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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

Using methods of Statistical Physics, we investigate the generalization performance of support vector machines (SVMs), which have been recently introduced as a general alternative to neural networks. For nonlinear classification rules, the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Rainer Dietrich , Manfred Opper , Haim Sompolinsky

In this article, we propose a new Support Vector Machine (SVM) training algorithm based on distributed MapReduce technique. In literature, there are a lots of research that shows us SVM has highest generalization property among…

Machine Learning · Computer Science 2015-03-12 Ferhat Özgür Çatak

Federated systems enable collaborative training on highly heterogeneous data through model personalization, which can be facilitated by employing multi-task learning algorithms. However, significant variation in device computing…

Support Vector Machines (SVMs) are popular tools for data mining tasks such as classification, regression, and density estimation. However, original SVM (C-SVM) only considers local information of data points on or over the margin.…

Artificial Intelligence · Computer Science 2010-09-28 Xin Liu , Ying Ding , Forrest Sheng Bao

We propose several novel methods for enhancing the multi-class SVMs by applying the generalization performance of binary classifiers as the core idea. This concept will be applied on the existing algorithms, i.e., the Decision Directed…

Machine Learning · Computer Science 2013-09-12 Patoomsiri Songsiri , Thimaporn Phetkaew , Boonserm Kijsirikul

The problem of distributed identification of linear stochastic system with unknown coefficients over time-varying networks is considered. For estimating the unknown coefficients, each agent in the network can only access the input and the…

Systems and Control · Electrical Eng. & Systems 2021-08-04 Kewei Fu , Han-Fu Chen , Wenxiao Zhao

Owing to the recent advances in "Big Data" modeling and prediction tasks, variational Bayesian estimation has gained popularity due to their ability to provide exact solutions to approximate posteriors. One key technique for approximate…

Machine Learning · Computer Science 2018-03-01 Hamza Anwar , Quanyan Zhu

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

We present a novel machine learning architecture for classification suggested by experiments on olfactory systems. The network separates input stimuli, represented as spatially distinct currents, via winnerless competition---a process based…

Biological Physics · Physics 2020-06-18 Jason A. Platt , Anna Miller , Lawson Fuller , Henry D. I. Abarbanel

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

Mathematical modelling, particularly through approaches such as structured sparse support vector machines (SS-SVM), plays a crucial role in processing data with complex feature structures, yet efficient algorithms for distributed…

Machine Learning · Computer Science 2026-01-13 Rongmei Liang , Zizheng Liu , Xiaofei Wu , Jingwen Tu

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

Transfer learning has been developed to improve the performances of different but related tasks in machine learning. However, such processes become less efficient with the increase of the size of training data and the number of tasks.…

Machine Learning · Computer Science 2018-03-28 Rui Zhang , Quanyan Zhu

This paper presents a kernel-based discriminative learning framework on probability measures. Rather than relying on large collections of vectorial training examples, our framework learns using a collection of probability distributions that…

Machine Learning · Statistics 2013-01-15 Krikamol Muandet , Kenji Fukumizu , Francesco Dinuzzo , Bernhard Schölkopf

Distributed optimization for resource allocation problems is investigated and a sub-optimal continuous-time algorithm is proposed. Our algorithm has lower order dynamics than others to reduce burdens of computation and communication, and is…

Optimization and Control · Mathematics 2020-02-13 Shu Liang , Xianlin Zeng , Guanpu Chen , Yiguang Hong

Support vector machine (SVM) training is an active research area since the dawn of the method. In recent years there has been increasing interest in specialized solvers for the important case of linear models. The algorithm presented by…

Machine Learning · Statistics 2013-02-25 Tobias Glasmachers , Ürün Dogan

In many applications, input data are sampled functions taking their values in infinite dimensional spaces rather than standard vectors. This fact has complex consequences on data analysis algorithms that motivate modifications of them. In…

Statistics Theory · Mathematics 2007-05-23 Fabrice Rossi , Nathalie Villa

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

Support vector machines (SVMs) are popular learning algorithms to deal with binary classification problems. They traditionally assume equal misclassification costs for each class; however, real-world problems may have an uneven class…

Machine Learning · Computer Science 2022-04-22 Alejandro Rosales-Pérez , Salvador García , Francisco Herrera