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The task of detecting anomalous data patterns is as important in practical applications as challenging. In the context of spatial data, recognition of unexpected trajectories brings additional difficulties, such as high dimensionality and…

Diffusion models (DMs) have emerged as a powerful class of generative AI models, showing remarkable potential in anomaly detection (AD) tasks across various domains, such as cybersecurity, fraud detection, healthcare, and manufacturing. The…

Machine Learning · Computer Science 2025-02-28 Jing Liu , Zhenchao Ma , Zepu Wang , Chenxuanyin Zou , Jiayang Ren , Zehua Wang , Liang Song , Bo Hu , Yang Liu , Victor C. M. Leung

Modern datasets are characterized by a large number of features that may conceal complex dependency structures. To deal with this type of data, dimensionality reduction techniques are essential. Numerous dimensionality reduction methods…

Methodology · Statistics 2021-06-02 Francesco Denti , Diego Doimo , Alessandro Laio , Antonietta Mira

Semi-supervised anomaly detection aims to detect anomalies from normal samples using a model that is trained on normal data. With recent advancements in deep learning, researchers have designed efficient deep anomaly detection methods.…

Machine Learning · Computer Science 2024-01-23 Hadi Hojjati , Narges Armanfard

Deep learning models frequently make incorrect predictions with high confidence when presented with test examples that are not well represented in their training dataset. We propose a novel and straightforward approach to estimate…

Machine Learning · Computer Science 2019-10-04 Tiago Ramalho , Miguel Miranda

Out-of-distribution (OOD) detection and lossless compression constitute two problems that can be solved by the training of probabilistic models on a first dataset with subsequent likelihood evaluation on a second dataset, where data…

Computer Vision and Pattern Recognition · Computer Science 2021-12-13 Mingtian Zhang , Andi Zhang , Steven McDonagh

The ratio between two probability density functions is an important component of various tasks, including selection bias correction, novelty detection and classification. Recently, several estimators of this ratio have been proposed. Most…

Methodology · Statistics 2014-04-30 Rafael Izbicki , Ann B. Lee , Chad M. Schafer

Anomaly detection is referred to as a process in which the aim is to detect data points that follow a different pattern from the majority of data points. Anomaly detection methods suffer from several well-known challenges that hinder their…

Machine Learning · Computer Science 2021-08-31 Kasra Babaei , Zhi Yuan Chen , Tomas Maul

Anomaly detection methods are widely used but often rely on ad hoc rules or strong assumptions, and they often focus on tail events, missing ``inlier'' anomalies that occur in low-density gaps between modes. We propose a unified framework…

Methodology · Statistics 2026-03-11 Rob J Hyndman , David T. Frazier

In NMR spectroscopy, undersampling in the indirect dimensions causes reconstruction artifacts whose size can be bounded using the so-called {\it coherence}. In experiments with multiple indirect dimensions, new undersampling approaches were…

Applications · Statistics 2017-02-08 Hatef Monajemi , David L. Donoho , Jeffrey C. Hoch , Adam D. Schuyler

Generative models, such as Generative Adversarial Networks (GANs), have been used for unsupervised anomaly detection. While performance keeps improving, several limitations exist particularly attributed to difficulties at capturing…

Machine Learning · Computer Science 2022-02-03 Nikolaos Dionelis , Mehrdad Yaghoobi , Sotirios A. Tsaftaris

Anomaly detection suffered from the lack of anomalies due to the diversity of abnormalities and the difficulties of obtaining large-scale anomaly data. Semi-supervised anomaly detection methods are often used to solely leverage normal data…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Jian Shi , Ni Zhang

Hyperspectral anomaly detection (HAD) involves identifying the targets that deviate spectrally from their surroundings, without prior knowledge. Recently, deep learning based methods have become the mainstream HAD methods, due to their…

Computer Vision and Pattern Recognition · Computer Science 2024-04-22 Jingtao Li , Xinyu Wang , Shaoyu Wang , Hengwei Zhao , Liangpei Zhang , Yanfei Zhong

Distribution estimation under local differential privacy (LDP) is a fundamental and challenging task. Significant progresses have been made on categorical data. However, due to different evaluation metrics, these methods do not work well…

Machine Learning · Computer Science 2025-09-25 Puning Zhao , Zhikun Zhang , Bo Sun , Li Shen , Liang Zhang , Shaowei Wang , Zhe Liu

It has long been thought that high-dimensional data encountered in many practical machine learning tasks have low-dimensional structure, i.e., the manifold hypothesis holds. A natural question, thus, is to estimate the intrinsic dimension…

Machine Learning · Statistics 2022-06-01 Adam Block , Zeyu Jia , Yury Polyanskiy , Alexander Rakhlin

Out-of-distribution (OOD) detection lies at the heart of robust artificial intelligence (AI), aiming to identify samples from novel distributions beyond the training set. Recent approaches have exploited feature representations as…

Machine Learning · Computer Science 2025-08-06 Tarhib Al Azad , Faizul Rakib Sayem , Shahana Ibrahim

Detecting out of distribution (OOD) samples is of paramount importance in all Machine Learning applications. Deep generative modeling has emerged as a dominant paradigm to model complex data distributions without labels. However, prior work…

Machine Learning · Computer Science 2021-01-05 Gowthami Somepalli , Yexin Wu , Yogesh Balaji , Bhanukiran Vinzamuri , Soheil Feizi

Deep learning (DL) models, despite their remarkable success, remain vulnerable to small input perturbations that can cause erroneous outputs, motivating the recent proposal of probabilistic robustness (PR) as a complementary alternative to…

Computer Vision and Pattern Recognition · Computer Science 2025-11-24 Zheng Wang , Yi Zhang , Siddartha Khastgir , Carsten Maple , Xingyu Zhao

Discriminative neural networks offer little or no performance guarantees when deployed on data not generated by the same process as the training distribution. On such out-of-distribution (OOD) inputs, the prediction may not only be…

The vertex-random graphs called proximity catch digraphs (PCDs) have been introduced recently and have applications in pattern recognition and spatial pattern analysis. A PCD is a random directed graph (i.e., digraph) which is constructed…

Probability · Mathematics 2014-05-29 Elvan Ceyhan