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When multiple investigators analyze a common dataset, the data reuse induces dependence across testing procedures, affecting the distribution of errors. Existing techniques of managing dependent tests require either cross-study coordination…

Statistics Theory · Mathematics 2026-04-10 Reid Dale , Jordan Rodu , Maria E. Currie , Mike Baiocchi

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

We consider statistical hypothesis testing simultaneously over a fairly general, possibly uncountably infinite, set of null hypotheses, under the assumption that a suitable single test (and corresponding $p$-value) is known for each…

Methodology · Statistics 2014-02-10 Gilles Blanchard , Sylvain Delattre , Etienne Roquain

A large class of non-smooth practical optimization problems can be written as minimization of a sum of smooth and partly smooth functions. We examine such structured problems which also depend on a parameter vector and study the problem of…

Optimization and Control · Mathematics 2024-10-28 Sheheryar Mehmood , Peter Ochs

We introduce CatNet, an algorithm that effectively controls False Discovery Rate (FDR) and selects significant features in LSTM. CatNet employs the derivative of SHAP values to quantify the feature importance, and constructs a vector-formed…

Machine Learning · Statistics 2026-05-08 Jiaan Han , Junxiao Chen , Yanzhe Fu

Learned sparse models such as SPLADE have successfully shown how to incorporate the benefits of state-of-the-art neural information retrieval models into the classical inverted index data structure. Despite their improvements in…

Information Retrieval · Computer Science 2024-04-23 Carlos Lassance , Hervé Dejean , Stéphane Clinchant , Nicola Tonellotto

The False Discovery Rate (FDR) method has recently been described by Miller et al (2001), along with several examples of astrophysical applications. FDR is a new statistical procedure due to Benjamini and Hochberg (1995) for controlling the…

Astrophysics · Physics 2009-11-07 A. M. Hopkins , C. J. Miller , A. J. Connolly , C. Genovese , R. C. Nichol , L. Wasserman

Sparse recovery and subset selection are fundamental problems in varied communities, including signal processing, statistics and machine learning. Herein, we focus on an important greedy algorithm for these problems: Backward Stepwise…

Optimization and Control · Mathematics 2021-06-08 Sebatian Ament , Carla Gomes

This paper studies early-stopped mirror descent applied to noisy sparse phase retrieval, which is the problem of recovering a $k$-sparse signal $\mathbf{x}^\star\in\mathbb{R}^n$ from a set of quadratic Gaussian measurements corrupted by…

Signal Processing · Electrical Eng. & Systems 2021-05-11 Fan Wu , Patrick Rebeschini

Time-sensitive machine learning benefits from Sequential Probability Ratio Test (SPRT), which provides an optimal stopping time for early classification of time series. However, in finite horizon scenarios, where input lengths are finite,…

Machine Learning · Computer Science 2025-01-31 Akinori F. Ebihara , Taiki Miyagawa , Kazuyuki Sakurai , Hitoshi Imaoka

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

Businesses frequently run online controlled experiments (i.e., A/B tests) to learn about the effect of an intervention on multiple business metrics. To account for multiple hypothesis testing, multiple metrics are commonly aggregated into a…

Methodology · Statistics 2026-01-22 Luke Hagar , Nathaniel T. Stevens

Conventional feature selection algorithms applied to Pseudo Time-Series (PTS) data, which consists of observations arranged in sequential order without adhering to a conventional temporal dimension, often exhibit impractical computational…

Machine Learning · Computer Science 2024-03-14 Mohammad Rahman , Manzur Murshed , Shyh Wei Teng , Manoranjan Paul

We propose a new empirical Bayes method for covariate-assisted multiple testing with false discovery rate (FDR) control, where we model the local false discovery rate for each hypothesis as a function of both its covariates and p-value. Our…

Methodology · Statistics 2021-07-01 Patrick Chao , William Fithian

Encoding frequency stability constraints in the operation problem is challenging due to its complex dynamics. Recently, data-driven approaches have been proposed to learn the stability criteria offline with the trained model embedded as a…

Systems and Control · Electrical Eng. & Systems 2024-07-23 Wangkun Xu , Qian Chen , Pudong Ge , Zhongda Chu , Fei Teng

This paper introduces a drift optimization model of stochastic optimization problems driven by regulated stochastic processes. A broad range of problems across operations research, machine learning, and statistics can be viewed as…

Optimization and Control · Mathematics 2025-06-10 Zihe Zhou , Harsha Honnappa , Raghu Pasupathy

We consider a problem where mutually untrusting curators possess portions of a vertically partitioned database containing information about a set of individuals. The goal is to enable an authorized party to obtain aggregate (statistical)…

Cryptography and Security · Computer Science 2013-04-18 Bing-Rong Lin , Ye Wang , Shantanu Rane

We consider risk-averse convex stochastic programs expressed in terms of extended polyhedral risk measures. We derive computable confidence intervals on the optimal value of such stochastic programs using the Robust Stochastic Approximation…

Optimization and Control · Mathematics 2016-09-06 Vincent Guigues

We consider a class of hypothesis testing problems where the null hypothesis postulates $M$ distributions for the observed data, and there is only one possible distribution under the alternative. We show that one can use a stochastic mirror…

In the sparse sequence model, we consider a popular Bayesian multiple testing procedure and investigate for the first time its behaviour from the frequentist point of view. Given a spike-and-slab prior on the high-dimensional sparse unknown…

Statistics Theory · Mathematics 2022-03-29 Kweku Abraham , Ismael Castillo , Etienne Roquain