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We augment linear Support Vector Machine (SVM) classifiers by adding three important features: (i) we introduce a regularization constraint to induce a sparse classifier; (ii) we devise a method that partitions the positive class into…

Applications · Statistics 2019-03-22 Taiyao Wang , Ioannis Ch. Paschalidis

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

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

In \cite{simon2023algorithms} we introduced four algorithms for the training of neural support vector machines (NSVMs) and demonstrated their feasibility. In this note we introduce neural quantum support vector machines, that is, NSVMs with…

Quantum Physics · Physics 2023-11-27 Lars Simon , Manuel Radons

Support vector machines (SVMs) are a well-established classifier effectively deployed in an array of pattern recognition and classification tasks. In this work, we consider extending classic SVMs with quantum kernels and applying them to…

Computer Vision and Pattern Recognition · Computer Science 2023-07-17 Artur Miroszewski , Jakub Mielczarek , Filip Szczepanek , Grzegorz Czelusta , Bartosz Grabowski , Bertrand Le Saux , Jakub Nalepa

This paper studies the addition of linear constraints to the Support Vector Regression (SVR) when the kernel is linear. Adding those constraints into the problem allows to add prior knowledge on the estimator obtained, such as finding…

Optimization and Control · Mathematics 2019-11-07 Quentin Klopfenstein , Samuel Vaiter

The support vector machine (SVM) is a widely used machine learning tool for classification based on statistical learning theory. Given a set of training data, the SVM finds a hyperplane that separates two different classes of data points by…

Machine Learning · Computer Science 2017-10-31 Daniel Lopez-Martinez

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

Many real world categories are multimodal, with single classes occupying disjoint regions in feature space. Classical linear models (logistic regression, linear SVM) use a single global hyperplane and perform poorly on such data, while…

Machine Learning · Computer Science 2025-09-23 Prasanth K K , Shubham Sharma

A rapid pattern-recognition approach to characterize driver's curve-negotiating behavior is proposed. To shorten the recognition time and improve the recognition of driving styles, a k-means clustering-based support vector machine (…

Machine Learning · Statistics 2017-02-08 Wenshuo Wang , Junqiang Xi

Due to their high computational complexity, deep neural networks are still limited to powerful processing units. To promote a reduced model complexity by dint of low-bit fixed-point quantization, we propose a gradient-based optimization…

Machine Learning · Computer Science 2019-07-18 Lukas Enderich , Fabian Timm , Lars Rosenbaum , Wolfram Burgard

The use of low-resolution Analog-to-Digital Converters (ADCs) is a practical solution for reducing cost and power consumption for massive Multiple-Input-Multiple-Output (MIMO) systems. However, the severe nonlinearity of low-resolution ADCs…

Signal Processing · Electrical Eng. & Systems 2021-05-05 Ly V. Nguyen , A. Lee Swindlehurst , Duy H. N. Nguyen

Support Vector Machines (SVMs) are a cornerstone of supervised learning, widely used for data classification. A central component of their success lies in kernel functions, which enable efficient computation of inner products in…

Quantum Physics · Physics 2025-09-16 A. Mandilara , A. D. Papadopoulos , D. Syvridis

Category imbalance is one of the most popular and important issues in the domain of classification. Emotion classification model trained on imbalanced datasets easily leads to unreliable prediction. The traditional machine learning method…

Computer Vision and Pattern Recognition · Computer Science 2025-01-27 Lu Jiang , Qi Wang , Yuhang Chang , Jianing Song , Haoyue Fu , Xiaochun Yang

We introduce Permutation and Structured Perturbation Inference (PSPI), a new problem formulation that abstracts many graph matching tasks that arise in systems biology. PSPI can be viewed as a robust formulation of the permutation inference…

Artificial Intelligence · Computer Science 2021-04-05 Raghvendra Mall , Shameem A. Parambath , Han Yufei , Ting Yu , Sanjay Chawla

Support Vector Machines (SVMs) are an important tool for performing classification on scattered data, where one usually has to deal with many data points in high-dimensional spaces. We propose solving SVMs in primal form using feature maps…

Machine Learning · Computer Science 2024-09-05 Kseniya Akhalaya , Franziska Nestler , Daniel Potts

The least-squares support vector machine is a frequently used kernel method for non-linear regression and classification tasks. Here we discuss several approximation algorithms for the least-squares support vector machine classifier. The…

Machine Learning · Computer Science 2017-03-24 M. Andrecut

With the advancement of communication and security technologies, it has become crucial to have robustness of embedded biometric systems. This paper presents the realization of such technologies which demands reliable and error-free…

Computer Vision and Pattern Recognition · Computer Science 2012-04-20 Aamir Khan , Muhammad Farhan , Asar Ali

We propose a method of using a Weighted second-order cone programming twin support vector machine (WSOCP-TWSVM) for imbalanced data classification. This method constructs a graph based under-sampling method which is utilized to remove…

Computer Vision and Pattern Recognition · Computer Science 2019-07-09 Saeideh Roshanfekr , Shahriar Esmaeili , Hassan Ataeian , Ali Amiri

High dimension low sample size statistical analysis is important in a wide range of applications. In such situations, the highly appealing discrimination method, support vector machine, can be improved to alleviate data piling at the…

Optimization and Control · Mathematics 2017-08-18 Xin Yee Lam , J. S. Marron , Defeng Sun , Kim-Chuan Toh
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