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This work considers the problem of detecting signals from multiple sequentially observed data streams, where only one stream can be observed at every time instant. The goal is to detect signals as quickly as possible while controlling the…

Methodology · Statistics 2026-04-07 Yiming Xing , Georgios Fellouris

For many tasks of data analysis, we may only have the information of the explanatory variable and the evaluation of the response values are quite expensive. While it is impractical or too costly to obtain the responses of all units, a…

Computation · Statistics 2023-04-07 Wei Zheng , Ting Tian , Xueqin Wang

Multistage sequential decision-making scenarios are commonly seen in the healthcare diagnosis process. In this paper, an active learning-based method is developed to actively collect only the necessary patient data in a sequential manner.…

Machine Learning · Statistics 2022-01-14 Hongzhen Tian , Reuven Zev Cohen , Chuck Zhang , Yajun Mei

To analyse a very large data set containing lengthy variables, we adopt a sequential estimation idea and propose a parallel divide-and-conquer method. We conduct several conventional sequential estimation procedures separately, and properly…

Methodology · Statistics 2018-12-27 Zhanfeng Wang , Yuan-chin Ivan Chang

The problem of simultaneously testing the marginal distributions of sequentially monitored, independent data streams is considered. The decisions for the various testing problems can be made at different times, using data from all streams,…

Methodology · Statistics 2023-04-21 Yiming Xing , Georgios Fellouris

We investigate the problem of jointly testing multiple hypotheses and estimating a random parameter of the underlying distribution in a sequential setup. The aim is to jointly infer the true hypothesis and the true parameter while using on…

Signal Processing · Electrical Eng. & Systems 2024-02-02 Dominik Reinhard , Michael Fauß , Abdelhak M. Zoubir

Motivated by modern applications such as computerized adaptive testing, sequential rank aggregation, and heterogeneous data source selection, we study the problem of active sequential estimation, which involves adaptively selecting…

Statistics Theory · Mathematics 2024-02-14 Xiaoou Li , Hongru Zhao

We introduce dynamic nested sampling: a generalisation of the nested sampling algorithm in which the number of "live points" varies to allocate samples more efficiently. In empirical tests the new method significantly improves calculation…

Computation · Statistics 2019-08-27 Edward Higson , Will Handley , Mike Hobson , Anthony Lasenby

We propose a new sequential monitoring scheme for changes in the parameters of a multivariate time series. In contrast to procedures proposed in the literature which compare an estimator from the training sample with an estimator calculated…

Statistics Theory · Mathematics 2020-07-28 Josua Gösmann , Tobias Kley , Holger Dette

Sequential sampling occurs when the entire population is not known in advance and data are obtained one at a time or in groups of units. This manuscript proposes a new algorithm to sequentially select a balanced sample. The algorithm…

Methodology · Statistics 2023-01-04 Raphaël Jauslin , Bardia Panahbehagh , Yves Tillé

In the measurement-constrained problems, despite the availability of large datasets, we may be only affordable to observe the labels on a small portion of the large dataset. This poses a critical question that which data points are most…

Statistics Theory · Mathematics 2024-11-22 Jingyi Duan , Yang Ning

A specific family of point processes are introduced that allow to select samples for the purpose of estimating the mean or the integral of a function of a real variable. These processes, called quasi-systematic processes, depend on a tuning…

Methodology · Statistics 2016-07-19 Matthieu Wilhelm , Yves Tillé , Lionel Qualité

We present adaptive sequential SAA (sample average approximation) algorithms to solve large-scale two-stage stochastic linear programs. The iterative algorithm framework we propose is organized into \emph{outer} and \emph{inner} iterations…

Optimization and Control · Mathematics 2020-12-08 Raghu Pasupathy , Yongjia Song

This paper studies the problem of {\em learning} the probability distribution $P_X$ of a discrete random variable $X$ using indirect and sequential samples. At each time step, we choose one of the possible $K$ functions, $g_1, \ldots, g_K$…

Machine Learning · Computer Science 2018-08-17 Samarth Gupta , Gauri Joshi , Osman Yağan

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

In this paper, we propose a broad and general sequential sampling scheme, which incorporates four different types of sampling procedures: i) the classic Anscombe-Chow-Robbins purely sequential sampling procedure; ii) the ordinary…

Methodology · Statistics 2022-07-18 Jun Hu , Yan Zhuang

Sampling is a fundamental problem in computer science and statistics. However, for a given task and stream, it is often not possible to choose good sampling probabilities in advance. We derive a general framework for adaptively changing the…

Machine Learning · Statistics 2022-06-16 Daniel Ting

Financial statement auditing is conducted under a risk-based evidence approach to obtain reasonable assurance. In practice, auditors often perform additional sampling or related procedures when an initial sample does not provide a…

Statistical Finance · Quantitative Finance 2026-04-08 Masahiro Kato , Kei Nakagawa

Active learning aims to achieve greater accuracy with less training data by selecting the most useful data samples from which it learns. Single-criterion based methods (i.e., informativeness and representativeness based methods) are simple…

Machine Learning · Computer Science 2021-07-06 Xueying Zhan , Qing Li , Antoni B. Chan

We consider the problem of sequential sampling from a finite number of independent statistical populations to maximize the expected infinite horizon average outcome per period, under a constraint that the expected average sampling cost does…

Machine Learning · Statistics 2012-01-20 Apostolos Burnetas , Odysseas Kanavetas
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