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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

Machine learning and data analysis have been used in many robotics fields, especially for modelling. Data are usually the result of sensor measurements and, as such, they might be subjected to noise and outliers. The presence of outliers…

机器人学 · 计算机科学 2019-08-26 Francesco Cursi , Guang-Zhong Yang

Robust regression models in the presence of outliers have significant practical relevance in areas such as signal processing, financial econometrics, and energy management. Many existing robust regression methods, either grounded in…

信号处理 · 电气工程与系统科学 2025-06-30 Pengyang Song , Jue Wang

Outliers widely occur in big-data applications and may severely affect statistical estimation and inference. In this paper, a framework of outlier-resistant estimation is introduced to robustify an arbitrarily given loss function. It has a…

统计方法学 · 统计学 2023-04-20 Yiyuan She , Zhifeng Wang , Jiahui Shen

We provide theoretical and experimental evidence of statistical outliers in random laser emission that are not accounted for by the, now established, power-law tailed (L\'evy) distribution. Such outliers manifest themselves as single, large…

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…

The problems of outliers detection and robust regression in a high-dimensional setting are fundamental in statistics, and have numerous applications. Following a recent set of works providing methods for simultaneous robust regression and…

机器学习 · 统计学 2017-12-08 Alain Virouleau , Agathe Guilloux , Stéphane Gaïffas , Malgorzata Bogdan

Linear regression is ubiquitous in statistical analysis. It is well understood that conflicting sources of information may contaminate the inference when the classical normality of errors is assumed. The contamination caused by the light…

统计方法学 · 统计学 2019-06-13 Philippe Gagnon , Alain Desgagné , Mylène Bédard

In recent years, there have been significant improvements in various forms of image outlier detection. However, outlier detection performance under adversarial settings lags far behind that in standard settings. This is due to the lack of…

The presence of outliers (anomalous values) in synthetic aperture radar (SAR) data and the misspecification in statistical image models may result in inaccurate inferences. To avoid such issues, the Rayleigh regression model based on a…

应用统计 · 统计学 2022-08-02 B. G. Palm , F. M. Bayer , R. Machado , M. I. Pettersson , V. T. Vu , R. J. Cintra

State-space models (SSMs) provide a flexible framework for modelling time series data, but their reliance on Gaussian error assumptions makes them highly sensitive to outliers. We propose a robust estimation method, ROAMS, that mitigates…

统计方法学 · 统计学 2025-11-20 Rajan Shankar , Ines Wilms , Jakob Raymaekers , Garth Tarr

We perform an extended analysis of the distribution of drawdowns in the two leading exchange markets (US dollar against the Deutsmark and against the Yen), in the major world stock markets, in the U.S. and Japanese bond market and in the…

统计力学 · 物理学 2011-04-07 A. Johansen , D. Sornette

We propose a simple multiple outlier identification method for parametric location-scale and shape-scale models when the number of possible outliers is not specified. The method is based on a result giving asymptotic properties of extreme…

统计理论 · 数学 2020-12-07 Vilijandas Bagdonavicius , Linas Petkevicius

Many estimation problems in robotics, computer vision, and learning require estimating unknown quantities in the face of outliers. Outliers are typically the result of incorrect data association or feature matching, and it is common to have…

计算机视觉与模式识别 · 计算机科学 2021-03-25 Jingnan Shi , Heng Yang , Luca Carlone

To conduct regression analysis for data contaminated with outliers, many approaches have been proposed for simultaneous outlier detection and robust regression, so is the approach proposed in this manuscript. This new approach is called…

统计方法学 · 统计学 2016-03-25 Xiaoli Gao , Yixin Fang

Outlier detection and concept drift detection represent two challenges in data analysis. Most studies address these issues separately. However, joint detection mechanisms in regression remain underexplored, where the continuous nature of…

统计方法学 · 统计学 2025-12-16 Bingbing Wang , Shengyan Sun , Jiaqi Wang , Yu Tang

We develop a mixture-based approach to robust density modeling and outlier detection for experimental multivariate data that includes measurement error information. Our model is designed to infer atypical measurements that are not due to…

天体物理学 · 物理学 2007-09-07 Jianyong Sun , Ata Kaban , Somak Raychaudhury

Gaussian process regression (GPR) model is well-known to be susceptible to outliers. Robust process regression models based on t-process or other heavy-tailed processes have been developed to address the problem. However, due to the nature…

统计方法学 · 统计学 2017-07-10 Wang Zhanfeng , Noh Maengseok , Lee Youngjo , Shi Jianqing

Multi-dimensional scaling (MDS) plays a central role in data-exploration, dimensionality reduction and visualization. State-of-the-art MDS algorithms are not robust to outliers, yielding significant errors in the embedding even when only a…

计算机视觉与模式识别 · 计算机科学 2018-02-08 Leonid Blouvshtein , Daniel Cohen-Or

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
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