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Gaussian Boson Samplers aim to demonstrate quantum advantage by performing a sampling task believed to be classically hard. The probabilities of individual outcomes in the sampling experiment are determined by the Hafnian of an…

量子物理 · 物理学 2024-03-07 Alexey Uvarov , Dmitry Vinichenko

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

Leveraging the coherent exploration of Hamiltonian flow, Hamiltonian Monte Carlo produces computationally efficient Monte Carlo estimators, even with respect to complex and high-dimensional target distributions. When confronted with…

统计方法学 · 统计学 2015-02-06 M. J. Betancourt

We prove a tight upper bound on the variance of the priority sampling method (aka sequential Poisson sampling). Our proof is significantly shorter and simpler than the original proof given by Mario Szegedy at STOC 2006, which resolved a…

数据结构与算法 · 计算机科学 2024-08-21 Majid Daliri , Juliana Freire , Christopher Musco , Aécio Santos , Haoxiang Zhang

Thompson sampling is an efficient algorithm for sequential decision making, which exploits the posterior uncertainty to address the exploration-exploitation dilemma. There has been significant recent interest in integrating Bayesian neural…

机器学习 · 统计学 2020-08-07 Zhendong Wang , Mingyuan Zhou

Importance sampling is a widely used technique to reduce the variance of a Monte Carlo estimator by an appropriate change of measure. In this work, we study importance sam- pling in the framework of diffusion process and consider the change…

概率论 · 数学 2018-03-28 Carsten Hartmann , Christof Schütte , Marcus Weber , Wei Zhang

Statistical estimation and inference for marginal hazard models with varying coefficients for multivariate failure time data are important subjects in survival analysis. A local pseudo-partial likelihood procedure is proposed for estimating…

统计理论 · 数学 2009-09-29 Jianwen Cai , Jianqing Fan , Haibo Zhou , Yong Zhou

We describe a very simple method for `consistent sampling' that allows for sampling with replacement. The method extends previous approaches to consistent sampling, which assign a pseudorandom real number to each element, and sample those…

数据结构与算法 · 计算机科学 2018-08-31 Ronald L. Rivest

Selecting between competing statistical models is a challenging problem especially when the competing models are non-nested. In this paper we offer a simple solution by devising an algorithm which combines MCMC and importance sampling to…

Conformal predictive systems are a recent modification of conformal predictors that output, in regression problems, probability distributions for labels of test observations rather than set predictions. The extra information provided by…

机器学习 · 计算机科学 2019-11-05 Vladimir Vovk , Ivan Petej , Ilia Nouretdinov , Valery Manokhin , Alex Gammerman

In circular plot sampling, trees within a given distance from the sample plot location constitute a sample, which is used to infer characteristics of interest for the forest area. If the sample is collected using a technical device located…

应用统计 · 统计学 2020-06-09 Kasper Kansanen , Petteri Packalen , Matti Maltamo , Lauri Mehtätalo

This paper introduces a new version of the smoothly trimmed mean with a more general version of weights, which can be used as an alternative to the classical trimmed mean. We derive its asymptotic variance and to further investigate its…

统计理论 · 数学 2024-09-10 Elina Kresse , Emils Silins , Janis Valeinis

Capture-recapture methods for estimating the total size of elusive populations are widely-used, however, due to the choice of estimator impacting upon the results and conclusions made, the question of performance of each estimator is…

统计方法学 · 统计学 2023-12-15 Layna Charlie Dennett , Dankmar Böhning

We demonstrate how boson sampling with photons of partial distinguishability can be expressed in terms of interference of fewer photons. We use this observation to propose a classical algorithm to simulate the output of a boson sampler fed…

In solving simulation-based stochastic root-finding or optimization problems that involve rare events, such as in extreme quantile estimation, running crude Monte Carlo can be prohibitively inefficient. To address this issue, importance…

统计方法学 · 统计学 2021-02-23 Shengyi He , Guangxin Jiang , Henry Lam , Michael C. Fu

Model selection in non-linear models often prioritizes performance metrics over statistical tests, limiting the ability to account for sampling variability. We propose the use of a statistical test to assess the equality of variances in…

机器学习 · 统计学 2025-09-16 Argimiro Arratia , Alejandra Cabaña , Ernesto Mordecki , Gerard Rovira-Parra

Our article is concerned with adaptive sampling schemes for Bayesian inference that update the proposal densities using previous iterates. We introduce a copula based proposal density which is made more efficient by combining it with…

统计方法学 · 统计学 2010-02-26 Ralph Silva , Robert Kohn , Paolo Giordani , Xiuyan Mun

This note explores probabilistic sampling weighted by uncertainty in active learning. This method has been previously used and authors have tangentially remarked on its efficacy. The scheme has several benefits: (1) it is computationally…

机器学习 · 计算机科学 2019-09-12 Vinay Jethava

In many stochastic problems, the output of interest depends on an input random vector mainly through a single random variable (or index) via an appropriate univariate transformation of the input. We exploit this feature by proposing an…

统计计算 · 统计学 2021-11-16 Erik Hintz , Marius Hofert , Christiane Lemieux , Yoshihiro Taniguchi

We consider the problem of deciding on sampling strategy, in particular sampling design. We propose a risk measure, whose minimizing value guides the choice. The method makes use of a superpopulation model and takes into account uncertainty…

统计方法学 · 统计学 2020-07-06 Edgar Bueno , Dan Hedlin