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The Area Under the ROC Curve (AUC) is a widely used performance metric for binary classifiers. However, as a global ranking statistic, the AUC aggregates model behavior over the entire dataset, masking localized weaknesses in specific…

应用统计 · 统计学 2025-08-12 Agus Sudjianto , Alice J. Liu

A key challenge with machine learning approaches for ranking is the gap between the performance metrics of interest and the surrogate loss functions that can be optimized with gradient-based methods. This gap arises because ranking metrics…

机器学习 · 计算机科学 2021-11-30 Robin Swezey , Aditya Grover , Bruno Charron , Stefano Ermon

Many biomedical experiments are carried out by pooling individual biological samples. However, pooling samples can potentially hide biological variance and give false confidence concerning the data significance. In the context of microarray…

定量方法 · 定量生物学 2008-06-02 Shu-Dong Zhang , Timothy W. Gant

Machine learning applications, especially in the fields of me\-di\-cine and social sciences, are slowly being subjected to increasing scrutiny. Similarly to sample size planning performed in clinical and social studies, lawmakers and…

统计方法学 · 统计学 2023-01-16 Antoni Klorek , Karol Roszak , Izabela Szczech , Dariusz Brzezinski

This paper investigates the theoretical foundation and develops analytical formulas for sample size and power calculations for causal inference with observational data. By analyzing the variance of an inverse probability weighting estimator…

统计方法学 · 统计学 2026-05-19 Bo Liu , Chengxin Yang , Fan Li

Sample size calculation is an essential step in most data-based disciplines. Large enough samples ensure representativeness of the population and determine the precision of estimates. This is true for most quantitative studies, including…

Importance sampling is a Monte Carlo method which designs estimators of expectations under a target distribution using weighted samples from a proposal distribution. When the target distribution is complex, such as multimodal distributions…

统计方法学 · 统计学 2026-02-04 Anas Cherradi , Yazid Janati , Alain Durmus , Sylvain Le Corff , Yohan Petetin , Julien Stoehr

Time-to-event endpoints show an increasing popularity in phase II cancer trials. The standard statistical tool for such one-armed survival trials is the one-sample log-rank test. Its distributional properties are commonly derived in the…

统计方法学 · 统计学 2026-03-02 Moritz Fabian Danzer , Andreas Faldum , Rene Schmidt

The academic evaluation of the publication record of researchers is relevant for identifying talented candidates for promotion and funding. A key tool for this is the use of the indexes provided by Web of Science and SCOPUS, costly…

计量经济学 · 经济学 2022-09-08 Fernando Delbianco , Andres Fioriti , Fernando Tohmé

Uncertainty analysis in the outcomes of model predictions is a key element in decision-based material design to establish confidence in the models and evaluate the fidelity of models. Uncertainty Propagation (UP) is a technique to determine…

机器学习 · 计算机科学 2023-02-13 Danial Khatamsaz , Vahid Attari , Raymundo Arroyave , Douglas L. Allaire

The problem of model selection is inevitable in an increasingly large number of applications involving partial theoretical knowledge and vast amounts of information, like in medicine, biology or economics. The associated techniques are…

统计方法学 · 统计学 2015-11-17 Stephane Guerrier , Maria-Pia Victoria-Feser

It is a long-standing objective to ease the computation burden incurred by the decision making process. Identification of this mechanism's sensitivity to simplification has tremendous ramifications. Yet, algorithms for decision making under…

人工智能 · 计算机科学 2021-05-13 Andrey Zhitnikov , Vadim Indelman

The area under the ROC curve (AUC) is a widely used performance measure in machine learning. Increasingly, however, in several applications, ranging from ranking to biometric screening to medicine, performance is measured not in terms of…

机器学习 · 计算机科学 2016-11-29 Harikrishna Narasimhan , Shivani Agarwal

Mathematical models are essential for understanding and making predictions about systems arising in nature and engineering. Yet, mathematical models are a simplification of true phenomena, thus making predictions subject to uncertainty.…

数值分析 · 数学 2023-03-03 Mark Hobbs , Hussein Rappel , Tim Dodwell

The reproducibility crisis has led to an increasing number of replication studies being conducted. Sample sizes for replication studies are often calculated using conditional power based on the effect estimate from the original study.…

统计方法学 · 统计学 2022-10-19 Charlotte Micheloud , Leonhard Held

We develop a method for hybrid analyses that uses external controls to augment internal control arms in randomized controlled trials (RCT) where the degree of borrowing is determined based on similarity between RCT and external control…

统计方法学 · 统计学 2023-05-11 Evan Kwiatkowski , Jiawen Zhu , Xiao Li , Herbert Pang , Grazyna Lieberman , Matthew A. Psioda

Accurate sample classification using transcriptomics data is crucial for advancing personalized medicine. Achieving this goal necessitates determining a suitable sample size that ensures adequate statistical power without undue resource…

统计方法学 · 统计学 2024-09-11 Yunhui Qi , Xinyi Wang , Li-Xuan Qin

When evaluating the effectiveness of a treatment, policy, or intervention, the desired measure of effectiveness may be expensive to collect, not routinely available, or may take a long time to occur. In these cases, it is sometimes possible…

统计方法学 · 统计学 2022-11-10 Denis Agniel , Layla Parast , Boris Hejblum

Randomized controlled trials (RCTs) often include subgroup analyses to assess whether treatment effects vary across pre-specified patient populations. However, these analyses frequently suffer from small sample sizes which limit the power…

We consider the problem of estimating the support size of a distribution $D$. Our investigations are pursued through the lens of distribution testing and seek to understand the power of conditional sampling (denoted as COND), wherein one is…

数据结构与算法 · 计算机科学 2022-11-23 Diptarka Chakraborty , Gunjan Kumar , Kuldeep S. Meel