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In safety-critical applications data-driven models must not only be accurate but also provide reliable uncertainty estimates. This property, commonly referred to as calibration, is essential for risk-aware decision-making. In regression a…

机器学习 · 计算机科学 2026-04-23 Jelke Wibbeke , Nico Schönfisch , Sebastian Rohjans , Andreas Rauh

Inspired by the key principle behind the EM algorithm, we propose a general methodology for conducting wavelet estimation with irregularly-spaced data by viewing the data as the observed portion of an augmented regularly-spaced data set. We…

统计理论 · 数学 2007-06-13 Thomas C. M. Lee , Xiao-Li Meng

One fundamental statistical question for research areas such as precision medicine and health disparity is about discovering effect modification of treatment or exposure by observed covariates. We propose a semiparametric framework for…

统计方法学 · 统计学 2020-08-04 Muxuan Liang , Menggang Yu

Many core concepts in political science are latent and therefore can only be measured with error. Measurement error in a predictor attenuates slope coefficient estimates in regression, biasing them toward zero. We show that widely used…

应用统计 · 统计学 2026-02-04 Connor T. Jerzak , Stephen A. Jessee

Analysis of non-asymptotic estimation error and structured statistical recovery based on norm regularized regression, such as Lasso, needs to consider four aspects: the norm, the loss function, the design matrix, and the noise model. This…

机器学习 · 统计学 2015-12-01 Arindam Banerjee , Sheng Chen , Farideh Fazayeli , Vidyashankar Sivakumar

In statistical inference, confidence set procedures are typically evaluated based on their validity and width properties. Even when procedures achieve rate-optimal widths, confidence sets can still be excessively wide in practice due to…

统计理论 · 数学 2025-03-20 Kenta Takatsu

This book chapter introduces regression approaches and regression adjustment for Approximate Bayesian Computation (ABC). Regression adjustment adjusts parameter values after rejection sampling in order to account for the imperfect match…

统计方法学 · 统计学 2017-07-06 Michael GB Blum

Supervised and unsupervised homography estimation methods depend on image pairs tailored to specific modalities to achieve high accuracy. However, their performance deteriorates substantially when applied to unseen modalities. To address…

计算机视觉与模式识别 · 计算机科学 2026-03-05 Jinkun You , Jiaxin Cheng , Jie Zhang , Yicong Zhou

The key factor in implementing machine learning algorithms in decision-making situations is not only the accuracy of the model but also its confidence level. The confidence level of a model in a classification problem is often given by the…

机器学习 · 统计学 2024-05-02 Masanari Kimura , Hiroki Naganuma

This paper explores the effects of simulated moments on the performance of inference methods based on moment inequalities. Commonly used confidence sets for parameters are level sets of criterion functions whose boundary points may depend…

计量经济学 · 经济学 2018-04-12 Hiroaki Kaido , Jiaxuan Li , Marc Rysman

This paper provides a general framework to study the effect of sampling properties of training data on the generalization error of the learned machine learning (ML) models. Specifically, we propose a new spectral analysis of the…

机器学习 · 计算机科学 2019-06-11 Bhavya Kailkhura , Jayaraman J. Thiagarajan , Qunwei Li , Peer-Timo Bremer

Statistical models incorporating change points are common in practice, especially in the area of biomedicine. This approach is appealing in that a specific parameter is introduced to account for the abrupt change in the response variable…

统计理论 · 数学 2008-12-18 Hongling Zhou , Kung-Yee Liang

Simulation methods are among the most ubiquitous methodological tools in statistical science. In particular, statisticians often is simulation to explore properties of statistical functionals in models for which developed statistical theory…

统计方法学 · 统计学 2023-08-22 Tyrel Stokes , Ian Shrier , Russell Steele

The problem of corrupted data, missing features, or missing modalities continues to plague the modern machine learning landscape. To address this issue, a class of regularization methods that enforce consistency between imputed and fully…

机器学习 · 计算机科学 2026-02-03 Yinsong Wang , Shahin Shahrampour

Wearable devices permit the continuous monitoring of biological processes, such as blood glucose metabolism, and behavior, such as sleep quality and physical activity. The continuous monitoring often occurs in epochs of 60 seconds over…

统计方法学 · 统计学 2024-04-23 Yuanyuan Luan , Roger S. Zoh , Erjia Cui , Xue Lan , Sneha Jadhav , Carmen D. Tekwe

The problem of characterising the accuracy of, and disturbance caused by a joint measurement of position and momentum is investigated. In a previous paper the problem was discussed in the context of the unbiased measurements considered by…

量子物理 · 物理学 2007-05-23 D. M. Appleby

Data augmentation is one of the most popular techniques for improving the robustness of neural networks. In addition to directly training the model with original samples and augmented samples, a torrent of methods regularizing the distance…

机器学习 · 计算机科学 2020-11-30 Haohan Wang , Zeyi Huang , Xindi Wu , Eric P. Xing

Common practice in modern machine learning involves fitting a large number of parameters relative to the number of observations. These overparameterized models can exhibit surprising generalization behavior, e.g., ``double descent'' in the…

机器学习 · 统计学 2024-10-03 Pratik Patil , Jin-Hong Du , Ryan J. Tibshirani

Matching a nonprobability sample to a probability sample is one strategy both for selecting the nonprobability units and for weighting them. This approach has been employed in the past to select subsamples of persons from a large panel of…

统计方法学 · 统计学 2021-12-03 Zhan Liu , Richard Valliant

Objective: This paper proposes a framework to support the scientific research of standards so that they can be better measured, evaluated, and designed. Methods: Beginning with the notion of common models, the framework describes the…

其他计算机科学 · 计算机科学 2023-08-17 Enrico Coiera