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Quantum Machine Learning: Adaptive Regularization via Quantum States

Jincheng Zhang

Published Sep 6, 2026• 0 citations
Publisher

Abstract

Quantum Machine Learning (QML) is a rapidly evolving field that explores the potential of quantum computers to revolutionize machine learning. This paper proposes a novel quantum machine learning algorithm leveraging adaptive regularization within the quantum state space. We introduce a framework where the model parameters are mapped to quantum states, effectively implementing a form of quantum regularization. This regularization strategy is designed to enhance the model's robustness to noise and data distribution shifts, offering improved generalization performance and resilience in real-world applications. The core mechanism centers around dynamically adjusting the model's quantum state based on the input data, creating a self-correcting system. The research investigates the benefits of this approach compared to traditional machine learning techniques, particularly in scenarios demanding robustness. We demonstrate theoretical and preliminary experimental results showcasing the effectiveness of this quantum regularization method.

DOI
10.5281/zenodo.22458305

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Quantum Machine Learning (QML) is a rapidly evolving field that explores the potential of quantum computers to enhance machine learning algorithms. One promising approach is the utilization of adaptive regularization, which dynamically adjusts regularization parameters during training to improve model generalization. This paper introduces a novel framework for adaptive regularization, termed "Quantum Adaptive Regularization" (QAR), designed to automatically adjust regularization based on the inherent characteristics of the problem being addressed. We propose a mechanism that iteratively analyzes the data distribution and adjusts the regularization strength, leading to improved model performance and robustness. The core of this framework lies in a self-adaptive adjustment process, ensuring the model effectively adapts to the complexities of the training data. The potential of QAR to enhance the capabilities of QML is significant, offering a pathway towards more reliable and adaptable machine learning models. This work provides a foundational study of this innovative approach, demonstrating its effectiveness through theoretical analysis and preliminary experimental results.
Quantum machine learning (QML) is a rapidly developing field that leverages the unique properties of quantum mechanics to enhance machine learning algorithms. This paper explores the application of quantum state-based adaptive learning to improve the generalization capabilities of quantum machine learning models. The core claim is that a novel QML algorithm, dynamically adjusting learning parameters based on input data variations, can significantly improve model performance across diverse datasets. Traditional QML approaches often require manual parameter tuning, limiting adaptability. This research proposes a quantum state-driven learning mechanism that automates parameter adjustments, leading to improved generalization. We present a preliminary implementation demonstrating the potential of this approach to enhance model robustness and predictive accuracy.
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