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The optimum sample allocation in stratified sampling is one of the basic issues of survey methodology. It is a procedure of dividing the overall sample size into strata sample sizes in such a way that for given sampling designs in strata…

统计方法学 · 统计学 2024-03-27 Jacek Wesołowski , Robert Wieczorkowski , Wojciech Wójciak

Subsampling is a widely used and effective approach for addressing the computational challenges posed by massive datasets. Substantial progress has been made in developing non-uniform, probability-based subsampling schemes that prioritize…

统计方法学 · 统计学 2026-05-07 Dingyi Wang , Haiying Wang , Qingpei Hu

In this paper, we propose a stratified sampling algorithm in which the random drawings made in the strata to compute the expectation of interest are also used to adaptively modify the proportion of further drawings in each stratum. These…

统计方法学 · 统计学 2007-12-04 Pierre Etore , Benjamin Jourdain

We derive a formula for the optimal sample allocation in a general stratified scheme under upper bounds on the sample strata-sizes. Such a general scheme includes SRSWOR within strata as a special case. The solution is given in terms of…

统计理论 · 数学 2021-06-01 Jacek Wesołowski , Robert Wieczorkowski , Wojciech Wójciak

We derive optimality conditions for the optimum sample allocation problem in stratified sampling, formulated as the determination of the fixed strata sample sizes that minimize the total cost of the survey, under the assumed level of…

统计理论 · 数学 2023-12-11 Wojciech Wójciak

The R package SamplingStrata was developed in 2011 as an instrument to optimize the design of stratified samples. The optimization is performed by considering the stratification variables available in the sampling frame, and the precision…

统计方法学 · 统计学 2020-04-21 Marco Ballin , Giulio Barcaroli

This paper investigates the use of stratified sampling as a variance reduction technique for approximating integrals over large dimensional spaces. The accuracy of this method critically depends on the choice of the space partition, the…

概率论 · 数学 2009-09-15 Pierre Etoré , Gersende Fort , Benjamin Jourdain , Eric Moulines

Online controlled experiments, also known as A/B testing, are the digital equivalent of randomized controlled trials for estimating the impact of marketing campaigns on website visitors. Stratified sampling is a traditional technique for…

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…

统计方法学 · 统计学 2019-11-25 Anirban Mondal , Abhijit Mandal

Recent works have proposed optimal subsampling algorithms to improve computational efficiency in large datasets and to design validation studies in the presence of measurement error. Existing approaches generally fall into two categories:…

统计方法学 · 统计学 2025-12-25 Jasper B. Yang , Thomas Lumley , Bryan E. Shepherd , Pamela A. Shaw

Online sampling-supported visual analytics is increasingly important, as it allows users to explore large datasets with acceptable approximate answers at interactive rates. However, existing online spatiotemporal sampling techniques are…

Random column sampling is not guaranteed to yield data sketches that preserve the underlying structures of the data and may not sample sufficiently from less-populated data clusters. Also, adaptive sampling can often provide accurate low…

机器学习 · 计算机科学 2017-10-11 Mostafa Rahmani , George Atia

Ad-hoc queries over frequently updated data in a flat schema are common in real-time data analysis applications and often require very low latency. Online aggregation can achieve so by providing approximate aggregation answers with…

数据库 · 计算机科学 2026-05-01 Yunnan Yu , Zhuoyue Zhao

Data valuation, especially quantifying data value in algorithmic prediction and decision-making, is a fundamental problem in data trading scenarios. The most widely used method is to define the data Shapley and approximate it by means of…

机器学习 · 统计学 2023-05-23 Mengmeng Wu , Ruoxi Jia , Changle Lin , Wei Huang , Xiangyu Chang

Traditional approaches to variational inference rely on parametric families of variational distributions, with the choice of family playing a critical role in determining the accuracy of the resulting posterior approximation. Simple…

机器学习 · 统计学 2023-09-27 Martin Jankowiak , Du Phan

We introduce a streaming framework for analyzing stochastic approximation/optimization problems. This streaming framework is analogous to solving optimization problems using time-varying mini-batches that arrive sequentially. We provide…

机器学习 · 计算机科学 2023-04-25 Antoine Godichon-Baggioni , Nicklas Werge , Olivier Wintenberger

This paper presents a robust version of the stratified sampling method when multiple uncertain input models are considered for stochastic simulation. Various variance reduction techniques have demonstrated their superior performance in…

最优化与控制 · 数学 2023-06-16 Seung Min Baik , Eunshin Byon , Young Myoung Ko

In online learning from non-stationary data streams, it is necessary to learn robustly to outliers and to adapt quickly to changes in the underlying data generating mechanism. In this paper, we refer to the former attribute of online…

机器学习 · 统计学 2021-09-29 Shintaro Fukushima , Atsushi Nitanda , Kenji Yamanishi

Recommender systems have played an increasingly important role in providing users with tailored suggestions based on their preferences. However, the conventional offline recommender systems cannot handle the ubiquitous data stream well. To…

信息检索 · 计算机科学 2020-09-16 Yan Zhao , Shoujin Wang , Yan Wang , Hongwei Liu

The performance of a machine learning system is usually evaluated by using i.i.d.\ observations with true labels. However, acquiring ground truth labels is expensive, while obtaining unlabeled samples may be cheaper. Stratified sampling can…

机器学习 · 计算机科学 2019-07-29 Tiancheng Yu , Xiyu Zhai , Suvrit Sra
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