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We consider the binary classification problem when data are large and subject to unknown but bounded uncertainties. We address the problem by formulating the nonlinear support vector machine training problem with robust optimization. To do…

Machine Learning · Statistics 2017-06-30 Nicolas Couellan , Sophie Jan

A widely-used tool for binary classification is the Support Vector Machine (SVM), a supervised learning technique that finds the "maximum margin" linear separator between the two classes. While SVMs have been well studied in the batch…

Machine Learning · Computer Science 2014-12-09 Vikram Nathan , Sharath Raghvendra

Using a support vector machine requires to set two types of hyperparameters: the soft margin parameter C and the parameters of the kernel. To perform this model selection task, the method of choice is cross-validation. Its leave-one-out…

Machine Learning · Computer Science 2008-12-18 Emmanuel Monfrini , Yann Guermeur

In this paper we propose novel methodologies to construct Support Vector Machine -based classifiers that takes into account that label noises occur in the training sample. We propose different alternatives based on solving Mixed Integer…

Machine Learning · Computer Science 2020-04-22 Víctor Blanco , Alberto Japón , Justo Puerto

Various technologies, including computer vision models, are employed for the automatic monitoring of manual assembly processes in production. These models detect and classify events such as the presence of components in an assembly area or…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Anton Sergeev , Victor Minchenkov , Aleksei Soldatov , Vasiliy Kakurin , Yaroslav Mazikov

Support vector machines (SVMs) are well-studied supervised learning models for binary classification. In many applications, large amounts of samples can be cheaply and easily obtained. What is often a costly and error-prone process is to…

Optimization and Control · Mathematics 2024-12-20 Veronica Piccialli , Jan Schwiddessen , Antonio M. Sudoso

This paper addresses the problem of efficiently classifying high-dimensional data over decentralized networks. Penalized support vector machines (SVMs) are widely used for high-dimensional classification tasks. However, the double…

Machine Learning · Statistics 2025-03-11 Canyi Chen , Nan Qiao , Liping Zhu

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

Machine learning and data analysis have been used in many robotics fields, especially for modelling. Data are usually the result of sensor measurements and, as such, they might be subjected to noise and outliers. The presence of outliers…

Robotics · Computer Science 2019-08-26 Francesco Cursi , Guang-Zhong Yang

Many classification problems focus on maximizing the performance only on the samples with the highest relevance instead of all samples. As an example, we can mention ranking problems, accuracy at the top or search engines where only the top…

Machine Learning · Computer Science 2023-03-29 Václav Mácha , Lukáš Adam , Václav Šmídl

A wide variety of machine learning algorithms such as support vector machine (SVM), minimax probability machine (MPM), and Fisher discriminant analysis (FDA), exist for binary classification. The purpose of this paper is to provide a…

Machine Learning · Computer Science 2012-06-22 Akiko Takeda , Hiroyuki Mitsugi , Takafumi Kanamori

The support vector machine (SVM) is a supervised learning algorithm that finds a maximum-margin linear classifier, often after mapping the data to a high-dimensional feature space via the kernel trick. Recent work has demonstrated that in…

Machine Learning · Statistics 2026-04-16 Chiraag Kaushik , Andrew D. McRae , Mark A. Davenport , Vidya Muthukumar

We study the problem of formally verifying the robustness to adversarial examples of support vector machines (SVMs), a major machine learning model for classification and regression tasks. Following a recent stream of works on formal…

Machine Learning · Computer Science 2019-04-29 Francesco Ranzato , Marco Zanella

The Support Vector Machine (SVM) has been used in a wide variety of classification problems. The original SVM uses the hinge loss function, which is non-differentiable and makes the problem difficult to solve in particular for regularized…

Machine Learning · Statistics 2015-12-01 Yangyang Xu , Ioannis Akrotirianakis , Amit Chakraborty

Recent advances in healthcare technologies have led to the availability of large amounts of biological samples across several techniques and applications. In particular, in the last few years, Raman spectroscopy analysis of biological…

Quantitative Methods · Quantitative Biology 2025-06-24 Marco Piazza , Andrea Spinelli , Francesca Maggioni , Marzia Bedoni , Enza Messina

Support vector machines (SVM) can classify data sets along highly non-linear decision boundaries because of the kernel-trick. This expressiveness comes at a price: During test-time, the SVM classifier needs to compute the kernel…

Machine Learning · Computer Science 2015-02-03 Zhixiang Xu , Jacob R. Gardner , Stephen Tyree , Kilian Q. Weinberger

We investigate a robust penalized logistic regression algorithm based on a minimum distance criterion. Influential outliers are often associated with the explosion of parameter vector estimates, but in the context of standard logistic…

Methodology · Statistics 2014-02-21 Eric C. Chi , David W. Scott

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

Structured output support vector machine (SVM) based tracking algorithms have shown favorable performance recently. Nonetheless, the time-consuming candidate sampling and complex optimization limit their real-time applications. In this…

Computer Vision and Pattern Recognition · Computer Science 2017-03-21 Mengmeng Wang , Yong Liu , Zeyi Huang

Several works have addressed the problem of incorporating constraints in the reinforcement learning (RL) framework, however majority of them can only guarantee the satisfaction of soft constraints. In this work, we address the problem of…

Machine Learning · Computer Science 2020-06-16 Kwangyeon Kim , Akshita Gupta , Hong-Cheol Choi , Inseok Hwang
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