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This article describes two Monte Carlo methods for calculating confidence intervals on cumulative density function (CDF) based multivariate normal quantiles that allows for controlling the tail regions of a multivariate distribution where…

统计方法学 · 统计学 2024-04-11 Adam Watts , Thomas Thompson , Dustin Harvey

In complex scale-free networks, ranking the individual nodes based upon their importance has useful applications, such as the identification of hubs for epidemic control, or bottlenecks for controlling traffic congestion. However, in most…

物理与社会 · 物理学 2007-05-23 Pan-Jun Kim , Hawoong Jeong

Markov chain Monte Carlo (MCMC) is an established approach for uncertainty quantification and propagation in scientific applications. A key challenge in applying MCMC to scientific domains is computation: the target density of interest is…

机器学习 · 统计学 2022-10-05 Diana Cai , Ryan P. Adams

Utilizing established risk factors and prognostic models can often improve the construction of a newer risk model that uses novel biomarkers in a smaller, internal study. However, directly borrowing information from an established…

统计方法学 · 统计学 2026-03-12 Nicholas C. Henderson

Importance sampling is a common technique for Monte Carlo approximation, including Monte Carlo approximation of p-values. Here it is shown that a simple correction of the usual importance sampling p-values creates valid p-values, meaning…

统计计算 · 统计学 2011-04-12 Matthew T. Harrison

Robust inference for stochastic dynamical systems is often hampered by sparse sampling and the absence of closed-form likelihoods. We introduce a Monte Carlo path-inference framework that leverages full-path statistics and bridge processes…

统计力学 · 物理学 2025-10-07 Javier Aguilar , Miguel A. Muñoz , Sandro Azaele

Adaptive Monte Carlo methods are very efficient techniques designed to tune simulation estimators on-line. In this work, we present an alternative to stochastic approximation to tune the optimal change of measure in the context of…

概率论 · 数学 2009-10-23 Benjamin Jourdain , Jérôme Lelong

There are very different statistical methods for demonstrating a trend in pharmacological experiments. Here, the focus is on sparse models with only one parameter to be estimated and interpreted: the increase in the regression model and the…

应用统计 · 统计学 2020-07-21 Ludwig A. Hothorn

Determining the precise rank is an important problem in many large-scale applications with matrix data exploiting low-rank plus noise models. In this paper, we suggest a universal approach to rank inference via residual subsampling (RIRS)…

统计理论 · 数学 2024-11-12 Xiao Han , Qing Yang , Yingying Fan

In-context learning with large language models (LLMs) excels at adapting to various tasks rapidly. However, its success hinges on carefully selecting demonstrations, which remains an obstacle in practice. Current approaches to this problem…

计算与语言 · 计算机科学 2024-01-15 Shangqing Xu , Chao Zhang

A group of approaches for calculating forensic likelihood ratios first calculates scores which quantify the degree of difference or the degree of similarity between pairs of samples, then converts those scores to likelihood ratios. In order…

应用统计 · 统计学 2016-12-28 Geoffrey Stewart Morrison

Existing large language models (LLMs) evaluation methods typically focus on testing the performance on some closed-environment and domain-specific benchmarks with human annotations. In this paper, we explore a novel unsupervised evaluation…

计算与语言 · 计算机科学 2025-02-24 Kun-Peng Ning , Shuo Yang , Yu-Yang Liu , Jia-Yu Yao , Zhen-Hui Liu , Yong-Hong Tian , Yibing Song , Li Yuan

The paper proposes a new Monte-Carlo simulator combining the advantages of Sequential Monte Carlo simulators and Hamiltonian Monte Carlo simulators. The result is a method that is robust to multimodality and complex shapes to use for…

统计计算 · 统计学 2018-12-20 Remi Daviet

Reliable evaluation of large language models (LLMs) is impeded by two key challenges: objective metrics often fail to reflect human perception of natural language, and exhaustive human labeling is prohibitively expensive. Here, we propose a…

Determining which organizations are more effective in implementing an intervention program is essential for theoretically and empirically characterizing exemplary practice and for intervening to enhance the capacity of ineffective ones. Yet…

应用统计 · 统计学 2026-03-18 Guanglei Hong , Jonah Deutsch , Peter Kress , Jose Eos Trinidad , Zhengyan Xu

Monte Carlo simulations are based on the manipulation of random numbers to evaluate probable outcomes, with applicability in a variety of different fields. By assigning probabilities, which can be determined a priori, to various events, it…

物理教育 · 物理学 2022-01-03 Parasuraman Swaminathan

Computer system simulation studies routinely rely on executing a limited number of short application regions, since full end-to-end simulation is prohibitively time-consuming. To preserve representativeness, existing methods employ either…

硬件体系结构 · 计算机科学 2026-03-25 Magnus Ekman

The statistical comparison of multiple algorithms over multiple data sets is fundamental in machine learning. This is typically carried out by the Friedman test. When the Friedman test rejects the null hypothesis, multiple comparisons are…

机器学习 · 计算机科学 2015-05-12 Alessio Benavoli , Giorgio Corani , Francesca Mangili

Markov Chain Monte Carlo (MCMC) methods for sampling probability density functions (combined with abundant computational resources) have transformed the sciences, especially in performing probabilistic inferences, or fitting models to data.…

天体物理仪器与方法 · 物理学 2018-05-23 David W. Hogg , Daniel Foreman-Mackey

Confidence estimation, a task that aims to evaluate the trustworthiness of the model's prediction output during deployment, has received lots of research attention recently, due to its importance for the safe deployment of deep models.…

计算机视觉与模式识别 · 计算机科学 2022-10-14 Haoxuan Qu , Yanchao Li , Lin Geng Foo , Jason Kuen , Jiuxiang Gu , Jun Liu