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Quantum Machine Learning (QML) has gathered significant attention through approaches like Quantum Kernel Machines. While these methods hold considerable promise, their quantum nature presents inherent challenges. One major challenge is the…

The optimization of Kernel-Target Alignment (TA) has been recently proposed as a way to reduce the number of hardware resources in quantum classifiers. It allows to exchange highly expressive and costly circuits to moderate size, task…

Computer Vision and Pattern Recognition · Computer Science 2023-06-28 Artur Miroszewski , Jakub Mielczarek , Filip Szczepanek , Grzegorz Czelusta , Bartosz Grabowski , Bertrand Le Saux , Jakub Nalepa

Quantum kernel methods are considered a promising avenue for applying quantum computers to machine learning problems. Identifying hyperparameters controlling the inductive bias of quantum machine learning models is expected to be crucial…

Quantum Physics · Physics 2022-10-18 Ruslan Shaydulin , Stefan M. Wild

Quantum machine learning, focusing on quantum neural networks (QNNs), remains a vastly uncharted field of study. Current QNN models primarily employ variational circuits on an ansatz or a quantum feature map, often requiring multiple…

Quantum Physics · Physics 2024-02-02 Utkarsh Singh , Aaron Z. Goldberg , Khabat Heshami

Financial services is a prospect industry where unlocked near-term quantum utility could yield profitable potential, and, in particular, quantum machine learning algorithms could potentially benefit businesses by improving the quality of…

We develop an approach for building quantum models based on the exponentially growing orthonormal basis of Hartley kernel functions. First, we design a differentiable Hartley feature map parametrized by real-valued argument that enables…

Quantum Physics · Physics 2025-03-24 Hsin-Yu Wu , Vincent E. Elfving , Oleksandr Kyriienko

The design of quantum circuits is often still done manually, for instance by following certain patterns or rule of thumb. While this approach may work well for some problems, it can be a tedious task and present quite the challenge in other…

Quantum Physics · Physics 2023-05-11 Leo Sünkel , Darya Martyniuk , Denny Mattern , Johannes Jung , Adrian Paschke

Dealing with land cover classification of the new image sources has also turned to be a complex problem requiring large amount of memory and processing time. In order to cope with these problems, statistical learning has greatly helped in…

Building a quantum analog of classical deep neural networks represents a fundamental challenge in quantum computing. A key issue is how to address the inherent non-linearity of classical deep learning, a problem in the quantum domain due to…

Since the entry of kernel theory in the field of quantum machine learning, quantum kernel methods (QKMs) have gained increasing attention with regard to both probing promising applications and delivering intriguing research insights.…

Quantum Physics · Physics 2025-04-29 Jan Schnabel , Marco Roth

Clustering is one of the most fundamental tasks in machine learning, and the k-means clustering algorithm is perhaps one of the most widely used clustering algorithms. However, it suffers from several limitations, such as sensitivity to…

Quantum Physics · Physics 2026-04-10 Syed M. Abdullah , Alisha Baba , Muhammad Siddique , Muhammad Faryad

Identifying significant subsets of the genes, gene shaving is an essential and challenging issue for biomedical research for a huge number of genes and the complex nature of biological networks,. Since positive definite kernel based methods…

Machine Learning · Statistics 2018-09-06 Md. Ashad Alam , Mohammad Shahjama , Md. Ferdush Rahman

This paper presents an automated method for optimizing parameters in analog/high-frequency circuits, aiming to maximize performance parameters of a radio-frequency (RF) receiver. The design target includes a reduction of power consumption…

Neural and Evolutionary Computing · Computer Science 2024-03-28 Mingi Kwon , Yeonjun Lee , Ickhyun Song

Kernel methods in Quantum Machine Learning (QML) have recently gained significant attention as a potential candidate for achieving a quantum advantage in data analysis. Among other attractive properties, when training a kernel-based model…

Quantum Physics · Physics 2024-04-16 Supanut Thanasilp , Samson Wang , M. Cerezo , Zoë Holmes

Kernel methods serve as powerful tools to capture nonlinear patterns behind data in machine learning. The quantum kernel, integrating kernel theory with quantum computing, has attracted widespread attention. However, existing studies…

Quantum Physics · Physics 2025-05-23 Jing Li , Yanqi Song , Sujuan Qin , Fei Gao

Given the complexity of genetic risk prediction, there is a critical need for the development of novel methodologies that can effectively capture intricate genotype--phenotype relationships (e.g., nonlinear) while remaining statistically…

Applications · Statistics 2025-10-03 Heng Ge , Qing Lu

Neural kernels have drastically increased performance on diverse and nonstandard data modalities but require significantly more compute, which previously limited their application to smaller datasets. In this work, we address this by…

Machine Learning · Statistics 2023-03-10 Ben Adlam , Jaehoon Lee , Shreyas Padhy , Zachary Nado , Jasper Snoek

Kernel methods, particularly kernel ridge regression (KRR), are time-proven, powerful nonparametric regression techniques known for their rich capacity, analytical simplicity, and computational tractability. The analysis of their predictive…

Statistics Theory · Mathematics 2025-09-23 Xin Bing , Xin He , Chao Wang

Kernel methods play a critical role in many machine learning algorithms. They are useful in manifold learning, classification, clustering and other data analysis tasks. Setting the kernel's scale parameter, also referred to as the kernel's…

Machine Learning · Computer Science 2019-06-06 Ofir Lindenbaum , Moshe Salhov , Arie Yeredor , Amir Averbuch

Recently, machine learning had a remarkable impact, from scientific to everyday-life applications. However, complex tasks often imply unfeasible energy and computational power consumption. Quantum computation might lower such requirements,…

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