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Estimating causal interactions in complex dynamical systems is an important problem encountered in many fields of current science. While a theoretical solution for detecting the causal interactions has been previously formulated in the…

数据分析、统计与概率 · 物理学 2020-01-20 Jakub Kořenek , Jaroslav Hlinka

Interpreting data with mathematical models is an important aspect of real-world industrial and applied mathematical modeling. Often we are interested to understand the extent to which a particular set of data informs and constrains model…

统计方法学 · 统计学 2025-03-06 Matthew J Simpson , Ruth E Baker

Graphical models can represent a multivariate distribution in a convenient and accessible form as a graph. Causal models can be viewed as a special class of graphical models that not only represent the distribution of the observed system…

统计方法学 · 统计学 2017-06-29 Christina Heinze-Deml , Marloes H. Maathuis , Nicolai Meinshausen

A fundamental challenge of scientific research is inferring causal relations based on observed data. One commonly used approach involves utilizing structural causal models that postulate noisy functional relations among interacting…

统计方法学 · 统计学 2024-08-13 David Strieder , Mathias Drton

Causal inference in networks should account for interference, which occurs when a unit's outcome is influenced by treatments or outcomes of peers. Heterogeneous peer influence (HPI) occurs when a unit's outcome is influenced differently by…

社会与信息网络 · 计算机科学 2025-03-27 Shishir Adhikari , Elena Zheleva

Identifiability is a necessary condition for successful parameter estimation of dynamic system models. A major component of identifiability analysis is determining the identifiable parameter combinations, the functional forms for the…

定量方法 · 定量生物学 2013-10-07 Marisa C. Eisenberg , Michael A. L. Hayashi

Identifying the effect of a treatment from observational data typically requires assuming a fully specified causal diagram. However, such diagrams are rarely known in practice, especially in complex or high-dimensional settings. To overcome…

人工智能 · 计算机科学 2025-07-09 Clément Yvernes , Emilie Devijver , Marianne Clausel , Eric Gaussier

Estimating long-term causal effects by combining long-term observational and short-term experimental data is a crucial but challenging problem in many real-world scenarios. In existing methods, several ideal assumptions, e.g. latent…

机器学习 · 计算机科学 2025-05-12 Ruichu Cai , Junjie Wan , Weilin Chen , Zeqin Yang , Zijian Li , Peng Zhen , Jiecheng Guo

A parameter of a mathematical model is structurally identifiable if it can be determined from noiseless experimental data. Here, we examine the identifiability properties of two important classes of linear compartmental models:…

Anti-discrimination is an increasingly important task in data science. In this paper, we investigate the problem of discovering both direct and indirect discrimination from the historical data, and removing the discriminatory effects before…

机器学习 · 计算机科学 2016-11-23 Lu Zhang , Yongkai Wu , Xintao Wu

Identifying the causal structures between two statistically correlated events has been widely investigated in many fields of science. While some of the well-studied classical methods are carefully generalized to quantum version of causal…

量子物理 · 物理学 2022-03-08 Feixiang Xu , Jia-Yi Lin , Ben Wang , Tao Jiang , Shengjun Wu , Wei Wang , Lijian Zhang

Dynamic structural causal models (SCMs) are a powerful framework for reasoning in dynamic systems about direct effects which measure how a change in one variable affects another variable while holding all other variables constant. The…

人工智能 · 计算机科学 2024-02-16 Simon Ferreira , Charles K. Assaad

We consider linear non-Gaussian structural equation models that involve latent confounding. In this setting, the causal structure is identifiable, but, in general, it is not possible to identify the specific causal effects. Instead, a…

机器学习 · 统计学 2024-08-12 Daniela Schkoda , Elina Robeva , Mathias Drton

This paper discusses causal independence models and a generalization of these models called causal interaction models. Causal interaction models are models that have independent mechanisms where a mechanism can have several causes. In…

人工智能 · 计算机科学 2015-05-19 Christopher Meek , David Heckerman

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

Identifying the direct causes or causal parents of a target variable is crucial for scientific discovery. Focusing on linear models, the invariant prediction framework was built upon the invariance principle, namely, the conditional…

统计方法学 · 统计学 2023-07-19 Kang Du , Yu Xiang , Ilya Soloveychik

We study the problem of deriving policies, or rules, that when enacted on a complex system, cause a desired outcome. Absent the ability to perform controlled experiments, such rules have to be inferred from past observations of the system's…

机器学习 · 计算机科学 2020-09-09 Kailash Budhathoki , Mario Boley , Jilles Vreeken

We propose a novel approach for learning causal response representations. Our method aims to extract directions in which a multidimensional outcome is most directly caused by a treatment variable. By bridging conditional independence…

机器学习 · 统计学 2025-03-07 Homer Durand , Gherardo Varando , Gustau Camps-Valls

A linear structural equation model relates random variables of interest and corresponding Gaussian noise terms via a linear equation system. Each such model can be represented by a mixed graph in which directed edges encode the linear…

统计理论 · 数学 2012-10-04 Rina Foygel , Jan Draisma , Mathias Drton

Predictions about people, such as their expected educational achievement or their credit risk, can be performative and shape the outcome that they aim to predict. Understanding the causal effect of these predictions on the eventual outcomes…

机器学习 · 统计学 2022-10-19 Celestine Mendler-Dünner , Frances Ding , Yixin Wang