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The Inverse Problem for the estimation of a point-wise approximation error occurring at the discretization and solving of the system of partial differential equations is addressed. The set of the differences between the numerical solutions…

数值分析 · 数学 2021-01-05 Aleksey Alekseev , Alexander Bondarev

The goal of any estimation study is an interval estimation of a the parameter(s) of interest. These estimations are mostly expressed using empirical confidence intervals that are based on sample point estimates of the corresponding…

统计方法学 · 统计学 2018-07-03 Ilya Novikov

We compute the integral of a function or the expectation of a random variable with minimal cost and use, for our new algorithm and for upper bounds of the complexity, i.i.d. samples. Under certain assumptions it is possible to select a…

数值分析 · 数学 2018-10-24 Robert J. Kunsch , Erich Novak , Daniel Rudolf

Clinical prediction models must be developed using sufficiently large datasets to minimise overfitting and ensure robust predictive performance. Existing sample size calculations assume complete predictor data for all included participants,…

统计方法学 · 统计学 2026-05-11 Glen P. Martin , Sian Bladon , Rebecca Whittle , Molly Wells , Gary S. Collins , Richard D. Riley

A great deal of effort has been devoted to reducing the risk of spurious scientific discoveries, from the use of sophisticated validation techniques, to deep statistical methods for controlling the false discovery rate in multiple…

机器学习 · 计算机科学 2016-03-03 Cynthia Dwork , Vitaly Feldman , Moritz Hardt , Toniann Pitassi , Omer Reingold , Aaron Roth

Many lifestyle intervention trials depend on collecting self-reported outcomes, like dietary intake, to assess the intervention's effectiveness. Self-reported outcome measures are subject to measurement error, which could impact treatment…

统计方法学 · 统计学 2020-04-06 Benjamin Ackerman , Juned Siddique , Elizabeth A. Stuart

Some classical uncertainty quantification problems require the estimation of multiple expectations. Estimating all of them accurately is crucial and can have a major impact on the analysis to perform, and standard existing Monte Carlo…

统计方法学 · 统计学 2022-12-02 Julien Demange-Chryst , François Bachoc , Jérôme Morio

Reducing the number of experimental units is one of the three pillars of the 3R principles (Replace, Reduce, Refine) in animal research. At the same time, statistical error rates need to be controlled to enable reliable inferences and…

统计方法学 · 统计学 2026-05-08 Leonhard Held , Fadoua Balabdaoui , Saverio Fontana , Samuel Pawel

When performing supervised learning with the model selected using validation error from sample splitting and cross validation, the minimum value of the validation error can be biased downward. We propose two simple methods that use the…

统计方法学 · 统计学 2018-02-13 Leying Guan

Bayesian estimation is increasingly popular for performing model based inference to support policymaking. These data are often collected from surveys under informative sampling designs where subject inclusion probabilities are designed to…

统计方法学 · 统计学 2018-07-13 Luis G. Leon-Novelo , Terrance D. Savitsky

There is tremendous interest in precision medicine as a means to improve patient outcomes by tailoring treatment to individual characteristics. An individualized treatment rule formalizes precision medicine as a map from patient information…

机器学习 · 统计学 2020-05-28 Daniel J. Luckett , Eric B. Laber , Michael R. Kosorok

Causal effect estimation seeks to determine the impact of an intervention from observational data. However, the existing causal inference literature primarily addresses treatment effects on frequently occurring events. But what if we are…

机器学习 · 统计学 2025-06-18 Jiyuan Tan , Jose Blanchet , Vasilis Syrgkanis

Matching is a widely used causal inference design that aims to approximate a randomized experiment using observational data by forming matched sets of treated and control units based on similarities in their covariates. Ideally, treated…

统计方法学 · 统计学 2026-04-06 Jianan Zhu , Jeffrey Zhang , Zijian Guo , Siyu Heng

Adaptive designs are commonly used in clinical and drug development studies for optimum utilization of available resources. In this article, we consider the problem of estimating the effect of the selected (better) treatment using a…

统计理论 · 数学 2023-01-24 Masihuddin , Neeraj Misra

We consider the problem of estimating the average treatment effect (ATE) in a semi-supervised learning setting, where a very small proportion of the entire set of observations are labeled with the true outcome but features predictive of the…

统计方法学 · 统计学 2020-10-27 David Cheng , Ashwin Ananthakrishnan , Tianxi Cai

Given a partial differential equation (PDE), goal-oriented error estimation allows us to understand how errors in a diagnostic quantity of interest (QoI), or goal, occur and accumulate in a numerical approximation, for example using the…

机器学习 · 计算机科学 2022-07-25 Joseph G. Wallwork , Jingyi Lu , Mingrui Zhang , Matthew D. Piggott

This paper presents an extensive study on the application of AI techniques for software effort estimation in the past five years from 2017 to 2023. By overcoming the limitations of traditional methods, the study aims to improve accuracy and…

软件工程 · 计算机科学 2024-02-09 Nhi Tran , Tan Tran , Nam Nguyen

Inverse probability weighting (IPW) is widely used in many areas when data are subject to unrepresentativeness, missingness, or selection bias. An inevitable challenge with the use of IPW is that the IPW estimator can be remarkably unstable…

统计方法学 · 统计学 2021-11-29 Yukun Liu , Yan Fan

We propose EVOlutionary Selector (EVOS), an efficient training paradigm for accelerating Implicit Neural Representation (INR). Unlike conventional INR training that feeds all samples through the neural network in each iteration, our…

计算机视觉与模式识别 · 计算机科学 2025-04-07 Weixiang Zhang , Shuzhao Xie , Chengwei Ren , Siyi Xie , Chen Tang , Shijia Ge , Mingzi Wang , Zhi Wang

Despite the popularity of Shapley Values in explaining neural text classification models, computing them is prohibitive for large pretrained models due to a large number of model evaluations. In practice, Shapley Values are often estimated…

计算与语言 · 计算机科学 2023-06-01 Chenghao Yang , Fan Yin , He He , Kai-Wei Chang , Xiaofei Ma , Bing Xiang