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Testing for association or dependence between pairs of random variables is a fundamental problem in statistics. In some applications, data are subject to selection bias that causes dependence between observations even when it is absent from…

统计方法学 · 统计学 2020-10-13 Yaniv Tenzer , Micha Mandel , Or Zuk

We propose and develop a novel and effective perfect sampling methodology for simulating from posteriors corresponding to mixtures with either known (fixed) or unknown number of components. For the latter we consider the Dirichlet…

统计计算 · 统计学 2012-03-14 Sabyasachi Mukhopadhyay , Sourabh Bhattacharya

In statistics and machine learning, logistic regression is a widely-used supervised learning technique primarily employed for binary classification tasks. When the number of observations greatly exceeds the number of predictor variables, we…

机器学习 · 统计学 2024-04-02 Agniva Chowdhury , Pradeep Ramuhalli

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…

数据结构与算法 · 计算机科学 2007-05-23 Mario Szegedy , Mikkel Thorup

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…

统计方法学 · 统计学 2023-01-04 Raphaël Jauslin , Bardia Panahbehagh , Yves Tillé

Conformal prediction is a model-agnostic approach to generating prediction sets that cover the true class with a high probability. Although its prediction set size is expected to capture aleatoric uncertainty, there is a lack of evidence…

机器学习 · 计算机科学 2025-11-24 Misgina Tsighe Hagos , Claes Lundström

This paper presents a conformal prediction method for classification in highly imbalanced and open-set settings, where there are many possible classes and not all may be represented in the data. Existing approaches require a finite, known…

机器学习 · 统计学 2025-10-16 Tianmin Xie , Yanfei Zhou , Ziyi Liang , Stefano Favaro , Matteo Sesia

Faced with massive data, subsampling is a commonly used technique to improve computational efficiency, and using nonuniform subsampling probabilities is an effective approach to improve estimation efficiency. For computational efficiency,…

统计理论 · 数学 2022-05-19 Jing Wang , Jiahui Zou , HaiYing Wang

Missing covariates are not uncommon in capture-recapture studies. When covariate information is missing at random in capture-recapture data, an empirical full likelihood method has been demonstrated to outperform…

统计方法学 · 统计学 2025-07-15 Yang Liu , Yukun Liu , Pengfei Li , Riquan Zhang

We develop a new sampling method to estimate eigenvector centrality on incomplete networks. Our goal is to estimate this global centrality measure having at disposal a limited amount of data. This is the case in many real-world scenarios…

社会与信息网络 · 计算机科学 2020-10-29 Nicolò Ruggeri , Caterina De Bacco

Image similarity has been extensively studied in computer vision. In recent years, machine-learned models have shown their ability to encode more semantics than traditional multivariate metrics. However, in labelling semantic similarity,…

计算机视觉与模式识别 · 计算机科学 2024-09-11 Zukang Liao , Min Chen

In this work we study the set size distribution estimation problem, where elements are randomly sampled from a collection of non-overlapping sets and we seek to recover the original set size distribution from the samples. This problem has…

统计理论 · 数学 2012-12-04 Fabricio Murai , Bruno Ribeiro , Don Towsley , Pinghui Wang

We consider the problem of subspace estimation in situations where the number of available snapshots and the observation dimension are comparable in magnitude. In this context, traditional subspace methods tend to fail because the…

信息论 · 计算机科学 2016-11-15 Pascal Vallet , Philippe Loubaton , Xavier Mestre

In many real-world binary classification tasks (e.g. detection of certain objects from images), an available dataset is imbalanced, i.e., it has much less representatives of a one class (a minor class), than of another. Generally, accurate…

机器学习 · 统计学 2017-07-14 Evgeny Burnaev , Pavel Erofeev , Artem Papanov

Uncertainty sampling is a prevalent active learning algorithm that queries sequentially the annotations of data samples which the current prediction model is uncertain about. However, the usage of uncertainty sampling has been largely…

机器学习 · 计算机科学 2026-04-08 Shang Liu , Xiaocheng Li

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,…

统计理论 · 数学 2023-02-09 Stephan Clémençon , Myrto Limnios , Nicolas Vayatis

Large-sample data became prevalent as data acquisition became cheaper and easier. While a large sample size has theoretical advantages for many statistical methods, it presents computational challenges. Sketching, or compression, is a…

机器学习 · 统计学 2020-05-11 Alexander F. Lapanowski , Irina Gaynanova

Statistical samples, in order to be representative, have to be drawn from a population in a random and unbiased way. Nevertheless, it is common practice in the field of model-based diagnosis to make estimations from (biased) best-first…

人工智能 · 计算机科学 2022-08-05 Patrick Rodler , Fatima Elichanova

In this article the issues are discussed with the Bayesian approach, least-square fits, and most-likely fits. Trying to counter these issues, a method, based on weighted confidence, is proposed for estimating probabilities and other…

统计理论 · 数学 2017-01-26 Fetze Pijlman

Compressed sensing allows perfect recovery of sparse signals (or signals sparse in some basis) using only a small number of random measurements. Existing results in compressed sensing literature have focused on characterizing the achievable…

信息论 · 计算机科学 2015-05-18 Dmitry Malioutov , Sujay Sanghavi , Alan Willsky