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We propose two new outlier detection methods, for identifying and classifying different types of outliers in (big) functional data sets. The proposed methods are based on an existing method called Massive Unsupervised Outlier Detection…

统计方法学 · 统计学 2021-10-15 Oluwasegun Taiwo Ojo , Antonio Fernández Anta , Rosa E. Lillo , Carlo Sguera

Integrating the outputs of multiple classifiers via combiners or meta-learners has led to substantial improvements in several difficult pattern recognition problems. In the typical setting investigated till now, each classifier is trained…

机器学习 · 计算机科学 2007-05-23 Kagan Tumer , Joydeep Ghosh

Complex simulator-based models are now routinely used to perform inference across the sciences and engineering, but existing inference methods are often unable to account for outliers and other extreme values in data which occur due to…

机器学习 · 统计学 2026-02-18 Ayush Bharti , Charita Dellaporta , Yuga Hikida , François-Xavier Briol

Distance covariance is a popular measure of dependence between random variables. It has some robustness properties, but not all. We prove that the influence function of the usual distance covariance is bounded, but that its breakdown value…

统计方法学 · 统计学 2025-08-26 Sarah Leyder , Jakob Raymaekers , Peter J. Rousseeuw

Model averaging is an alternative to model selection for dealing with model uncertainty, which is widely used and very valuable. However, most of the existing model averaging methods are proposed based on the least squares loss function,…

统计方法学 · 统计学 2019-10-29 Miaomiao Wang , Guohua Zou

We study the algorithmic problem of robust mean estimation of an identity covariance Gaussian in the presence of mean-shift contamination. In this contamination model, we are given a set of points in $\mathbb{R}^d$ generated i.i.d. via the…

数据结构与算法 · 计算机科学 2025-02-21 Ilias Diakonikolas , Giannis Iakovidis , Daniel M. Kane , Thanasis Pittas

Extracting the underlying trend signal is a crucial step to facilitate time series analysis like forecasting and anomaly detection. Besides noise signal, time series can contain not only outliers but also abrupt trend changes in real-world…

机器学习 · 计算机科学 2019-06-28 Qingsong Wen , Jingkun Gao , Xiaomin Song , Liang Sun , Jian Tan

We refer to recent inference methodology and formulate a framework for solving the distributionally robust optimization problem, where the true probability measure is inside a Wasserstein ball around the empirical measure and the radius of…

数理金融 · 定量金融 2023-06-28 Xin Hai , Kihun Nam

Multivariate time series imputation is often compromised by mismatch between the observed and true data distributions, a bias induced by the combined effects of time-series non-stationarity and systematic missingness. Standard methods that…

机器学习 · 统计学 2026-05-07 Che-Yi Liao , Zheng Dong , Gian-Gabriel Garcia , Kamran Paynabar

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

We consider the frequency estimation of periodic signals using noisy time-of-arrival (TOA) information with missing (sparse) data contaminated with outliers. We tackle the problem from a mathematical optimization standpoint, formulating it…

最优化与控制 · 数学 2024-09-04 Romain Puech , Vincent Gouldieff

In this paper, we propose an outlier-robust regularized kernel-based method for linear system identification. The unknown impulse response is modeled as a zero-mean Gaussian process whose covariance (kernel) is given by the recently…

机器学习 · 统计学 2013-12-25 Giulio Bottegal , Aleksandr Y. Aravkin , Hakan Hjalmarsson , Gianluigi Pillonetto

Linear inverse problems are ubiquitous. Often the measurements do not follow a Gaussian distribution. Additionally, a model matrix with a large condition number can complicate the problem further by making it ill-posed. In this case, the…

统计方法学 · 统计学 2016-06-03 Marta Martinez-Camara , Michael Muma , Benjamin Bejar , Abdelhak M. Zoubir , Martin Vetterli

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…

统计方法学 · 统计学 2025-05-27 Fabio Centofanti , Mia Hubert , Peter J. Rousseeuw

The robust Poisson method is becoming increasingly popular when estimating the association of exposures with a binary outcome. Unlike the logistic regression model, the robust Poisson method yields results that can be interpreted as risk or…

统计方法学 · 统计学 2022-09-14 Denis Talbot , Miceline Mésidor , Yohann Chiu , Marc Simard , Caroline Sirois

A popular approach for comparing gene expression levels between (replicated) conditions of RNA sequencing data relies on counting reads that map to features of interest. Within such count-based methods, many flexible and advanced…

定量方法 · 定量生物学 2014-03-17 Xiaobei Zhou , Helen Lindsay , Mark D. Robinson

We take up optimality results for robust Kalman filtering from Ruckdeschel[2001,2010] where robustness is understood in a distributional sense, i.e.; we enlarge the distribution assumptions made in the ideal model by suitable neighborhoods,…

统计计算 · 统计学 2010-04-23 Peter Ruckdeschel

Many machine learning tasks involve subpopulation shift where the testing data distribution is a subpopulation of the training distribution. For such settings, a line of recent work has proposed the use of a variant of empirical risk…

机器学习 · 计算机科学 2021-06-14 Runtian Zhai , Chen Dan , J. Zico Kolter , Pradeep Ravikumar

Detecting out-of-distribution (OOD) inputs is critical for safely deploying deep learning models in the real world. Existing approaches for detecting OOD examples work well when evaluated on benign in-distribution and OOD samples. However,…

机器学习 · 计算机科学 2021-12-10 Jiefeng Chen , Yixuan Li , Xi Wu , Yingyu Liang , Somesh Jha

Disease control experts inspect public health data streams daily for outliers worth investigating, like those corresponding to data quality issues or disease outbreaks. However, they can only examine a few of the thousands of maximally-tied…

人工智能 · 计算机科学 2024-01-04 Ananya Joshi , Tina Townes , Nolan Gormley , Luke Neureiter , Roni Rosenfeld , Bryan Wilder