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Support vector data description (SVDD) is a machine learning technique that is used for single-class classification and outlier detection. The idea of SVDD is to find a set of support vectors that defines a boundary around data. When…

Machine Learning · Statistics 2018-11-05 Hansi Jiang , Haoyu Wang , Wenhao Hu , Deovrat Kakde , Arin Chaudhuri

Support Vector Data Description (SVDD) is a machine learning technique used for single class classification and outlier detection. SVDD based K-chart was first introduced by Sun and Tsung for monitoring multivariate processes when…

Machine Learning · Computer Science 2018-07-23 Deovrat Kakde , Sergriy Peredriy , Arin Chaudhuri , Anya Mcguirk

In many applications, input data are sampled functions taking their values in infinite dimensional spaces rather than standard vectors. This fact has complex consequences on data analysis algorithms that motivate modifications of them. In…

Statistics Theory · Mathematics 2007-05-23 Fabrice Rossi , Nathalie Villa

Applications such as face recognition that deal with high-dimensional data need a mapping technique that introduces representation of low-dimensional features with enhanced discriminatory power and a proper classifier, able to classify…

Computer Vision and Pattern Recognition · Computer Science 2008-12-16 Seyyed Majid Valiollahzadeh , Abolghasem Sayadiyan , Mohammad Nazari

The singular value decomposition (SVD) is a crucial tool in machine learning and statistical data analysis. However, it is highly susceptible to outliers in the data matrix. Existing robust SVD algorithms often sacrifice speed for…

Machine Learning · Statistics 2024-02-16 Sangil Han , Kyoowon Kim , Sungkyu Jung

Support Vector Machines are a widely used classification technique. They are computationally efficient and provide excellent predictions even for high-dimensional data. Moreover, Support Vector Machines are very flexible due to the…

Applications · Statistics 2010-09-30 Michiel Debruyne

Support Vector Data Description (SVDD) is a popular outlier detection technique which constructs a flexible description of the input data. SVDD computation time is high for large training datasets which limits its use in big-data…

Machine Learning · Computer Science 2018-11-02 Arin Chaudhuri , Deovrat Kakde , Maria Jahja , Wei Xiao , Hansi Jiang , Seunghyun Kong , Sergiy Peredriy

In this paper we present a new approach of incorporating kernels into dictionary learning. The kernel K-SVD algorithm (KKSVD), which has been introduced recently, shows an improvement in classification performance, with relation to its…

Computer Vision and Pattern Recognition · Computer Science 2016-05-25 Alona Golts , Michael Elad

A novel kernel-based support vector machine (SVM) for graph classification is proposed. The SVM feature space mapping consists of a sequence of graph convolutional layers, which generates a vector space representation for each vertex,…

Machine Learning · Computer Science 2020-08-05 Padraig Corcoran

Stein variational gradient descent (SVGD) and its variants have shown promising successes in approximate inference for complex distributions. In practice, we notice that the kernel used in SVGD-based methods has a decisive effect on the…

Machine Learning · Computer Science 2022-11-29 Qingzhong Ai , Shiyu Liu , Lirong He , Zenglin Xu

This paper presents a Multiple Kernel Learning (abbreviated as MKL) framework for the Support Vector Machine (SVM) with the $(0, 1)$ loss function. Some KKT-like first-order optimality conditions are provided and then exploited to develop a…

Machine Learning · Statistics 2023-09-06 Bin Zhu , Yijie Shi

Support Vector Machines (SVMs) with various kernels have played dominant role in machine learning for many years, finding numerous applications. Although they have many attractive features interpretation of their solutions is quite…

Machine Learning · Computer Science 2019-01-29 Tomasz Maszczyk , Włodzisław Duch

We address the problem of data-driven pattern identification and outlier detection in time series. To this end, we use singular value decomposition (SVD) which is a well-known technique to compute a low-rank approximation for an arbitrary…

Methodology · Statistics 2019-03-12 Abdolrahman Khoshrou , Eric J. Pauwels

We present a novel mathematical optimization framework for outlier detection in multimodal datasets, extending Support Vector Data Description approaches. We provide a primal formulation, in the shape of a Mixed Integer Second Order Cone…

Optimization and Control · Mathematics 2025-07-16 Víctor Blanco , Inmaculada Espejo , Raúl Páez , Antonio M. Rodríguez-Chía

Support vector machine (SVM), is a popular kernel method for data classification that demonstrated its efficiency for a large range of practical applications. The method suffers, however, from some weaknesses including; time processing,…

Machine Learning · Computer Science 2023-08-23 Lakhdar Remaki

This work presents an approach for automating the discretization and approximation procedures in constructing digital representations of composites from Micro-CT images featuring intricate microstructures. The proposed method is guided by…

Machine Learning · Computer Science 2025-09-11 Yanran Wang , Jonghyuk Baek , Yichun Tang , Jing Du , Mike Hillman , J. S. Chen

One of the key problems in 3D object detection is to reduce the accuracy gap between methods based on LiDAR sensors and those based on monocular cameras. A recently proposed framework for monocular 3D detection based on Pseudo-Stereo has…

Computer Vision and Pattern Recognition · Computer Science 2023-07-06 Yuguang Shi

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,…

Computation and Language · Computer Science 2021-10-29 Zeyu You , Yichu Zhou , Tao Yang , Wei Fan

Recently researchers have been shifting their focus towards learned 3D shape descriptors from hand-craft ones to better address challenging issues of the deformation and structural variation inherently present in 3D objects. 3D geometric…

Computer Vision and Pattern Recognition · Computer Science 2017-11-29 Mengwei Ren , Liang Niu , Yi Fang

In the recent past, automatic selection or combination of kernels (or features) based on multiple kernel learning (MKL) approaches has been receiving significant attention from various research communities. Though MKL has been extensively…

Computer Vision and Pattern Recognition · Computer Science 2014-10-20 Raviteja Vemulapalli , Vinay Praneeth Boda , Rama Chellappa
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