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We develop randomization-based tests for heterogeneous treatment effects in the presence of network interference. Leveraging the exposure mapping framework, we study a broad class of null hypotheses that represent various forms of constant…

Econometrics · Economics 2025-06-25 Julius Owusu

Deep directed generative models have attracted much attention recently due to their expressive representation power and the ability of ancestral sampling. One major difficulty of learning directed models with many latent variables is the…

Machine Learning · Computer Science 2015-06-16 Siqi Nie , Qiang Ji

We consider the problem of efficiently inferring interventional distributions in a causal Bayesian network from a finite number of observations. Let $\mathcal{P}$ be a causal model on a set $\mathbf{V}$ of observable variables on a given…

Data Structures and Algorithms · Computer Science 2021-07-28 Arnab Bhattacharyya , Sutanu Gayen , Saravanan Kandasamy , Vedant Raval , N. V. Vinodchandran

In the context of having an instrumental variable, the standard practice in causal inference begins by targeting an effect of interest and proceeds by formulating assumptions enabling its identification. We turn this around by adhering to…

Statistics Theory · Mathematics 2026-05-25 Carlos García Meixide , Mark J. van der Laan

The graphical lasso is a widely used algorithm for fitting undirected Gaussian graphical models. However, for inference on functionals of edge values in the learned graph, standard tools lack formal statistical guarantees, such as control…

Methodology · Statistics 2025-04-01 Sofia Guglielmini , Gerda Claeskens , Snigdha Panigrahi

We consider continuous-time survival or more general event-history settings, where the aim is to infer the causal effect of a time-dependent treatment process. This is formalised as the effect on the outcome event of a (possibly…

Methodology · Statistics 2024-04-23 Kjetil Røysland , Pål Ryalen , Mari Nygård , Vanessa Didelez

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 provide a selected overview of methodology and theory for estimation and inference on the edge weights in high-dimensional directed and undirected Gaussian graphical models. For undirected graphical models, two main explicit…

Statistics Theory · Mathematics 2018-01-26 Jana Jankova , Sara van de Geer

Probabilistic inference in graphical models is the task of computing marginal and conditional densities of interest from a factorized representation of a joint probability distribution. Inference algorithms such as variable elimination and…

Machine Learning · Computer Science 2012-02-20 Ilya Shpitser , Thomas S. Richardson , James M. Robins

Graphical causal models are an important tool for knowledge discovery because they can represent both the causal relations between variables and the multivariate probability distributions over the data. Once learned, causal graphs can be…

Artificial Intelligence · Computer Science 2017-04-11 Andrew J Sedgewick , Joseph D. Ramsey , Peter Spirtes , Clark Glymour , Panayiotis V. Benos

This paper considers the problem of estimating the unknown intervention targets in a causal directed acyclic graph from observational and interventional data. The focus is on soft interventions in linear structural equation models (SEMs).…

Methodology · Statistics 2021-11-16 Burak Varici , Karthikeyan Shanmugam , Prasanna Sattigeri , Ali Tajer

Learning causal relationships between pairs of complex traits from observational studies is of great interest across various scientific domains. However, most existing methods assume the absence of unmeasured confounding and restrict causal…

Methodology · Statistics 2024-07-17 Wei Li , Rui Duan , Sai Li

Finding statistically significant high-order interaction features in predictive modeling is important but challenging task. The difficulty lies in the fact that, for a recent applications with high-dimensional covariates, the number of…

Machine Learning · Statistics 2015-06-29 S. Suzumura , K. Nakagawa , K. Tsuda , I. Takeuchi

We study the problem of efficiently estimating the effect of an intervention on a single variable (atomic interventions) using observational samples in a causal Bayesian network. Our goal is to give algorithms that are efficient in both…

Machine Learning · Computer Science 2020-08-07 Arnab Bhattacharyya , Sutanu Gayen , Saravanan Kandasamy , Ashwin Maran , N. V. Vinodchandran

Causal graph discovery is a significant problem with applications across various disciplines. However, with observational data alone, the underlying causal graph can only be recovered up to its Markov equivalence class, and further…

Machine Learning · Computer Science 2024-02-14 Davin Choo , Kirankumar Shiragur , Caroline Uhler

This paper studies causal inference with observational data from a single large network. We consider a nonparametric model with interference in both potential outcomes and selection into treatment. Specifically, both stages may be the…

Econometrics · Economics 2025-12-30 Michael P. Leung , Pantelis Loupos

Identifying causal parameters from observational data is fraught with subtleties due to the issues of selection bias and confounding. In addition, more complex questions of interest, such as effects of treatment on the treated and mediated…

Methodology · Statistics 2015-11-17 Ilya Shpitser , Eric Tchetgen Tchetgen

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

Inferring the structure of directed acyclic graphs (DAGs) from data is a central challenge in causal discovery, particularly in modern high-dimensional settings where large-scale interventional data are increasingly available. While…

Estimating treatment effects in networks is challenging, as each potential outcome depends on the treatments of all other nodes in the network. To overcome this difficulty, existing methods typically impose an exposure mapping that…

Machine Learning · Computer Science 2026-02-04 Maresa Schröder , Miruna Oprescu , Stefan Feuerriegel , Nathan Kallus
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