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The support vector machine (SVM) is one of the most successful learning methods for solving classification problems. Despite its popularity, SVM has a serious drawback, that is sensitivity to outliers in training samples. The penalty on…

Machine Learning · Statistics 2014-09-04 Takafumi Kanamori , Shuhei Fujiwara , Akiko Takeda

Classification with support vector machines (SVM) often suffers from limited performance when relying solely on labeled data from target classes and is sensitive to noise and outliers. Incorporating prior knowledge from Universum data and…

Machine Learning · Computer Science 2024-12-05 M. A. Ganaie , Vrushank Ahire

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…

Due to the rise of cardinality minimization in optimization, sparse support vector machines (SSVMs) have attracted much attention lately and show certain empirical advantages over convex SVMs. A common way to derive an SSVM is to add a…

Machine Learning · Computer Science 2026-01-29 Penghe Zhang , Naihua Xiu , Houduo Qi

The Partitioning Min-Max Weighted Matching (PMMWM) problem is an NP-hard problem that combines the problem of partitioning a group of vertices of a bipartite graph into disjoint subsets with limited size and the classical Min-Max Weighted…

Data Structures and Algorithms · Computer Science 2022-01-26 Yuxuan Wang , Jinyao Xie , Jiongzhi Zheng , Kun He

The Support Vector Machine using Privileged Information (SVM+) has been proposed to train a classifier to utilize the additional privileged information that is only available in the training phase but not available in the test phase. In…

Machine Learning · Computer Science 2016-04-07 Xinxing Xu , Joey Tianyi Zhou , IvorW. Tsang , Zheng Qin , Rick Siow Mong Goh , Yong Liu

Support vector machine (SVM) has proved to be a successful approach for machine learning. Two typical SVM models are the L1-loss model for support vector classification (SVC) and $\epsilon$-L1-loss model for support vector regression (SVR).…

Optimization and Control · Mathematics 2020-03-09 Yinqiao Yan , Qingna Li

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

We propose $\ell_1$ norm regularized quadratic surface support vector machine models for binary classification in supervised learning. We establish their desired theoretical properties, including the existence and uniqueness of the optimal…

Machine Learning · Computer Science 2021-03-23 Ahmad Mousavi , Zheming Gao , Lanshan Han , Alvin Lim

This paper addresses the pattern classification problem arising when available target data include some uncertainty information. Target data considered here is either qualitative (a class label) or quantitative (an estimation of the…

Machine Learning · Computer Science 2011-06-20 Emilie Niaf , Rémi Flamary , Carole Lartizien , Stéphane Canu

This paper extends the idea of Universum learning [1, 2] to single-class learning problems. We propose Single Class Universum-SVM setting that incorporates a priori knowledge (in the form of additional data samples) into the single class…

Machine Learning · Computer Science 2019-09-27 Sauptik Dhar , Vladimir Cherkassky

Least Squares Twin Support Vector Machine (LST-SVM) has been shown to be an efficient and fast algorithm for binary classification. It combines the operating principles of Least Squares SVM (LS-SVM) and Twin SVM (T-SVM); it constructs two…

Artificial Intelligence · Computer Science 2018-11-26 Javad Salimi Sartakhti , Homayun Afrabandpey , Nasser Ghadiri

Twin support vector machine (TWSVM) and twin support vector regression (TSVR) are newly emerging efficient machine learning techniques which offer promising solutions for classification and regression challenges respectively. TWSVM is based…

Machine Learning · Computer Science 2022-03-21 M. Tanveer , T. Rajani , R. Rastogi , Y. H. Shao , M. A. Ganaie

The linear Support Vector Machine (SVM) is a classic classification technique in machine learning. Motivated by applications in modern high dimensional statistics, we consider penalized SVM problems involving the minimization of a…

Machine Learning · Statistics 2021-08-31 Antoine Dedieu , Rahul Mazumder , Haoyue Wang

Sparse support vector machine (SVM) is a popular classification technique that can simultaneously learn a small set of the most interpretable features and identify the support vectors. It has achieved great successes in many real-world…

Machine Learning · Statistics 2019-07-19 Weizhong Zhang , Bin Hong , Wei Liu , Jieping Ye , Deng Cai , Xiaofei He , Jie Wang

In this paper, we propose a new way of remembering by introducing a memory influence mechanism for the least squares support vector machine (LSSVM). Without changing the equation constraints of the original LSSVM, this mechanism, allows an…

Machine Learning · Statistics 2023-09-01 Shuai Wang , Zhen Wang , Yuan-Hai Shao

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

We consider the problem of learning a binary classifier from a training set of positive and unlabeled examples, both in the inductive and in the transductive setting. This problem, often referred to as \emph{PU learning}, differs from the…

Machine Learning · Statistics 2010-10-06 Fantine Mordelet , Jean-Philippe Vert

Multiclass extensions of the support vector machine (SVM) have been formulated in a variety of ways. A recent empirical comparison of nine such formulations [Do\v{g}an et al. 2016] recommends the variant proposed by Weston and Watkins (WW),…

Machine Learning · Statistics 2020-06-15 Yutong Wang , Clayton D. Scott

Support Vector Machines (SVM) have gathered significant acclaim as classifiers due to their successful implementation of Statistical Learning Theory. However, in the context of multiclass and multilabel settings, the reliance on…

Machine Learning · Computer Science 2023-07-19 Sambhav Jain Reshma Rastogi
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