependence structure of the variables is specified by an undirected graph. To allow for more expressive dependence structures, several generalizations of Markov…

统计方法学 · 统计学 2021-03-30 Johan Pensar , Henrik Nyman , Jukka Corander

Explanatory studies, such as randomized controlled trials, are targeted to extract the true causal effect of interventions on outcomes and are by design adjusted for covariates through randomization. On the contrary, observational studies…

统计方法学 · 统计学 2022-05-02 Riddhiman Adib , Sheikh Iqbal Ahamed , Mohammad Adibuzzaman