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There are many research papers yielding the financial data models, where returns are tied either to the fundamental analysis or to the individual, often irrational, behaviour of investors. In the second case the bubble followed by the…

统计方法学 · 统计学 2022-10-06 Krzysztof Domino

Multivariate Gaussian is often used as a first approximation to the distribution of high-dimensional data. Determining the parameters of this distribution under various constraints is a widely studied problem in statistics, and is often…

统计理论 · 数学 2016-02-09 Samuel Balmand , Arnak Dalalyan

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

In this paper, we propose a novel conceptual framework to detect outliers using optimal transport with a concave cost function. Conventional outlier detection approaches typically use a two-stage procedure: first, outliers are detected and…

机器学习 · 统计学 2024-07-12 Jose Blanchet , Jiajin Li , Markus Pelger , Greg Zanotti

Anomalies in economic and financial data -- often linked to rare yet impactful events -- are of theoretical interest, but can also severely distort inference. Although outlier-robust methodologies can be used, many researchers prefer…

统计方法学 · 统计学 2025-09-01 Monica Billio , Roberto Casarin , Fausto Corradin , Antonio Peruzzi

Outlier detection refers to the identification of anomalous samples that deviate significantly from the distribution of normal data and has been extensively studied and used in a variety of practical tasks. However, most unsupervised…

机器学习 · 计算机科学 2025-01-07 Can Gao , Xiaofeng Tan , Jie Zhou , Weiping Ding , Witold Pedrycz

There exist multiple methods to detect outliers in multivariate data in the literature, but most of them require to estimate the covariance matrix. The higher the dimension, the more complex the estimation of the matrix becoming impossible…

统计方法学 · 统计学 2020-12-01 P. Navarro-Esteban , J. A. Cuesta-Albertos

The task of outlier detection is to find small groups of data objects that are exceptional when compared with rest large amount of data. Detection of such outliers is important for many applications such as fraud detection and customer…

数据库 · 计算机科学 2007-05-23 Zengyou He , Xiaofei Xu , Shengchun Deng

The importance of aggregated count data, which is calculated from the data of multiple individuals, continues to increase. Collective Graphical Model (CGM) is a probabilistic approach to the analysis of aggregated data. One of the most…

机器学习 · 统计学 2021-02-19 Yasunori Akagi , Naoki Marumo , Hideaki Kim , Takeshi Kurashima , Hiroyuki Toda

Outlier detection has gained increasing interest in recent years, due to newly emerging technologies and the huge amount of high-dimensional data that are now available. Outlier detection can help practitioners to identify unwanted noise…

统计理论 · 数学 2021-05-20 Mads Lindskou , Torben Tvedebrink , Poul Svante Eriksen , Niels Morling

We consider functional outlier detection from a geometric perspective, specifically: for functional data sets drawn from a functional manifold which is defined by the data's modes of variation in amplitude and phase. Based on this manifold,…

机器学习 · 统计学 2021-09-15 Moritz Herrmann , Fabian Scheipl

We propose a novel procedure for outlier detection in functional data, in a semi-supervised framework. As the data is functional, we consider the coefficients obtained after projecting the observations onto orthonormal bases (wavelet, PCA).…

We present in this paper a new tool for outliers detection in the context of multiple regression models. This graphical tool is based on recursive estimation of the parameters. Simulations were carried out to illustrate the performance of…

统计方法学 · 统计学 2007-07-03 Christian Paroissin

Outlier or anomaly detection is an important task in data analysis. We discuss the problem from a geometrical perspective and provide a framework that exploits the metric structure of a data set. Our approach rests on the manifold…

机器学习 · 统计学 2022-08-01 Moritz Herrmann , Florian Pfisterer , Fabian Scheipl

Outlier detection is an important problem occurring in a wide range of areas. Outliers are the outcome of fraudulent behaviour, mechanical faults, human error, or simply natural deviations. Many data mining applications perform outlier…

机器学习 · 计算机科学 2025-10-28 Juan A. Lara , David Lizcano , Víctor Rampérez , Javier Soriano

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

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 propose a new assumption in outlier detection: Normal data instances are commonly located in the area that there is hardly any fluctuation on data density, while outliers are often appeared in the area that there is violent fluctuation…

机器学习 · 计算机科学 2020-06-09 Ding Liu , Hui Li

State estimation of dynamical systems from noisy observations is a fundamental task in many applications. It is commonly addressed using the linear Kalman filter (KF), whose performance can significantly degrade in the presence of outliers…

信号处理 · 电气工程与系统科学 2024-08-27 Shunit Truzman , Guy Revach , Nir Shlezinger , Itzik Klein

Accurate and globally referenced global navigation satellite system (GNSS) based vehicular positioning can be achieved in outlier-free open areas. However, the performance of GNSS can be significantly degraded by outlier measurements, such…

信号处理 · 电气工程与系统科学 2021-09-07 Weisong Wen , Guohao Zhang , Li-Ta Hsu
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