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Many methods based on sparse and low-rank representation been developed along with guarantees of correct outlier detection. Self-representation states that a point in a subspace can always be expressed as a linear combination of other…

Computer Vision and Pattern Recognition · Computer Science 2023-06-26 Qi Yang , Hao Zhu

A reliable evaluation method is essential for building a robust out-of-distribution (OOD) detector. Current robustness evaluation protocols for OOD detectors rely on injecting perturbations to outlier data. However, the perturbations are…

Cryptography and Security · Computer Science 2022-08-24 Sangwoong Yoon , Jinwon Choi , Yonghyeon Lee , Yung-Kyun Noh , Frank Chongwoo Park

This study develops a data-driven group variable selection method for data envelopment analysis (DEA), a non-parametric linear programming approach to the estimation of production frontiers. The proposed method extends the group Lasso…

Optimization and Control · Mathematics 2014-02-18 Zhiwei Qin , Irene Song

Anomalies are intuitively easy for human experts to understand, but they are hard to define mathematically. Therefore, in order to have performance guarantees in unsupervised anomaly detection, priors need to be assumed on what the…

Machine Learning · Statistics 2020-04-08 Tiago Pimentel , Marianne Monteiro , Adriano Veloso , Nivio Ziviani

As deep learning methods form a critical part in commercially important applications such as autonomous driving and medical diagnostics, it is important to reliably detect out-of-distribution (OOD) inputs while employing these algorithms.…

Machine Learning · Computer Science 2018-09-12 Apoorv Vyas , Nataraj Jammalamadaka , Xia Zhu , Dipankar Das , Bharat Kaul , Theodore L. Willke

Deep Learning (DL) is vulnerable to out-of-distribution and adversarial examples resulting in incorrect outputs. To make DL more robust, several posthoc (or runtime) anomaly detection techniques to detect (and discard) these anomalous…

Machine Learning · Computer Science 2021-02-23 Saikiran Bulusu , Bhavya Kailkhura , Bo Li , Pramod K. Varshney , Dawn Song

The minimum regularized covariance determinant method (MRCD) is a robust estimator for multivariate location and scatter, which detects outliers by fitting a robust covariance matrix to the data. Its regularization ensures that the…

Machine Learning · Statistics 2024-07-08 Joachim Schreurs , Iwein Vranckx , Mia Hubert , Johan A. K. Suykens , Peter J. Rousseeuw

Even though auto-encoders (AEs) have the desirable property of learning compact representations without labels and have been widely applied to out-of-distribution (OoD) detection, they are generally still poorly understood and are used…

Computer Vision and Pattern Recognition · Computer Science 2023-02-09 Cosmin I. Bercea , Daniel Rueckert , Julia A. Schnabel

This paper is concerned with the online estimation of a nonlinear dynamic system from a series of noisy measurements. The focus is on cases wherein outliers are present in-between normal noises. We assume that the outliers follow an unknown…

Computation · Statistics 2019-05-14 Bin Liu

We study two problems in high-dimensional robust statistics: \emph{robust mean estimation} and \emph{outlier detection}. In robust mean estimation the goal is to estimate the mean $\mu$ of a distribution on $\mathbb{R}^d$ given $n$…

Data Structures and Algorithms · Computer Science 2019-06-28 Yihe Dong , Samuel B. Hopkins , Jerry Li

This paper proposes an integrative approach to feature (input and output) selection in Data Envelopment Analysis (DEA). The DEA model is enriched with zero-one decision variables modelling the selection of features, yielding a Mixed Integer…

Optimization and Control · Mathematics 2020-03-02 Sandra Benítez-Peña , Peter Bogetoft , Dolores Romero Morales

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

Bayesian statistics emphasizes the importance of prior distributions, yet finding an appropriate one is practically challenging. When multiple sample results are taken regarding the frequency of the same event, these samples may be…

Methodology · Statistics 2024-11-27 Yu-Fu Shen

Recent advances in technology have brought major breakthroughs in data collection, enabling a large amount of data to be gathered over time and thus generating time series. Mining this data has become an important task for researchers and…

Machine Learning · Computer Science 2020-02-12 Ane Blázquez-García , Angel Conde , Usue Mori , Jose A. Lozano

Out-of-distribution (OOD) detection is essential for building reliable AI systems, as models that produce outputs for invalid inputs cannot be trusted. Although deep learning (DL) is often assumed to outperform traditional machine learning…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Jihyeon Baek , Seunghoon Lee , Gitaek Kwon , Doohyun Park

Out-of-distribution (OOD) detection is an indispensable aspect of secure AI when deploying machine learning models in real-world applications. Previous paradigms either explore better scoring functions or utilize the knowledge of outliers…

Machine Learning · Computer Science 2023-06-07 Jianing Zhu , Hengzhuang Li , Jiangchao Yao , Tongliang Liu , Jianliang Xu , Bo Han

This paper presents an automated approach for providing ranked lists of outliers in observed demand to support analysts in network revenue management. Such network revenue management, e.g. for railway itineraries, needs accurate demand…

Physics and Society · Physics 2023-02-27 Nicola Rennie , Catherine Cleophas , Adam M. Sykulski , Florian Dost

We develop and rigorously evaluate a deep learning based system that can accurately classify skin conditions while detecting rare conditions for which there is not enough data available for training a confident classifier. We frame this…

The process of particle picking, a crucial step in cryo-electron microscopy (cryo-EM) image analysis, often encounters challenges due to outliers, leading to inaccuracies in downstream processing. In response to this challenge, this…

Quantitative Methods · Quantitative Biology 2024-09-10 Lev Kapnulin , Ayelet Heimowitz , Nir Sharon

This paper considers the problem of recovering signals modeled by generative models from linear measurements contaminated with sparse outliers. We propose an outlier detection approach for reconstructing the ground-truth signals modeled by…

Machine Learning · Statistics 2023-10-17 Jirong Yi , Jingchao Gao , Tianming Wang , Xiaodong Wu , Weiyu Xu
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