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Support Vector Data Description (SVDD) provides a useful approach to construct a description of multivariate data for single-class classification and outlier detection with various practical applications. Gaussian kernel used in SVDD…

Machine Learning · Computer Science 2018-11-02 Sergiy Peredriy , Deovrat Kakde , Arin Chaudhuri

Support vector data description (SVDD) is a popular technique for detecting anomalies. The SVDD classifier partitions the whole space into an inlier region, which consists of the region near the training data, and an outlier region, which…

Machine Learning · Computer Science 2018-07-23 Arin Chaudhuri , Deovrat Kakde , Carol Sadek , Laura Gonzalez , Seunghyun Kong

Support vector data description (SVDD) is a popular anomaly detection technique. The SVDD classifier partitions the whole data space into an inlier region, which consists of the region near the training data, and an outlier region, which…

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

This paper presents a method for hyperspectral image classification that uses support vector data description (SVDD) with the Gaussian kernel function. SVDD has been a popular machine learning technique for single-class classification, but…

Applications · Statistics 2019-04-08 Yuwei Liao , Deovrat Kakde , Arin Chaudhuri , Hansi Jiang , Carol Sadek , Seunghyun Kong

The parameters of support vector machines (SVMs) such as the penalty parameter and the kernel parameters have a great impact on the classification accuracy and the complexity of the SVM model. Therefore, the model selection in SVM involves…

Machine Learning · Computer Science 2020-07-13 Alaa Tharwat

Radial Basis Function (RBF), or Gaussian, kernels are among the most widely used parametric kernels in machine learning, particularly in methods such as Support Vector Machines (SVM) and kernel-based subspace approaches. The kernel…

General Mathematics · Mathematics 2026-04-03 Lakhdar Remaki

We derive improved regression and classification rates for support vector machines using Gaussian kernels under the assumption that the data has some low-dimensional intrinsic structure that is described by the box-counting dimension. Under…

Statistics Theory · Mathematics 2021-04-08 Thomas Hamm , Ingo Steinwart

A central challenge in Bayesian inference is efficiently approximating posterior distributions. Stein Variational Gradient Descent (SVGD) is a popular variational inference method which transports a set of particles to approximate a target…

Machine Learning · Statistics 2025-12-05 Moritz Melcher , Simon Weissmann , Ashia C. Wilson , Jakob Zech

The present paper proposes generalized Gaussian kernel adaptive filtering, where the kernel parameters are adaptive and data-driven. The Gaussian kernel is parametrized by a center vector and a symmetric positive definite (SPD) precision…

Machine Learning · Computer Science 2021-05-20 Tomoya Wada , Kosuke Fukumori , Toshihisa Tanaka , Simone Fiori

Most machine learning methods require tuning of hyper-parameters. For kernel ridge regression with the Gaussian kernel, the hyper-parameter is the bandwidth. The bandwidth specifies the length scale of the kernel and has to be carefully…

Machine Learning · Statistics 2023-12-04 Oskar Allerbo , Rebecka Jörnsten

This paper aims at refined error analysis for binary classification using support vector machine (SVM) with Gaussian kernel and convex loss. Our first result shows that for some loss functions such as the truncated quadratic loss and…

Machine Learning · Computer Science 2017-10-06 Shao-Bo Lin , Jinshan Zeng , Xiangyu Chang

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

We propose a probabilistic enhancement of standard kernel Support Vector Machines for binary classification, in order to address the case when, along with given data sets, a description of uncertainty (e.g., error bounds) may be available…

Machine Learning · Computer Science 2020-03-19 Yongxin Chen , Tryphon T. Georgiou , Allen R. Tannenbaum

This paper discusses a special kind of a simple yet possibly powerful algorithm, called single-kernel Gradraker (SKG), which is an adaptive learning method predicting unknown nodal values in a network using known nodal values and the…

Signal Processing · Electrical Eng. & Systems 2022-04-28 Yue Zhao , Ender Ayanoglu

The support vector machine (SVM) and minimum Euclidean norm least squares regression are two fundamentally different approaches to fitting linear models, but they have recently been connected in models for very high-dimensional data through…

Machine Learning · Computer Science 2021-10-28 Navid Ardeshir , Clayton Sanford , Daniel Hsu

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

Support Vector Data Description (SVDD) is a popular one-class classifiers for anomaly and novelty detection. But despite its effectiveness, SVDD does not scale well with data size. To avoid prohibitive training times, sampling methods…

Machine Learning · Computer Science 2020-09-30 Adrian Englhardt , Holger Trittenbach , Daniel Kottke , Bernhard Sick , Klemens Böhm

This paper presents a novel and uniform algorithm for edge detection based on SVM (support vector machine) with Three-dimensional Gaussian radial basis function with kernel. Because of disadvantages in traditional edge detection such as…

Computer Vision and Pattern Recognition · Computer Science 2017-10-10 Safar Irandoust-Pakchin , Aydin Ayanzadeh , Siamak Beikzadeh

Anomaly detection is a critical problem in data analysis and pattern recognition, finding applications in various domains. We introduce quantum support vector data description (QSVDD), an unsupervised learning algorithm designed for anomaly…

Quantum Physics · Physics 2024-09-19 Hyeondo Oh , Daniel K. Park
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