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Support Vector Machine (SVM) is a state-of-the-art classification method widely used in science and engineering due to its high accuracy, its ability to deal with high dimensional data, and its flexibility in modeling diverse sources of…

Machine Learning · Computer Science 2024-09-30 Xingfu Wu , Tupendra Oli , Justin H. Qian , Valerie Taylor , Mark C. Hersam , Vinod K. Sangwan

We review the concept of Support Vector Machines (SVMs) and discuss examples of their use in a number of scenarios. Several SVM implementations have been used in HEP and we exemplify this algorithm using the Toolkit for Multivariate…

Data Analysis, Statistics and Probability · Physics 2017-12-06 Adrian Bevan , Rodrigo Gamboa Goñi , Jon Hays , Tom Stevenson

We introduce an advanced, swift pattern recognition strategy for various multiple robotics during curve negotiation. This method, leveraging a sophisticated k-means clustering-enhanced Support Vector Machine algorithm, distinctly…

Robotics · Computer Science 2024-05-07 Rui Liu , Xuanzhen Xu , Yuwei Shen , Armando Zhu , Chang Yu , Tianjian Chen , Ye Zhang

This paper studies $\ell_1$ regularization with high-dimensional features for support vector machines with a built-in reject option (meaning that the decision of classifying an observation can be withheld at a cost lower than that of…

Statistics Theory · Mathematics 2012-01-06 Marten Wegkamp , Ming Yuan

Band selection is a great challenging task in the classification of hyperspectral remotely sensed images HSI. This is resulting from its high spectral resolution, the many class outputs and the limited number of training samples. For this…

Computer Vision and Pattern Recognition · Computer Science 2022-10-28 Hasna Nhaila , Asma Elmaizi , Elkebir Sarhrouni , Ahmed Hammouch

This paper considers convex quadratic programs associated with the training of support vector machines (SVM). Exploiting the special structure of the SVM problem a new type of active set method with long cycles and stable rank-one-updates…

Optimization and Control · Mathematics 2025-04-09 Florian Jarre

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

The support vector machine (SVM) is a powerful and widely used classification algorithm. This paper uses the Karush-Kuhn-Tucker conditions to provide rigorous mathematical proof for new insights into the behavior of SVM. These insights…

Machine Learning · Statistics 2018-10-11 Iain Carmichael , J. S. Marron

The training of Support Vector Machines may be a very difficult task when dealing with very large datasets. The memory requirement and the time consumption of the SVMs algorithms grow rapidly with the increase of the data. To overcome these…

Optimization and Control · Mathematics 2015-11-04 Andrea Manno , Laura Palagi , Simone Sagratella

Objective: Brain networks have gained increasing recognition as potential biomarkers in mental health studies, but there are limited approaches that can leverage complex brain networks for accurate classification. Our goal is to develop a…

Methodology · Statistics 2022-05-25 Jin Ming , Suprateek Kundu

The computational complexity of solving nonlinear support vector machine (SVM) is prohibitive on large-scale data. In particular, this issue becomes very sensitive when the data represents additional difficulties such as highly imbalanced…

Machine Learning · Computer Science 2019-04-09 E. Sadrfaridpour , T. Razzaghi , I. Safro

Multivariate data analysis techniques have the potential to improve physics analyses in many ways. The common classification problem of signal/background discrimination is one example. The Support Vector Machine learning algorithm is a…

High Energy Physics - Experiment · Physics 2009-11-07 A. Vaiciulis

Considering the classification problem, we summarize the nonparallel support vector machines with the nonparallel hyperplanes to two types of frameworks. The first type constructs the hyperplanes separately. It solves a series of small…

Machine Learning · Computer Science 2021-06-28 Chun-Na Li , Yuan-Hai Shao , Huajun Wang , Yu-Ting Zhao , Ling-Wei Huang , Naihua Xiu , Nai-Yang Deng

Most metric learning algorithms, as well as Fisher's Discriminant Analysis (FDA), optimize some cost function of different measures of within-and between-class distances. On the other hand, Support Vector Machines(SVMs) and several Multiple…

Machine Learning · Computer Science 2013-09-17 Huyen Do , Alexandros Kalousis

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

Consistency regularization is one of the most widely-used techniques for semi-supervised learning (SSL). Generally, the aim is to train a model that is invariant to various data augmentations. In this paper, we revisit this idea and find…

Computer Vision and Pattern Recognition · Computer Science 2021-12-14 Yue Fan , Anna Kukleva , Bernt Schiele

This paper deals with an extension of the Support Vector Machine (SVM) for classification problems where, in addition to maximize the margin, i.e., the width of strip defined by the two supporting hyperplanes, the minimum of the ordered…

Optimization and Control · Mathematics 2021-07-15 Alfredo Marín , Luisa I. Martínez-Merino , Justo Puerto , Antonio M. Rodríguez-Chía

We present a new approach to obtaining photometric redshifts using a kernel learning technique called Support Vector Machines (SVMs). Unlike traditional spectral energy distribution fitting, this technique requires a large and…

Astrophysics · Physics 2009-11-10 Yogesh Wadadekar

We provide a formulation for Local Support Vector Machines (LSVMs) that generalizes previous formulations, and brings out the explicit connections to local polynomial learning used in nonparametric estimation literature. We investigate the…

Machine Learning · Statistics 2018-05-23 Ravi Ganti , Alexander Gray

Support vector machine is an important and fundamental technique in machine learning. In this paper, we apply a semismooth Newton method to solve two typical SVM models: the L2-loss SVC model and the \epsilon-L2-loss SVR model. The…

Optimization and Control · Mathematics 2019-03-04 Juan Yin , Qingna Li
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