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Tensor robust principal component analysis (TRPCA) has received a substantial amount of attention in various fields. Most existing methods, normally relying on tensor nuclear norm minimization, need to pay an expensive computational cost…

数值分析 · 计算机科学 2017-12-29 Jonathan Q. Jiang , Michael K. Ng

Tensors naturally model many real world processes which generate multi-aspect data. Such processes appear in many different research disciplines, e.g, chemometrics, computer vision, psychometrics and neuroimaging analysis. Tensor…

数据结构与算法 · 计算机科学 2009-09-29 Charalampos E. Tsourakakis

This paper explores the utility of diffusion-based models for anomaly detection, focusing on their efficacy in identifying deviations in both compact and high-resolution datasets. Diffusion-based architectures, including Denoising Diffusion…

机器学习 · 计算机科学 2024-12-11 Aryan Bhosale , Samrat Mukherjee , Biplab Banerjee , Fabio Cuzzolin

Robust tensor CP decomposition involves decomposing a tensor into low rank and sparse components. We propose a novel non-convex iterative algorithm with guaranteed recovery. It alternates between low-rank CP decomposition through gradient…

机器学习 · 计算机科学 2016-04-28 Animashree Anandkumar , Prateek Jain , Yang Shi , U. N. Niranjan

Due to the rare occurrence of anomalous events, a typical approach to anomaly detection is to train an autoencoder (AE) with normal data only so that it learns the patterns or representations of the normal training data. At test time, the…

机器学习 · 计算机科学 2024-05-20 Marcella Astrid , Muhammad Zaigham Zaheer , Djamila Aouada , Seung-Ik Lee

By now, most outlier-detection algorithms struggle to accurately detect both point anomalies and cluster anomalies simultaneously. Furthermore, a few K-nearest-neighbor-based anomaly-detection methods exhibit excellent performance on many…

信息论 · 计算机科学 2025-06-06 Kaituo Zhang , Wei Huang , Bingyang Zhang , Jinshan Xu , Xuhua Yang

Low rank tensor decompositions are a powerful tool for learning generative models, and uniqueness results give them a significant advantage over matrix decomposition methods. However, tensors pose significant algorithmic challenges and…

数据结构与算法 · 计算机科学 2014-01-21 Aditya Bhaskara , Moses Charikar , Ankur Moitra , Aravindan Vijayaraghavan

The increasing automation in many areas of the Industry expressly demands to design efficient machine-learning solutions for the detection of abnormal events. With the ubiquitous deployment of sensors monitoring nearly continuously the…

Many problems in computational neuroscience, neuroinformatics, pattern/image recognition, signal processing and machine learning generate massive amounts of multidimensional data with multiple aspects and high dimensionality. Tensors (i.e.,…

新兴技术 · 计算机科学 2014-08-26 Andrzej Cichocki

Most currently used tensor regression models for high-dimensional data are based on Tucker decomposition, which has good properties but loses its efficiency in compressing tensors very quickly as the order of tensors increases, say greater…

统计方法学 · 统计学 2024-03-20 Yuefeng Si , Yingying Zhang , Yuxi Cai , Chunling Liu , Guodong Li

Tensors, which provide a powerful and flexible model for representing multi-attribute data and multi-way interactions, play an indispensable role in modern data science across various fields in science and engineering. A fundamental task is…

机器学习 · 计算机科学 2022-06-23 Tian Tong , Cong Ma , Ashley Prater-Bennette , Erin Tripp , Yuejie Chi

This paper introduces a novel anomaly detection framework that combines the robust statistical principles of density-estimation-based anomaly detection methods with the representation-learning capabilities of deep learning models. The…

机器学习 · 计算机科学 2024-08-15 Joseph Gallego-Mejia , Oscar Bustos-Brinez , Fabio A. González

In this paper, we focus on the development of a method that detects abnormal trajectories of road users at traffic intersections. The main difficulty with this is the fact that there are very few abnormal data and the normal ones are…

计算机视觉与模式识别 · 计算机科学 2018-09-05 Pankaj Raj Roy , Guillaume-Alexandre Bilodeau

Low rank tensor representation (LRTR) methods are very useful for hyperspectral anomaly detection (HAD). To overcome the limitations that they often overlook spectral anomaly and rely on large-scale matrix singular value decomposition, we…

计算机视觉与模式识别 · 计算机科学 2025-03-10 Quan Yu , Yu-Hong Dai , Minru Bai

The detection of the abnormal area from urban data is a significant research problem. However, to the best of our knowledge, previous methods designed on spatio-temporal anomalies are road-based or grid-based, which usually causes the data…

社会与信息网络 · 计算机科学 2020-07-16 Huaishao Luo , Chuishi Meng , Bowen Wu , Junbo Zhang , Tianrui Li , Yu Zheng

Detecting anomalies for dynamic graphs has drawn increasing attention due to their wide applications in social networks, e-commerce, and cybersecurity. Recent deep learning-based approaches have shown promising results over shallow methods.…

机器学习 · 计算机科学 2021-10-29 Yixin Liu , Shirui Pan , Yu Guang Wang , Fei Xiong , Liang Wang , Qingfeng Chen , Vincent CS Lee

Over the past decades, the increasing dimensionality of data has increased the need for effective data decomposition methods. Existing approaches, however, often rely on linear models or lack sufficient interpretability or flexibility. To…

统计方法学 · 统计学 2026-03-24 Jiaji Su , Zhigang Yao

Robust tensor recovery plays an instrumental role in robustifying tensor decompositions for multilinear data analysis against outliers, gross corruptions and missing values and has a diverse array of applications. In this paper, we study…

机器学习 · 统计学 2014-08-26 Donald Goldfarb , Zhiwei Qin

Higher-order tensors are becoming prevalent in many scientific areas such as computer vision, social network analysis, data mining and neuroscience. Traditional tensor decomposition approaches face three major challenges: model selecting,…

数值分析 · 计算机科学 2014-07-08 Fanhua Shang , Yuanyuan Liu , James Cheng

At the crossway of machine learning and data analysis, anomaly detection aims at identifying observations that exhibit abnormal behaviour. Be it measurement errors, disease development, severe weather, production quality default(s) (items)…

统计方法学 · 统计学 2025-06-06 Romain Valla , Pavlo Mozharovskyi , Florence d'Alché-Buc