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We address the problem of causal effect estimation in the presence of hidden confounders, using nonparametric instrumental variable (IV) regression. A leading strategy employs spectral features - that is, learned features spanning the top…

机器学习 · 统计学 2025-11-27 Dimitri Meunier , Antoine Moulin , Jakub Wornbard , Vladimir R. Kostic , Arthur Gretton

The technique of data augmentation (DA) is often used in machine learning for regularization purposes to better generalize under i.i.d. settings. In this work, we present a unifying framework with topics in causal inference to make a case…

机器学习 · 计算机科学 2026-02-02 Uzair Akbar , Niki Kilbertus , Hao Shen , Krikamol Muandet , Bo Dai

Recovering causal structure in the presence of latent variables is an important but challenging task. While many methods have been proposed to handle it, most of them require strict and/or untestable assumptions on the causal structure. In…

机器学习 · 计算机科学 2025-10-28 Wei Chen , Linjun Peng , Zhiyi Huang , Haoyue Dai , Zhifeng Hao , Ruichu Cai , Kun Zhang

We investigate the problem of inferring the causal predictors of a response $Y$ from a set of $d$ explanatory variables $(X^1,\dots,X^d)$. Classical ordinary least squares regression includes all predictors that reduce the variance of $Y$.…

统计理论 · 数学 2018-05-29 Niklas Pfister , Peter Bühlmann , Jonas Peters

Applied macroeconomists frequently use impulse response estimators motivated by linear models. We study whether the estimands of such procedures have a causal interpretation when the true data generating process is in fact nonlinear. We…

计量经济学 · 经济学 2025-11-18 Michal Kolesár , Mikkel Plagborg-Møller

Given a response $Y$ and a vector $X = (X^1, \dots, X^d)$ of $d$ predictors, we investigate the problem of inferring direct causes of $Y$ among the vector $X$. Models for $Y$ that use all of its causal covariates as predictors enjoy the…

统计理论 · 数学 2020-03-12 Rune Christiansen , Jonas Peters

Standard regression adjustment gives inconsistent estimates of causal effects when there are time-varying treatment effects and time-varying covariates. Loosely speaking, the issue is that some covariates are post-treatment variables…

统计方法学 · 统计学 2024-03-12 Stephen Bates , Edward Kennedy , Robert Tibshirani , Valerie Ventura , Larry Wasserman

We propose a method for inferring the existence of a latent common cause ('confounder') of two observed random variables. The method assumes that the two effects of the confounder are (possibly nonlinear) functions of the confounder plus…

机器学习 · 统计学 2012-05-14 Dominik Janzing , Jonas Peters , Joris Mooij , Bernhard Schoelkopf

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'…

统计理论 · 数学 2018-05-18 Dominik Janzing

Causal discovery from i.i.d. observational data is known to be generally ill-posed. We demonstrate that if we have access to the distribution {induced} by a structural causal model, and additional data from (in the best case) \textit{only…

机器学习 · 统计学 2026-05-15 Francesco Montagna

Canonical correlation analysis (CCA) is a classic statistical method for discovering latent co-variation that underpins two or more observed random vectors. Several extensions and variations of CCA have been proposed that have strengthened…

机器学习 · 计算机科学 2023-12-22 Paris A. Karakasis , Nicholas D. Sidiropoulos

Many causal models of interest in epidemiology involve longitudinal exposures, confounders and mediators. However, repeated measurements are not always available or used in practice, leading analysts to overlook the time-varying nature of…

统计方法学 · 统计学 2023-02-21 Lola Etievant , Vivian Viallon

Algorithms for constraint-based causal discovery select graphical causal models among a space of possible candidates (e.g., all directed acyclic graphs) by executing a sequence of conditional independence tests. These may be used to inform…

统计方法学 · 统计学 2025-09-19 Ting-Hsuan Chang , Zijian Guo , Daniel Malinsky

Visual representations underlie object recognition tasks, but they often contain both robust and non-robust features. Our main observation is that image classifiers may perform poorly on out-of-distribution samples because spurious…

计算机视觉与模式识别 · 计算机科学 2022-04-27 Chengzhi Mao , Kevin Xia , James Wang , Hao Wang , Junfeng Yang , Elias Bareinboim , Carl Vondrick

This paper investigates causal effect identification in latent variable Linear Non-Gaussian Acyclic Models (lvLiNGAM) using higher-order cumulants, addressing two prominent setups that are challenging in the presence of latent confounding:…

Causal models seek to unravel the cause-effect relationships among variables from observed data, as opposed to mere mappings among them, as traditional regression models do. This paper introduces a novel causal discovery algorithm designed…

机器学习 · 计算机科学 2024-10-03 Saeed Mohseni-Sehdeh , Walid Saad

The inaccessibility of controlled randomized trials due to inherent constraints in many fields of science has been a fundamental issue in causal inference. In this paper, we focus on distinguishing the cause from effect in the bivariate…

机器学习 · 统计学 2021-02-23 Jean-Francois Ton , Dino Sejdinovic , Kenji Fukumizu

Making causal inferences from observational studies can be challenging when confounders are missing not at random. In such cases, identifying causal effects is often not guaranteed. Motivated by a real example, we consider a…

统计方法学 · 统计学 2023-10-31 Jian Sun , Bo Fu

We consider graphical models based on a recursive system of linear structural equations. This implies that there is an ordering, $\sigma$, of the variables such that each observed variable $Y_v$ is a linear function of a variable specific…

统计方法学 · 统计学 2019-06-28 Y. Samuel Wang , Mathias Drton

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