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In this paper, an unsupervised Recurrent Wavelet Probabilistic Neural Network (RWPNN) is proposed, which aims at detecting anomalies in non-stationary environments by modelling the temporal features using a nonparametric density estimation…

机器学习 · 计算机科学 2025-05-19 Pu Yang , J. A. Barria

The t-SVD based Tensor Robust Principal Component Analysis (TRPCA) decomposes low rank multi-linear signal corrupted by gross errors into low multi-rank and sparse component by simultaneously minimizing tensor nuclear norm and l 1 norm. But…

计算机视觉与模式识别 · 计算机科学 2017-07-11 M. Baburaj , Sudhish N. George

We propose an anomaly detection method for multi-variate scientific data based on analysis of high-order joint moments. Using kurtosis as a reliable measure of outliers, we suggest that principal kurtosis vectors, by analogy to principal…

Identifying safety-critical scenarios is essential for autonomous driving, but the rarity of such events makes supervised labeling impractical. Traditional rule-based metrics like Time-to-Collision are too simplistic to capture complex…

机器学习 · 计算机科学 2026-01-29 Qing Lyu , Zhe Fu , Alexandre Bayen

In recent work, robust Principal Components Analysis (PCA) has been posed as a problem of recovering a low-rank matrix $\mathbf{L}$ and a sparse matrix $\mathbf{S}$ from their sum, $\mathbf{M}:= \mathbf{L} + \mathbf{S}$ and a provably exact…

信息论 · 计算机科学 2023-07-19 Jinchun Zhan , Namrata Vaswani

Complex networks have now become integral parts of modern information infrastructures. This paper proposes a user-centric method for detecting anomalies in heterogeneous information networks, in which nodes and/or edges might be from…

社会与信息网络 · 计算机科学 2018-10-22 Vahid Ranjbar , Mostafa Salehi , Pegah Jandaghi , Mahdi Jalili

Accurate spatial-temporal traffic flow forecasting is essential for helping traffic managers to take control measures and drivers to choose the optimal travel routes. Recently, graph convolutional networks (GCNs) have been widely used in…

机器学习 · 计算机科学 2022-12-13 Qin Li , Xuan Yang , Yong Wang , Yuankai Wu , Deqiang He

Detecting anomalous edges in dynamic graphs is an important task in many applications over evolving triple-based data, such as social networks, transaction management, and epidemiology. A major challenge with this task is the absence of…

机器学习 · 计算机科学 2025-05-14 Chang Zong , Yueting Zhuang , Jian Shao , Weiming Lu

A cornerstone of the smart grid is the advanced monitorability on its assets and operations. Increasingly pervasive installation of the phasor measurement units (PMUs) allows the so-called synchrophasor measurements to be taken roughly 100…

应用统计 · 统计学 2017-08-17 Robert Qiu , Lei Chu , Xing He , Zenan Ling , Haichun Liu

Principal component analysis (PCA) is known to be sensitive to outliers, so that various robust PCA variants were proposed in the literature. A recent model, called REAPER, aims to find the principal components by solving a convex…

数值分析 · 数学 2021-03-19 Robert Beinert , Gabriele Steidl

This paper proposes a probabilistic neural network developed on the basis of time-series discriminant component analysis (TSDCA) that can be used to classify high-dimensional time-series patterns. TSDCA involves the compression of…

机器学习 · 计算机科学 2019-11-15 Hideaki Hayashi , Taro Shibanoki , Keisuke Shima , Yuichi Kurita , Toshio Tsuji

Principal components analysis (PCA) is the optimal linear auto-encoder of data, and it is often used to construct features. Enforcing sparsity on the principal components can promote better generalization, while improving the…

机器学习 · 计算机科学 2015-02-25 Malik Magdon-Ismail , Christos Boutsidis

Hacking and false data injection from adversaries can threaten power grids' everyday operations and cause significant economic loss. Anomaly detection in power grids aims to detect and discriminate anomalies caused by cyber attacks against…

机器学习 · 计算机科学 2023-03-14 Xijuan Sun , Di Wu , Arnaud Zinflou , Benoit Boulet

Anomaly detection in graph-structured data is an inherently challenging problem, as it requires the identification of rare nodes that deviate from the majority in both their structural and behavioral characteristics. Existing methods, such…

机器学习 · 计算机科学 2025-09-16 Mingkang Li , Xuexiong Luo , Yue Zhang , Yaoyang Li , Fu Lin

In the past decades, exactly recovering the intrinsic data structure from corrupted observations, which is known as robust principal component analysis (RPCA), has attracted tremendous interests and found many applications in computer…

数值分析 · 计算机科学 2012-05-08 Risheng Liu , Zhouchen Lin , Siming Wei , Zhixun Su

In probabilistic principal component analysis (PPCA), an observed vector is modeled as a linear transformation of a low-dimensional Gaussian factor plus isotropic noise. We generalize PPCA to tensors by constraining the loading operator to…

统计理论 · 数学 2025-10-23 Yaoming Zhen , Piotr Zwiernik

Principal Component Analysis (PCA) has been widely used for dimensionality reduction and feature extraction. Robust PCA (RPCA), under different robust distance metrics, such as l1-norm and l2, p-norm, can deal with noise or outliers to some…

机器学习 · 计算机科学 2021-06-29 Zhao Kang , Hongfei Liu , Jiangxin Li , Xiaofeng Zhu , Ling Tian

Traffic Management Centers (TMCs) routinely use traffic cameras to provide situational awareness regarding traffic, road, and weather conditions. Camera footage is quite useful for a variety of diagnostic purposes; yet, most footage is kept…

计算机视觉与模式识别 · 计算机科学 2019-05-20 Jeffrey Liu , Andrew Weinert , Saurabh Amin

Modern empirical analysis often relies on high-dimensional panel datasets with non-negligible cross-sectional and time-series correlations. Factor models are natural for capturing such dependencies. A tensor factor model describes the…

计量经济学 · 经济学 2025-03-10 Andrii Babii , Eric Ghysels , Junsu Pan

Robust anomaly detection is a requirement for monitoring complex modern systems with applications such as cyber-security, fraud prevention, and maintenance. These systems generate multiple correlated time series that are highly seasonal and…

机器学习 · 计算机科学 2019-11-19 Farzaneh Khoshnevisan , Zhewen Fan
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