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The moments of random variables are fundamental statistical measures for characterizing the shape of a probability distribution, encompassing metrics such as mean, variance, skewness, and kurtosis. Additionally, the product moments,…

统计方法学 · 统计学 2025-05-09 Yuta Kawakami , Jin Tian

We pose causal inference as the problem of learning to classify probability distributions. In particular, we assume access to a collection $\{(S_i,l_i)\}_{i=1}^n$, where each $S_i$ is a sample drawn from the probability distribution of $X_i…

机器学习 · 统计学 2015-05-20 David Lopez-Paz , Krikamol Muandet , Bernhard Schölkopf , Ilya Tolstikhin

Recent approaches in causal inference have proposed estimating average causal effects that are local to some subpopulation, often for reasons of efficiency. These inferential targets are sometimes data-adaptive, in that they are dependent…

统计理论 · 数学 2016-02-08 Peter M. Aronow

The concept of causality has a controversial history. The question of whether it is possible to represent and address causal problems with probability theory, or if fundamentally new mathematics such as the do-calculus is required has been…

机器学习 · 统计学 2019-10-22 Finnian Lattimore , David Rohde

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

Uncovering causal relationships in data is a major objective of data analytics. Causal relationships are normally discovered with designed experiments, e.g. randomised controlled trials, which, however are expensive or infeasible to be…

人工智能 · 计算机科学 2016-11-01 Jiuyong Li , Saisai Ma , Thuc Duy Le , Lin Liu , Jixue Liu

Missing exposure information is a very common feature of many observational studies. Here we study identifiability and efficient estimation of causal effects on vector outcomes, in such cases where treatment is unconfounded but partially…

统计方法学 · 统计学 2020-02-04 Edward H. Kennedy

As artificial intelligence and machine learning tools become more accessible, and scientists face new obstacles to data collection (e.g. rising costs, declining survey response rates), researchers increasingly use predictions from…

统计方法学 · 统计学 2024-02-06 Kentaro Hoffman , Stephen Salerno , Awan Afiaz , Jeffrey T. Leek , Tyler H. McCormick

Causal inference is to estimate the causal effect in a causal relationship when intervention is applied. Precisely, in a causal model with binary interventions, i.e., control and treatment, the causal effect is simply the difference between…

机器学习 · 计算机科学 2022-07-19 Zhenyu Lu , Yurong Cheng , Mingjun Zhong , George Stoian , Ye Yuan , Guoren Wang

Evaluating the causal effect of an intervention on multivariate outcomes is challenging when the outcomes are interdependent and derived rather than directly observed. Effective connectivity, which summarizes the directional neural…

统计方法学 · 统计学 2026-04-02 Haiyue Song , Ani Eloyan , Youjin Lee

Statistical science (as opposed to mathematical statistics) involves far more than probability theory, for it requires realistic causal models of data generators - even for purely descriptive goals. Statistical decision theory requires more…

其他统计学 · 统计学 2022-06-02 Sander Greenland

Randomized trials typically estimate average relative treatment effects, but decisions on the benefit of a treatment are possibly better informed by more individualized predictions of the absolute treatment effect. In case of a binary…

统计方法学 · 统计学 2021-08-20 J Hoogland , J IntHout , M Belias , MM Rovers , RD Riley , FE Harrell , KGM Moons , TPA Debray , JB Reitsma

We describe the interface between measure theoretic probability and causal inference by constructing causal models on probability spaces within the potential outcomes framework. We find that measure theory provides a precise and instructive…

统计理论 · 数学 2019-07-04 Irineo Cabreros , John D. Storey

We address the problem of inferring the causal effect of an exposure on an outcome across space, using observational data. The data is possibly subject to unmeasured confounding variables which, in a standard approach, must be adjusted for…

统计方法学 · 统计学 2019-06-04 Muhammad Osama , Dave Zachariah , Thomas B. Schön

We examine the role of textual data as study units when conducting causal inference by drawing parallels between human subjects and organized texts. %in human population research. We elaborate on key causal concepts and principles, and…

计算与语言 · 计算机科学 2022-02-03 Bo Zhang , Jiayao Zhang

Regulators and academics are increasingly interested in the causal effect that algorithmic actions of a digital platform have on consumption. We introduce a general causal inference problem we call the steerability of consumption that…

机器学习 · 计算机科学 2023-02-13 Gary Cheng , Moritz Hardt , Celestine Mendler-Dünner

Causal inference on multiple non-independent outcomes raises serious challenges, because multivariate techniques that properly account for the outcome's dependence structure need to be considered. We focus on the case of binary outcomes…

统计方法学 · 统计学 2018-05-11 Monia Lupparelli , Alessandra Mattei

The machine learning community has recently devoted much attention to the problem of inferring causal relationships from statistical data. Most of this work has focused on uncovering connections among scalar random variables. We generalize…

机器学习 · 统计学 2012-07-10 Doris Entner , Patrik O. Hoyer

Causal inference deals with identifying which random variables "cause" or control other random variables. Recent advances on the topic of causal inference based on tools from statistical estimation and machine learning have resulted in…

机器学习 · 统计学 2016-08-23 Matt J. Kusner , Yu Sun , Karthik Sridharan , Kilian Q. Weinberger

Data scarcity is a tremendous challenge in causal effect estimation. In this paper, we propose to exploit additional data sources to facilitate estimating causal effects in the target population. Specifically, we leverage additional source…

机器学习 · 计算机科学 2021-06-01 Thanh Vinh Vo , Pengfei Wei , Trong Nghia Hoang , Tze-Yun Leong