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Related papers: Testing for Outliers with Conformal p-values

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This paper introduces a novel conformal selection procedure, inspired by the Neyman--Pearson paradigm, to maximize the power of selecting qualified units while maintaining false discovery rate (FDR) control. Existing conformal selection…

Methodology · Statistics 2025-02-25 Jing Qin , Yukun Liu , Moming Li , Chiung-Yu Huang

The paper proposes a new latent variable model for the simultaneous (two-way) detection of outlying individuals and items for item-response-type data. The proposed model is a synergy between a factor model for binary responses and…

Methodology · Statistics 2021-10-25 Yunxiao Chen , Yan Lu , Irini Moustaki

Sparse estimation methods capable of tolerating outliers have been broadly investigated in the last decade. We contribute to this research considering high-dimensional regression problems contaminated by multiple mean-shift outliers which…

Methodology · Statistics 2025-10-21 Luca Insolia , Ana Kenney , Francesca Chiaromonte , Giovanni Felici

The randomized $p$-value, (nonrandomized) mid-$p$-value and abstract randomized $p$-value have all been recommended for testing a null hypothesis whenever the test statistic has a discrete distribution. This paper provides a unifying…

Computation · Statistics 2014-12-02 Joshua D Habiger

This paper considers the problem of outlier detection in functional data analysis focusing particularly on the more difficult case of shape outliers. We present an inductive conformal anomaly detection method based on elastic functional…

Methodology · Statistics 2025-04-11 Jason Adams , Brandon Berman , Joshua Michalenko , J. Derek Tucker

We introduce an online outlier detection algorithm to detect outliers in a sequentially observed data stream. For this purpose, we use a two-stage filtering and hedging approach. In the first stage, we construct a multi-modal probability…

Machine Learning · Computer Science 2018-03-13 Mohammadreza Mohaghegh Neyshabouri , Suleyman Serdar Kozat

Most anomaly detection systems output scores rather than calibrated decisions, leaving practitioners to choose thresholds heuristically and without clear statistical interpretation. Conformal anomaly detection addresses this limitation by…

Machine Learning · Statistics 2026-05-14 Oliver Hennhöfer , Maximilian Kirsch , Christine Preisach

In a corpus of data, outliers are either errors: mistakes in the data that are counterproductive, or are unique: informative samples that improve model robustness. Identifying outliers can lead to better datasets by (1) removing noise in…

We consider state estimation for networked systems where measurements from sensor nodes are contaminated by outliers. A new hierarchical measurement model is formulated for outlier detection by integrating the outlier-free measurement model…

Applications · Statistics 2022-11-08 Hongwei Wang , Hongbin Li , Wei Zhang , Junyi Zuo , Heping Wang , Jun Fang

This paper proposes several tests of restricted specification in nonparametric instrumental regression. Based on series estimators, test statistics are established that allow for tests of the general model against a parametric or…

Econometrics · Economics 2019-09-24 Christoph Breunig

High-dimensional data poses unique challenges in outlier detection process. Most of the existing algorithms fail to properly address the issues stemming from a large number of features. In particular, outlier detection algorithms perform…

Machine Learning · Computer Science 2020-09-22 Firuz Kamalov , Ho Hon Leung

The deployment of safe and trustworthy machine learning systems, and particularly complex black box neural networks, in real-world applications requires reliable and certified guarantees on their performance. The conformal prediction…

Computer Vision and Pattern Recognition · Computer Science 2024-06-14 Paul Melki , Lionel Bombrun , Boubacar Diallo , Jérôme Dias , Jean-Pierre da Costa

Many high-dimensional hypothesis tests aim to globally examine marginal or low-dimensional features of a high-dimensional joint distribution, such as testing of mean vectors, covariance matrices and regression coefficients. This paper…

Statistics Theory · Mathematics 2020-02-04 Yinqiu He , Gongjun Xu , Chong Wu , Wei Pan

A popular approach for comparing gene expression levels between (replicated) conditions of RNA sequencing data relies on counting reads that map to features of interest. Within such count-based methods, many flexible and advanced…

Quantitative Methods · Quantitative Biology 2014-03-17 Xiaobei Zhou , Helen Lindsay , Mark D. Robinson

Outlying observations, which significantly deviate from other measurements, may distort the conclusions of data analysis. Therefore, identifying outliers is one of the important problems that should be solved to obtain reliable results.…

Computation · Statistics 2014-05-01 Soo-Heang Eo , Seung-Mo Hong , HyungJun Cho

Deciding whether a model provides a good description of data is often based on a goodness-of-fit criterion summarized by a p-value. Although there is considerable confusion concerning the meaning of p-values, leading to their misuse, they…

Data Analysis, Statistics and Probability · Physics 2013-05-29 Frederik Beaujean , Allen Caldwell , Daniel Kollar , Kevin Kroeninger

Let $(X,Y)$ be a random variable consisting of an observed feature vector $X\in \mathcal{X}$ and an unobserved class label $Y\in \{1,2,...,L\}$ with unknown joint distribution. In addition, let $\mathcal{D}$ be a training data set…

Statistics Theory · Mathematics 2008-06-26 Lutz Duembgen , Bernd-Wolfgang Igl , Axel Munk

P-values are a mainstay in statistics but are often misinterpreted. We propose a new interpretation of p-value as a meaningful plausibility, where this is to be interpreted formally within the inferential model framework. We show that, for…

Statistics Theory · Mathematics 2014-10-28 Ryan Martin , Chuanhai Liu

Outliers are ubiquitous in modern data sets. Distance-based techniques are a popular non-parametric approach to outlier detection as they require no prior assumptions on the data generating distribution and are simple to implement. Scaling…

Machine Learning · Statistics 2016-05-04 Mario Lucic , Olivier Bachem , Andreas Krause

We study the change detection problem with an unknown post-change distribution. Under this constraint, the unknown change in the distribution of observations may occur in many ways without much structure on the observations, whereas, before…

Signal Processing · Electrical Eng. & Systems 2020-12-11 Deniz Sargun , C. Emre Koksal
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