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Support vector machines (SVMs) are widely used machine learning models (e.g., in remote sensing), with formulations for both classification and regression tasks. In the last years, with the advent of working quantum annealers, hybrid SVM…

Emerging Technologies · Computer Science 2024-11-05 Enrico Zardini , Amer Delilbasic , Enrico Blanzieri , Gabriele Cavallaro , Davide Pastorello

The support vector machine (SVM) is a popular machine learning classification method which produces a nonlinear decision boundary in a feature space by constructing linear boundaries in a transformed Hilbert space. It is well known that…

Quantum Physics · Physics 2017-10-31 Rupak Chatterjee , Ting Yu

Kernel-based learning algorithms are widely used in machine learning for problems that make use of the similarity between object pairs. Such algorithms first embed all data points into an alternative space, where the inner product between…

Machine Learning · Statistics 2017-09-21 Amir-Hossein Karimi

Support vector machine (SVM) has achieved many successes in machine learning, especially for a small sample problem. As a famous extension of the traditional SVM, the $\nu$ support vector machine ($\nu$-SVM) has shown outstanding…

Machine Learning · Computer Science 2024-03-05 Zhiji Yang , Wanyi Chen , Huan Zhang , Yitian Xu , Lei Shi , Jianhua Zhao

Much recent work in bioinformatics has focused on the inference of various types of biological networks, representing gene regulation, metabolic processes, protein-protein interactions, etc. A common setting involves inferring network edges…

Quantitative Methods · Quantitative Biology 2007-05-23 Jean-Philippe Vert , Jian Qiu , William Stafford Noble

Support Vector Machines (SVMs) are still one of the most popular and precise classifiers. The Radial Basis Function (RBF) kernel has been used in SVMs to separate among classes with considerable success. However, there is an intrinsic…

Machine Learning · Computer Science 2020-07-17 Karl Thurnhofer-Hemsi , Ezequiel López-Rubio , Miguel A. Molina-Cabello , Kayvan Najarian

Deep metric learning (DML) is a popular approach for images retrieval, solving verification (same or not) problems and addressing open set classification. Arguably, the most common DML approach is with triplet loss, despite significant…

Machine Learning · Computer Science 2019-12-02 Istvan Fehervari , Avinash Ravichandran , Srikar Appalaraju

A Support Vector Machine (SVM) has become a very popular machine learning method for text classification. One reason for this relates to the range of existing kernels which allow for classifying data that is not linearly separable. The…

Machine Learning · Computer Science 2016-01-06 Tim vor der Brück , Steffen Eger , Alexander Mehler

This paper focuses on the problem of kernelizing an existing supervised Mahalanobis distance learner. The following features are included in the paper. Firstly, three popular learners, namely, "neighborhood component analysis", "large…

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

Computer Vision and Pattern Recognition · Computer Science 2023-02-17 Artur Miroszewski , Jakub Mielczarek , Grzegorz Czelusta , Filip Szczepanek , Bartosz Grabowski , Bertrand Le Saux , Jakub Nalepa

Subgradient algorithms for training support vector machines have been quite successful for solving large-scale and online learning problems. However, they have been restricted to linear kernels and strongly convex formulations. This paper…

Machine Learning · Computer Science 2011-11-04 Sangkyun Lee , Stephen J. Wright

In the classical Gaussian SVM classification we use the feature space projection transforming points to normal distributions with fixed covariance matrices (identity in the standard RBF and the covariance of the whole dataset in Mahalanobis…

Machine Learning · Computer Science 2014-08-14 Wojciech Marian Czarnecki , Jacek Tabor

Deep metric learning, which learns discriminative features to process image clustering and retrieval tasks, has attracted extensive attention in recent years. A number of deep metric learning methods, which ensure that similar examples are…

Computer Vision and Pattern Recognition · Computer Science 2019-04-05 Tongtong Yuan , Weihong Deng , Jian Tang , Yinan Tang , Binghui Chen

This paper introduces a new and effective algorithm for learning kernels in a Multi-Task Learning (MTL) setting. Although, we consider a MTL scenario here, our approach can be easily applied to standard single task learning, as well. As…

Machine Learning · Computer Science 2017-07-13 Niloofar Yousefi , Cong Li , Mansooreh Mollaghasemi , Georgios Anagnostopoulos , Michael Georgiopoulos

Any applied mathematical model contains parameters. The paper proposes to use kernel learning for the parametric analysis of the model. The approach consists in setting a distribution on the parameter space, obtaining a finite training…

Optimization and Control · Mathematics 2025-01-27 Vladimir Norkin , Alois Pichler

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

A number of machine learning algorithms are using a metric, or a distance, in order to compare individuals. The Euclidean distance is usually employed, but it may be more efficient to learn a parametric distance such as Mahalanobis metric.…

Machine Learning · Computer Science 2016-12-16 Hoel Le Capitaine

Most existing metric learning methods focus on learning a similarity or distance measure relying on similar and dissimilar relations between sample pairs. However, pairs of samples cannot be simply identified as similar or dissimilar in…

Machine Learning · Computer Science 2021-03-30 Lifeng Gu

Deep Metric Learning (DML) is a group of techniques that aim to measure the similarity between objects through the neural network. Although the number of DML methods has rapidly increased in recent years, most previous studies cannot…

Machine Learning · Computer Science 2022-12-02 Chenkang Zhang , Lei Luo , Bin Gu

Distance metric learning (DML) aims to find an appropriate way to reveal the underlying data relationship. It is critical in many machine learning, pattern recognition and data mining algorithms, and usually require large amount of label…

Machine Learning · Statistics 2018-11-13 Yong Luo , Yonggang Wen , Ling-Yu Duan , Dacheng Tao