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We introduce one-sided versions of Huber's contamination model, in which corrupted samples tend to take larger values than uncorrupted ones. Two intertwined problems are addressed: estimation of the mean of uncorrupted samples (minimum…

统计理论 · 数学 2018-09-25 Alexandra Carpentier , Sylvain Delattre , Etienne Roquain , Nicolas Verzelen

Inference in the presence of outliers is an important field of research as outliers are ubiquitous and may arise across a variety of problems and domains. Bayesian optimization is method that heavily relies on probabilistic inference. This…

机器学习 · 计算机科学 2017-12-14 Ruben Martinez-Cantin , Kevin Tee , Michael McCourt

In the classical contamination models, such as the gross-error (Huber and Tukey contamination model or Case-wise Contamination), observations are considered as the units to be identified as outliers or not. This model is very useful when…

统计理论 · 数学 2021-03-11 Giovanni Saraceno , Claudio Agostinelli

In an industrial context, the activity of sensors is recorded at a high frequency. A challenge is to automatically detect abnormal measurement behavior. Considering the sensor measures as functional data, the problem can be formulated as…

统计理论 · 数学 2022-03-09 Martial Amovin-Assagba , Irène Gannaz , Julien Jacques

Ordinary least square (OLS) estimation of a linear regression model is well-known to be highly sensitive to outliers. It is common practice to (1) identify and remove outliers by looking at the data and (2) to fit OLS and form confidence…

统计方法学 · 统计学 2019-08-13 Shuxiao Chen , Jacob Bien

The inverse probability (IPW) and doubly robust (DR) estimators are often used to estimate the average causal effect (ATE), but are vulnerable to outliers. The IPW/DR median can be used for outlier-resistant estimation of the ATE, but the…

统计方法学 · 统计学 2024-09-16 Kazuharu Harada , Hironori Fujisawa

Outlier detection algorithms typically assign an outlier score to each observation in a dataset, indicating the degree to which an observation is an outlier. However, these scores are often not comparable across algorithms and can be…

In many applications, when building linear regression models, it is important to account for the presence of outliers, i.e., corrupted input data points. Such problems can be formulated as mixed-integer optimization problems involving cubic…

最优化与控制 · 数学 2023-07-13 Andrés Gómez , José Neto

In data analysis, contamination caused by outliers is inevitable, and robust statistical methods are strongly demanded. In this paper, our concern is to develop a new approach for robust data analysis based on scoring rules. The scoring…

统计理论 · 数学 2013-11-22 Takafumi Kanamori , Hironori Fujisawa

Z-scores are often employed in outlier detection in a dataset. For small samples, the presence of multiple outliers forces a finite supremum on the absolute value of possible z-scores that decreases with an increasing number of outliers,…

统计理论 · 数学 2016-03-15 Mark Chamness , Rachel Traylor

Network meta-analysis has been gaining prominence as an evidence synthesis method that enables the comprehensive synthesis and simultaneous comparison of multiple treatments. In many network meta-analyses, some of the constituent studies…

统计方法学 · 统计学 2021-07-14 Hisashi Noma , Masahiko Gosho , Ryota Ishii , Koji Oba , Toshi A. Furukawa

The impact of AI models on marginalized communities has traditionally been measured by identifying performance differences between specified demographic subgroups. Though this approach aims to center vulnerable groups, it risks obscuring…

计算与语言 · 计算机科学 2023-12-05 Vyoma Raman , Eve Fleisig , Dan Klein

Linear mixed models (LMMs) are a popular class of methods for analyzing longitudinal and clustered data. However, such models can be sensitive to outliers, and this can lead to biased inference on model parameters and inaccurate prediction…

统计方法学 · 统计学 2025-03-28 Shonosuke Sugasawa , Francis K. C. Hui , Alan H. Welsh

This paper considers the problem of recovering signals from compressed measurements contaminated with sparse outliers, which has arisen in many applications. In this paper, we propose a generative model neural network approach for…

信息论 · 计算机科学 2018-10-29 Jirong Yi , Anh Duc Le , Tianming Wang , Xiaodong Wu , Weiyu Xu

Often the challenge associated with tasks like fraud and spam detection[1] is the lack of all likely patterns needed to train suitable supervised learning models. In order to overcome this limitation, such tasks are attempted as outlier or…

机器学习 · 计算机科学 2018-08-22 Utkarsh Porwal , Smruthi Mukund

This paper considers the problem of recovering signals modeled by generative models from linear measurements contaminated with sparse outliers. We propose an outlier detection approach for reconstructing the ground-truth signals modeled by…

机器学习 · 统计学 2023-10-17 Jirong Yi , Jingchao Gao , Tianming Wang , Xiaodong Wu , Weiyu Xu

Semi- and non-parametric mixture of regressions are a very useful flexible class of mixture of regressions in which some or all of the parameters are non-parametric functions of the covariates. These models are, however, based on the…

统计方法学 · 统计学 2026-01-13 Sphiwe B. Skhosana , Weixin Yao

Mendelian Randomisation (MR) uses genetic variants as instrumental variables to infer causal effects of exposures on an outcome. One key assumption of MR is that the genetic variants used as instrumental variables are independent of the…

统计方法学 · 统计学 2025-02-21 Maximilian M Mandl , Anne-Laure Boulesteix , Stephen Burgess , Verena Zuber

Epidemiologic screening programs often make use of tests with small, but non-zero probabilities of misdiagnosis. In this article, we assume the target population is finite with a fixed number of true cases, and that we apply an imperfect…

统计方法学 · 统计学 2024-04-22 Lin Ge , Yuzi Zhang , Lance A. Waller , Robert H. Lyles

Intuitively, unfamiliarity should lead to lack of confidence. In reality, current algorithms often make highly confident yet wrong predictions when faced with relevant but unfamiliar examples. A classifier we trained to recognize gender is…

计算机视觉与模式识别 · 计算机科学 2020-09-09 Zhizhong Li , Derek Hoiem
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