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Modern statistical analysis often encounters datasets with large sizes. For these datasets, conventional estimation methods can hardly be used immediately because practitioners often suffer from limited computational resources. In most…

Methodology · Statistics 2023-04-14 Shuyuan Wu , Xuening Zhu , Hansheng Wang

Supervised learning under measurement constraints is a common challenge in statistical and machine learning. In many applications, despite extensive design points, acquiring responses for all points is often impractical due to resource…

Methodology · Statistics 2025-03-19 Lin Wang

System modeling is a classical approach to ensure their reliability since it is suitable both for a formal verification and for software testing techniques. In the context of model-based testing an approach combining random testing and…

Software Engineering · Computer Science 2018-06-14 Julien Bernard , Pierre-Cyrille Héam , Olga Kouchnarenko

Biased sampling and missing data complicates statistical problems ranging from causal inference to reinforcement learning. We often correct for biased sampling of summary statistics with matching methods and importance weighting. In this…

Statistics Theory · Mathematics 2022-06-02 James Sharpnack

Computational capability often falls short when confronted with massive data, posing a common challenge in establishing a statistical model or statistical inference method dealing with big data. While subsampling techniques have been…

Methodology · Statistics 2024-10-31 Yixiao Ruan , Zan Li , Zhaohui Li , Dennis K. J. Lin , Qingpei Hu , Dan Yu

Sampling is often a necessary evil to reduce the processing and storage costs of distributed tracing. In this work, we describe a scalable and adaptive sampling approach that can preserve events of interest better than the widely used…

Data Structures and Algorithms · Computer Science 2021-07-19 Otmar Ertl

A finite set is "hidden" if its elements are not directly enumerable or if its size cannot be ascertained via a deterministic query. In public health, epidemiology, demography, ecology and intelligence analysis, researchers have developed a…

Statistics Theory · Mathematics 2019-10-17 Si Cheng , Daniel J. Eck , Forrest W. Crawford

This paper proposes probabilistic conformal prediction (PCP), a predictive inference algorithm that estimates a target variable by a discontinuous predictive set. Given inputs, PCP construct the predictive set based on random samples from…

Machine Learning · Statistics 2022-06-22 Zhendong Wang , Ruijiang Gao , Mingzhang Yin , Mingyuan Zhou , David M. Blei

In various situations one is given only the predictions of multiple classifiers over a large unlabeled test data. This scenario raises the following questions: Without any labeled data and without any a-priori knowledge about the…

Machine Learning · Statistics 2014-10-31 Ariel Jaffe , Boaz Nadler , Yuval Kluger

We introduce a very general method for sparse and large-scale variable selection. The large-scale regression settings is such that both the number of parameters and the number of samples are extremely large. The proposed method is based on…

Statistics Theory · Mathematics 2019-07-31 Jelena Bradic

Determining if two histograms are consistent, whether they have been drawn from the same underlying distribution or not, is a common problem in physics. Existing approaches are not only limited in power but also inapplicable to histograms…

Data Analysis, Statistics and Probability · Physics 2010-09-29 M. J. Betancourt

Joining records with all other records that meet a linkage condition can result in an astronomically large number of combinations due to many-to-many relationships. For such challenging (acyclic) joins, a random sample over the join result…

Databases · Computer Science 2022-01-11 Michael Shekelyan , Graham Cormode , Peter Triantafillou , Ali Shanghooshabad , Qingzhi Ma

Nested sampling has emerged as a valuable tool for Bayesian analysis, in particular for determining the Bayesian evidence. The method is based on a specific type of random sampling of the likelihood function and prior volume of the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-27 Charles R. Keeton

When randomized ensemble methods such as bagging and random forests are implemented, a basic question arises: Is the ensemble large enough? In particular, the practitioner desires a rigorous guarantee that a given ensemble will perform…

Machine Learning · Statistics 2019-08-06 Miles E. Lopes , Suofei Wu , Thomas C. M. Lee

Estimation frameworks for statistical inference are preferred to hypothesis testing when quantifying uncertainty and precise estimation are more valuable than binary decisions about statistical significance. Study design for…

Methodology · Statistics 2025-10-29 Luke Hagar , Nathaniel T. Stevens

Causal discovery can be a powerful tool for investigating causality when a system can be observed but is inaccessible to experiments in practice. Despite this, it is rarely used in any scientific or medical fields. One of the major hurdles…

Machine Learning · Statistics 2019-10-07 Erich Kummerfeld , Alexander Rix

This paper considers properties of an optimization based sampler for targeting the posterior distribution when the likelihood is intractable and auxiliary statistics are used to summarize information in the data. Our reverse sampler…

Methodology · Statistics 2015-12-02 Jean-Jacques Forneron , Serena Ng

The comparison of a parameter in $k$ populations is a classical problem in statistics. Testing for the equality of means or variances are typical examples. Most procedures designed to deal with this problem assume that $k$ is fixed and that…

Sample coordination, where similar instances have similar samples, was proposed by statisticians four decades ago as a way to maximize overlap in repeated surveys. Coordinated sampling had been since used for summarizing massive data sets.…

Databases · Computer Science 2013-08-05 Edith Cohen , Haim Kaplan

Adequate sampling is essential for the well-functioning of a market surveillance system. As small as possible statistically significant sample size is the main factor that determines the costs of market surveillance actions. This paper…

Applications · Statistics 2019-11-06 Ivan Hendrikx , Nikola Tuneski