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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

We show how, using linear-algebraic tools developed to prove Tverberg's theorem in combinatorial geometry, we can design new models of multi-class support vector machines (SVMs). These supervised learning protocols require fewer conditions…

Machine Learning · Computer Science 2024-04-26 Pablo Soberón

We introduce a new Bayesian multi-class support vector machine by formulating a pseudo-likelihood for a multi-class hinge loss in the form of a location-scale mixture of Gaussians. We derive a variational-inference-based training objective…

Machine Learning · Computer Science 2018-06-08 Martin Wistuba , Ambrish Rawat

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

Support vector machines (SVMs) appeared in the early nineties as optimal margin classifiers in the context of Vapnik's statistical learning theory. Since then SVMs have been successfully applied to real-world data analysis problems, often…

Statistics Theory · Mathematics 2016-08-16 Javier M. Moguerza , Alberto Muñoz

We present a novel hierarchical approach to multi-class classification which is generic in that it can be applied to different classification models (e.g., support vector machines, perceptrons), and makes no explicit assumptions about the…

Machine Learning · Computer Science 2016-01-07 Thomas Kopinski , Stéphane Magand , Uwe Handmann , Alexander Gepperth

In this paper there is proposed a generalized version of the SVM for binary classification problems in the case of using an arbitrary transformation x -> y. An approach similar to the classic SVM method is used. The problem is widely…

Machine Learning · Computer Science 2014-04-16 E. G. Abramov , A. B. Komissarov , D. A. Kornyakov

We review the concept of support vector machines (SVMs) and discuss examples of their use. One of the benefits of SVM algorithms, compared with neural networks and decision trees is that they can be less susceptible to over fitting than…

Data Analysis, Statistics and Probability · Physics 2016-12-21 A. Bethani , A. J. Bevan , J. Hays , T. J. Stevenson

We propose new methods for Support Vector Machines (SVMs) using tree architecture for multi-class classi- fication. In each node of the tree, we select an appropriate binary classifier using entropy and generalization error estimation, then…

Machine Learning · Computer Science 2017-08-29 Pittipol Kantavat , Boonserm Kijsirikul , Patoomsiri Songsiri , Ken-ichi Fukui , Masayuki Numao

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

This paper addresses feature subset selection for Support Vector Machines (SVMs) based on the cross-validation criterion. Unlike statistical criteria such as the Akaike information criterion (AIC) and the Bayesian information criterion…

Optimization and Control · Mathematics 2026-05-11 Masaharu Mori , Shunnosuke Ikeda , Ryuta Tamura , Yuichi Takano , Ryuhei Miyashiro

We present DCSVM, an efficient algorithm for multi-class classification using Support Vector Machines. DCSVM is a divide and conquer algorithm which relies on data sparsity in high dimensional space and performs a smart partitioning of the…

Machine Learning · Computer Science 2018-10-24 Duleep Rathgamage Don , Ionut E. Iacob

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

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

Neural Networks and related Deep Learning methods are currently at the leading edge of technologies used for classifying objects. However, they generally demand large amounts of time and data for model training; and their learned models can…

Computer Vision and Pattern Recognition · Computer Science 2022-06-16 Malcolm C. A. White , Kushal Sharma , Ang Li , T. K. Satish Kumar , Nori Nakata

We present a growing dimension asymptotic formalism. The perspective in this paper is classification theory and we show that it can accommodate probabilistic networks classifiers, including naive Bayes model and its augmented version. When…

Machine Learning · Computer Science 2013-01-07 Tatjana Pavlenko , Dietrich von Rosen

This paper proposes a robust classification model, based on support vector machine (SVM), which simultaneously deals with outliers detection and feature selection. The classifier is built considering the ramp loss margin error and it…

Optimization and Control · Mathematics 2024-03-13 Marta Baldomero-Naranjo , Luisa I. Martínez-Merino , Antonio M. Rodríguez-Chía

Support Vector Machine (SVM) is an efficient classification approach, which finds a hyperplane to separate data from different classes. This hyperplane is determined by support vectors. In existing SVM formulations, the objective function…

Machine Learning · Computer Science 2018-04-09 Shuai Zheng , Chris Ding

Support vector machine (SVM) is a well-known statistical technique for classification problems in machine learning and other fields. An important question for SVM is the selection of covariates (or features) for the model. Many studies have…

Methodology · Statistics 2022-02-22 Jiahui Zou , Chaoxia Yuan , Xinyu Zhang , Guohua Zou , Alan T. K. Wan

The Support Vector Machine (SVM) of Vapnik (1998) has become widely established as one of the leading approaches to pattern recognition and machine learning. It expresses predictions in terms of a linear combination of kernel functions…

Machine Learning · Computer Science 2013-01-18 Christopher M. Bishop , Michael Tipping