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In this paper, we introduce novel Twin Parametric Margin Support Vector Machine (TPMSVM) models designed to address multiclass classification tasks under feature uncertainty. To handle data perturbations, we construct bounded-by-norm…

Machine Learning · Computer Science 2026-04-29 Renato De Leone , Francesca Maggioni , Andrea Spinelli

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

This paper presents a computationally efficient variant of gradient boosting for multi-class classification and multi-output regression tasks. Standard gradient boosting uses a 1-vs-all strategy for classifications tasks with more than two…

Machine Learning · Computer Science 2024-07-25 Seyedsaman Emami , Gonzalo Martínez-Muñoz

The support vector machines (SVM) algorithm is a popular classification technique in data mining and machine learning. In this paper, we propose a distributed SVM algorithm and demonstrate its use in a number of applications. The algorithm…

Machine Learning · Computer Science 2019-05-02 Taiping He , Tao Wang , Ralph Abbey , Joshua Griffin

For the binary classification problem, a novel nonlinear kernel-free quadratic hyper-surface support vector machine with 0-1 loss function (QSSVM$_{0/1}$) is proposed. Specifically, the task of QSSVM$_{0/1}$ is to seek a quadratic…

Optimization and Control · Mathematics 2024-04-17 Mingyang Wu , Zhixia Yang , Junyou Ye

Over the past two decades, support vector machine (SVM) has become a popular supervised machine learning model, and plenty of distinct algorithms are designed separately based on different KKT conditions of the SVM model for…

Machine Learning · Computer Science 2022-04-04 Zhou Shuisheng , Zhou Wendi

The ROC-SVM, originally proposed by Rakotomamonjy, directly maximizes the area under the ROC curve (AUC) and has become an attractive alternative of the conventional binary classification under the presence of class imbalance. However, its…

Machine Learning · Computer Science 2025-11-26 Gimun Bae , Seung Jun Shin

A vision-language foundation model pretrained on very large-scale image-text paired data has the potential to provide generalizable knowledge representation for downstream visual recognition and detection tasks, especially on supplementing…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Jiayi Lin , Shaogang Gong

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 machine (SVM) is one of the most studied paradigms in the realm of machine learning for classification and regression problems. It relies on vectorized input data. However, a significant portion of the real-world data exists…

Machine Learning · Computer Science 2023-10-31 Anuradha Kumari , Mushir Akhtar , Rupal Shah , M. Tanveer

We introduce Universum learning for multiclass problems and propose a novel formulation for multiclass universum SVM (MU-SVM). We also propose a span bound for MU-SVM that can be used for model selection thereby avoiding resampling.…

Machine Learning · Computer Science 2016-09-30 Sauptik Dhar , Naveen Ramakrishnan , Vladimir Cherkassky , Mohak Shah

We describe in a rudimentary fashion how SVM(support vector machine) plays the role of classifier in a mathematical setting. We then discuss its application in the study of multiple SNP(single nucleotide polymorphism) variations. Also…

Optimization and Control · Mathematics 2025-10-20 Seung-chan Ahn , Gene Kim , MyungHo Kim

Support vector machines (SVMs) are a standard tool for binary classification, but their classical formulations are purely data-driven and offer no direct way to encode trusted benchmark models or structured preferences on selected subsets…

Machine Learning · Statistics 2026-04-29 Mohammad Jafari Jozani , Bahram Moeinianfar

Multi-class classification problems are fundamental in many varied domains in research and industry. To solve multi-class classification problems, heuristic strategies such as One-vs-One or One-vs-All can be employed. However, these…

Quantum Physics · Physics 2024-02-06 S M Pillay , I Sinayskiy , E Jembere , F Petruccione

Tackling pattern recognition problems in areas such as computer vision, bioinformatics, speech or text recognition is often done best by taking into account task-specific statistical relations between output variables. In structured…

Machine Learning · Statistics 2016-03-14 Rein Houthooft , Filip De Turck

The support vector machine (SVM) is a well-established classification method whose name refers to the particular training examples, called support vectors, that determine the maximum margin separating hyperplane. The SVM classifier is known…

Statistics Theory · Mathematics 2022-06-15 Daniel Hsu , Vidya Muthukumar , Ji Xu

Support Vector Machines (SVM) have gathered significant acclaim as classifiers due to their successful implementation of Statistical Learning Theory. However, in the context of multiclass and multilabel settings, the reliance on…

Machine Learning · Computer Science 2023-07-19 Sambhav Jain Reshma Rastogi

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

Training of one-vs.-rest SVMs can be parallelized over the number of classes in a straight forward way. Given enough computational resources, one-vs.-rest SVMs can thus be trained on data involving a large number of classes. The same cannot…

Machine Learning · Statistics 2017-07-05 Maximilian Alber , Julian Zimmert , Urun Dogan , Marius Kloft

Multi-label learning has attracted the attention of the machine learning community. The problem conversion method Binary Relevance converts a familiar single label into a multi-label algorithm. The binary relevance method is widely used…

Machine Learning · Computer Science 2020-04-14 Yanghong Liu , Jia Lu , Tingting Li
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