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In stochastic optimal control (SOC), uncertainty may arise from incomplete knowledge of the true probability distribution of the underlying environment, which is known as Knightian or epistemic uncertainty. Distributionally robust optimal…

最优化与控制 · 数学 2026-04-10 Wentao Ma , Zhiping Chen , Huifu Xu , Enlu Zhou

The Monte Carlo differential operator sampling method is applied to the computation of sensitivity coefficients of unresolved resonance probability table cross sections. Three new analytical benchmarks for verifying unresolved resonance…

计算物理 · 物理学 2024-12-03 Brian C. Kiedrowski

The Bayesian Cram\'er-Rao bound (CRB) provides a lower bound on the mean square error of any Bayesian estimator under mild regularity conditions. It can be used to benchmark the performance of statistical estimators, and provides a…

机器学习 · 统计学 2024-09-09 Evan Scope Crafts , Xianyang Zhang , Bo Zhao

Classification is a common statistical task in many areas. In order to ameliorate the performance of the existing methods, there are always some new classification procedures proposed. These procedures, especially those raised in the…

统计方法学 · 统计学 2026-05-05 Yuan-chin Ivan Chang

Approximate Bayesian computation (ABC) is a widely used inference method in Bayesian statistics to bypass the point-wise computation of the likelihood. In this paper we develop theoretical bounds for the distance between the statistics used…

统计理论 · 数学 2019-01-03 James Ridgway

A semi-supervised model of peer review is introduced that is intended to overcome the bias and incompleteness of traditional peer review. Traditional approaches are reliant on human biases, while consensus decision-making is constrained by…

数字图书馆 · 计算机科学 2013-11-12 Bradly Alicea

Objectives: Estimation of areas under receiver operating characteristic curves (AUCs) and their differences is a key task in diagnostic studies. We aimed to derive, evaluate, and implement simple sample size formulas for such studies with a…

统计方法学 · 统计学 2022-08-03 Di Shu , Guangyong Zou

This paper proposes new nonparametric diagnostic tools to assess the asymptotic validity of different treatment effects estimators that rely on the correct specification of the propensity score. We derive a particular restriction relating…

统计方法学 · 统计学 2019-02-11 Pedro H. C. Sant'Anna , Xiaojun Song

The ROC curve is the gold standard for measuring the performance of a test/scoring statistic regarding its capacity to discriminate between two statistical populations in a wide variety of applications, ranging from anomaly detection in…

统计理论 · 数学 2023-01-25 Stéphan Clémençon , Myrto Limnios , Nicolas Vayatis

This paper provides a non-robust interpretation of the distributionally robust optimization (DRO) problem by relating the distributional uncertainties to the chance probabilities. Our analysis allows a decision-maker to interpret the size…

最优化与控制 · 数学 2020-09-22 Qi Wu , Shumin Ma , Cheuk Hang Leung , Wei Liu , Nanbo Peng

The receiver operating characteristic (ROC) curve and its summary measure, the Area Under the Curve (AUC), are well-established tools for evaluating the efficacy of biomarkers in biomedical studies. Compared to the traditional ROC curve,…

统计方法学 · 统计学 2025-10-20 Ziad Akram Ali Hammouri , Yating Zou , Rahul Ghosal , Juan C. Vidal , Marcos Matabuena

Sample-average approximations (SAA) are a practical means of finding approximate solutions of stochastic programming problems involving an extremely large (or infinite) number of scenarios. SAA can also be used to find estimates of a lower…

其他统计学 · 统计学 2014-05-08 Jiajie Chen , Cong Han Lim , Peter Z. G. Qian , Jeff Linderoth , Stephen J. Wright

Decisions about health interventions are often made using limited evidence. Mathematical models used to inform such decisions often include uncertainty analysis to account for the effect of uncertainty in the current evidence base on…

应用统计 · 统计学 2021-11-30 Rowan Iskandar

Unmeasured confounding bias threatens the validity of observational studies. While sensitivity analyses and study designs have been proposed to address this issue, they often overlook the growing availability of auxiliary data. Using…

统计方法学 · 统计学 2024-10-22 Jie Kate Hu , Dafne Zorzetto , Francesca Dominici

Minimum Bayes-risk (MBR) decoding has recently gained renewed attention in text generation. MBR decoding considers texts sampled from a model as pseudo-references and selects the text with the highest similarity to the others. Therefore,…

计算与语言 · 计算机科学 2024-04-02 Atsumoto Ohashi , Ukyo Honda , Tetsuro Morimura , Yuu Jinnai

Abstract Publication bias has been a problem facing meta-analysts. Methods adjusting for publication bias have been proposed in the literature. Comparative studies for methods adjusting for publication bias are found in the literature, but…

应用统计 · 统计学 2024-10-10 Osama Almalik

In this paper, the error performance achieved by cooperative detection among K distributed receivers in a diffusion-based molecular communication (MC) system is analyzed and optimized. In this system, the receivers first make local hard…

信息论 · 计算机科学 2024-10-30 Yuting Fang , Adam Noel , Nan Yang , Andrew W. Eckford , Rodney A. Kennedy

This paper addresses the robust adaptive beamforming (RAB) problem via the worst-case signal-to-interference-plus-noise ratio (SINR) maximization over distributional uncertainty sets for the random interference-plus-noise covariance (INC)…

信号处理 · 电气工程与系统科学 2025-05-22 Kiarash Hassas Irani , Yongwei Huang , Sergiy A. Vorobyov

In this paper, we develop a semiparametric sensitivity analysis approach designed to address unmeasured confounding in observational studies with time-to-event outcomes. We target estimation of the marginal distributions of potential…

统计方法学 · 统计学 2025-11-21 Linda Amoafo , Shiyao Xu , Elizabeth Platz , Daniel Scharfstein

Certifying the Region of Attraction (ROA) for high-dimensional nonlinear dynamical systems remains a severe computational bottleneck. Traditional deterministic verification methods, such as Sum-of-Squares (SOS) programming and…

系统与控制 · 电气工程与系统科学 2026-04-01 Pietro Zanotta , Panos Stinis , Ján Drgoňa