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This paper deals with the concept of equivalence between direct and indirect effects of a treatment on a response using two sets of intermediate variables and covariates. First, we provide criteria for testing whether two sets of variables…

Statistics Theory · Mathematics 2016-01-07 Manabu Kuroki

Accurate estimation of treatment effects is essential for decision-making across various scientific fields. This task, however, becomes challenging in areas like social sciences and online marketplaces, where treating one experimental unit…

Machine Learning · Computer Science 2025-02-04 Mohsen Bayati , Yuwei Luo , William Overman , Sadegh Shirani , Ruoxuan Xiong

Interval analysis (or interval bound propagation, IBP) is a popular technique for verifying and training provably robust deep neural networks, a fundamental challenge in the area of reliable machine learning. However, despite substantial…

Machine Learning · Computer Science 2021-12-15 Matthew Mirman , Maximilian Baader , Martin Vechev

Many scientific and engineering challenges -- ranging from pharmacokinetic drug dosage allocation and personalized medicine to marketing mix (4Ps) recommendations -- require an understanding of the unobserved heterogeneity in order to…

Methodology · Statistics 2017-08-17 Jelena Bradic , Gerda Claeskens , Thomas Gueuning

This paper develops methods for uncertainty quantification in causal inference settings with random network interference. We study the large-sample distributional properties of the classical difference-in-means Hajek treatment effect…

Methodology · Statistics 2025-11-11 Matias D. Cattaneo , Yihan He , Ruiqi Rae Yu

We are concerned with testing replicability hypotheses for many endpoints simultaneously. This constitutes a multiple test problem with composite null hypotheses. Traditional $p$-values, which are computed under least favourable parameter…

Methodology · Statistics 2020-02-26 Anh-Tuan Hoang , Thorsten Dickhaus

The individual-based model of simple contagion processes is considered on regular graphs. This model explicitly incorporates the adjacency matrix of the network enabling us to study the effect of network structure on the dynamic of the…

Physics and Society · Physics 2025-12-10 Noémi Nagy , Sándor Horváth , Balázs Maga , Péter L. Simon

In various scenarios motivated by real life, such as medical data analysis, autonomous driving, and adversarial training, we are interested in robust deep networks. A network is robust when a relatively small perturbation of the input…

Machine Learning · Computer Science 2024-10-07 Patryk Krukowski , Daniel Wilczak , Jacek Tabor , Anna Bielawska , Przemysław Spurek

This paper studies the problem of optimally allocating treatments in the presence of spillover effects, using information from a (quasi-)experiment. I introduce a method that maximizes the sample analog of average social welfare when…

Econometrics · Economics 2024-04-09 Davide Viviano

Assessing population-level effects of vaccines and other infectious disease prevention measures is important to the field of public health. In infectious disease studies, one person's treatment may affect another individual's outcome, i.e.,…

Methodology · Statistics 2024-03-26 Kayla W. Kilpatrick , Chanhwa Lee , Michael G. Hudgens

Policy evaluation studies, which intend to assess the effect of an intervention, face some statistical challenges: in real-world settings treatments are not randomly assigned and the analysis might be further complicated by the presence of…

Applications · Statistics 2020-06-25 C. Tortù , I. Crimaldi , F. Mealli , L. Forastiere

We consider the estimation of heterogeneous treatment effects with arbitrary machine learning methods in the presence of unobserved confounders with the aid of a valid instrument. Such settings arise in A/B tests with an intent-to-treat…

Econometrics · Economics 2019-06-07 Vasilis Syrgkanis , Victor Lei , Miruna Oprescu , Maggie Hei , Keith Battocchi , Greg Lewis

The fundamental problem of causal inference -- that we never observe counterfactuals -- prevents us from identifying how many might be negatively affected by a proposed intervention. If, in an A/B test, half of users click (or buy, or…

Methodology · Statistics 2022-11-22 Nathan Kallus

In causal inference, interference occurs when the treatment of one unit may affect the outcomes of other units. The goal of this work is to serve as a guide to the use of linear outcome modeling for estimating causal effects in settings…

Methodology · Statistics 2026-04-01 Eric Tong , Salvador V. Balkus

We propose a new method for detecting changes in Markov network structure between two sets of samples. Instead of naively fitting two Markov network models separately to the two data sets and figuring out their difference, we…

Machine Learning · Statistics 2014-01-03 Song Liu , John A. Quinn , Michael U. Gutmann , Taiji Suzuki , Masashi Sugiyama

To infer a diffusion network based on observations from historical diffusion processes, existing approaches assume that observation data contain exact occurrence time of each node infection, or at least the eventual infection statuses of…

Social and Information Networks · Computer Science 2023-12-14 Hao Huang , Qian Yan , Keqi Han , Ting Gan , Jiawei Jiang , Quanqing Xu , Chuanhui Yan

We introduce a method for calculating \(p\)-values to test causal hypotheses in qualitative research \emph{a la} process tracing. As in an experiment, our \(p\)-value tells us how often one would make the same or more compelling…

Methodology · Statistics 2025-08-04 Matias Lopez , Jake Bowers

Practitioners in diverse fields such as healthcare, economics and education are eager to apply machine learning to improve decision making. The cost and impracticality of performing experiments and a recent monumental increase in electronic…

Machine Learning · Computer Science 2023-08-01 Fredrik D. Johansson , Uri Shalit , Nathan Kallus , David Sontag

Background: Pairwise and network meta-analyses using fixed effect and random effects models are commonly applied to synthesise evidence from randomised controlled trials. The models differ in their assumptions and the interpretation of the…

Methodology · Statistics 2017-08-04 Shijie Ren , Jeremy E. Oakley , John W. Stevens

In randomized experiments, covariates are often used to reduce variance and improve the precision of treatment effect estimates. However, in many real-world settings, interference between units, where one unit's treatment affects another's…

Methodology · Statistics 2026-04-10 Xinyi Wang , Shuangning Li
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