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We consider regression in which one predicts a response $Y$ with a set of predictors $X$ across different experiments or environments. This is a common setup in many data-driven scientific fields and we argue that statistical inference can…

Methodology · Statistics 2026-03-23 Niklas Pfister , Evan G. Williams , Jonas Peters , Ruedi Aebersold , Peter Bühlmann

In this study, we address causal inference when only observational data and a valid causal ordering from the causal graph are available. We introduce a set of flow models that can recover component-wise, invertible transformation of…

Machine Learning · Computer Science 2024-12-16 Minh Khoa Le , Kien Do , Truyen Tran

Motivated by two case studies using primary care records from the Clinical Practice Research Datalink, we describe statistical methods that facilitate the analysis of tall data, with very large numbers of observations. Our focus is on…

Methodology · Statistics 2018-05-14 Kirsty Rhodes , Rebecca Turner , Rupert Payne , Ian White

Matched case-control studies are commonly employed in epidemiological research for their convenience and efficiency. Analysis of secondary outcomes can yield valuable insights into biological pathways and help identify genetic variants of…

Methodology · Statistics 2026-02-24 Shanshan Liu , Guoqing Diao

The multi-level method for discrete state systems, first introduced by Anderson and Higham [Multiscale Model. Simul. 10:146--179, 2012], is a highly efficient simulation technique that can be used to elucidate statistical characteristics of…

Quantitative Methods · Quantitative Biology 2016-09-06 Christopher Lester , Ruth E. Baker , Michael B. Giles , Christian A. Yates

In the current era of vast data and transparent machine learning, it is essential for techniques to operate at a large scale while providing a clear mathematical comprehension of the internal workings of the method. Although there already…

Machine Learning · Statistics 2024-02-05 David Rügamer

Complete reliance on the fitted model in response surface experiments is risky and relaxing this assumption, whether out of necessity or intentionally, requires an experimenter to account for multiple conflicting objectives. This work…

Methodology · Statistics 2023-06-16 Olga Egorova , Steven G. Gilmour

The objective of this note is to share some reflections of the authors regarding the use of sliding mode designs in control systems. We believe the abundant, and ever increasing, appearance of this kind of works on our scientific…

Systems and Control · Electrical Eng. & Systems 2025-10-10 Romeo Ortega , Leyan Fang , Jose Guadalupe Romero

Factor analysis has been extensively used to reveal the dependence structures among multivariate variables, offering valuable insight in various fields. However, it cannot incorporate the spatial heterogeneity that is typically present in…

Methodology · Statistics 2024-11-14 Yanxiu Jin , Tomoya Wakayama , Renhe Jiang , Shonosuke Sugasawa

Additive regression models with interactions are widely studied in the literature, using methods such as splines or Gaussian process regression. However, these methods can pose challenges for estimation and model selection, due to the…

Statistics Theory · Mathematics 2023-06-14 Wicher Bergsma , Haziq Jamil

Online reinforcement learning and other adaptive sampling algorithms are increasingly used in digital intervention experiments to optimize treatment delivery for users over time. In this work, we focus on longitudinal user data collected by…

Machine Learning · Computer Science 2023-04-20 Kelly W. Zhang , Lucas Janson , Susan A. Murphy

Modeling human behavioral data is challenging due to its scale, sparseness (few observations per individual), heterogeneity (differently behaving individuals), and class imbalance (few observations of the outcome of interest). An additional…

Computers and Society · Computer Science 2018-10-24 Peter G Fennell , Zhiya Zuo , Kristina Lerman

Causal models bring many benefits to decision-making systems (or agents) by making them interpretable, sample-efficient, and robust to changes in the input distribution. However, spurious correlations can lead to wrong causal models and…

Machine Learning · Computer Science 2020-12-09 Sergei Volodin , Nevan Wichers , Jeremy Nixon

The Schelling model is a prototype for agent-based modeling in social systems. We produce a comprehensive analysis of Schelling model rule variants by classifying the space of macroscopic outcomes using phase diagrams. Among 54 rule…

Statistical Mechanics · Physics 2026-05-19 Marlyn Boke , Timothy Sorochkin , Jesse Anttila-Hughes , Alan O. Jamison

With the rapid advances of data acquisition techniques, spatio-temporal data are becoming increasingly abundant in a diverse array of disciplines. Here we develop spatio-temporal regression methodology for analyzing large amounts of…

Methodology · Statistics 2021-12-01 Ting Fung Ma , Fangfang Wang , Jun Zhu , Anthony R. Ives , Katarzyna E. Lewińska

A new approach of obtaining stratified random samples from statistically dependent random variables is described. The proposed method can be used to obtain samples from the input space of a computer forward model in estimating expectations…

Methodology · Statistics 2019-11-25 Anirban Mondal , Abhijit Mandal

The class of dual $\phi$-divergence estimators (introduced in Broniatowski and Keziou (2009) is explored with respect to robustness through the influence function approach. For scale and location models, this class is investigated in terms…

Statistics Theory · Mathematics 2009-12-15 Aida Toma , Michel Broniatowski

We propose modeling raw functional data as a mixture of a smooth function and a highdimensional factor component. The conventional approach to retrieving the smooth function from the raw data is through various smoothing techniques.…

Methodology · Statistics 2021-02-05 Yuan Gao , Han Lin Shang , Yanrong Yang

We propose a novel iterative process to establish the minimum separation between two ellipsoids. The method maintains one point on each surface and updates their locations in the theta-phi parametric space. The tension along the connecting…

Computational Geometry · Computer Science 2026-03-25 Dariush Amirkhani , Junfeng Zhang

When estimating causal effects using observational data, it is desirable to replicate a randomized experiment as closely as possible by obtaining treated and control groups with similar covariate distributions. This goal can often be…

Methodology · Statistics 2010-10-28 Elizabeth A. Stuart