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This paper proposes an adaptive penalized weighted mean regression for outlier detection of high-dimensional data. In comparison to existing approaches based on the mean shift model, the proposed estimators demonstrate robustness against…

统计理论 · 数学 2023-06-27 Jiaqi Li , Linglong Kong , Bei Jiang , Wei Tu

This paper describes recursive algorithms for state estimation of linear dynamical systems when measurements are noisy with unknown bias and/or outliers. For situations with noisy and biased measurements, algorithms are proposed that…

系统与控制 · 电气工程与系统科学 2025-03-11 Krishan Mohan Nagpal

Robustness to outliers is a central issue in real-world machine learning applications. While replacing a model to a heavy-tailed one (e.g., from Gaussian to Student-t) is a standard approach for robustification, it can only be applied to…

机器学习 · 统计学 2018-03-01 Futoshi Futami , Issei Sato , Masashi Sugiyama

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

Mislabeled samples are ubiquitous in real-world datasets as rule-based or expert labeling is usually based on incorrect assumptions or subject to biased opinions. Neural networks can "memorize" these mislabeled samples and, as a result,…

机器学习 · 计算机科学 2021-11-24 Katharina Rombach , Gabriel Michau , Olga Fink

We derive a convex optimization problem for the task of segmenting sequential data, which explicitly treats presence of outliers. We describe two algorithms for solving this problem, one exact and one a top-down novel approach, and we…

机器学习 · 计算机科学 2014-11-19 Itamar Katz , Koby Crammer

The association between a continuous and an ordinal variable is commonly modeled through the polyserial correlation model. However, this model, which is based on a partially-latent normality assumption, may be misspecified in practice, due…

统计方法学 · 统计学 2026-02-11 Max Welz

We develop a new robust geographically weighted regression method in the presence of outliers. We embed the standard geographically weighted regression in robust objective function based on $\gamma$-divergence. A novel feature of the…

统计方法学 · 统计学 2021-10-15 Shonosuke Sugasawa , Daisuke Murakami

Detecting a small number of outliers from a set of data observations is always challenging. This problem is more difficult in the setting of multiple network samples, where computing the anomalous degree of a network sample is generally not…

人工智能 · 计算机科学 2016-10-04 Xuan-Hong Dang , Arlei Silva , Ambuj Singh , Ananthram Swami , Prithwish Basu

Neural networks are very successful at detecting patterns in noisy data, and have become the technology of choice in many fields. However, their usefulness is hampered by their susceptibility to adversarial attacks. Recently, many methods…

机器学习 · 计算机科学 2022-07-14 Marco Casadio , Ekaterina Komendantskaya , Matthew L. Daggitt , Wen Kokke , Guy Katz , Guy Amir , Idan Refaeli

Polynomial regression is a recurrent problem with a large number of applications. In computer vision it often appears in motion analysis. Whatever the application, standard methods for regression of polynomial models tend to deliver biased…

计算机视觉与模式识别 · 计算机科学 2018-05-24 Juan-Manuel Perez-Rua , Tomas Crivelli , Patrick Bouthemy , Patrick Perez

In this paper we describe a probabilistic method for estimating the position of an object along with its covariance matrix using neural networks. Our method is designed to be robust to outliers, have bounded gradients with respect to the…

计算机视觉与模式识别 · 计算机科学 2021-11-22 David Mohlin , Gerald Bianchi , Josephine Sullivan

Sparse linear regression methods such as Lasso require a tuning parameter that depends on the noise variance, which is typically unknown and difficult to estimate in practice. In the presence of heavy-tailed noise or adversarial outliers,…

统计理论 · 数学 2025-06-17 Takeyuki Sasai , Hironori Fujisawa

Labelling of data for supervised learning can be costly and time-consuming and the risk of incorporating label noise in large data sets is imminent. When training a flexible discriminative model using a strictly proper loss, such noise will…

机器学习 · 统计学 2022-05-13 Amanda Olmin , Fredrik Lindsten

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.…

统计理论 · 数学 2016-12-01 Christophe Culan , Claude Adnet

The proper handling of out-of-distribution (OOD) samples in deep classifiers is a critical concern for ensuring the suitability of deep neural networks in safety-critical systems. Existing approaches developed for robust OOD detection in…

计算机视觉与模式识别 · 计算机科学 2024-06-18 Nasrin Alipour , Seyyed Ali SeyyedSalehi

This paper focuses on efficient computational approaches to compute approximate solutions of a linear inverse problem that is contaminated with mixed Poisson--Gaussian noise, and when there are additional outliers in the measured data. The…

数值分析 · 数学 2018-01-22 Marie Kubínová , James G. Nagy

Locating a target is key in many applications, namely in high-stakes real-world scenarios, like detecting humans or obstacles in vehicular networks. In scenarios where precise statistics of the measurement noise are unavailable,…

最优化与控制 · 数学 2022-08-17 João Domingos , Cláudia Soares , João Xavier

Robust estimation under Huber's $\epsilon$-contamination model has become an important topic in statistics and theoretical computer science. Statistically optimal procedures such as Tukey's median and other estimators based on depth…

机器学习 · 统计学 2019-02-27 Chao Gao , Jiyi Liu , Yuan Yao , Weizhi Zhu

Linear mixed models (LMMs) are a popular class of methods for analyzing longitudinal and clustered data. However, such models can be sensitive to outliers, and this can lead to biased inference on model parameters and inaccurate prediction…

统计方法学 · 统计学 2025-03-28 Shonosuke Sugasawa , Francis K. C. Hui , Alan H. Welsh