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Kernel methods represent one of the most powerful tools in machine learning to tackle problems expressed in terms of function values and derivatives due to their capability to represent and model complex relations. While these methods show…

Statistics Theory · Mathematics 2015-11-06 Bharath K. Sriperumbudur , Zoltan Szabo

Parameterized quantum circuits as machine learning models are typically well described by their representation as a partial Fourier series of the input features, with frequencies uniquely determined by the feature map's generator…

Machine learning has been increasingly utilized in the field of biomedical research to accelerate the drug discovery process. In recent years, the emergence of quantum computing has been followed by extensive exploration of quantum machine…

Current quantum computers require algorithms that use limited resources economically. In quantum machine learning, success hinges on quantum feature maps, which embed classical data into the state space of qubits. We introduce Quantum…

Quantum Physics · Physics 2025-10-07 Jonas Jäger , Philipp Elsässer , Elham Torabian

Quantum control protocols are typically devised in the time domain, leaving their spectral behavior to emerge only a posteriori. Here, we invert this paradigm. Starting from a target frequency-domain filter, we employ the…

Quantum Physics · Physics 2025-06-23 Loris Maria Cangemi , Yoav Woldiger , Amikam Levy , Assaf Hamo

Rare events are essential for understanding the behavior of non-equilibrium and industrial systems. It is of ongoing interest to develop methods for effectively searching for rare events. With the advent of quantum computing and its…

Quantum Physics · Physics 2025-04-24 Alissa Wilms , Laura Ohff , Andrea Skolik , Jens Eisert , Sumeet Khatri , David A. Reiss

As quantum machine-learning architectures mature, a central challenge is no longer their construction, but identifying the regimes in which they offer practical advantages over classical approaches. In this work, we introduce a framework…

Machine Learning · Computer Science 2026-01-21 Brandon B. Le , D. Keller

In large-scale regression problems, random Fourier features (RFFs) have significantly enhanced the computational scalability and flexibility of Gaussian processes (GPs) by defining kernels through their spectral density, from which a finite…

Machine Learning · Computer Science 2024-06-05 Houston Warren , Rafael Oliveira , Fabio Ramos

Implicit neural representations (INRs) have become a powerful paradigm for continuous signal modeling and 3D scene reconstruction, yet classical networks suffer from a well-known spectral bias that limits their ability to capture…

Quantum Physics · Physics 2025-12-16 Yeray Cordero , Paula García-Molina , Fernando Vilariño

In this study, the Quantum-Train Quantum Fast Weight Programmer (QT-QFWP) framework is proposed, which facilitates the efficient and scalable programming of variational quantum circuits (VQCs) by leveraging quantum-driven parameter updates…

Quantum Physics · Physics 2024-12-03 Chen-Yu Liu , Samuel Yen-Chi Chen , Kuan-Cheng Chen , Wei-Jia Huang , Yen-Jui Chang

Quantum Machine Learning (QML) offers a new paradigm for addressing complex financial problems intractable for classical methods. This work specifically tackles the challenge of few-shot credit risk assessment, a critical issue in inclusive…

Kernel learning methods are among the most effective learning methods and have been vigorously studied in the past decades. However, when tackling with complicated tasks, classical kernel methods are not flexible or "rich" enough to…

Machine Learning · Computer Science 2019-10-08 Jiaxuan Xie , Fanghui Liu , Kaijie Wang , Xiaolin Huang

Machine learning and quantum computing are two technologies that are causing a paradigm shift in the performance and behavior of certain algorithms, achieving previously unattainable results. Machine learning (kernel classification) has…

Quantum Physics · Physics 2020-04-28 Siddharth Sharma

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

Implicit neural representations have shown potential in various applications. However, accurately reconstructing the image or providing clear details via image super-resolution remains challenging. This paper introduces Quantum Fourier…

Quantum Physics · Physics 2025-04-29 Hongni Jin , Gurinder Singh , Kenneth M. Merz

Random Fourier features (RFF) represent one of the most popular and wide-spread techniques in machine learning to scale up kernel algorithms. Despite the numerous successful applications of RFFs, unfortunately, quite little is understood…

Machine Learning · Statistics 2019-02-12 Zoltan Szabo , Bharath K. Sriperumbudur

Quantum Implicit Neural Representations (QINRs) include components for learning and execution on gate-based quantum computers. While QINRs recently emerged as a promising new paradigm, many challenges concerning their architecture and…

Computer Vision and Pattern Recognition · Computer Science 2025-08-15 Shuteng Wang , Christian Theobalt , Vladislav Golyanik

The feature vector mapping used to represent chemical systems is a key factor governing the superior data-efficiency of kernel based quantum machine learning (QML) models applicable throughout chemical compound space. Unfortunately, the…

Chemical Physics · Physics 2023-08-02 Danish Khan , Stefan Heinen , O. Anatole von Lilienfeld

Quantum machine learning (QML) is an emerging field that investigates the capabilities of quantum computers for learning tasks. While QML models can theoretically offer advantages such as exponential speed-ups, challenges in data loading…

Quantum Physics · Physics 2025-11-03 Florian J. Kiwit , Bernhard Jobst , Andre Luckow , Frank Pollmann , Carlos A. Riofrío

Client heterogeneity poses significant challenges to the performance of Quantum Federated Learning (QFL). To overcome these limitations, we propose a new approach leveraging deep unfolding, which enables clients to autonomously optimize…

Machine Learning · Computer Science 2025-06-26 Shanika Iroshi Nanayakkara , Shiva Raj Pokhrel