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Geographical data are generally autocorrelated. In this case, it is preferable to select spread units. In this paper, we propose a new method for selecting well-spread samples from a finite spatial population with equal or unequal inclusion…

Methodology · Statistics 2020-08-11 Raphaël Jauslin , Yves Tillé

The two-sample problem, which consists in testing whether independent samples on $\mathbb{R}^d$ are drawn from the same (unknown) distribution, finds applications in many areas. Its study in high-dimension is the subject of much attention,…

Statistics Theory · Mathematics 2023-02-09 Stephan Clémençon , Myrto Limnios , Nicolas Vayatis

Population Monte Carlo (PMC) sampling methods are powerful tools for approximating distributions of static unknowns given a set of observations. These methods are iterative in nature: at each step they generate samples from a proposal…

Computation · Statistics 2022-01-17 Víctor Elvira , Luca Martino , David Luengo , Mónica F. Bugallo

We consider a simple approach to solving assortment optimization under the random utility maximization model. The approach uses Monte-Carlo simulation to construct a ranking-based choice model that serves as a proxy for the true choice…

Optimization and Control · Mathematics 2025-10-02 Hassaan Khalid , Bradley Sturt

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…

Methodology · Statistics 2022-12-02 Julien Demange-Chryst , François Bachoc , Jérôme Morio

Identifying the underlying models in a set of data points contaminated by noise and outliers, leads to a highly complex multi-model fitting problem. This problem can be posed as a clustering problem by the projection of higher order…

Computer Vision and Pattern Recognition · Computer Science 2018-08-01 Ruwan Tennakoon , Alireza Sadri , Reza Hoseinnezhad , Alireza Bab-Hadiashar

Many machine learning applications require operating on a spatially distributed dataset. Despite technological advances, privacy considerations and communication constraints may prevent gathering the entire dataset in a central unit. In…

Machine Learning · Statistics 2024-01-30 Alexandros E. Tzikas , Licio Romao , Mert Pilanci , Alessandro Abate , Mykel J. Kochenderfer

Subsampling algorithms for various parametric regression models with massive data have been extensively investigated in recent years. However, all existing studies on subsampling heavily rely on clean massive data. In practical…

Statistics Theory · Mathematics 2025-06-11 Jiangshan Ju , Mingqiu Wang , Shengli Zhao

Improving efficiency of importance sampler is at the center of research in Monte Carlo methods. While adaptive approach is usually difficult within the Markov Chain Monte Carlo framework, the counterpart in importance sampling can be…

Methodology · Statistics 2007-12-11 Heng Lian

There are many different proposed procedures for sample size planning for the Wilcoxon-Mann-Whitney test at given type-I and type-II error rates $\alpha$ and $\beta$, respectively. Most methods assume very specific models or types of data…

Methodology · Statistics 2018-10-10 Martin Happ , Arne C. Bathke , Edgar Brunner

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…

Optimization and Control · Mathematics 2023-06-16 Seung Min Baik , Eunshin Byon , Young Myoung Ko

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

For high volume data streams and large data warehouses, sampling is used for efficient approximate answers to aggregate queries over selected subsets. Mathematically, we are dealing with a set of weighted items and want to support queries…

Data Structures and Algorithms · Computer Science 2007-05-23 Mario Szegedy , Mikkel Thorup

The proportional fair resource allocation problem is a major problem studied in flow control of networks, operations research, and economic theory, where it has found numerous applications. This problem, defined as the constrained…

Optimization and Control · Mathematics 2022-11-29 Francisco Criado , David Martínez-Rubio , Sebastian Pokutta

Generative models typically sample outputs independently, and recent inference-time guidance and scaling algorithms focus on improving the quality of individual samples. However, in real-world applications, users are often presented with a…

Computer Vision and Pattern Recognition · Computer Science 2025-08-22 Gaurav Parmar , Or Patashnik , Daniil Ostashev , Kuan-Chieh Wang , Kfir Aberman , Srinivasa Narasimhan , Jun-Yan Zhu

This study proposes a computationally efficient semiparametric distribution estimator, which is a slight modification of the naive mixture proposed by Schuster and Yakowitz (1985) and Olkin and Spiegelman (1987). The proposed method is…

Statistics Theory · Mathematics 2025-09-12 Taku Moriyama

Feature attribution methods, or saliency maps, are one of the most popular approaches for explaining the decisions of complex machine learning models such as deep neural networks. In this study, we propose a stochastic optimization approach…

Machine Learning · Statistics 2018-07-17 Kouichi Ikeno , Satoshi Hara

Extreme multi-label classification (XML) is becoming increasingly relevant in the era of big data. Yet, there is no method for effectively generating stratified partitions of XML datasets. Instead, researchers typically rely on provided…

Machine Learning · Computer Science 2021-03-08 Maximillian Merrillees , Lan Du

This work revisits optimal response-adaptive designs from a type-I error rate perspective, highlighting when and how much these allocations exacerbate type-I error rate inflation - an issue previously undocumented. We explore a range of…

Methodology · Statistics 2025-09-09 Lukas Pin , Sofía S. Villar , William F. Rosenberger

Modern stochastic optimization methods often rely on uniform sampling which is agnostic to the underlying characteristics of the data. This might degrade the convergence by yielding estimates that suffer from a high variance. A possible…

Machine Learning · Statistics 2018-06-07 Zalán Borsos , Andreas Krause , Kfir Y. Levy