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The Support Vector Machine (SVM) is one of the most widely used classification methods. In this paper, we consider the soft-margin SVM used on data points with independent features, where the sample size $n$ and the feature dimension $p$…

Machine Learning · Statistics 2019-08-02 Haoyang Liu

This article proposes a performance analysis of kernel least squares support vector machines (LS-SVMs) based on a random matrix approach, in the regime where both the dimension of data $p$ and their number $n$ grow large at the same rate.…

Machine Learning · Statistics 2016-09-09 Zhenyu Liao , Romain Couillet

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 explosive availability of remote sensing images has challenged supervised classification algorithms such as Support Vector Machines (SVM), as training samples tend to be highly limited due to the expensive and laborious task of ground…

Computer Vision and Pattern Recognition · Computer Science 2018-07-17 Yiqing Guo , Xiuping Jia , David Paull

We prove that, under low noise assumptions, the support vector machine with $N\ll m$ random features (RFSVM) can achieve the learning rate faster than $O(1/\sqrt{m})$ on a training set with $m$ samples when an optimized feature map is used.…

Machine Learning · Computer Science 2019-01-09 Yitong Sun , Anna Gilbert , Ambuj Tewari

Support vector machine is an important and fundamental technique in machine learning. In this paper, we apply a semismooth Newton method to solve two typical SVM models: the L2-loss SVC model and the \epsilon-L2-loss SVR model. The…

Optimization and Control · Mathematics 2019-03-04 Juan Yin , Qingna Li

Alternating Direction Method of Multipliers (ADMM) is a popular method for solving large-scale Machine Learning problems. Stochastic ADMM was proposed to reduce the per iteration computational complexity, which is more suitable for big data…

Numerical Analysis · Computer Science 2023-04-25 Chao Zhang , Zebang Shen , Hui Qian , Tengfei Zhou , Jianya Zhou , Jianying Zhou

Machine learning models and libraries can train datasets of different sizes and perform prediction and classification operations, but machine learning models and libraries cause slow and long training times on large datasets. This article…

Machine Learning · Computer Science 2025-09-17 Halil Hüseyin Çalışkan , Talha Koruk

Kernel machines often yield superior predictive performance on various tasks; however, they suffer from severe computational challenges. In this paper, we show how to overcome the important challenge of speeding up kernel machines. In…

Machine Learning · Computer Science 2016-08-09 Cho-Jui Hsieh , Si Si , Inderjit S. Dhillon

Robust support vector machine (RSVM) has been shown to perform remarkably well to improve the generalization performance of support vector machine under the noisy environment. Unfortunately, in order to handle the non-convexity induced by…

Machine Learning · Computer Science 2019-12-25 Zhou Zhai , Bin Gu , Xiang Li , Heng Huang

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

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

A novel linear classification method that possesses the merits of both the Support Vector Machine (SVM) and the Distance-weighted Discrimination (DWD) is proposed in this article. The proposed Distance-weighted Support Vector Machine method…

Machine Learning · Statistics 2015-10-09 Xingye Qiao , Lingsong Zhang

We present a dual subspace ascent algorithm for support vector machine training that respects a budget constraint limiting the number of support vectors. Budget methods are effective for reducing the training time of kernel SVM while…

Machine Learning · Computer Science 2018-06-28 Sahar Qaadan , Merlin Schüler , Tobias Glasmachers

This work endeavors to juxtapose the efficacy of machine learning algorithms within classical and quantum computational paradigms. Particularly, by emphasizing on Support Vector Machines (SVM), we scrutinize the classification prowess of…

Machine Learning · Computer Science 2023-10-18 Davut Emre Tasar , Kutan Koruyan , Ceren Ocal Tasar

In this work we present a quadratic programming approximation of the Semi-Supervised Support Vector Machine (S3VM) problem, namely approximate QP-S3VM, that can be efficiently solved using off the shelf optimization packages. We prove that…

Machine Learning · Computer Science 2011-08-24 Wael Emara , Mehmed Kantardzic

It is shown that bootstrap approximations of support vector machines (SVMs) based on a general convex and smooth loss function and on a general kernel are consistent. This result is useful to approximate the unknown finite sample…

Machine Learning · Statistics 2013-01-30 Andreas Christmann , Robert Hable

Real-time gas classification is an essential issue and challenge in applications such as food and beverage quality control, accident prevention in industrial environments, for instance. In recent years, the Deep Learning (DL) models have…

Signal Processing · Electrical Eng. & Systems 2020-10-05 Juan C. Rodriguez Gamboa , Adenilton J. da Silva , Ismael C. S. Araujo , Eva Susana Albarracin E. , Cristhian M. Duran A

Support Vector Data Description (SVDD) is a popular outlier detection technique which constructs a flexible description of the input data. SVDD computation time is high for large training datasets which limits its use in big-data…

Machine Learning · Computer Science 2018-11-02 Arin Chaudhuri , Deovrat Kakde , Maria Jahja , Wei Xiao , Hansi Jiang , Seunghyun Kong , Sergiy Peredriy

Adaptive causal representation learning from observational data is presented, integrated with an efficient sample splitting technique within the semiparametric estimating equation framework. The support points sample splitting (SPSS), a…

Machine Learning · Statistics 2024-11-25 Lynda Aouar , Han Yu
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