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Active set method aims to find the correct active set of the optimal solution and it is a powerful method for solving strictly convex quadratic problem with bound constraints. To guarantee the finite step convergence, the existing active…

Optimization and Control · Mathematics 2024-08-12 Ran Gu , Bing Gao

This paper aims at improving the classification accuracy of a Support Vector Machine (SVM) classifier with Sequential Minimal Optimization (SMO) training algorithm in order to properly classify failure and normal instances from oil and gas…

Machine Learning · Computer Science 2023-06-16 Chen ZhiYuan , Olugbenro. O. Selere , Nicholas Lu Chee Seng

Support vector machine (SVM) has attracted great attentions for the last two decades due to its extensive applications, and thus numerous optimization models have been proposed. To distinguish all of them, in this paper, we introduce a new…

Optimization and Control · Mathematics 2021-04-06 Huajun Wang , Yuanhai Shao , Shenglong Zhou , Ce Zhang , Naihua Xiu

Structural support vector machines (SSVMs) are amongst the best performing models for structured computer vision tasks, such as semantic image segmentation or human pose estimation. Training SSVMs, however, is computationally costly,…

Machine Learning · Computer Science 2014-11-19 Neel Shah , Vladimir Kolmogorov , Christoph H. Lampert

Support Vector Machines (SVMs) are a relatively new supervised classification technique to the land cover mapping community. They have their roots in Statistical Learning Theory and have gained prominence because they are robust, accurate…

Machine Learning · Computer Science 2007-09-26 Gidudu Anthony , Hulley Greg , Marwala Tshilidzi

There has been growing interest in extending traditional vector-based machine learning techniques to their tensor forms. An example is the support tensor machine (STM) that utilizes a rank-one tensor to capture the data structure, thereby…

Machine Learning · Computer Science 2018-04-18 Cong Chen , Kim Batselier , Ching-Yun Ko , Ngai Wong

Support vector machines (SVMs) are special kernel based methods and belong to the most successful learning methods since more than a decade. SVMs can informally be described as a kind of regularized M-estimators for functions and have…

Machine Learning · Statistics 2010-07-26 Andreas Christmann , Robert Hable

Support vector machine (SVM) is a powerful machine learning algorithm to handle classification tasks. However, the classical SVM is developed for binary problems with the assumption of balanced datasets. Obviously, the multi-class…

Machine Learning · Computer Science 2025-02-21 Zhong-Liang Zhang , Jie Yang , Jian-Ming Ru , Xiao-Xi Zhao , Xing-Gang Luo

Support vector machines (SVM) and other kernel techniques represent a family of powerful statistical classification methods with high accuracy and broad applicability. Because they use all or a significant portion of the training data,…

Machine Learning · Statistics 2023-01-31 Peter Mills

An efficient Singular Value Decomposition (SVD) algorithm is an important tool for distributed and streaming computation in big data problems. It is observed that update of singular vectors of a rank-1 perturbed matrix is similar to a…

Machine Learning · Computer Science 2017-07-27 Ratnik Gandhi , Amoli Rajgor

Quadratic programming is a ubiquitous prototype in convex programming. Many machine learning problems can be formulated as quadratic programming, including the famous Support Vector Machines (SVMs). Linear and kernel SVMs have been among…

Optimization and Control · Mathematics 2025-02-13 Yuzhou Gu , Zhao Song , Lichen Zhang

With data sizes constantly expanding, and with classical machine learning algorithms that analyze such data requiring larger and larger amounts of computation time and storage space, the need to distribute computation and memory…

Machine Learning · Computer Science 2015-12-08 Aruna Govada , Shree Ranjani , Aditi Viswanathan , S. K. Sahay

The selection of Gaussian kernel parameters plays an important role in the applications of support vector classification (SVC). A commonly used method is the k-fold cross validation with grid search (CV), which is extremely time-consuming…

Machine Learning · Computer Science 2025-01-22 Linkai Luo , Qiaoling Yang , Hong Peng , Yiding Wang , Ziyang Chen

We propose a randomized algorithm for training Support vector machines(SVMs) on large datasets. By using ideas from Random projections we show that the combinatorial dimension of SVMs is $O({log} n)$ with high probability. This estimate of…

Machine Learning · Computer Science 2009-09-22 Vinay Jethava , Krishnan Suresh , Chiranjib Bhattacharyya , Ramesh Hariharan

Training structured prediction models is time-consuming. However, most existing approaches only use a single machine, thus, the advantage of computing power and the capacity for larger data sets of multiple machines have not been exploited.…

Machine Learning · Statistics 2016-02-16 Ching-pei Lee , Kai-Wei Chang , Shyam Upadhyay , Dan Roth

Support Vector Machine (SVM) stands out as a prominent machine learning technique widely applied in practical pattern recognition tasks. It achieves binary classification by maximizing the "margin", which represents the minimum distance…

Machine Learning · Computer Science 2026-01-21 Zhezheng Hao , Feiping Nie , Rong Wang

We present an efficient coreset construction algorithm for large-scale Support Vector Machine (SVM) training in Big Data and streaming applications. A coreset is a small, representative subset of the original data points such that a models…

Machine Learning · Computer Science 2020-02-18 Murad Tukan , Cenk Baykal , Dan Feldman , Daniela Rus

The training of Support Vector Machines may be a very difficult task when dealing with very large datasets. The memory requirement and the time consumption of the SVMs algorithms grow rapidly with the increase of the data. To overcome these…

Optimization and Control · Mathematics 2015-11-04 Andrea Manno , Laura Palagi , Simone Sagratella

The most popular classification algorithms are designed to maximize classification accuracy during training. However, this strategy may fail in the presence of class imbalance since it is possible to train models with high accuracy by…

Machine Learning · Computer Science 2024-01-26 Erhan Can Ozcan , Berk Görgülü , Mustafa G. Baydogan , Ioannis Ch. Paschalidis

The support vector machine (SVM) is an important class of learning machines for function approach, pattern recognition, and time-serious prediction, etc. It maps samples into the feature space by so-called support vectors of selected…

Machine Learning · Statistics 2016-02-15 Hong Zhao