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We study a two-stage mixed-integer linear program (MILP) with more than 1 million binary variables in the second stage. We develop a two-level approach by constructing a semi-coarse model (coarsened with respect to variables) and a coarse…

Optimization and Control · Mathematics 2015-04-20 Fu Lin , Sven Leyffer , Todd Munson

While the increasing number of Vantage Points (VPs) in RIPE RIS and RouteViews improves our understanding of the Internet, the quadratically increasing volume of collected data poses a challenge to the scientific and operational use of the…

Networking and Internet Architecture · Computer Science 2024-05-24 Thomas Alfroy , Thomas Holterbach , Thomas Krenc , KC Claffy , Cristel Pelsser

Monte Carlo methods are widely used for approximating complicated, multidimensional integrals for Bayesian inference. Population Monte Carlo (PMC) is an important class of Monte Carlo methods, which utilizes a population of proposals to…

Methodology · Statistics 2022-08-30 Chaofan Huang , V. Roshan Joseph , Simon Mak

Performance-based engineering for natural hazards facilitates the design and appraisal of structures with rigorous evaluation of their uncertain structural behavior under potentially extreme stochastic loads expressed in terms of failure…

Computational Engineering, Finance, and Science · Computer Science 2023-05-11 Srinivasan Arunachalam , Seymour M. J. Spence

This study focuses on the novel municipal-scale rural integrated energy system (RIES), which encompasses energy supply and application. By constructing a seven-dimensional evaluation system including energy efficiency, energy supply,…

Systems and Control · Electrical Eng. & Systems 2025-06-19 Ruonan Lia , Chang Wena , Mingyu Yan , Congcong Wu , Ahmed Lotfy Elrefai , Xiaotong Zhang , Sahban Wael Saeed Alnaser

Nonresponse after probability sampling is a universal challenge in survey sampling, often necessitating adjustments to mitigate sampling and selection bias simultaneously. This study explored the removal of bias and effective utilization of…

Methodology · Statistics 2025-11-13 Kosuke Morikawa , Kenji Beppu , Wataru Aida

Allocation of samples in stratified and/or multistage sampling is one of the central issues of sampling theory. In a survey of a population often the constraints for precision of estimators of subpopulations parameters have to be taken care…

Statistics Theory · Mathematics 2015-03-31 Jacek Wesolowski , Robert Wieczorkowski

A central theme in the field of survey statistics is estimating population-level quantities through data coming from potentially non-representative samples of the population. Multilevel Regression and Poststratification (MRP), a model-based…

Methodology · Statistics 2020-07-17 Yuxiang Gao , Lauren Kennedy , Daniel Simpson , Andrew Gelman

The evaluation of modelled or satellite-derived soil moisture (SM) estimates is usually dependent on comparisons against in-situ SM measurements. However, the inherent mismatch in spatial support (i.e., scale) necessitates a cautious…

Machine Learning · Computer Science 2024-04-09 Yi Yu , Brendan P. Malone , Luigi J. Renzullo

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

Model selection in the large-P small-N scenario is discussed in the framework of two-stage models. Two specific models are considered, namely, two-stage least squares (TSLS) involving instrumental variables (IVs), and mediation models. In…

Applications · Statistics 2020-03-25 Haim Bar , Kangyan Liu

Multivariable Mendelian Randomization (MVMR) estimates the direct causal effects of multiple risk factors on an outcome using genetic variants as instruments. The growing availability of summary-level genetic data has created opportunities…

Methodology · Statistics 2025-11-18 Yinxiang Wu , Neil M. Davies , Ting Ye

Multistage sampling is commonly used for household surveys when there exists no sampling frame, or when the population is scattered over a wide area. Multistage sampling usually introduces a complex dependence in the selection of the final…

Statistics Theory · Mathematics 2015-11-18 Guillaume Chauvet

Many modern statistical applications involve a two-level sampling scheme that first samples subjects from a population and then samples observations on each subject. These schemes often are designed to learn both the population-level…

Methodology · Statistics 2024-04-02 Akira Horiguchi , Li Ma , Botond T. Szabó

Satellite-based slum segmentation holds significant promise in generating global estimates of urban poverty. However, the morphological heterogeneity of informal settlements presents a major challenge, hindering the ability of models…

Computer Vision and Pattern Recognition · Computer Science 2025-11-14 Sumin Lee , Sungwon Park , Jeasurk Yang , Jihee Kim , Meeyoung Cha

The mean past lifetime (MPL) is an important tool in reliability and survival analysis for measuring the average time elapsed since the occurrence of an event, under the condition that the event has occurred before a specific time $t>0$.…

Methodology · Statistics 2021-05-21 Elham Zamanzade , Majid Asadi , Afshin Parvardeh , Ehsan Zamanzade

In this paper, we address the challenge of sampling in scenarios where limited resources prevent exhaustive measurement across all subjects. We consider a setting where samples are drawn from multiple groups, each following a distribution…

Econometrics · Economics 2024-08-29 Carol Liu

Key populations at high risk of HIV infection are critical for understanding and monitoring HIV epidemics, but global estimation is hampered by sparse, uneven data. We analyze data from 199 countries for female sex workers (FSW), men who…

Applications · Statistics 2025-09-16 Jiahao Zhang , Keith Sabin , Le Bao

A new estimation method is presented for network sampling designs, including Respondent Driven Sampling (RDS) and Snowball (SB) sampling. These types of link-tracing designs are essential for studies of hidden populations, such as people at…

Methodology · Statistics 2019-04-24 Steve Thompson

Wireless Mesh Network is presented as an appealing solution for bridging the digital divide between developed and under-developed regions. But the planning and deployment of these networks are not just a technical matter, since the success…

Networking and Internet Architecture · Computer Science 2015-05-01 Jean Louis Ebongue Kedieng Fendji , Jean Michel Nlong