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This paper considers the problem of Quantitative Group Testing (QGT) where there are some defective items among a large population of $N$ items. We consider the scenario in which each item is defective with probability $K/N$, independently…

This study establishes the consistency of Bayesian adaptive testing methods under the Rasch model, addressing a gap in the literature on their large-sample guarantees. Although Bayesian approaches are recognized for their finite-sample…

统计方法学 · 统计学 2024-12-11 Hau-Hung Yang , Chia-Min Wei , Yu-Chang Chen

Optimal experiment design for parameter estimation is a research topic that has been in the interest of various studies. A key problem in optimal input design is that the optimal input depends on some unknown system parameters that are to…

系统与控制 · 计算机科学 2019-04-17 Lirong Huang , Håkan Hjalmarsson , László Gerencsér

Sequential Multiple-Assignment Randomized Trials (SMARTs) play an increasingly important role in psychological and behavioral health research. This experimental approach enables researchers to answer scientific questions about how to…

统计方法学 · 统计学 2023-06-21 John J. Dziak , Daniel Almirall , Walter Dempsey , Catherine Stanger , Inbal Nahum-Shani

In contemporary scientific research, it is of great interest to predict a categorical response based on a high-dimensional tensor (i.e. multi-dimensional array) and additional covariates. This mixture of different types of data leads to…

统计方法学 · 统计学 2018-05-14 Yuqing Pan , Qing Mai , Xin Zhang

The design of multiple experiments is commonly undertaken via suboptimal strategies, such as batch (open-loop) design that omits feedback or greedy (myopic) design that does not account for future effects. This paper introduces new…

统计方法学 · 统计学 2016-04-29 Xun Huan , Youssef M. Marzouk

We consider the sequential experimental design problem in the predict-then-optimize paradigm. In this paradigm, the outputs of the prediction model are used as coefficient vectors in a downstream linear optimization problem. Traditional…

机器学习 · 统计学 2026-02-06 Beichen Wan , Mo Liu , Paul Grigas , Zuo-Jun Max Shen

We consider the optimal experimental design problem of allocating subjects to treatment or control when subjects participate in multiple, separate controlled experiments within a short time-frame and subject covariate information is…

统计方法学 · 统计学 2024-12-16 William Fisher , Qiong Zhang , Lulu Kang , Xinwei Deng

Group sequential designs in clinical trials allow for interim efficacy and futility monitoring. Adjustment for baseline covariates can increase power and precision of estimated effects. However, inconsistently applying covariate adjustment…

统计方法学 · 统计学 2023-08-11 Marlena S. Bannick , Sonya L. Heltshe , Noah Simon

Adaptive designs dynamically update treatment probabilities using information accumulated during the experiment. Existing theory for causal inference from adaptive experiments primarily assumes the superpopulation framework with independent…

统计方法学 · 统计学 2026-02-26 Xinran Li , Anqi Zhao

We propose and analyze sequential design methods for the problem of ranking several response surfaces. Namely, given $L \ge 2$ response surfaces over a continuous input space $\cal X$, the aim is to efficiently find the index of the minimal…

机器学习 · 统计学 2017-10-17 Ruimeng Hu , Mike Ludkovski

Test-time adaptation (TTA) seeks to tackle potential distribution shifts between training and testing data by adapting a given model w.r.t. any testing sample. This task is particularly important for deep models when the test environment…

机器学习 · 计算机科学 2022-06-01 Shuaicheng Niu , Jiaxiang Wu , Yifan Zhang , Yaofo Chen , Shijian Zheng , Peilin Zhao , Mingkui Tan

The ability to make decisions based on data, with its inherent uncertainties and variability, is a complex and vital skill in the modern world. The need for such quantitative critical thinking occurs in many different contexts, and while it…

物理教育 · 物理学 2015-08-21 N. G. Holmes , Carl E. Wieman , D. A. Bonn

This paper presents a novel attention-based algorithm for achieving adaptive computation called DACT, which, unlike existing ones, is end-to-end differentiable. Our method can be used in conjunction with many networks; in particular, we…

人工智能 · 计算机科学 2020-05-25 Cristobal Eyzaguirre , Alvaro Soto

Artificial intelligence (AI) has significantly improved medical screening accuracy, particularly in cancer detection and risk assessment. However, traditional classification metrics often fail to account for imbalanced data, varying…

机器学习 · 计算机科学 2025-10-28 Longfei Wei , Fang Sheng , Jianfei Zhang

Motivated by real-world machine learning applications, we consider a statistical classification task in a sequential setting where test samples arrive sequentially. In addition, the generating distributions are unknown and only a set of…

机器学习 · 统计学 2021-02-11 Mahdi Haghifam , Vincent Y. F. Tan , Ashish Khisti

High-dimensional tests are applied to find relevant sets of variables and relevant models. If variables are selected by analyzing the sums of products matrices and a corresponding mean-value test is performed, there is the danger that the…

统计方法学 · 统计学 2012-02-10 Juergen Laeuter , Maciej Rosolowski , Ekkehard Glimm

In the classical non-adaptive group testing setup, pools of items are tested together, and the main goal of a recovery algorithm is to identify the "complete defective set" given the outcomes of different group tests. In contrast, the main…

信息论 · 计算机科学 2016-03-01 Abhay Sharma , Chandra R. Murthy

There is growing interest in using machine learning (ML) to support clinical diagnosis, but most approaches rely on static, fully observed datasets and fail to reflect the sequential, resource-aware reasoning clinicians use in practice.…

人工智能 · 计算机科学 2025-11-18 Silas Ruhrberg Estévez , Nicolás Astorga , Mihaela van der Schaar

Multistage design has been used in a wide range of scientific fields. By allocating sensing resources adaptively, one can effectively eliminate null locations and localize signals with a smaller study budget. We formulate a…

统计方法学 · 统计学 2024-06-17 Weinan Wang , Bowen Gang , Wenguang Sun
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