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The quantum kernel method results clearly outperformed a classical SVM when analyzing low-resolution images with minimal feature selection on the quantum simulator, with inconsistent results when run on an actual quantum processor. We chose…

Quantum Physics · Physics 2022-12-26 Daniel Beaulieu , Dylan Miracle , Anh Pham , William Scherr

A kernel-based quantum classifier is the most practical and influential quantum machine learning technique for the hyper-linear classification of complex data. We propose a Variational Quantum Approximate Support Vector Machine (VQASVM)…

Quantum Physics · Physics 2023-03-02 Siheon Park , Daniel K. Park , June-Koo Kevin Rhee

In this paper, we extend the methodology developed for Support Vector Machines (SVM) using $\ell_2$-norm ($\ell_2$-SVM) to the more general case of $\ell_p$-norms with $p\ge 1$ ($\ell_p$-SVM). The resulting primal and dual problems are…

Optimization and Control · Mathematics 2021-01-12 Víctor Blanco , Justo Puerto , Antonio M. Rodríguez-Chía

Kernel methods map data into high-dimensional spaces, enabling linear algorithms to learn nonlinear functions without explicitly storing the feature vectors. Quantum kernel methods promise efficient learning by encoding feature maps into…

Quantum Physics · Physics 2025-04-17 Vivek Sabarad , Vishal Varma , T. S. Mahesh

Rapid identification of object from radar cross section (RCS) signals is important for many space and military applications. This identification is a problem in pattern recognition which either neural networks or support vector machines…

Machine Learning · Computer Science 2010-05-31 Marten F. Byl , James T. Demers , Edward A. Rietman

Supervised machine learning is the classification of new data based on already classified training examples. In this work, we show that the support vector machine, an optimized binary classifier, can be implemented on a quantum computer,…

Quantum Physics · Physics 2014-10-01 Patrick Rebentrost , Masoud Mohseni , Seth Lloyd

This article delves into the analysis of performance and utilization of Support Vector Machines (SVMs) for the critical task of forest fire detection using image datasets. With the increasing threat of forest fires to ecosystems and human…

Machine Learning · Statistics 2024-03-11 Ankan Kar , Nirjhar Nath , Utpalraj Kemprai , Aman

Machine learning and quantum computing are being progressively explored to shed light on possible computational approaches to deal with hitherto unsolvable problems. Classical methods for machine learning are ubiquitous in pattern…

Quantum Physics · Physics 2024-07-10 Papri Saha

Counting and classifying blood cells is an important diagnostic tool in medicine. Support Vector Machines are increasingly popular and efficient and could replace artificial neural network systems. Here a method to classify blood cells is…

Applications · Statistics 2008-12-15 Tobias Abenius

We have made initial studies of the potential of support vector machines (SVM) for providing statistical models of nuclear systematics with demonstrable predictive power. Using SVM regression and classification procedures, we have created…

Nuclear Theory · Physics 2007-05-23 Haochen Li , J. W. Clark , E. Mavrommatis , S. Athanassopoulos , K. A. Gernoth

Support Vector Machine (SVM) is a robust machine learning algorithm with broad applications in classification, regression, and outlier detection. SVM requires tuning the regularization parameter (RP) which controls the model capacity and…

Machine Learning · Statistics 2023-05-18 Mahdi Shamsi , Soosan Beheshti

Most metric learning algorithms, as well as Fisher's Discriminant Analysis (FDA), optimize some cost function of different measures of within-and between-class distances. On the other hand, Support Vector Machines(SVMs) and several Multiple…

Machine Learning · Computer Science 2013-09-17 Huyen Do , Alexandros Kalousis

We apply the support vector machine (SVM) algorithm to derive a set of entanglement witnesses (EW) to identify entanglement patterns in families of four-qubit states. The effectiveness of SVM for practical EW implementations stems from the…

Quantum Physics · Physics 2023-03-29 S. V. Vintskevich , N. Bao , A. Nomerotski , P. Stankus , D. A. Grigoriev

The recent physical realisation of quantum computers with dozens to hundreds of noisy qubits has given birth to an intense search for useful applications of their unique capabilities. One area that has received particular attention is…

Quantum Physics · Physics 2023-09-15 Maxwell T. West , Martin Sevior , Muhammad Usman

A satellite image is a remotely sensed image data, where each pixel represents a specific location on earth. The pixel value recorded is the reflection radiation from the earth's surface at that location. Multispectral images are those that…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Purbarag Pathak Choudhury , Ujjal Kr Dutta , Dhruba Kr Bhattacharyya

A support vector machine (SVM) is an algorithm that finds a hyperplane which optimally separates labeled data points in $\mathbb{R}^n$ into positive and negative classes. The data points on the margin of this separating hyperplane are…

Machine Learning · Computer Science 2022-09-19 Henry Adams , Elin Farnell , Brittany Story

Combining information from various image features has become a standard technique in concept recognition tasks. However, the optimal way of fusing the resulting kernel functions is usually unknown in practical applications. Multiple kernel…

Computer Vision and Pattern Recognition · Computer Science 2012-11-26 Alexander Binder , Shinichi Nakajima , Marius Kloft , Christina Müller , Wojciech Samek , Ulf Brefeld , Klaus-Robert Müller , Motoaki Kawanabe

We show how, using linear-algebraic tools developed to prove Tverberg's theorem in combinatorial geometry, we can design new models of multi-class support vector machines (SVMs). These supervised learning protocols require fewer conditions…

Machine Learning · Computer Science 2024-04-26 Pablo Soberón

Support Vector Machines (SVMs) are well-established Machine Learning (ML) algorithms. They rely on the fact that i) linear learning can be formalized as a well-posed optimization problem; ii) non-linear learning can be brought into linear…

Artificial Intelligence · Computer Science 2016-08-16 Christian Gagné , Marc Schoenauer , Michèle Sebag , Marco Tomassini

This paper explores the application of Probabilistic Neural Network (PNN), Support Vector Machine (SVM) and Kmeans clustering as tools for automated classification of massive stellar spectra.

Instrumentation and Methods for Astrophysics · Physics 2016-09-13 S. Kheirdastan , M. Bazarghan