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Ordered testing procedures are multiple testing procedures that exploit a pre-specified ordering of the null hypotheses, from most to least promising. We analyze and compare the power of several recent proposals using the asymptotic…

Methodology · Statistics 2016-06-08 Lihua Lei , William Fithian

We consider clinical trials with multiple, overlapping patient populations, that test multiple treatment policies specifically tailored to these populations. Such designs may lead to multiplicity issues, as false statements will affect…

Methodology · Statistics 2025-11-13 Remi Luschei , Werner Brannath

Constrained random test generation is one of the most widely adopted methods for generating stimuli for simulation-based verification. Randomness leads to test diversity, but tests tend to repeatedly exercise the same design logic.…

Hardware Architecture · Computer Science 2022-10-18 Nyasha Masamba , Kerstin Eder , Tim Blackmore

Many statistical problems can be addressed by applying a multiple testing procedure (MTP) that controls either the Family-wise Error Rate (FWER) or False Discovery Rate (FDR) under unknown arbitrarily-interdependent $p$-values, without…

Methodology · Statistics 2026-05-21 George Karabatsos

In many scientific applications, hypotheses are generated and tested continuously in a stream. We develop a framework for improving online multiple testing procedures with false discovery rate (FDR) control under arbitrary dependence. Our…

Methodology · Statistics 2026-03-27 Ziyu Xu , Lasse Fischer , Aaditya Ramdas

To find interesting items in genome-wide association studies or next generation sequencing data, a crucial point is to design powerful false discovery rate (FDR) controlling procedures that suitably combine discrete tests (typically…

Statistics Theory · Mathematics 2017-09-18 Sebastian Döhler , Guillermo Durand , Etienne Roquain

This paper introduces the Fusemate probabilistic logic programming system. Fusemate's inference engine comprises a grounding component and a variable elimination method for probabilistic inference. Fusemate differs from most other systems…

Logic in Computer Science · Computer Science 2023-08-31 Peter Baumgartner , Elena Tartaglia

In this paper, we present novel methodologies that incorporate auxiliary variables for multiple hypotheses testing related to the main point of interest while effectively controlling the false discovery rate. When dealing with multiple…

Methodology · Statistics 2026-02-23 Seohwa Hwang , Mark Louie Ramos , DoHwan Park , Junyong Park , Johan Lim , Erin Green

In high dimensional variable selection problems, statisticians often seek to design multiple testing procedures that control the False Discovery Rate (FDR), while concurrently identifying a greater number of relevant variables. Model-X…

Statistics Theory · Mathematics 2023-07-25 Taejoo Ahn , Licong Lin , Song Mei

Systems tend to become more and more complex. This has a direct impact on system engineering processes. Two of the most important phases in these processes are requirements engineering and quality assurance. Two significant complexity…

Software Engineering · Computer Science 2013-03-06 Stephan Weißleder , Hartmut Lackner

In this paper we consider online multiple testing with familywise error rate (FWER) control, where the probability of committing at least one type I error shall remain under control while testing a possibly infinite sequence of hypotheses…

Methodology · Statistics 2024-05-27 Lasse Fischer , Marta Bofill Roig , Werner Brannath

We describe a general framework for weighted parametric multiple test procedures based on the closure principle. We utilize general weighting strategies that can reflect complex study objectives and include many procedures in the literature…

Methodology · Statistics 2019-08-14 Dong Xi , Ekkehard Glimm , Willi Maurer , Frank Bretz

A test based on tapering is proposed for use in testing a global linear hypothesis under a functional linear model. The test statistic is constructed as a weighted sum of squared linear combinations of Fourier coefficients, a tapered…

Statistics Theory · Mathematics 2008-10-09 Dan J. Spitzner

The Model-X knockoff procedure has recently emerged as a powerful approach for feature selection with statistical guarantees. The advantage of knockoff is that if we have a good model of the features X, then we can identify salient features…

Machine Learning · Statistics 2019-05-30 Jaime Roquero Gimenez , James Zou

This paper proposes a robust control design method using reinforcement-learning for controlling partially-unknown dynamical systems under uncertain conditions. The method extends the optimal reinforcement-learning algorithm with a new…

Systems and Control · Electrical Eng. & Systems 2020-04-17 Phuong D. Ngo , Fred Godtliebsen

We introduce new inference procedures for counterfactual and synthetic control methods for policy evaluation. We recast the causal inference problem as a counterfactual prediction and a structural breaks testing problem. This allows us to…

Econometrics · Economics 2022-01-26 Victor Chernozhukov , Kaspar Wüthrich , Yinchu Zhu

Unit testing verifies the presence of faults in individual software components. Previous research has been targeting the automatic generation of unit tests through the adoption of random or search-based algorithms. Despite their…

Software Engineering · Computer Science 2022-04-13 Fabiano Pecorelli , Giovanni Grano , Fabio Palomba , Harald C. Gall , Andrea De Lucia

High-dimensional feature selection is routinely required to balance statistical power with strict control of multiple-error metrics such as the k-Family-Wise Error Rate (k-FWER) and the False Discovery Proportion (FDP), yet some existing…

Methodology · Statistics 2026-03-03 Xuelin Zhang , Jingxuan Liang , Xinyue Liu , Hong Chen , Biqin Song

A large number of heuristics have been proposed to optimize the reinforcement fine-tuning of LLMs. However, inconsistent claims are made from time to time, making this area elusive. Reflecting on this situation, two fundamental questions…

Machine Learning · Computer Science 2026-01-22 Xiao Hu , Hong Xie , Tao Tan , Defu Lian , Jianyu Han

Information theory has been very successful in obtaining performance limits for various problems such as communication, compression and hypothesis testing. Likewise, stochastic control theory provides a characterization of optimal policies…

Information Theory · Computer Science 2018-10-15 Dhruva Kartik , Ekraam Sabir , Urbashi Mitra , Prem Natarajan