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Outlier detection (OD) literature exhibits numerous algorithms as it applies to diverse domains. However, given a new detection task, it is unclear how to choose an algorithm to use, nor how to set its hyperparameter(s) (HPs) in…

机器学习 · 计算机科学 2022-10-20 Xueying Ding , Lingxiao Zhao , Leman Akoglu

Outlying observations can be challenging to handle and adversely affect subsequent analyses, especially in data with increasing dimensional complexity. Although outliers are not always undesired anomalies in the data and may possess…

统计方法学 · 统计学 2025-09-18 Anthony-Alexander Christidis , Gabriela Cohen-Freue

Commonly used in computer vision and other applications, robust PCA represents an algorithmic attempt to reduce the sensitivity of classical PCA to outliers. The basic idea is to learn a decomposition of some data matrix of interest into…

计算机视觉与模式识别 · 计算机科学 2016-10-10 Tae-Hyun Oh , Yasuyuki Matsushita , In So Kweon , David Wipf

The classical tests in the instrumental variable model can behave arbitrarily if the data is contaminated. For instance, one outlying observation can be enough to change the outcome of a test. We develop a framework to construct testing…

计量经济学 · 经济学 2024-03-26 Jens Klooster , Mikhail Zhelonkin

Outlier detection is a fundamental task in data mining and has many applications including detecting errors in databases. While there has been extensive prior work on methods for outlier detection, modern datasets often have sizes that are…

机器学习 · 计算机科学 2019-08-01 Laure Berti-Equille , Ji Meng Loh , Saravanan Thirumuruganathan

We study the problem of outlier correspondence pruning for non-rigid point cloud registration. In rigid registration, spatial consistency has been a commonly used criterion to discriminate outliers from inliers. It measures the…

计算机视觉与模式识别 · 计算机科学 2023-03-20 Zheng Qin , Hao Yu , Changjian Wang , Yuxing Peng , Kai Xu

Robust training of machine learning models in the presence of outliers has garnered attention across various domains. The use of robust losses is a popular approach and is known to mitigate the impact of outliers. We bring to light two…

机器学习 · 计算机科学 2025-01-03 Rajat Talak , Charis Georgiou , Jingnan Shi , Luca Carlone

Deep learning models are intrinsically sensitive to distribution shifts in the input data. In particular, small, barely perceivable perturbations to the input data can force models to make wrong predictions with high confidence. An common…

计算机视觉与模式识别 · 计算机科学 2022-10-26 Paul Gavrikov , Janis Keuper

In this paper, we propose a way to model the resilience of the Iterative Closest Point (ICP) algorithm in the presence of corrupted measurements. In the context of autonomous vehicles, certifying the safety of the localization process poses…

机器人学 · 计算机科学 2024-01-03 Johann Laconte , Daniil Lisus , Timothy D. Barfoot

We derive a novel, provably robust, and closed-form Bayesian update rule for online filtering in state-space models in the presence of outliers and misspecified measurement models. Our method combines generalised Bayesian inference with…

We explore the connection between outlier-robust high-dimensional statistics and non-convex optimization in the presence of sparsity constraints, with a focus on the fundamental tasks of robust sparse mean estimation and robust sparse PCA.…

机器学习 · 计算机科学 2022-11-15 Yu Cheng , Ilias Diakonikolas , Rong Ge , Shivam Gupta , Daniel M. Kane , Mahdi Soltanolkotabi

We consider the problem of principal component analysis (PCA) in the presence of outliers. Given a matrix $A$ ($d \times n$) and parameters $k, m$, the goal is to remove a set of at most $m$ columns of $A$ (known as outliers), so as to…

数据结构与算法 · 计算机科学 2018-05-14 Aditya Bhaskara , Srivatsan Kumar

Principal Component Analysis (PCA) is widely used for dimensionality reduction and data analysis. However, PCA results are adversely affected by outliers often observed in real-world data. Existing robust PCA methods are often…

计算工程、金融与科学 · 计算机科学 2025-06-23 Timbwaoga Aime Judicael Ouermi , Jixian Li , Chris R. Johnson

The Classical Tukey-Huber Contamination Model (CCM) is a usual framework to describe the mechanism of outliers generation in robust statistics. In a data set with $n$ observations and $p$ variables, under the CCM, an outlier is a unit, even…

统计理论 · 数学 2014-07-15 Claudio Agostinelli , Victor J. Yohai

The human intelligence lies in the algorithm, the nature of algorithm lies in the classification, and the classification is equal to outlier detection. A lot of algorithms have been proposed to detect outliers, meanwhile a lot of…

人工智能 · 计算机科学 2011-08-24 Ching-an Hsiao , Xinchun Tian

When applying a statistical method in practice it often occurs that some observations deviate from the usual assumptions. However, many classical methods are sensitive to outliers. The goal of robust statistics is to develop methods that…

统计方法学 · 统计学 2008-08-06 Mia Hubert , Peter J. Rousseeuw , Stefan Van Aelst

Most multivariate outlier detection procedures ignore the spatial dependency of observations, which is present in many real data sets from various application areas. This paper introduces a new outlier detection method that accounts for a…

统计方法学 · 统计学 2024-01-25 Patricia Puchhammer , Peter Filzmoser

Outlier detection and cleaning are essential steps in data preprocessing to ensure the integrity and validity of data analyses. This paper focuses on outlier points within individual trajectories, i.e., points that deviate significantly…

数据库 · 计算机科学 2025-11-26 Mariana M Garcez Duarte , Mahmoud Sakr

Rigid registration of multi-view and multi-platform LiDAR scans is a fundamental problem in 3D mapping, robotic navigation, and large-scale urban modeling applications. Data acquisition with LiDAR sensors involves scanning multiple areas…

计算机视觉与模式识别 · 计算机科学 2020-02-03 Aby Thomas , Adarsh Sunilkumar , Shankar Shylesh , Aby Abahai T. , Subhasree Methirumangalath , Dong Chen , Jiju Peethambaran

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…

统计方法学 · 统计学 2025-10-21 Luca Insolia , Ana Kenney , Francesca Chiaromonte , Giovanni Felici