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We propose a three-step divide-and-conquer strategy within the Bayesian paradigm that delivers massive scalability for any spatial process model. We partition the data into a large number of subsets, apply a readily available Bayesian…

Methodology · Statistics 2019-06-13 Rajarshi Guhaniyogi , Cheng Li , Terrance D. Savitsky , Sanvesh Srivastava

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…

Methodology · Statistics 2023-12-29 Yiling Huang , Snigdha Panigrahi , Walter Dempsey

We study estimation and inference for heterogeneous principal causal effects with binary treatments and binary intermediate variables. Principal causal effects are subgroup effects within strata defined by potential values of an…

Methodology · Statistics 2026-03-11 Rui Zhang , Charles R. Doss , Jared D. Huling

Estimating heterogeneous treatment effects has become increasingly important in many fields and life and death decisions are now based on these estimates: for example, selecting a personalized course of medical treatment. Recently, a…

Methodology · Statistics 2019-04-01 Sören R. Künzel , Simon J. S. Walter , Jasjeet S. Sekhon

Matching is an appealing way to design observational studies because it mimics the data structure produced by stratified randomized trials, pairing treated individuals with similar controls. After matching, inference is often conducted…

Methodology · Statistics 2024-03-05 Samuel D. Pimentel , Ruoqi Yu

In spatial statistics, a common method for prediction over a Gaussian random field (GRF) is maximum likelihood estimation combined with kriging. For massive data sets, kriging is computationally intensive, both in terms of CPU time and…

Methodology · Statistics 2018-09-28 Karl T. Pazdernik , Ranjan Maitra , Douglas Nychka , Stephen Sain

Developing new drugs for target diseases is a time-consuming and expensive task, drug repurposing has become a popular topic in the drug development field. As much health claim data become available, many studies have been conducted on the…

Machine Learning · Computer Science 2023-02-22 Yaobin Ling , Pulakesh Upadhyaya , Luyao Chen , Xiaoqian Jiang , Yejin Kim

In classical Hawkes process, the baseline intensity and triggering kernel are assumed to be a constant and parametric function respectively, which limits the model flexibility. To generalize it, we present a fully Bayesian nonparametric…

Machine Learning · Computer Science 2019-10-30 Feng Zhou , Zhidong Li , Xuhui Fan , Yang Wang , Arcot Sowmya , Fang Chen

In the present work, we consider multi-fidelity surrogate modelling to fuse the output of multiple aero-servo-elastic computer simulators of varying complexity. In many instances, predictions from multiple simulators for the same quantity…

Computation · Statistics 2017-09-25 I. Abdallah , C. Lataniotis , B. Sudret

We propose a new sparse Granger-causal learning framework for temporal event data. We focus on a specific class of point processes called the Hawkes process. We begin by pointing out that most of the existing sparse causal learning…

Machine Learning · Computer Science 2025-01-28 Tsuyoshi Idé , Georgios Kollias , Dzung T. Phan , Naoki Abe

Uncertainty quantification for individual treatment effects (ITEs) is a daunting challenge in causal inference. Motivated by recent advances in conformal prediction, several works aim to construct distribution-free prediction sets for ITEs…

Methodology · Statistics 2026-05-07 Chongguang Tao , Zheng Zhou , Yuhong Yang

Classical Gaussian processes and Kriging models are commonly based on stationary kernels, whereby correlations between observations depend exclusively on the relative distance between scattered data. While this assumption ensures analytical…

Machine Learning · Statistics 2026-03-19 Gianluca Audone , Francesco Marchetti , Emma Perracchione , Milvia Rossini

Design-based inference, also known as randomization-based or finite-population inference, provides a principled framework for trustworthy statistical inference by attributing randomness solely to the design mechanism (e.g., treatment…

Methodology · Statistics 2026-04-17 Siyu Heng , Yanxin Shen , Zijian Guo

Statistical inference of heterogeneous treatment effects (HTEs) across predefined subgroups is challenging when units interact because treatment effects may vary by pre-treatment variables, post-treatment exposure variables (that measure…

Econometrics · Economics 2024-10-02 Julius Owusu

Multivariate Hawkes processes are commonly used to model streaming networked event data in a wide variety of applications. However, it remains a challenge to extract reliable inference from complex datasets with uncertainty quantification.…

Machine Learning · Statistics 2020-10-29 Haoyun Wang , Liyan Xie , Alex Cuozzo , Simon Mak , Yao Xie

Decision tree learning is increasingly being used for pointwise inference. Important applications include causal heterogenous treatment effects and dynamic policy decisions, as well as conditional quantile regression and design of…

Machine Learning · Statistics 2024-02-08 Matias D. Cattaneo , Jason M. Klusowski , Peter M. Tian

This paper provides a link between causal inference and machine learning techniques - specifically, Classification and Regression Trees (CART) - in observational studies where the receipt of the treatment is not randomized, but the…

Machine Learning · Computer Science 2019-05-23 Falco J. Bargagli-Stoffi , Giorgio Gnecco

We introduce causal inference reasoning to cross-over trials, with a focus on Thorough QT (TQT) studies. For such trials, we propose different sets of assumptions and consider their impact on the modelling strategy and estimation procedure.…

Methodology · Statistics 2022-05-31 Jeppe Ekstrand Halkjær Madsen , Thomas Scheike , Christian Pipper

Interpretability plays a crucial role in the application of statistical learning to estimate heterogeneous treatment effects (HTE) in complex diseases. In this study, we leverage a rule-based workflow, namely causal rule learning (CRL), to…

Machine Learning · Computer Science 2025-11-24 Ying Wu , Hanzhong Liu , Kai Ren , Shujie Ma , Xiangyu Chang

Understanding how treatment effects vary on individual characteristics is critical in the contexts of personalized medicine, personalized advertising and policy design. When the characteristics are of practical interest are only a subset of…

Methodology · Statistics 2023-05-03 Peng Wu , ShaSha Han , Xingwei Tong , Runze Li