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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

We consider a multi-object detection problem over a sensor network (SNET) with limited range sensors. This problem complements the widely considered decentralized detection problem where all sensors observe the same object. While the…

Information Theory · Computer Science 2016-11-17 Erhan B. Ermis , Venkatesh Saligrama

Differentially private multiple testing procedures can protect the information of individuals used in hypothesis tests while guaranteeing a small fraction of false discoveries. In this paper, we propose a differentially private adaptive FDR…

Machine Learning · Statistics 2023-06-01 Xintao Xia , Zhanrui Cai

A grand challenge in machine learning is the development of computational algorithms that match or outperform humans in perceptual inference tasks that are complicated by nuisance variation. For instance, visual object recognition involves…

Machine Learning · Statistics 2015-04-03 Ankit B. Patel , Tan Nguyen , Richard G. Baraniuk

This paper introduces a new technique to measure the feature dependency of neural network models. The motivation is to better understand a model by querying whether it is using information from human-understandable features, e.g.,…

Machine Learning · Computer Science 2024-10-10 Yinzhu Jin , Matthew B. Dwyer , P. Thomas Fletcher

Modern applications of conformal inference to multiple testing problems, such as outlier detection and candidate selection, often involve selecting test samples whose conformal p-values fall below a threshold. The quality of such methods is…

Methodology · Statistics 2026-05-21 Ziang Song , Ying Jin , Emmanuel J. Candès

Feature selection has remained a daunting challenge in machine learning and artificial intelligence, where increasingly complex, high-dimensional datasets demand principled strategies for isolating the most informative predictors. Despite…

Machine Learning · Statistics 2025-12-02 Mousam Sinha , Tirtha Sarathi Ghosh , Ridam Pal

Word embedding, specially with its recent developments, promises a quantification of the similarity between terms. However, it is not clear to which extent this similarity value can be genuinely meaningful and useful for subsequent tasks.…

Computation and Language · Computer Science 2018-04-05 Navid Rekabsaz , Mihai Lupu , Allan Hanbury

In this paper we investigate the problem of learning an unknown bounded function. We be emphasize special cases where it is possible to provide very simple (in terms of computation) estimates enjoying in addition the property of being…

Statistics Theory · Mathematics 2007-06-13 Gerard Kerkyacharian , Dominique Picard

Controlling the false discovery rate (FDR) is a critical challenge in large-scale data analysis, particularly in the presence of outliers. A common practice involves imposing a Student-$t$ distribution to eliminate the influence of…

Methodology · Statistics 2026-04-01 Yoshiko Hayashi

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

Missing and incorrect values often cause serious consequences. To deal with these data quality problems, a class of common employed tools are dependency rules, such as Functional Dependencies (FDs), Conditional Functional Dependencies…

Databases · Computer Science 2017-10-10 Jizhou Sun , Jianzhong Li , Hong Gao

In multiple testing problems, where a large number of hypotheses are tested simultaneously, false discovery rate (FDR) control can be achieved with the well-known Benjamini-Hochberg procedure, which adapts to the amount of signal present in…

Methodology · Statistics 2017-09-14 Ang Li , Rina Foygel Barber

This paper revisits the following open question in simultaneous testing of multivariate normal means against two-sided alternatives: Can the method of Benjamini and Hochberg (BH, 1995) control the false discovery rate (FDR) without imposing…

Statistics Theory · Mathematics 2023-04-12 Sanat K. Sarkar

Two-sample hypothesis testing for network comparison presents many significant challenges, including: leveraging repeated network observations and known node registration, but without requiring them to operate; relaxing strong structural…

Methodology · Statistics 2024-02-05 Meijia Shao , Dong Xia , Yuan Zhang , Qiong Wu , Shuo Chen

When testing a number of statistical hypotheses using data from location families, it is often useful to control the false discovery rate (FDR) not just for hypotheses of the null values but also of other parameter values that are deemed…

Methodology · Statistics 2026-05-12 Zijun Gao , Wenjie Hu , Qingyuan Zhao

In a one-way analysis-of-variance (ANOVA) model, the number of all pairwise comparisons can be large even when there are only a moderate number of groups. Motivated by this, we consider a regime with a growing number of groups, and prove…

Statistics Theory · Mathematics 2023-12-12 Weidong Liu , Dennis Leung , Qiman Shao

We attempt to recover an $n$-dimensional vector observed in white noise, where $n$ is large and the vector is known to be sparse, but the degree of sparsity is unknown. We consider three different ways of defining sparsity of a vector:…

Statistics Theory · Mathematics 2007-06-13 Felix Abramovich , Yoav Benjamini , David L. Donoho , Iain M. Johnstone

Efron's two-group model is widely used in large scale multiple testing. This model assumes that test statistics are mutually independent, however in realistic settings they are typically dependent, and taking the dependence into account can…

Methodology · Statistics 2022-12-20 Rajesh Karmakar , Ruth Heller , Saharon Rosset

The thresholded feature has recently emerged as an extremely efficient, yet rough empirical approximation, of the time-consuming sparse coding inference process. Such an approximation has not yet been rigorously examined, and standard…

Computer Vision and Pattern Recognition · Computer Science 2019-02-20 Hongyu Xu , Zhangyang Wang , Haichuan Yang , Ding Liu , Ji Liu