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Typically, nonlinear Support Vector Machines (SVMs) produce significantly higher classification quality when compared to linear ones but, at the same time, their computational complexity is prohibitive for large-scale datasets: this…

Machine Learning · Computer Science 2021-11-11 S. Cipolla , J. Gondzio

Among various quantum machine learning (QML) algorithms, the quantum kernel method has especially attracted attention due to its compatibility with noisy intermediate-scale quantum devices and its potential to achieve quantum advantage.…

Quantum Physics · Physics 2024-08-07 Keitaro Anai , Shion Ikehara , Yoshichika Yano , Daichi Okuno , Shuntaro Takeda

This work studies the feasibility of applying quantum kernel methods to a real consumer classification task in the NISQ regime. We present a hybrid pipeline that combines a quantum-kernel Support Vector Machine (Q-SVM) with a quantum…

Quantum Physics · Physics 2026-03-04 Laura Sáez-Ortuño , Santiago Forgas-Coll , Massimiliano Ferrara

Motivated by the problem of learning with small sample sizes, this paper shows how to incorporate into support-vector machines (SVMs) those properties that have made convolutional neural networks (CNNs) successful. Particularly important is…

Machine Learning · Computer Science 2022-10-25 Tao Liu , P. R. Kumar , Ruida Zhou , Xi Liu

In this paper, support vector machine (SVM) performance was assessed utilizing a quantum-inspired complementary metal-oxide semiconductor (CMOS) annealer. The primary focus during performance evaluation was the accuracy rate in binary…

Performance · Computer Science 2025-01-07 Ryoga Fukuhara , Makoto Morishita , Takahiro Katagiri , Masatoshi Kawai , Toru Nagai , Tetsuya Hoshino

Quantum machine learning (QML) has witnessed immense progress recently, with quantum support vector machines (QSVMs) emerging as a promising model. This paper focuses on the two existing QSVM methods: quantum kernel SVM (QK-SVM) and quantum…

Quantum Physics · Physics 2024-02-02 Nouhaila Innan , Muhammad Al-Zafar Khan , Biswaranjan Panda , Mohamed Bennai

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

We address the problem of model selection for Support Vector Machine (SVM) classification. For fixed functional form of the kernel, model selection amounts to tuning kernel parameters and the slack penalty coefficient $C$. We begin by…

Disordered Systems and Neural Networks · Physics 2007-05-23 Carl Gold , Peter Sollich

In many problems of supervised tensor learning (STL), real world data such as face images or MRI scans are naturally represented as matrices, which are also called as second order tensors. Most existing classifiers based on tensor…

Machine Learning · Statistics 2018-12-20 Yunfei Ye

Quantum kernel methods have been proposed as a promising approach for leveraging near-term quantum computers for supervised learning, yet rigorous benchmarks against strong classical baselines remain scarce. We present a comprehensive…

Quantum Physics · Physics 2026-04-22 Siavash Kakavand , Christoph Strohmeyer , Michael Schlotter

Support vector machines and kernel methods have recently gained considerable attention in chemoinformatics. They offer generally good performance for problems of supervised classification or regression, and provide a flexible and…

Quantitative Methods · Quantitative Biology 2007-08-02 Pierre Mahé , Jean-Philippe Vert

We present a new approach to obtaining photometric redshifts using a kernel learning technique called Support Vector Machines (SVMs). Unlike traditional spectral energy distribution fitting, this technique requires a large and…

Astrophysics · Physics 2009-11-10 Yogesh Wadadekar

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

In this study, we introduce an innovative Quantum-enhanced Support Vector Machine (QSVM) approach for stellar classification, leveraging the power of quantum computing and GPU acceleration. Our QSVM algorithm significantly surpasses…

Quantum Physics · Physics 2023-11-22 Kuan-Cheng Chen , Xiaotian Xu , Henry Makhanov , Hui-Hsuan Chung , Chen-Yu Liu

This paper presents a review on methods for class-imbalanced learning with the Support Vector Machine (SVM) and its variants. We first explain the structure of SVM and its variants and discuss their inefficiency in learning with…

Machine Learning · Computer Science 2024-07-23 Salim Rezvani , Farhad Pourpanah , Chee Peng Lim , Q. M. Jonathan Wu

In this paper we solve support vector machines in reproducing kernel Banach spaces with reproducing kernels defined on nonsymmetric domains instead of the traditional methods in reproducing kernel Hilbert spaces. Using the orthogonality of…

Machine Learning · Statistics 2015-01-16 Gregory E. Fasshauer , Fred J. Hickernell , Qi Ye

The rapid growth of computer vision and increasingly complex image recognition tasks has exposed fundamental computational limitations of classical machine learning models, motivating the exploration of quantum computing as an emerging new…

Computer Vision and Pattern Recognition · Computer Science 2026-05-28 Sudip Vhaduri , Ryan Gammon , Sayanton Dibbo

Quantum Kernel Estimation (QKE) is a technique based on leveraging a quantum computer to estimate a kernel function that is classically difficult to calculate, which is then used by a classical computer for training a Support Vector Machine…

Quantum Physics · Physics 2023-08-01 Marco Russo , Edoardo Giusto , Bartolomeo Montrucchio

Plant breeders and agricultural researchers can increase crop productivity by identifying desirable features, disease resistance, and nutritional content by analysing the Dry Bean dataset. This study analyses and compares different Support…

Machine Learning · Computer Science 2023-07-18 Anant Mehta , Prajit Sengupta , Divisha Garg , Harpreet Singh , Yosi Shacham Diamand

When neural circuits learn to perform a task, it is often the case that there are many sets of synaptic connections that are consistent with the task. However, only a small number of possible solutions are robust to noise in the input and…

Neurons and Cognition · Quantitative Biology 2022-05-31 Ran Rubin , Haim Sompolinsky
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