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Information theoretic measures (entropies, entropy rates, mutual information) are nowadays commonly used in statistical signal processing for real-world data analysis. The present work proposes the use of Auto Mutual Information (Mutual…

数据分析、统计与概率 · 物理学 2019-07-24 C Granero-Belinchón , S. Roux , P. Abry , N. Garnier

Causal discovery aims to recover information about an unobserved causal graph from the observable data it generates. Layerings are orderings of the variables which place causes before effects. In this paper, we provide ways to recover…

We define the concept of dependence among multiple variables using maximum entropy techniques and introduce a graphical notation to denote the dependencies. Direct inference of information theoretic quantities from data uncovers…

定量方法 · 定量生物学 2007-07-13 Ilya Nemenman

Causal inference studies whether the presence of a variable influences an observed outcome. As measured by quantities such as the "average treatment effect," this paradigm is employed across numerous biological fields, from vaccine and drug…

The paper addresses the problem of finding the causal direction between two associated variables. The proposed solution is to build an autoencoder of their joint distribution and to maximize its estimation capacity relative to both the…

机器学习 · 统计学 2022-12-09 Matthias Feiler

Causal discovery broadens the inference possibilities, as correlation does not inform about the relationship direction. The common approaches were proposed for cases in which prior knowledge is desired, when the impact of a…

应用统计 · 统计学 2018-07-18 Marcel Młyńczak

Consider the case that one observes a single time-series, where at each time t one observes a data record O(t) involving treatment nodes A(t), possible covariates L(t) and an outcome node Y(t). The data record at time t carries information…

统计理论 · 数学 2021-02-04 Mark J. van der Laan , Ivana Malenica

Randomized Controlled Trials are one of the pillars of science; nevertheless, they rely on hand-crafted hypotheses and expensive analysis. Such constraints prevent causal effect estimation at scale, potentially anchoring on popular yet…

机器学习 · 计算机科学 2026-01-07 Tommaso Mencattini , Riccardo Cadei , Francesco Locatello

In many scientific contexts, different investigators experiment with or observe different variables with data from a domain in which the distinct variable sets might well be related. This sort of fragmentation sometimes occurs in molecular…

人工智能 · 计算机科学 2019-09-05 Shuyan Wang

While causal models are becoming one of the mainstays of machine learning, the problem of uncertainty quantification in causal inference remains challenging. In this paper, we study the causal data fusion problem, where datasets pertaining…

机器学习 · 统计学 2021-06-08 Siu Lun Chau , Jean-François Ton , Javier González , Yee Whye Teh , Dino Sejdinovic

This paper introduces a collection of four data sets, similar to Anscombe's Quartet, that aim to highlight the challenges involved when estimating causal effects. Each of the four data sets is generated based on a distinct causal mechanism:…

统计方法学 · 统计学 2023-07-20 Lucy D'Agostino McGowan , Travis Gerke , Malcolm Barrett

Causal inference concerns the identification of cause-effect relationships between variables. However, often only linear combinations of variables constitute meaningful causal variables. For example, recovering the signal of a cortical…

统计方法学 · 统计学 2016-10-04 Sebastian Weichwald , Arthur Gretton , Bernhard Schölkopf , Moritz Grosse-Wentrup

The increasing multiplicity of data sources offers exciting possibilities in estimating the effects of a treatment, intervention, or exposure, particularly if observational and experimental sources could be used simultaneously. Borrowing…

统计方法学 · 统计学 2020-03-24 Jeffrey A. Boatman , David M. Vock , Joseph S. Koopmeiners

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

We study identification and estimation of causal effects in settings with panel data. Traditionally researchers follow model-based identification strategies relying on assumptions governing the relation between the potential outcomes and…

计量经济学 · 经济学 2022-02-18 Dmitry Arkhangelsky , Guido W. Imbens

Inferring causal effects from an observational study is challenging because participants are not randomized to treatment. Observational studies in infectious disease research present the additional challenge that one participant's treatment…

统计方法学 · 统计学 2020-12-25 Brian G. Barkley , Michael G. Hudgens , John D. Clemens , Mohammad Ali , Michael E. Emch

Thanks to technological advances leading to near-continuous time observations, emerging multivariate point process data offer new opportunities for causal discovery. However, a key obstacle in achieving this goal is that many relevant…

机器学习 · 统计学 2021-12-15 Xu Wang , Ali Shojaie

Observational data is increasingly used as a means for making individual-level causal predictions and intervention recommendations. The foremost challenge of causal inference from observational data is hidden confounding, whose presence…

机器学习 · 统计学 2018-10-30 Nathan Kallus , Aahlad Manas Puli , Uri Shalit

The era of big data has witnessed an increasing availability of observational data from mobile and social networking, online advertising, web mining, healthcare, education, public policy, marketing campaigns, and so on, which facilitates…

机器学习 · 计算机科学 2023-03-06 Zhixuan Chu , Ruopeng Li , Stephen Rathbun , Sheng Li

Causal variables in Markov boundary (MB) have been widely applied in extensive single-label tasks. While few researches focus on the causal variable discovery in multi-label data due to the complex causal relationships. Since some variables…

机器学习 · 计算机科学 2020-11-10 Xingyu Wu , Bingbing Jiang , Yan Zhong , Huanhuan Chen