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Causality is essential for understanding complex systems, such as the economy, the brain, and the climate. Constructing causal graphs often relies on either data-driven or expert-driven approaches, both fraught with challenges. The former…

Ascertaining causal direction from observational data is a fundamental challenge in scientific inquiry. Of particular interest is the problem of covariate-adjusted bivariate causal discovery, i.e., determining the causal direction between X…

统计方法学 · 统计学 2025-07-30 Soumik Purkayastha , Peter X. -K. Song

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

The abundance of data produced daily from large variety of sources has boosted the need of novel approaches on causal inference analysis from observational data. Observational data often contain noisy or missing entries. Moreover, causal…

统计方法学 · 统计学 2017-03-14 Fani Tsapeli , Peter Tino , Mirco Musolesi

When causal quantities cannot be point identified, researchers often pursue partial identification to quantify the range of possible values. However, the peculiarities of applied research conditions can make this analytically intractable.…

统计方法学 · 统计学 2021-09-29 Guilherme Duarte , Noam Finkelstein , Dean Knox , Jonathan Mummolo , Ilya Shpitser

Pursuing invariant prediction from heterogeneous environments opens the door to learning causality in a purely data-driven way and has several applications in causal discovery and robust transfer learning. However, existing methods such as…

统计理论 · 数学 2025-01-30 Yihong Gu , Cong Fang , Yang Xu , Zijian Guo , Jianqing Fan

Causal inference is the process of using assumptions, study designs, and estimation strategies to draw conclusions about the causal relationships between variables based on data. This allows researchers to better understand the underlying…

机器学习 · 计算机科学 2022-12-13 Anpeng Wu , Kun Kuang , Ruoxuan Xiong , Fei Wu

Recently, the importance of analysing data and collecting valuable insight efficiently has been increasing in various fields. Estimating mutual information (MI) plays a critical role to investigate the relationship among multiple random…

量子物理 · 物理学 2025-03-10 Yota Maeda , Hideaki Kawaguchi , Hiroyuki Tezuka

Pairwise Causal Discovery is the task of determining causal, anticausal, confounded or independence relationships from pairs of variables. Over the last few years, this challenging task has promoted not only the discovery of novel machine…

机器学习 · 计算机科学 2022-12-05 Felipe Giori , Flavio Figueiredo

In this paper we introduce a kernel-based measure for detecting differences between two conditional distributions. Using the `kernel trick' and nearest-neighbor graphs, we propose a consistent estimate of this measure which can be computed…

统计方法学 · 统计学 2024-08-30 Anirban Chatterjee , Ziang Niu , Bhaswar B. Bhattacharya

The predominant method for evaluating the quality of causal models is to measure the graphical accuracy of the learned model structure. We present an alternative method for evaluating causal models that directly measures the accuracy of…

人工智能 · 计算机科学 2016-08-17 Dan Garant , David Jensen

Learning causal relationships is a fundamental problem in science. Anchor regression has been developed to address this problem for a large class of causal graphical models, though the relationships between the variables are assumed to be…

机器学习 · 统计学 2022-11-01 Wenqi Shi , Wenkai Xu

Weighting methods in causal inference have been widely used to achieve a desirable level of covariate balancing. However, the existing weighting methods have desirable theoretical properties only when a certain model, either the propensity…

机器学习 · 统计学 2023-05-24 Insung Kong , Yuha Park , Joonhyuk Jung , Kwonsang Lee , Yongdai Kim

Causal discovery, beyond the inference of a network as a collection of connected dots, offers a crucial functionality in scientific discovery using artificial intelligence. The questions that arise in multiple domains, such as physics,…

机器学习 · 计算机科学 2021-06-03 M. Ali Vosoughi , Axel Wismuller

We focus on causal discovery in the presence of measurement error in linear systems where the mixing matrix, i.e., the matrix indicating the independent exogenous noise terms pertaining to the observed variables, is identified up to…

机器学习 · 计算机科学 2022-11-09 Yuqin Yang , AmirEmad Ghassami , Mohamed Nafea , Negar Kiyavash , Kun Zhang , Ilya Shpitser

Machine learning approaches commonly rely on the assumption of independent and identically distributed (i.i.d.) data. In reality, however, this assumption is almost always violated due to distribution shifts between environments. Although…

机器学习 · 计算机科学 2022-10-18 Ronan Perry , Julius von Kügelgen , Bernhard Schölkopf

We propose estimators based on kernel ridge regression for nonparametric causal functions such as dose, heterogeneous, and incremental response curves. Treatment and covariates may be discrete or continuous in general spaces. Due to a…

计量经济学 · 经济学 2022-10-25 Rahul Singh , Liyuan Xu , Arthur Gretton

We address the problem of inferring the causal direction between two variables by comparing the least-squares errors of the predictions in both possible directions. Under the assumption of an independence between the function relating cause…

人工智能 · 计算机科学 2019-01-25 Patrick Blöbaum , Dominik Janzing , Takashi Washio , Shohei Shimizu , Bernhard Schölkopf

The ability to understand causality from data is one of the major milestones of human-level intelligence. Causal Discovery (CD) algorithms can identify the cause-effect relationships among the variables of a system from related…

人工智能 · 计算机科学 2024-03-14 Uzma Hasan , Emam Hossain , Md Osman Gani

Causal inference revealing causal dependencies between variables from empirical data has found applications in multiple sub-fields of scientific research. A quantum perspective of correlations holds the promise of overcoming the limitation…