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This article presents a novel, general, and effective simulation-inspired approach, called {\it repro samples method}, to conduct statistical inference. The approach studies the performance of artificial samples, referred to as {\it repro…

Methodology · Statistics 2022-06-15 Min-ge Xie , Peng Wang

How to sample high quality negative instances from unlabeled data, i.e., negative sampling, is important for training implicit collaborative filtering and contrastive learning models. Although previous studies have proposed some approaches…

Information Retrieval · Computer Science 2022-07-12 Bin Liu , Bang Wang

Sampling without replacement is a natural online rounding strategy for converting fractional bipartite matching into an integral one. In Online Bipartite Matching, we can use the Balance algorithm to fractionally match each online vertex,…

Data Structures and Algorithms · Computer Science 2024-10-10 Zhiyi Huang , Chui Shan Lee , Jianqiao Lu , Xinkai Shu

"Particle methods" are sequential Monte Carlo algorithms, typically involving importance sampling, that are used to estimate and sample from joint and marginal densities from a collection of a, presumably increasing, number of random…

Computation · Statistics 2014-07-17 J. N. Corcoran , D. Jennings

A reliable deep learning system should be able to accurately express its confidence with respect to its predictions, a quality known as calibration. One of the most effective ways to produce reliable confidence estimates with a pre-trained…

Machine Learning · Computer Science 2024-10-10 Thomas P. Zollo , Zhun Deng , Jake C. Snell , Toniann Pitassi , Richard Zemel

Slice sampling is a well-established Markov chain Monte Carlo method for (approximate) sampling of target distributions which are only known up to a normalizing constant. The method is based on choosing a new state on a slice, i.e., a…

Computation · Statistics 2025-12-22 Kevin Bitterlich , Daniel Rudolf , Björn Sprungk

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

Response-biased sampling, in which samples are drawn from a popula- tion according to the values of the response variable, is common in biomedical, epidemiological, economic and social studies. In particular, the complete obser- vations in…

Methodology · Statistics 2016-10-31 Kani Chen , Yuanyuan Lin , Yuan Yao , Chaoxu Zhou

The Lov\'{a}sz Local Lemma is a very powerful tool in probabilistic combinatorics, that is often used to prove existence of combinatorial objects satisfying certain constraints. Moser and Tardos have shown that the LLL gives more than just…

Combinatorics · Mathematics 2019-09-13 Anton Bernshteyn

Starting with a set of weighted items, we want to create a generic sample of a certain size that we can later use to estimate the total weight of arbitrary subsets. For this purpose, we propose priority sampling which tested on Internet…

Data Structures and Algorithms · Computer Science 2007-05-23 Nick Duffield , Carsten Lund , Mikkel Thorup

In this paper, we propose a simple yet effective method to deal with the violation of the Closed-World Assumption for a classifier. Previous works tend to apply a threshold either on the classification scores or the loss function to reject…

Computer Vision and Pattern Recognition · Computer Science 2021-08-17 Saeed Bakhshi Germi , Esa Rahtu , Heikki Huttunen

Leverage score sampling provides an appealing way to perform approximate computations for large matrices. Indeed, it allows to derive faithful approximations with a complexity adapted to the problem at hand. Yet, performing leverage scores…

Machine Learning · Statistics 2019-01-25 Alessandro Rudi , Daniele Calandriello , Luigi Carratino , Lorenzo Rosasco

Statistical inverse learning aims at recovering an unknown function $f$ from randomly scattered and possibly noisy point evaluations of another function $g$, connected to $f$ via an ill-posed mathematical model. In this paper we blend…

Statistics Theory · Mathematics 2024-01-22 Tapio Helin

The raking-ratio method is a statistical and computational method which adjusts the empirical measure to match the true probability of sets of a finite partition. We study the asymptotic behavior of the raking-ratio empirical process…

Statistics Theory · Mathematics 2019-05-07 Mickael Albertus

This paper explores an energy-modified leverage sampling strategy for matrix completion in radio map construction. The main goal is to address potential identifiability issues in matrix completion with sparse observations by using a…

Signal Processing · Electrical Eng. & Systems 2024-04-15 Hao Sun , Junting Chen

An integral part of many algorithms for S-estimators of linear regression is random subsampling. For problems with only continuous predictors simple random subsampling is a reliable method to generate initial coefficient estimates that can…

Computation · Statistics 2012-08-29 Manuel Koller

Learning to reject provide a learning paradigm which allows for our models to abstain from making predictions. One way to learn the rejector is to learn an ideal marginal distribution (w.r.t. the input domain) - which characterizes a…

Machine Learning · Statistics 2025-05-09 Alexander Soen

Negative sampling is essential for implicit-feedback-based collaborative filtering, which is used to constitute negative signals from massive unlabeled data to guide supervised learning. The state-of-the-art idea is to utilize hard negative…

Information Retrieval · Computer Science 2023-08-14 Yuhan Zhao , Rui Chen , Riwei Lai , Qilong Han , Hongtao Song , Li Chen

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…

Social and Information Networks · Computer Science 2020-10-29 Nicolò Ruggeri , Caterina De Bacco

The article is devoted to the resampling approach application to the reliability problems. This approach to reliability problems was first proposed by Ivnitsky (1967). Resampling is intensive statistical computer method, which is…

Applications · Statistics 2013-04-25 Maxim Fioshin , Helen Fioshina