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The singular value decomposition (SVD) is not only a classical theory in matrix computation and analysis, but also is a powerful tool in machine learning and modern data analysis. In this tutorial we first study the basic notion of SVD and…

机器学习 · 计算机科学 2015-10-30 Zhihua Zhang

Deep learning has been extensively employed as a powerful function approximator for modeling physics-based problems described by partial differential equations (PDEs). Despite their popularity, standard deep learning models often demand…

计算工程、金融与科学 · 计算机科学 2025-10-28 Jiachen Guo , Xiaoyu Xie , Chanwook Park , Hantao Zhang , Matthew Politis , Gino Domel , Thomas J. R. Hughes , Wing Kam Liu

Anomaly detection or outlier detection is a common task in various domains, which has attracted significant research efforts in recent years. Existing works mainly focus on structured data such as numerical or categorical data; however,…

计算与语言 · 计算机科学 2021-10-29 Zeyu You , Yichu Zhou , Tao Yang , Wei Fan

For open world applications, deep neural networks (DNNs) need to be aware of previously unseen data and adaptable to evolving environments. Furthermore, it is desirable to detect and learn novel classes which are not included in the DNNs…

计算机视觉与模式识别 · 计算机科学 2023-05-03 Svenja Uhlemeyer , Julian Lienen , Eyke Hüllermeier , Hanno Gottschalk

In the real world, out-of-distribution samples, noise and distortions exist in test data. Existing deep networks developed for point cloud data analysis are prone to overfitting and a partial change in test data leads to unpredictable…

计算机视觉与模式识别 · 计算机科学 2020-12-04 Morteza Ghahremani , Bernard Tiddeman , Yonghuai Liu , Ardhendu Behera

Semi-supervised video anomaly detection (VAD) methods formulate the task of anomaly detection as detection of deviations from the learned normal patterns. Previous works in the field (reconstruction or prediction-based methods) suffer from…

计算机视觉与模式识别 · 计算机科学 2022-05-05 Mohammad Baradaran , Robert Bergevin

Training of deep neural networks (DNNs) frequently involves optimizing several millions or even billions of parameters. Even with modern computing architectures, the computational expense of DNN training can inhibit, for instance, network…

机器学习 · 计算机科学 2020-06-26 Mauricio E. Tano , Gavin D. Portwood , Jean C. Ragusa

This thesis makes considerable contributions to the realm of machine learning, specifically in the context of open-world scenarios where systems face previously unseen data and contexts. Traditional machine learning models are usually…

机器学习 · 计算机科学 2023-10-11 Yiyou Sun

Unsupervised anomaly detection encompasses diverse applications in industrial settings where a high-throughput and precision is imperative. Early works were centered around one-class-one-model paradigm, which poses significant challenges in…

计算机视觉与模式识别 · 计算机科学 2024-05-13 Sushovan Jena , Vishwas Saini , Ujjwal Shaw , Pavitra Jain , Abhay Singh Raihal , Anoushka Banerjee , Sharad Joshi , Ananth Ganesh , Arnav Bhavsar

Recent advancements in weakly-supervised video anomaly detection have achieved remarkable performance by applying the multiple instance learning paradigm based on multimodal foundation models such as CLIP to highlight anomalous instances…

计算机视觉与模式识别 · 计算机科学 2025-11-14 Wenti Yin , Huaxin Zhang , Xiang Wang , Yuqing Lu , Yicheng Zhang , Bingquan Gong , Jialong Zuo , Li Yu , Changxin Gao , Nong Sang

In anomaly detection, a prominent task is to induce a model to identify anomalies learned solely based on normal data. Generally, one is interested in finding an anomaly detector that correctly identifies anomalies, i.e., data points that…

机器学习 · 计算机科学 2022-11-28 David Schubert , Pritha Gupta , Marcel Wever

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

One-class support vector machine (OC-SVM) for a long time has been one of the most effective anomaly detection methods and extensively adopted in both research as well as industrial applications. The biggest issue for OC-SVM is yet the…

机器学习 · 计算机科学 2018-10-16 Minh-Nghia Nguyen , Ngo Anh Vien

Singular value decomposition (SVD) has a crucial role in model order reduction. It is often utilized in the offline stage to compute basis functions that project the high-dimensional nonlinear problem into a low-dimensionsl model which is,…

数值分析 · 数学 2016-11-09 Alessandro Alla , J. Nathan Kutz

Dynamic Mode Decomposition (DMD) is a data based modeling tool that identifies a matrix to map a quantity at some time instant to the same quantity in future. We design a new version which we call Adaptive Dynamic Mode Decomposition (ADMD)…

信号处理 · 电气工程与系统科学 2020-12-16 Mohammad N. Murshed , M. Monir Uddin

Object detection is a pivotal task in computer vision that has received significant attention in previous years. Nonetheless, the capability of a detector to localise objects out of the training distribution remains unexplored. Whilst…

计算机视觉与模式识别 · 计算机科学 2024-07-23 Brian K. S. Isaac-Medina , Yona Falinie A. Gaus , Neelanjan Bhowmik , Toby P. Breckon

In this paper we study the problem of learning the weights of a deep convolutional neural network. We consider a network where convolutions are carried out over non-overlapping patches with a single kernel in each layer. We develop an…

机器学习 · 计算机科学 2018-05-18 Samet Oymak , Mahdi Soltanolkotabi

Distance-based methods involve the computation of distance values between features and are a well-established paradigm in machine learning. In anomaly detection, anomalies are identified by their large distance from normal data points.…

天体物理仪器与方法 · 物理学 2025-10-29 Siddharth Chaini , Federica B. Bianco , Ashish Mahabal

Unsupervised deep learning techniques are widely used to identify anomalous behaviour. The performance of such methods is a product of the amount of training data and the model size. However, the size is often a limiting factor for the…

The effective application of representation learning to real-world problems requires both techniques for learning useful representations, and also robust ways to evaluate properties of representations. Recent work in disentangled…

机器学习 · 计算机科学 2020-12-16 Salman Mohammadi , Anders Kirk Uhrenholt , Bjørn Sand Jensen