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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) was originally designed for binary classifications. A lot of effort has been put to generalize the binary SVM to multiclass SVM (MSVM) which are more complex problems. Initially, MSVMs were solved by…

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

In the last few years, due to the growing ubiquity of unlabeled data, much effort has been spent by the machine learning community to develop better understanding and improve the quality of classifiers exploiting unlabeled data. Following…

Machine Learning · Statistics 2009-09-30 Stefano Melacci , Mikhail Belkin

Solving different types of optimization models (including parameters fitting) for support vector machines on large-scale training data is often an expensive computational task. This paper proposes a multilevel algorithmic framework that…

Machine Learning · Statistics 2014-10-14 Talayeh Razzaghi , Ilya Safro

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 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

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

Multi-label classification is an important yet challenging task in natural language processing. It is more complex than single-label classification in that the labels tend to be correlated. Existing methods tend to ignore the correlations…

Computation and Language · Computer Science 2018-06-18 Pengcheng Yang , Xu Sun , Wei Li , Shuming Ma , Wei Wu , Houfeng Wang

There is growing interest in multi-label image classification due to its critical role in web-based image analytics-based applications, such as large-scale image retrieval and browsing. Matrix completion has recently been introduced as a…

Machine Learning · Statistics 2019-04-09 Yong Luo , Tongliang Liu , Dacheng Tao , Chao Xu

Semi supervised learning methods have gained importance in today's world because of large expenses and time involved in labeling the unlabeled data by human experts. The proposed hybrid approach uses SVM and Label Propagation to label the…

Machine Learning · Computer Science 2015-12-08 Aruna Govada , Pravin Joshi , Sahil Mittal , Sanjay K Sahay

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

Support matrix machine (SMM) is a successful supervised classification model for matrix-type samples. Unlike support vector machines, it employs low-rank regularization on the regression matrix to effectively capture the intrinsic structure…

Optimization and Control · Mathematics 2024-12-12 Can Wu , Dong-Hui Li , Defeng Sun

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

In this paper, we propose a new mathematical optimization model for multiclass classification based on arrangements of hyperplanes. Our approach preserves the core support vector machine (SVM) paradigm of maximizing class separation while…

Optimization and Control · Mathematics 2025-10-07 Víctor Blanco , Harshit Kothari , James Luedtke

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

Typically, nonlinear Support Vector Machines (SVMs) produce significantly higher classification quality when compared to linear ones but, at the same time, their computational complexity is prohibitive for large-scale datasets: this…

Machine Learning · Computer Science 2021-11-11 S. Cipolla , J. Gondzio

This paper presents a unified framework to tackle estimation problems in Digital Signal Processing (DSP) using Support Vector Machines (SVMs). The use of SVMs in estimation problems has been traditionally limited to its mere use as a…

Disease classification is a crucial element of biomedical research. Recent studies have demonstrated that machine learning techniques, such as Support Vector Machine (SVM) modeling, produce similar or improved predictive capabilities in…

Machine Learning · Statistics 2017-08-02 Jessica M. Rudd

Real-world data such as digital images, MRI scans and electroencephalography signals are naturally represented as matrices with structural information. Most existing classifiers aim to capture these structures by regularizing the regression…

Machine Learning · Statistics 2018-12-31 Yunfei Ye , Dong Han

We propose an improved version of the SMO algorithm for training classification and regression SVMs, based on a Conjugate Descent procedure. This new approach only involves a modest increase on the computational cost of each iteration but,…

Optimization and Control · Mathematics 2020-03-20 Alberto Torres-Barrán , Carlos Alaíz , José R. Dorronsoro