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We study the problem of estimating the means of well-separated mixtures when an adversary may add arbitrary outliers. While strong guarantees are available when the outlier fraction is significantly smaller than the minimum mixing weight,…

Weighted Outlier Detection is a method for identifying unusual or anomalous data points in a dataset, which can be caused by various factors like human error, fraud, or equipment malfunctions. Detecting outliers can reveal vital information…

Machine Learning · Computer Science 2023-06-13 Ravindrakumar Purohit , Jai Prakash Verma , Rachna Jain , Madhuri Bhavsar

This paper proposes a fully Bayesian framework for node-level outlier detection in graph signals, where measurements are observed on the nodes of an underlying graph. Unlike traditional outlier detection methods, our approach accounts for…

Methodology · Statistics 2026-04-17 Seongmin Kim , Kyusoon Kim

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…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Krishan Mohan Nagpal

We consider the problem of learning mixtures of generalized linear models (GLM) which arise in classification and regression problems. Typical learning approaches such as expectation maximization (EM) or variational Bayes can get stuck in…

Machine Learning · Computer Science 2016-01-14 Hanie Sedghi , Majid Janzamin , Anima Anandkumar

Advances in compressive sensing provided reconstruction algorithms of sparse signals from linear measurements with optimal sample complexity, but natural extensions of this methodology to nonlinear inverse problems have been met with…

Information Theory · Computer Science 2020-08-25 Paul Hand , Oscar Leong , Vladislav Voroninski

Human operators often diagnose industrial machinery via anomalous sounds. Automated acoustic anomaly detection can lead to reliable maintenance of machinery. However, deep learning-driven anomaly detection methods often require an extensive…

Sound · Computer Science 2021-04-20 Saad Abbasi , Mahmoud Famouri , Mohammad Javad Shafiee , Alexander Wong

In high-dimensional multivariate regression problems, enforcing low rank in the coefficient matrix offers effective dimension reduction, which greatly facilitates parameter estimation and model interpretation. However, commonly-used…

Statistics Theory · Mathematics 2017-07-18 Yiyuan She , Kun Chen

A new technique for the detection of outliers in contingency tables is introduced. Outliers thereby are unexpected cell counts with respect to classical loglinear Poisson models. Subsets of cell counts called minimal patterns are defined,…

Computation · Statistics 2012-11-15 Sonja Kuhnt , Fabio Rapallo , André Rehage

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…

Machine Learning · Computer Science 2025-10-28 Juan A. Lara , David Lizcano , Víctor Rampérez , Javier Soriano

We propose to utilize gradients for detecting adversarial and out-of-distribution samples. We introduce confounding labels -- labels that differ from normal labels seen during training -- in gradient generation to probe the effective…

Machine Learning · Computer Science 2022-07-05 Jinsol Lee , Mohit Prabhushankar , Ghassan AlRegib

Generalized Linear Models (GLM) form a wide class of regression and classification models, where prediction is a function of a linear combination of the input variables. For statistical inference in high dimension, sparsity inducing…

Machine Learning · Statistics 2022-08-25 Mathurin Massias , Samuel Vaiter , Alexandre Gramfort , Joseph Salmon

Time series data occurs widely, and outlier detection is a fundamental problem in data mining, which has numerous applications. Existing autoencoder-based approaches deliver state-of-the-art performance on challenging real-world data but…

Machine Learning · Computer Science 2022-04-08 Tung Kieu , Bin Yang , Chenjuan Guo , Christian S. Jensen , Yan Zhao , Feiteng Huang , Kai Zheng

When neural networks are employed for high-stakes decision-making, it is desirable that they provide explanations for their prediction in order for us to understand the features that have contributed to the decision. At the same time, it is…

Machine Learning · Computer Science 2022-05-10 Penny Chong , Ngai-Man Cheung , Yuval Elovici , Alexander Binder

Nonlinear estimation in robotics and vision is typically plagued with outliers due to wrong data association, or to incorrect detections from signal processing and machine learning methods. This paper introduces two unifying formulations…

Computer Vision and Pattern Recognition · Computer Science 2021-07-05 Pasquale Antonante , Vasileios Tzoumas , Heng Yang , Luca Carlone

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,…

Statistics Theory · Mathematics 2025-06-17 Takeyuki Sasai , Hironori Fujisawa

This paper proposes a novel fast online methodology for outlier detection called the exception maximization outlier detection method(EMODM), which employs probabilistic models and statistical algorithms to detect abnormal patterns from the…

Machine Learning · Statistics 2025-06-03 Zhikun Zhang , Yiting Duan , Xiangjun Wang , Mingyuan Zhang

It is now well understood that (1) it is possible to reconstruct sparse signals exactly from what appear to be highly incomplete sets of linear measurements and (2) that this can be done by constrained L1 minimization. In this paper, we…

Methodology · Statistics 2007-11-13 Emmanuel J. Candes , Michael B. Wakin , Stephen P. Boyd

Impulsed noise outliers are data points that differs significantly from other observations.They are generally removed from the data set through local regression or Kalman filter algorithm.However, these methods, or their generalizations,…

Methodology · Statistics 2022-08-02 Bertrand Cloez , Bénédicte Fontez , Eliel González García , Isabelle Sanchez

Anomaly detection, or outlier detection, is a crucial task in various domains to identify instances that significantly deviate from established patterns or the majority of data. In the context of autonomous driving, the identification of…

Computer Vision and Pattern Recognition · Computer Science 2023-08-07 Martin Bikandi , Gorka Velez , Naiara Aginako , Itziar Irigoien