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Interference is ubiquitous when conducting causal experiments over networks. Except for certain network structures, causal inference on the network in the presence of interference is difficult due to the entanglement between the treatment…

统计方法学 · 统计学 2023-12-08 Chencheng Cai , Xu Zhang , Edoardo M. Airoldi

Spatial prediction is commonly achieved under the assumption of a Gaussian random field (GRF) by obtaining maximum likelihood estimates of parameters, and then using the kriging equations to arrive at predicted values. For massive datasets,…

统计方法学 · 统计学 2021-07-20 Karl T. Pazdernik , Ranjan Maitra

A key challenge in environmental health research is unmeasured spatial confounding, driven by unobserved spatially structured variables that influence both treatment and outcome. A common approach is to fit a spatial regression that models…

统计方法学 · 统计学 2025-12-23 Sophie M. Woodward , Francesca Dominici , Jose R. Zubizarreta

A common way of partitioning graphs is through minimum cuts. One drawback of classical minimum cut methods is that they tend to produce small groups, which is why more balanced variants such as normalized and ratio cuts have seen more…

机器学习 · 计算机科学 2024-10-07 Chakib Fettal , Lazhar Labiod , Mohamed Nadif

Inferring the causal structure of a system typically requires interventional data, rather than just observational data. Since interventional experiments can be costly, it is preferable to select interventions that yield the maximum amount…

统计方法学 · 统计学 2021-03-30 Michele Zemplenyi , Jeffrey W. Miller

We investigate the dynamical sampling space-time trade-off problem within a graph setting. Specifically, we derive necessary and sufficient conditions for space-time sampling that enable the reconstruction of an initial band-limited signal…

信息论 · 计算机科学 2024-11-20 Akram Aldroubi , Victor Bailey , Ilya Krishtal , Brendan Miller , Armenak Petrosyan

In this paper, the causal bandit problem is investigated, with the objective of maximizing the long-term reward by selecting an optimal sequence of interventions on nodes in an unknown causal graph. It is assumed that both the causal…

机器学习 · 计算机科学 2025-06-30 Chen Peng , Di Zhang , Urbashi Mitra

Recent work has shown that adaptive CSMA algorithms can achieve throughput optimality. However, these adaptive CSMA algorithms assume a rather simplistic model for the wireless medium. Specifically, the interference is typically modelled by…

网络与互联网体系结构 · 计算机科学 2015-04-30 Peruru Subrahmanya Swamy , Radha Krishna Ganti , Krishna Jagannathan

How does one generalize differential geometric constructs such as curvature of a manifold to the discrete world of graphs and other combinatorial structures? This problem carries significant importance for analyzing models of discrete…

组合数学 · 数学 2023-06-27 J. F. Du Plessis , Xerxes D. Arsiwalla

Estimation of causal effects using machine learning methods has become an active research field in econometrics. In this paper, we study the finite sample performance of meta-learners for estimation of heterogeneous treatment effects under…

计量经济学 · 经济学 2022-02-01 Gabriel Okasa

In this paper, we develop a novel weighted Laplacian method, which is partially inspired by the theory of graph Laplacian, to study recent popular graph problems, such as multilevel graph partitioning and balanced minimum cut problem, in a…

机器学习 · 计算机科学 2020-05-20 Shijie Xu , Jiayan Fang , Xiang-Yang Li

We consider the problem of how to assign treatment in a randomized experiment, in which the correlation among the outcomes is informed by a network available pre-intervention. Working within the potential outcome causal framework, we…

统计方法学 · 统计学 2017-05-19 Guillaume W. Basse , Edoardo M. Airoldi

Causal structure learning is a key problem in many domains. Causal structures can be learnt by performing experiments on the system of interest. We address the largely unexplored problem of designing a batch of experiments that each…

机器学习 · 计算机科学 2021-11-25 Scott Sussex , Andreas Krause , Caroline Uhler

Inference for spatial generalized linear mixed models (SGLMMs) for high-dimensional non-Gaussian spatial data is computationally intensive. The computational challenge is due to the high-dimensional random effects and because Markov chain…

统计计算 · 统计学 2018-10-09 Yawen Guan , Murali Haran

Neighborhood selection is a widely used method used for estimating the support set of sparse precision matrices, which helps determine the conditional dependence structure in undirected graphical models. However, reporting only point…

统计方法学 · 统计学 2023-12-29 Yiling Huang , Snigdha Panigrahi , Walter Dempsey

Non-compliance is common in real world experiments. We focus on inference about the sample complier average causal effect, that is, the average treatment effect for experimental units who are compliers. We present three types of inference…

统计方法学 · 统计学 2023-10-05 Zhen Zhong , Per Johansson , Junni L. Zhang

The general method of graph coarsening or graph reduction has been a remarkably useful and ubiquitous tool in scientific computing and it is now just starting to have a similar impact in machine learning. The goal of this paper is to take a…

机器学习 · 计算机科学 2021-06-23 Jie Chen , Yousef Saad , Zechen Zhang

Recursive linear structural equation models are widely used to postulate causal mechanisms underlying observational data. In these models, each variable equals a linear combination of a subset of the remaining variables plus an error term.…

统计理论 · 数学 2022-03-21 F. Richard Guo , Emilija Perković

Through recognizing causal subgraphs, causal graph learning (CGL) has risen to be a promising approach for improving the generalizability of graph neural networks under out-of-distribution (OOD) scenarios. However, the empirical successes…

机器学习 · 计算机科学 2025-07-02 Yujia Yin , Tianyi Qu , Zihao Wang , Yifan Chen

An autonomous variational inference algorithm for arbitrary graphical models requires the ability to optimize variational approximations over the space of model parameters as well as over the choice of tractable families used for the…

机器学习 · 计算机科学 2012-07-19 Eric P. Xing , Michael I. Jordan , Stuart Russell