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In applications of linear mixed-effects models, experimenters often desire uncertainty quantification for random quantities, like predicted treatment effects for unobserved individuals or groups. For example, consider an agricultural…

Methodology · Statistics 2022-10-19 Nicholas Syring , Fernando Miguez , Jarad Niemi

Inferential models (IMs) are data-dependent, imprecise-probabilistic structures designed to quantify uncertainty about unknowns. As the name suggests, the focus has been on uncertainty quantification for inference and on its reliability…

Statistics Theory · Mathematics 2026-05-01 Ryan Martin , Shih-Ni Prim , Jonathan Williams

Missing data theory deals with the statistical methods in the occurrence of missing data. Missing data occurs when some values are not stored or observed for variables of interest. However, most of the statistical theory assumes that data…

Missing value imputation is an important practical problem. There is a large body of work on it, but there does not exist any work that formulates the problem in a structured output setting. Also, most applications have constraints on the…

Machine Learning · Computer Science 2013-11-12 Rahul Kidambi , Vinod Nair , Sundararajan Sellamanickam , S. Sathiya Keerthi

Mixed sample data augmentation strategies are actively used when training deep neural networks (DNNs). Recent studies suggest that they are effective at various tasks. However, the impact of mixed sample data augmentation on model…

Machine Learning · Computer Science 2025-06-18 Soyoun Won , Sung-Ho Bae , Seong Tae Kim

Multiple imputation is a straightforward method for handling missing data in a principled fashion. This paper presents an overview of multiple imputation, including important theoretical results and their practical implications for…

Methodology · Statistics 2018-01-15 Jared S. Murray

Conformal prediction is a theoretically grounded framework for constructing predictive intervals. We study conformal prediction with missing values in the covariates -- a setting that brings new challenges to uncertainty quantification. We…

Machine Learning · Statistics 2023-06-06 Margaux Zaffran , Aymeric Dieuleveut , Julie Josse , Yaniv Romano

Despite increasing interest in the field of Interpretable Machine Learning (IML), a significant gap persists between the technical objectives targeted by researchers' methods and the high-level goals of consumers' use cases. In this work,…

Machine Learning · Computer Science 2021-07-30 Valerie Chen , Jeffrey Li , Joon Sik Kim , Gregory Plumb , Ameet Talwalkar

Complex statistical models such as scalar-on-image regression often require strong assumptions to overcome the issue of non-identifiability. While in theory it is well understood that model assumptions can strongly influence the results,…

Methodology · Statistics 2020-05-04 Clara Happ , Sonja Greven , Volker J. Schmid

The use of flexible machine-learning (ML) models to generate imputations of missing data within the framework of Multiple Imputation (MI) has recently gained traction, particularly in observational settings. For randomised controlled trials…

Methodology · Statistics 2025-10-07 Mia S. Tackney , Jonathan W. Bartlett , Elizabeth Williamson , Kim May Lee

Interpretable machine learning (IML) becomes increasingly important in highly regulated industry sectors related to the health and safety or fundamental rights of human beings. In general, the inherently IML models should be adopted because…

Machine Learning · Computer Science 2021-11-03 Agus Sudjianto , Aijun Zhang

High-throughput technologies such as next generation sequencing allow biologists to observe cell function with unprecedented resolution, but the resulting datasets are too large and complicated for humans to understand without the aid of…

Applications · Statistics 2021-10-08 David S. Watson

Machine learning models have had discernible achievements in a myriad of applications. However, most of these models are black-boxes, and it is obscure how the decisions are made by them. This makes the models unreliable and untrustworthy.…

Machine Learning · Computer Science 2020-03-23 Raha Moraffah , Mansooreh Karami , Ruocheng Guo , Adrienne Raglin , Huan Liu

Inference problems with incomplete observations often aim at estimating population properties of unobserved quantities. One simple way to accomplish this estimation is to impute the unobserved quantities of interest at the individual level…

Methodology · Statistics 2012-10-16 Vladimir N. Minin , John D. O'Brien , Arseni Seregin

The growing need for trustworthy machine learning has led to the blossom of interpretability research. Numerous explanation methods have been developed to serve this purpose. However, these methods are deficiently and inappropriately…

Machine Learning · Computer Science 2022-03-29 Yipei Wang , Xiaoqian Wang

Automated Machine Learning-based systems' integration into a wide range of tasks has expanded as a result of their performance and speed. Although there are numerous advantages to employing ML-based systems, if they are not interpretable,…

Machine Learning · Computer Science 2022-12-08 Ioannis Mollas , Nick Bassiliades , Grigorios Tsoumakas

Large Language Models (LLMs) are increasingly deployed for clinical reasoning tasks, which inherently require eliciting calibrated probabilistic beliefs based on available evidence. However, real-world clinical data are frequently…

Artificial Intelligence · Computer Science 2026-03-19 Yuta Kobayashi , Vincent Jeanselme , Shalmali Joshi

Automated decision making is used routinely throughout our everyday life. Recommender systems decide which jobs, movies, or other user profiles might be interesting to us. Spell checkers help us to make good use of language. Fraud detection…

Machine Learning · Computer Science 2020-07-15 Alexander Jung , Pedro H. J. Nardelli

Often in real-world datasets, especially in high dimensional data, some feature values are missing. Since most data analysis and statistical methods do not handle gracefully missing values, the first step in the analysis requires the…

Machine Learning · Statistics 2016-12-08 Yehezkel S. Resheff , Daphna Weinshall

The output of Large Language Models (LLMs) are a function of the internal model's parameters and the input provided into the context window. The hypothesis presented here is that under a greedy sampling strategy the variance in the LLM's…

Artificial Intelligence · Computer Science 2025-02-20 Srijith Rajamohan , Ahmed Salhin , Josh Frazier , Rohit Kumar , Yu-Cheng Tsai , Todd Cook