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Understanding effect modification -- how treatment effects vary across subpopulations -- is practically important in observational studies, as it helps identify which subgroups are likely to benefit from a given treatment. In this paper, we…

Methodology · Statistics 2026-05-12 Yu Gui , Dylan S Small , Zhimei Ren

In many practical applications of multiple hypothesis testing using the False Discovery Rate (FDR), the given hypotheses can be naturally partitioned into groups, and one may not only want to control the number of false discoveries (wrongly…

Methodology · Statistics 2016-11-01 Rina Foygel Barber , Aaditya Ramdas

Controlling false discovery rate (FDR) is crucial for variable selection, multiple testing, among other signal detection problems. In literature, there is certainly no shortage of FDR control strategies when selecting individual features,…

Methodology · Statistics 2022-04-11 Jingyuan Liu , Ao Sun , Yuan Ke

We extend conformal prediction to control the expected value of any monotone loss function. The algorithm generalizes split conformal prediction together with its coverage guarantee. Like conformal prediction, the conformal risk control…

Methodology · Statistics 2025-06-17 Anastasios N. Angelopoulos , Stephen Bates , Adam Fisch , Lihua Lei , Tal Schuster

Property Directed Reachability (PDR) is a powerful algorithm for formal verification of hardware and software systems, but its performance is highly sensitive to parameter configurations. Manual parameter tuning is time-consuming and…

Hardware Architecture · Computer Science 2026-04-01 Guangyu Hu , Chen Chen , Xiaofeng Zhou , Jiaxi Zhang , Wei Zhang , Hongce Zhang

The degree-restricted random process is a natural algorithmic model for generating graphs with degree sequence D_n=(d_1, \ldots, d_n): starting with an empty n-vertex graph, it sequentially adds new random edges so that the degree of each…

Combinatorics · Mathematics 2025-08-13 Michael Molloy , Erlang Surya , Lutz Warnke

The false discovery rate (FDR) and the false non-discovery rate (FNR), defined as the expected false discovery proportion (FDP) and the false non-discovery proportion (FNP), are the most popular benchmarks for multiple testing. Despite the…

Statistics Theory · Mathematics 2025-09-03 Yutong Nie , Yihong Wu

Penalized regression methods are an attractive tool for high-dimensional data analysis, but their widespread adoption has been hampered by the difficulty of applying inferential tools. In particular, the question "How reliable is the…

Statistics Theory · Mathematics 2026-05-13 Patrick Breheny

Effectively controlling the false discovery rate (FDR) in high-dimensional variable selection is a fundamental statistical problem that has garnered significant research interest. In this paper, we propose a novel, user-friendly, and…

Methodology · Statistics 2026-04-28 Yujia Wu , Panxu Yuan , Binyan Jiang

The simultaneous analysis of many statistical tests is ubiquitous in applications. Perhaps the most popular error rate used for avoiding type one error inflation is the false discovery rate (FDR). However, most theoretical and software…

Computation · Statistics 2019-04-04 Guillermo Durand , Florian Junge , Sebastian Döhler , Etienne Roquain

In this paper, we study a hypothesis test to determine the underlying directed graph structure of nodes in a network, where the nodes represent random processes and the direction of the links indicate a causal relationship between said…

Information Theory · Computer Science 2021-08-26 Sina Molavipour , Germán Bassi , Mikael Skoglund

Identifying the effects of new interventions from data is a significant challenge found across a wide range of the empirical sciences. A well-known strategy for identifying such effects is Pearl's front-door (FD) criterion (Pearl, 1995).…

Methodology · Statistics 2022-10-17 Hyunchai Jeong , Jin Tian , Elias Bareinboim

Conformal prediction builds marginally valid prediction intervals that cover the unknown outcome of a randomly drawn test point with a prescribed probability. However, in practice, data-driven methods are often used to identify specific…

Methodology · Statistics 2025-04-21 Ying Jin , Zhimei Ren

After the seminal Benjamini-Hochberg (BH) procedure for controlling the false discovery rate (FDR) was proposed, dozens of papers have attempted to improve its power by adapting to the unknown proportion of nulls. We observe that most null…

Methodology · Statistics 2026-03-24 Nikolaos Ignatiadis , Ruodu Wang , Aaditya Ramdas

In this paper, we consider the approximate controllability of partial differential equations with time derivatives of non-integer order via boundary control. We first show the unique existence of the solution under smooth boundary…

Optimization and Control · Mathematics 2015-01-07 Kenichi Fujishiro

The introduction of the false discovery rate (FDR) by Benjamini and Hochberg has spurred a great interest in developing methodologies to control the FDR in various settings. The majority of existing approaches, however, address the FDR…

Methodology · Statistics 2016-06-09 Kasra Alishahi , Ahmad Reza Ehyaei , Ali Shojaie

This paper extends the theory of false discovery rates (FDR) pioneered by Benjamini and Hochberg [J. Roy. Statist. Soc. Ser. B 57 (1995) 289-300]. We develop a framework in which the False Discovery Proportion (FDP)--the number of false…

Statistics Theory · Mathematics 2007-06-13 Christopher Genovese , Larry Wasserman

In high-dimensional data analysis, such as financial index tracking or biomedical applications, it is crucial to select the few relevant variables while maintaining control over the false discovery rate (FDR). In these applications, strong…

Portfolio Management · Quantitative Finance 2024-01-31 Jasin Machkour , Daniel P. Palomar , Michael Muma

Conformal Prediction (CP) is a widely used technique for quantifying uncertainty in machine learning models. In its standard form, CP offers probabilistic guarantees on the coverage of the true label, but it is agnostic to sensitive…

Machine Learning · Computer Science 2025-09-30 Anutam Srinivasan , Aditya T. Vadlamani , Amin Meghrazi , Srinivasan Parthasarathy

This paper proposes a model-free and data-adaptive feature screening method for ultra-high dimensional datasets. The proposed method is based on the projection correlation which measures the dependence between two random vectors. This…

Methodology · Statistics 2021-02-16 Wanjun Liu , Yuan Ke , Jingyuan Liu , Runze Li
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