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We have developed a new model of the Doppler tomography using total variation minimization (DTTVM). This method can reconstruct localized and non-axisymmetric profiles having sharp edges in the Doppler map. This characteristic is emphasized…

Solar and Stellar Astrophysics · Physics 2015-06-23 Makoto Uemura , Taichi Kato , Daisaku Nogami , Ronald Mennickent

Statistical analysis of tensor-valued data has largely used the tensor-variate normal (TVN) distribution that may be inadequate when data comes from distributions with heavier or lighter tails. We study a general family of elliptically…

Methodology · Statistics 2022-11-15 Carlos Llosa-Vite , Ranjan Maitra

Robustness to outliers is often a desirable property of statistical estimators. Indeed many well known estimators offer very good optimal performance in theory but are unusable in applied contexts because of their sensitivity to outliers.…

Statistics Theory · Mathematics 2016-12-01 Christophe Culan , Claude Adnet

Transformers excel in natural language processing and computer vision tasks. However, they still face challenges in generalizing to Out-of-Distribution (OOD) datasets, i.e. data whose distribution differs from that seen during training. OOD…

Machine Learning · Computer Science 2026-01-30 Yijin Zhou , Yutang Ge , Wenyuan Xie , Linqian Zeng , Xiaowen Dong , Yuguang Wang

Transit timing variations (TTVs) can provide useful information for systems observed by transit, as they allow us to put constraints on the masses and eccentricities of the observed planets, or even to constrain the existence of…

Earth and Planetary Astrophysics · Physics 2021-11-15 A. Leleu , G. Chatel , S. Udry , Y. Alibert , J. -B. Delisle , R. Mardling

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

With the recently rapid development in deep learning, deep neural networks have been widely adopted in many real-life applications. However, deep neural networks are also known to have very little control over its uncertainty for unseen…

Machine Learning · Computer Science 2019-04-23 Wenhu Chen , Yilin Shen , Hongxia Jin , William Wang

Outlier detection is a well-researched and crucial problem in machine learning. However, there is little research on string data outlier detection, as most literature focuses on outlier detection of numerical data. A robust string data…

Machine Learning · Computer Science 2026-03-13 Philip Maus

Background and Objective: Histograms and Pearson's coefficient of variation are among the most popular summary statistics. Researchers use histograms to judge the shape of quantitative data distribution by visual inspection. The coefficient…

Methodology · Statistics 2022-04-14 Paulo S. P. Silveira , Jose O. Siqueira

The transit timing variation (TTV) method allows the detection of non-transiting planets through their gravitational perturbations. Since TTVs are strongly enhanced in systems close to mean-motion resonances (MMR), even a low mass planet…

Earth and Planetary Astrophysics · Physics 2015-06-03 Gwenaël Boué , Mahmoudreza Oshagh , Marco Montalto , Nuno C. Santos

Most of existing outlier detection methods assume that the outlier factors (i.e., outlierness scoring measures) of data entities (e.g., feature values and data objects) are Independent and Identically Distributed (IID). This assumption does…

Machine Learning · Computer Science 2021-03-23 Guansong Pang , Longbing Cao , Ling Chen

Outliers arise in networks due to different reasons such as fraudulent behavior of malicious users or default in measurement instruments and can significantly impair network analyses. In addition, real-life networks are likely to be…

Machine Learning · Statistics 2020-12-02 Solenne Gaucher , Olga Klopp , Geneviève Robin

Outlier hypothesis testing is studied in a universal setting. Multiple sequences of observations are collected, a small subset of which are outliers. A sequence is considered an outlier if the observations in that sequence are distributed…

Information Theory · Computer Science 2014-04-02 Yun Li , Sirin Nitinawarat , Venugopal V. Veeravalli

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…

Methodology · Statistics 2019-08-13 Shuxiao Chen , Jacob Bien

Automatic detection of statistical outliers is facilitated through knowledge of the source distribution of regular observations. Since the population distribution is often unknown in practice, one approach is to apply a transformation to…

Methodology · Statistics 2025-11-19 Saranjeet Singh Saluja , Fatma Parlak , Amanda Mejia

The sample covariance matrix is a cornerstone of multivariate statistics, but it is highly sensitive to outliers. These can be casewise outliers, such as cases belonging to a different population, or cellwise outliers, which are deviating…

Methodology · Statistics 2025-05-27 Fabio Centofanti , Mia Hubert , Peter J. Rousseeuw

Unsupervised learning methods are well established in the area of anomaly detection and achieve state of the art performances on outlier datasets. Outliers play a significant role, since they bear the potential to distort the predictions of…

Machine Learning · Computer Science 2024-07-02 Andreas Lohrer , Daniyal Kazempour , Maximilian Hünemörder , Peer Kröger

In the real world, a learning system could receive an input that is unlike anything it has seen during training. Unfortunately, out-of-distribution samples can lead to unpredictable behaviour. We need to know whether any given input belongs…

Machine Learning · Computer Science 2019-08-21 Alireza Shafaei , Mark Schmidt , James J. Little

Outlier detection is a significant area in data mining. It can be either used to pre-process the data prior to an analysis or post the processing phase (before visualization) depending on the effectiveness of the outlier and its importance.…

Machine Learning · Statistics 2021-06-22 Jacob John

Outlier detection amounts to finding data points that differ significantly from the norm. Classic outlier detection methods are largely designed for single data type such as continuous or discrete. However, real world data is increasingly…

Machine Learning · Statistics 2016-08-18 Kien Do , Truyen Tran , Dinh Phung , Svetha Venkatesh
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