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Hierarchical support vector regression (HSVR) models a function from data as a linear combination of SVR models at a range of scales, starting at a coarse scale and moving to finer scales as the hierarchy continues. In the original…

Machine Learning · Computer Science 2021-02-03 Ryan Mohr , Maria Fonoberova , Zlatko Drmač , Iva Manojlović , Igor Mezić

Support Vector Machine (SVM) stands out as a prominent machine learning technique widely applied in practical pattern recognition tasks. It achieves binary classification by maximizing the "margin", which represents the minimum distance…

Machine Learning · Computer Science 2026-01-21 Zhezheng Hao , Feiping Nie , Rong Wang

Support vector machine algorithms are considered essential for the implementation of automation in a radio access network. Specifically, they are critical in the prediction of the quality of user experience for video streaming based on…

Emerging Technologies · Computer Science 2019-09-27 Jiaying Yang , Ahsan Javed Awan , Gemma Vall-Llosera

Least squares support vector machines are a commonly used supervised learning method for nonlinear regression and classification. They can be implemented in either their primal or dual form. The latter requires solving a linear system,…

Machine Learning · Computer Science 2021-10-27 Maximilian Lucassen , Johan A. K. Suykens , Kim Batselier

As one of the most popular classifiers, linear SVMs still have challenges in dealing with very large-scale problems, even though linear or sub-linear algorithms have been developed recently on single machines. Parallel computing methods…

Machine Learning · Computer Science 2015-12-25 Hugh Perkins , Minjie Xu , Jun Zhu , Bo Zhang

We propose a novel criterion for support vector machine learning: maximizing the margin in the input space, not in the feature (Hilbert) space. This criterion is a discriminative version of the principal curve proposed by Hastie et al. The…

Artificial Intelligence · Computer Science 2007-05-23 Shotaro Akaho

One of the limiting factors of using support vector machines (SVMs) in large scale applications are their super-linear computational requirements in terms of the number of training samples. To address this issue, several approaches that…

Machine Learning · Statistics 2015-07-24 Mona Eberts , Ingo Steinwart

Support matrix machine (SMM) is a successful supervised classification model for matrix-type samples. Unlike support vector machines, it employs low-rank regularization on the regression matrix to effectively capture the intrinsic structure…

Optimization and Control · Mathematics 2024-12-12 Can Wu , Dong-Hui Li , Defeng Sun

We propose a new convex loss for Support Vector Machines, both for the binary classification and for the regression models. Therefore, we show the mathematical derivation of the dual problems and we experiment with them on several small…

Machine Learning · Computer Science 2026-03-02 Filippo Portera

Support vector machines represent a promising development in machine learning research that is not widely used within the remote sensing community. This paper reports the results of Multispectral(Landsat-7 ETM+) and Hyperspectral DAIS)data…

Neural and Evolutionary Computing · Computer Science 2009-11-13 Mahesh Pal , Paul M. Mather

Support vector machines (SVMs) are successful modeling and prediction tools with a variety of applications. Previous work has demonstrated the superiority of the SVMs in dealing with the high dimensional, low sample size problems. However,…

Optimization and Control · Mathematics 2021-02-04 Dunbiao Niu , Chengjing Wang , Peipei Tang , Qingsong Wang , Enbin Song

Support vector machine (SVM) has been one of the most popular learning algorithms, with the central idea of maximizing the minimum margin, i.e., the smallest distance from the instances to the classification boundary. Recent theoretical…

Machine Learning · Computer Science 2020-07-07 Teng Zhang , Zhi-Hua Zhou

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

In conventional prediction tasks, a machine learning algorithm outputs a single best model that globally optimizes its objective function, which typically is accuracy. Therefore, users cannot access the other models explicitly. In contrast…

Machine Learning · Computer Science 2019-06-06 Kentaro Kanamori , Satoshi Hara , Masakazu Ishihata , Hiroki Arimura

Gaussian process latent variable models (GPLVMs) are a versatile family of unsupervised learning models commonly used for dimensionality reduction. However, common challenges in modeling data with GPLVMs include inadequate kernel…

Machine Learning · Statistics 2024-06-19 Ying Li , Zhidi Lin , Feng Yin , Michael Minyi Zhang

Support Vector Machine (SVM) algorithm requires a high computational cost (both in memory and time) to solve a complex quadratic programming (QP) optimization problem during the training process. Consequently, SVM necessitates high…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-28 Islam Elgarhy

Classification is one of the main areas of pattern recognition research, and within it, Support Vector Machine (SVM) is one of the most popular methods outside of field of deep learning -- and a de-facto reference for many Machine Learning…

Machine Learning · Computer Science 2024-02-23 Michał Cholewa , Michał Romaszewski , Przemysław Głomb

A main goal of regression is to derive statistical conclusions on the conditional distribution of the output variable Y given the input values x. Two of the most important characteristics of a single distribution are location and scale.…

Machine Learning · Statistics 2011-11-09 Robert Hable , Andreas Christmann

Nonparametric regression subject to convexity or concavity constraints is increasingly popular in economics, finance, operations research, machine learning, and statistics. However, the conventional convex regression based on the least…

Methodology · Statistics 2022-09-27 Zhiqiang Liao , Sheng Dai , Timo Kuosmanen

The selection of Gaussian kernel parameters plays an important role in the applications of support vector classification (SVC). A commonly used method is the k-fold cross validation with grid search (CV), which is extremely time-consuming…

Machine Learning · Computer Science 2025-01-22 Linkai Luo , Qiaoling Yang , Hong Peng , Yiding Wang , Ziyang Chen
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