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This note revisits Steel's multiple comparison test which uses Wilcoxon statistics in pairwise comparisons of several treatment samples with a common control sample. It derives means, variances and covariances of the Wilcoxon statistics…

Statistics Theory · Mathematics 2023-08-14 F. W. Scholz

We study global inference for regression coefficients in high-dimensional linear models under potentially heavy-tailed errors. While sum-type tests are powerful for dense alternatives and max-type tests excel for sparse alternatives,…

Methodology · Statistics 2026-03-17 Ping Zhao , Liangliang Yuan

While data selection methods have been studied extensively in active learning, data pruning, and data augmentation settings, there is little evidence for the efficacy of these methods in industry scale settings, particularly in low-resource…

Machine Learning · Computer Science 2023-11-29 Anusha Sabbineni , Nikhil Anand , Maria Minakova

A new method based on the rejection sampling for finding statistical tests is proposed. This method is conceptually intuitive, easy to implement, and applicable for arbitrary dimension. To illustrate its potential applicability, three…

Methodology · Statistics 2026-03-11 Markku Kuismin

The large size and complex decision mechanisms of state-of-the-art text classifiers make it difficult for humans to understand their predictions, leading to a potential lack of trust by the users. These issues have led to the adoption of…

A popular approach to significance testing proposes to decide whether the given hypothesized statistical model is likely to be true (or false). Statistical decision theory provides a basis for this approach by requiring every significance…

Methodology · Statistics 2013-01-08 William Perkins , Mark Tygert , Rachel Ward

Test-time scaling improves the reasoning performance of large language models but often results in token-inefficient overthinking, where models continue reasoning beyond what is necessary for a correct answer. Existing dynamic early-exit…

Artificial Intelligence · Computer Science 2026-04-21 Jiakun Li , Xingwei He , Kefan Li , Hongzheng Chai , Hongyue Yu , Yuan Yuan

Confidence in LLMs is a useful indicator of model uncertainty and answer reliability. Existing work mainly focused on single-turn scenarios, while research on confidence in complex multi-turn interactions is limited. In this paper, we…

Computation and Language · Computer Science 2025-10-29 Litu Ou , Kuan Li , Huifeng Yin , Liwen Zhang , Zhongwang Zhang , Xixi Wu , Rui Ye , Zile Qiao , Pengjun Xie , Jingren Zhou , Yong Jiang

A multivariate one-sample location test based on the center-outward ranks and signs is considered, and two different testing procedures are proposed for centrally symmetric distributions. The first test is based on a random division of the…

Statistics Theory · Mathematics 2025-05-22 Daniel Hlubinka , Šárka Hudecová

This paper calls attention to the missing component of the recommender system evaluation process: Statistical Inference. There is active research in several components of the recommender system evaluation process: selecting baselines,…

Information Retrieval · Computer Science 2021-09-15 Ngozi Ihemelandu , Michael D. Ekstrand

Large language models perform well on static medical examinations, yet clinical diagnosis often requires iterative evidence gathering under uncertainty. Building on prior interactive evaluation efforts, we introduce an OSCE-inspired…

Artificial Intelligence · Computer Science 2026-05-22 Chen Zhan , Xihe Qiu , Xiaoyu Tan , Xibing Zhuang , Gengchen Ma , Yue Zhang , Shuo Li , Peifeng Liu , Xiaoxiao Ge , Liang Liu , Lu Gan

Large Language Models have recently been applied to text annotation tasks from social sciences, equalling or surpassing the performance of human workers at a fraction of the cost. However, no inquiry has yet been made on the impact of…

Computation and Language · Computer Science 2025-03-11 Louis Abraham , Charles Arnal , Antoine Marie

Labelling data is a major practical bottleneck in training and testing classifiers. Given a collection of unlabelled data points, we address how to select which subset to label to best estimate test metrics such as accuracy, $F_1$ score or…

Machine Learning · Computer Science 2021-09-27 Emine Yilmaz , Peter Hayes , Raza Habib , Jordan Burgess , David Barber

System modeling is a classical approach to ensure their reliability since it is suitable both for a formal verification and for software testing techniques. In the context of model-based testing an approach combining random testing and…

Software Engineering · Computer Science 2018-06-14 Julien Bernard , Pierre-Cyrille Héam , Olga Kouchnarenko

Tests based on sample mean vectors and sample spatial signs have been studied in the recent literature for high dimensional data with the dimension larger than the sample size. For suitable sequences of alternatives, we show that the powers…

Statistics Theory · Mathematics 2015-05-22 Anirvan Chakraborty , Probal Chaudhuri

In recent years, large language models have demonstrated remarkable performance across diverse tasks. However, their task effectiveness is heavily dependent on the prompting strategy used to elicit output, which can vary widely in both…

Computation and Language · Computer Science 2025-05-22 Chris Sypherd , Sergei Petrov , Sonny George , Vaishak Belle

We propose randomization tests of whether forecast 1 outperforms forecast 2 across a class of scoring functions. This hypothesis is of applied interest: While the prediction context often prescribes a certain class of scoring functions, it…

Statistics Theory · Mathematics 2018-10-23 Werner Ehm , Fabian Krüger

In this paper we review the academic transportation literature published between 2014 and 2018 to evaluate where the field stands regarding the use and misuse of statistical significance in empirical analysis, with a focus on discrete…

Applications · Statistics 2023-09-29 Giancarlos Parady , Kay W. Axhausen

Recently, scaling test-time compute on Large Language Models (LLM) has garnered wide attention. However, there has been limited investigation of how various reasoning prompting strategies perform as scaling. In this paper, we focus on a…

Artificial Intelligence · Computer Science 2025-08-18 Yexiang Liu , Zekun Li , Zhi Fang , Nan Xu , Ran He , Tieniu Tan

Learning of matrix-valued data has recently surged in a range of scientific and business applications. Trace regression is a widely used method to model effects of matrix predictors and has shown great success in matrix learning. However,…

Machine Learning · Statistics 2021-05-06 Chanwoo Lee , Lexin Li , Hao Helen Zhang , Miaoyan Wang