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We compare two theoretically distinct approaches to generating artificial (or ``surrogate'') data for testing hypotheses about a given data set. The first and more straightforward approach is to fit a single ``best'' model to the original…

comp-gas · Physics 2015-06-24 James Theiler , Dean Prichard

In this paper we introduce a novel procedure for improving multiple testing procedures (MTPs) under scenarios when the null hypothesis $p$-values tend to be stochastically larger than standard uniform (referred to as 'inflated'). An…

Methodology · Statistics 2025-08-29 Jules L. Ellis , Jakub Pecanka , Jelle Goeman

Many model selection algorithms produce a path of fits specifying a sequence of increasingly complex models. Given such a sequence and the data used to produce them, we consider the problem of choosing the least complex model that is not…

Methodology · Statistics 2015-12-09 William Fithian , Jonathan Taylor , Robert Tibshirani , Ryan Tibshirani

Methods that rely on proxies, without imposing strong parametric structure, are increasingly used to deal with unobserved variables in causal inference. One influential line of this work reconstructs latent distributions used to identify…

Methodology · Statistics 2026-05-12 Helen Guo , Ilya Shpitser , Elizabeth L. Ogburn

Estimating causal quantities (CQs) typically requires large datasets, which can be expensive to obtain, especially when measuring individual outcomes is costly. This challenge highlights the importance of sample-efficient active learning…

Machine Learning · Statistics 2025-09-30 Erdun Gao , Dino Sejdinovic

In many settings, robust data analysis involves computational methods for uncertainty quantification and statistical inference. To design frequentist studies that leverage robust analysis methods, suitable sample sizes to achieve desired…

Methodology · Statistics 2025-12-19 Luke Hagar , Andrew J. Martin

Modern scientific technology has provided a new class of large-scale simultaneous inference problems, with thousands of hypothesis tests to consider at the same time. Microarrays epitomize this type of technology, but similar situations…

Statistics Theory · Mathematics 2007-11-06 Bradley Efron

We address the problem of reward hacking, where maximising a proxy reward does not necessarily increase the true reward. This is a key concern for Large Language Models (LLMs), as they are often fine-tuned on human preferences that may not…

An active hypothesis testing problem is formulated. In this problem, the agent can perform a fixed number of experiments and then decide on one of the hypotheses. The agent is also allowed to declare its experiments inconclusive if needed.…

Information Theory · Computer Science 2019-01-23 Dhruva Kartik , Ashutosh Nayyar , Urbashi Mitra

Due to the falling costs of data acquisition and storage, researchers and industry analysts often want to find all instances of rare events in large datasets. For instance, scientists can cheaply capture thousands of hours of video, but are…

Databases · Computer Science 2022-01-05 Daniel Kang , Edward Gan , Peter Bailis , Tatsunori Hashimoto , Matei Zaharia

Algorithms that ensure reproducible findings from large-scale, high-dimensional data are pivotal in numerous signal processing applications. In recent years, multivariate false discovery rate (FDR) controlling methods have emerged,…

Methodology · Statistics 2024-01-31 Jasin Machkour , Michael Muma , Daniel P. Palomar

A clinical study is often necessary for exploring important research questions; however, this approach is sometimes time and money consuming. Another extreme approach, which is to collect and aggregate opinions from crowds, provides a…

Human-Computer Interaction · Computer Science 2022-05-17 Shoko Wakamiya , Toshiki Mera , Eiji Aramaki , Masaki Matsubara , Atsuyuki Morishima

In this article, we consider the problem of simultaneous testing of hypotheses when the individual test statistics are not necessarily independent. Specifically, we consider the problem of simultaneous testing of point null hypotheses…

Statistics Theory · Mathematics 2018-07-17 Prasenjit Ghosh , Arijit Chakrabarti

The problem of multiple hypothesis testing arises when there are more than one hypothesis to be tested simultaneously for statistical significance. This is a very common situation in many data mining applications. For instance, assessing…

Machine Learning · Statistics 2009-06-30 Sami Hanhijärvi , Kai Puolamäki , Gemma C. Garriga

We consider a multiple hypothesis testing problem in a sensor network over the joint spatio-temporal domain. The sensor network is modeled as a graph, with each vertex representing a sensor and a signal over time associated with each…

Signal Processing · Electrical Eng. & Systems 2025-01-23 Xingchao Jian , Martin Gölz , Feng Ji , Wee Peng Tay , Abdelhak M. Zoubir

The large bulk of work in multiple testing has focused on specifying procedures that control the false discovery rate (FDR), with relatively less attention being paid to the corresponding Type II error known as the false non-discovery rate…

Statistics Theory · Mathematics 2020-05-11 Max Rabinovich , Michael I. Jordan , Martin J. Wainwright

Statistical hypothesis testing serves as statistical evidence for scientific innovation. However, if the reported results are intentionally biased, hypothesis testing no longer controls the rate of false discovery. In particular, we study…

Methodology · Statistics 2018-10-12 Junpei Komiyama , Takanori Maehara

In many scenarios such as genome-wide association studies where dependences between variables commonly exist, it is often of interest to infer the interaction effects in the model. However, testing pairwise interactions among millions of…

Methodology · Statistics 2022-09-02 Jingyi Duan , Yang Ning , Xi Chen , Yong Chen

The partial conjunction null hypothesis is tested in order to discover a signal that is present in multiple studies. The standard approach of carrying out a multiple test procedure on the partial conjunction (PC) $p$-values can be extremely…

Methodology · Statistics 2024-06-14 Thorsten Dickhaus , Ruth Heller , Anh-Tuan Hoang , Yosef Rinott

We consider the problem of variable selection in high-dimensional statistical models where the goal is to report a set of variables, out of many predictors $X_1, \dotsc, X_p$, that are relevant to a response of interest. For linear…

Methodology · Statistics 2019-03-20 Adel Javanmard , Hamid Javadi