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This paper concerns the development of an inferential framework for high-dimensional linear mixed effect models. These are suitable models, for instance, when we have $n$ repeated measurements for $M$ subjects. We consider a scenario where…

Methodology · Statistics 2019-12-17 Lina Lin , Mathias Drton , Ali Shojaie

Prediction of future observations is a fundamental problem in statistics. Here we present a general approach based on the recently developed inferential model (IM) framework. We employ an IM-based technique to marginalize out the unknown…

Methodology · Statistics 2016-08-30 Ryan Martin , Rama Lingham

When predicting scalar responses in the situation where the explanatory variables are functions, it is sometimes the case that some functional variables are related to responses linearly while other variables have more complicated…

Methodology · Statistics 2012-11-29 Heng Lian

Quantifying the influence of infinitesimal changes in training data on model performance is crucial for understanding and improving machine learning models. In this work, we reformulate this problem as a weighted empirical risk minimization…

Machine Learning · Computer Science 2025-04-11 Omri Lev , Ashia C. Wilson

It is common to hold prior beliefs that are not characterized by points in the parameter space but instead are relational in nature and can be described by a linear subspace. While some previous work has been done to account for such prior…

Methodology · Statistics 2024-01-17 Daniel K. Sewell

The advent of foundation models (FMs), large-scale pre-trained models with strong generalization capabilities, has opened new frontiers for financial engineering. While general-purpose FMs such as GPT-4 and Gemini have demonstrated…

Computational Finance · Quantitative Finance 2025-12-16 Liyuan Chen , Shuoling Liu , Jiangpeng Yan , Xiaoyu Wang , Henglin Liu , Chuang Li , Kecheng Jiao , Jixuan Ying , Yang Veronica Liu , Qiang Yang , Xiu Li

Building on top of a regression model, Conformal Prediction methods produce distribution free prediction sets, requiring only i.i.d. data. While R packages implementing such methods for the univariate response framework have been developed,…

Methodology · Statistics 2022-06-30 Paolo Vergottini , Matteo Fontana , Jacopo Diquigiovanni , Aldo Solari , Simone Vantini

Recent advances in computational methods for intractable models have made network data increasingly amenable to statistical analysis. Exponential random graph models (ERGMs) emerged as one of the main families of models capable of capturing…

Computation · Statistics 2021-04-07 Alberto Caimo , Lampros Bouranis , Robert Krause , Nial Friel

fixest is an R package for fast and flexible econometric estimation. It provides a unified framework for applied research, with comprehensive support for a diverse class of models: ordinary least squares, instrumental variables, generalized…

Econometrics · Economics 2026-04-06 Laurent R. Bergé , Kyle Butts , Grant McDermott

We provide a general mathematical framework for selective inference with supervised model selection procedures characterized by quadratic forms in the outcome variable. Forward stepwise with groups of variables is an important special case…

Methodology · Statistics 2015-11-05 Joshua R. Loftus , Jonathan E. Taylor

Counterfactual reasoning typically involves considering alternatives to actual events. While often applied to understand past events, a distinct form-forward counterfactual reasoning-focuses on anticipating plausible future developments.…

Computation and Language · Computer Science 2025-10-03 Keane Ong , Rui Mao , Deeksha Varshney , Paul Pu Liang , Erik Cambria , Gianmarco Mengaldo

Summary: ipd is an open-source R software package for the downstream modeling of an outcome and its associated features where a potentially sizable portion of the outcome data has been imputed by an artificial intelligence or machine…

Correlation among the observations in high-dimensional regression modeling can be a major source of confounding. We present a new open-source package, plmmr, to implement penalized linear mixed models in R. This R package estimates…

Computation · Statistics 2026-05-13 Tabitha K. Peter , Anna C. Reisetter , Yujing Lu , Oscar A. Rysavy , Patrick J. Breheny

Heterogeneous treatment effects are driven by treatment effect modifiers, pre-treatment covariates that modify the effect of a treatment on an outcome. Current approaches for uncovering these variables are limited to low-dimensional data,…

Methodology · Statistics 2024-11-12 Philippe Boileau , Ning Leng , Nima S. Hejazi , Mark van der Laan , Sandrine Dudoit

In Bayesian statistics, the marginal likelihood (ML) is the key ingredient needed for model comparison and model averaging. Unfortunately, estimating MLs accurately is notoriously difficult, especially for models where posterior simulation…

Computation · Statistics 2023-12-12 Dennis Christensen , Per August Jarval Moen

Nonparametric regression models have recently surged in their power and popularity, accompanying the trend of increasing dataset size and complexity. While these models have proven their predictive ability in empirical settings, they are…

Methodology · Statistics 2020-07-23 Spencer Woody , Carlos M. Carvalho , Jared S. Murray

Estimating sample size and statistical power is an essential part of a good study design. This R package allows users to conduct power analysis based on Monte Carlo simulations in settings in which consideration of the correlations between…

Methodology · Statistics 2024-04-16 Phuc H. Nguyen , Stephanie M. Engel , Amy H. Herring

Systems that rely on forecasts to make decisions, e.g. control or energy trading systems, require frequent updates of the forecasts. Usually, the forecasts are updated whenever new observations become available, hence in an online setting.…

Structural Equation Modeling (SEM) is an umbrella term that includes numerous multivariate statistical techniques that are employed throughout a plethora of research areas, ranging from social to natural sciences. Until recently, SEM…

Applications · Statistics 2021-06-10 Georgy Meshcheryakov , Anna A. Igolkina , Maria G. Samsonova

Latent factor models (LFMs) such as matrix factorization achieve the state-of-the-art performance among various Collaborative Filtering (CF) approaches for recommendation. Despite the high recommendation accuracy of LFMs, a critical issue…

Machine Learning · Computer Science 2019-09-10 Weiyu Cheng , Yanyan Shen , Yanmin Zhu , Linpeng Huang