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What is the difference of a prediction that is made with a causal model and a non-causal model? Suppose we intervene on the predictor variables or change the whole environment. The predictions from a causal model will in general work as…

Methodology · Statistics 2024-04-27 Jonas Peters , Peter Bühlmann , Nicolai Meinshausen

Interpretability research takes counterfactual theories of causality for granted. Most causal methods rely on counterfactual interventions to inputs or the activations of particular model components, followed by observations of the change…

Machine Learning · Computer Science 2024-07-08 Aaron Mueller

We develop a method to decompose causal effects on a social network into an indirect effect mediated by the network, and a direct effect independent of the social network. To handle the complexity of network structures, we assume that…

Methodology · Statistics 2025-03-07 Alex Hayes , Mark M. Fredrickson , Keith Levin

Split-plot designs find wide applicability in multifactor experiments with randomization restrictions. Practical considerations often warrant the use of unbalanced designs. This paper investigates randomization based causal inference in…

Methodology · Statistics 2019-06-21 Rahul Mukerjee , Tirthankar Dasgupta

Online user-generated content platforms allocate billions of dollars of promotional traffic through algorithms in two-sided marketplaces. To evaluate updates to these algorithms, platforms frequently rely on creator-side randomized…

Econometrics · Economics 2026-03-10 Ruohan Zhan , Shichao Han , Yuchen Hu , Zhenling Jiang

Network-linked data, where multivariate observations are interconnected by a network, are becoming increasingly prevalent in fields such as sociology and biology. These data often exhibit inherent noise and complex relational structures,…

Methodology · Statistics 2025-09-11 Jianxiang Wang , Can M. Le , Tianxi Li

In network settings, interference between units makes causal inference more challenging as outcomes may depend on the treatments received by others in the network. Typical estimands in network settings focus on treatment effects aggregated…

Methodology · Statistics 2025-07-25 Heejong Bong , Colin B. Fogarty , Elizaveta Levina , Ji Zhu

Network interference, where the outcome of an individual is affected by the treatment assignment of those in their social network, is pervasive in real-world settings. However, it poses a challenge to estimating causal effects. We consider…

Methodology · Statistics 2024-02-06 Mayleen Cortez-Rodriguez , Matthew Eichhorn , Christina Lee Yu

The belief network is a well-known graphical structure for representing independences in a joint probability distribution. The methods, which perform probabilistic inference in belief networks, often treat the conditional probabilities…

Artificial Intelligence · Computer Science 2013-03-26 Richard E. Neapolitan , James Kenevan

Relational inference leverages relationships between entities and links in a network to infer information about the network from a small sample. This method is often used when global information about the network is not available or…

Social and Information Networks · Computer Science 2018-03-08 Lisette Espín-Noboa , Claudia Wagner , Fariba Karimi , Kristina Lerman

Although there is now a large literature on policy evaluation and learning, much of the prior work assumes that the treatment assignment of one unit does not affect the outcome of another unit. Unfortunately, ignoring interference can lead…

Methodology · Statistics 2025-04-02 Yi Zhang , Kosuke Imai

Individual treatment effects are not point-identified from data. The Probability of Necessity and Sufficiency (PNS) circumvents this limitation by characterizing individual-level causality through intersection bounds derived from combined…

Machine Learning · Statistics 2026-05-11 Gandharv Patil , Keyi Tang , Raquel Aoki , Leo Guelman

Causal inference with interference is a rapidly growing area. The literature has begun to relax the "no-interference" assumption that the treatment received by one individual does not affect the outcomes of other individuals. In this paper…

Methodology · Statistics 2015-03-06 Tyler J. VanderWeele , Eric J. Tchetgen Tchetgen , M. Elizabeth Halloran

We present a class of inequality constraints on the set of distributions induced by local interventions on variables governed by a causal Bayesian network, in which some of the variables remain unmeasured. We derive bounds on causal effects…

Artificial Intelligence · Computer Science 2012-07-02 Changsung Kang , Jin Tian

A growing number of researchers are conducting randomized experiments to analyze causal relationships in network settings where units influence one another. A dominant methodology for analyzing these experiments is design-based, leveraging…

Methodology · Statistics 2024-07-30 Ambarish Chattopadhyay , Kosuke Imai , Jose R. Zubizarreta

Graphical models are widely used to make inferences concerning interplay in multivariate systems. In many applications, data are collected from multiple related but nonidentical units whose underlying networks may differ but are likely to…

Methodology · Statistics 2014-12-04 Chris J. Oates , Jim Korkola , Joe W. Gray , Sach Mukherjee

Empirical researchers often estimate spillover effects by fitting linear or non-linear regression models to sampled network data. We show that common sampling schemes bias these estimates, potentially upwards, and derive biased-corrected…

General Economics · Economics 2025-09-23 Kieran Marray

We consider the problem of uncertainty estimation in the context of (non-Bayesian) deep neural classification. In this context, all known methods are based on extracting uncertainty signals from a trained network optimized to solve the…

Machine Learning · Computer Science 2019-04-25 Yonatan Geifman , Guy Uziel , Ran El-Yaniv

Network interference occurs when a unit's outcome depends not only on its own treatment but also on the treatments received by connected units in the network. Experimental designs and analysis methods that ignore such interference can yield…

Methodology · Statistics 2026-05-04 Xiao Liu , Feifang Hu , Jingfei Zhang

Predictive algorithms inform consequential decisions in settings with selective labels: outcomes are observed only for units selected by past decision makers. This creates an identification problem under unobserved confounding -- when…

Econometrics · Economics 2025-11-07 Ashesh Rambachan , Amanda Coston , Edward Kennedy