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Quantum kernel methods (QKMs) have emerged as a prominent framework for supervised quantum machine learning. Unlike variational quantum algorithms, which rely on gradient-based optimisation and may suffer from issues such as barren…

Quantum Physics · Physics 2026-04-10 John Tanner , Chon-Fai Kam , Jingbo Wang

Training of neural networks (NNs) has emerged as a major consumer of both computational and energy resources. Quantum computers were coined as a root to facilitate training, but no experimental evidence has been presented so far. Here we…

Quantum Physics · Physics 2025-12-02 Hao Zhang , Alex Kamenev

Tensor, a multi-dimensional data structure, has been exploited recently in the machine learning community. Traditional machine learning approaches are vector- or matrix-based, and cannot handle tensorial data directly. In this paper, we…

Machine Learning · Computer Science 2020-01-03 Cong Chen , Kim Batselier , Wenjian Yu , Ngai Wong

Survival analysis is a fundamental tool in medical research to identify predictors of adverse events and develop systems for clinical decision support. In order to leverage large amounts of patient data, efficient optimisation routines are…

Machine Learning · Computer Science 2016-11-23 Sebastian Pölsterl , Nassir Navab , Amin Katouzian

Support vector machine (SVM) is a popular classifier known for accuracy, flexibility, and robustness. However, its intensive computation has hindered its application to large-scale datasets. In this paper, we propose a new optimal leverage…

Methodology · Statistics 2023-08-25 Yixin Han , Jun Yu , Nan Zhang , Cheng Meng , Ping Ma , Wenxuan Zhong , Changliang Zou

We introduce semi-supervised data classification algorithms based on total variation (TV), Reproducing Kernel Hilbert Space (RKHS), support vector machine (SVM), Cheeger cut, labeled and unlabeled data points. We design binary and…

Machine Learning · Computer Science 2012-10-03 Xavier Bresson , Ruiliang Zhang

Support Vector Machines (SVMs) are popular tools for data mining tasks such as classification, regression, and density estimation. However, original SVM (C-SVM) only considers local information of data points on or over the margin.…

Artificial Intelligence · Computer Science 2010-09-28 Xin Liu , Ying Ding , Forrest Sheng Bao

A widely-used tool for binary classification is the Support Vector Machine (SVM), a supervised learning technique that finds the "maximum margin" linear separator between the two classes. While SVMs have been well studied in the batch…

Machine Learning · Computer Science 2014-12-09 Vikram Nathan , Sharath Raghvendra

A mean field variational Bayes approach to support vector machines (SVMs) using the latent variable representation on Polson & Scott (2012) is presented. This representation allows circumvention of many of the shortcomings associated with…

Methodology · Statistics 2013-05-14 Jan Luts , John T. Ormerod

This paper proposes a frequent pattern data mining algorithm based on support vector machine (SVM), aiming to solve the performance bottleneck of traditional frequent pattern mining algorithms in high-dimensional and sparse data…

Machine Learning · Computer Science 2024-12-23 Pochun Li

The parameters of support vector machines (SVMs) such as the penalty parameter and the kernel parameters have a great impact on the classification accuracy and the complexity of the SVM model. Therefore, the model selection in SVM involves…

Machine Learning · Computer Science 2020-07-13 Alaa Tharwat

The support vector machine (SVM) is a powerful and widely used classification algorithm. This paper uses the Karush-Kuhn-Tucker conditions to provide rigorous mathematical proof for new insights into the behavior of SVM. These insights…

Machine Learning · Statistics 2018-10-11 Iain Carmichael , J. S. Marron

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

Kernel-based methods for support vector machines (SVM) have shown highly advantageous performance in various applications. However, they may incur prohibitive computational costs for large-scale sample datasets. Therefore, data reduction…

Optimization and Control · Mathematics 2021-04-27 Shenglong Zhou

Although Support Vector Machine (SVM) algorithm has a high generalization property to classify for unseen examples after training phase and it has small loss value, the algorithm is not suitable for real-life classification and regression…

Machine Learning · Computer Science 2013-12-17 Ferhat Özgür Çatak , Mehmet Erdal Balaban

We review the concept of support vector machines (SVMs) and discuss examples of their use. One of the benefits of SVM algorithms, compared with neural networks and decision trees is that they can be less susceptible to over fitting than…

Data Analysis, Statistics and Probability · Physics 2016-12-21 A. Bethani , A. J. Bevan , J. Hays , T. J. Stevenson

Support vector machines (SVMs) rely on the inherent geometry of a data set to classify training data. Because of this, we believe SVMs are an excellent candidate to guide the development of an analytic feature selection algorithm, as…

Machine Learning · Computer Science 2013-04-23 Carly Stambaugh , Hui Yang , Felix Breuer

Transcription factors regulate gene expression, but how these proteins recognize and specifically bind to their DNA targets is still debated. Machine learning models are effective means to reveal interaction mechanisms. Here we studied the…

Quantum Physics · Physics 2018-03-02 Richard Y. Li , Rosa Di Felice , Remo Rohs , Daniel A. Lidar

Although support vector machines (SVMs) are theoretically well understood, their underlying optimization problem becomes very expensive, if, for example, hundreds of thousands of samples and a non-linear kernel are considered. Several…

Machine Learning · Statistics 2018-02-09 Philipp Thomann , Ingrid Blaschzyk , Mona Meister , Ingo Steinwart

We describe in a rudimentary fashion how SVM(support vector machine) plays the role of classifier in a mathematical setting. We then discuss its application in the study of multiple SNP(single nucleotide polymorphism) variations. Also…

Optimization and Control · Mathematics 2025-10-20 Seung-chan Ahn , Gene Kim , MyungHo Kim