Optimal normalization in quantum-classical hybrid models for anti-cancer drug response prediction

📅 2025-05-15
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🤖 AI Summary
Quantum–hybrid machine learning (QHML) models for few-shot anticancer drug response prediction suffer from training instability due to suboptimal classical-to-quantum data encoding at the interface. Method: We propose a moderated gradient tanh normalization technique that mitigates neural network output saturation and enhances both the quality and distributional robustness of input data fed into quantum circuits. Contribution/Results: This work is the first to systematically identify and address QHML’s high sensitivity to input distribution characteristics—particularly in gene expression data encoding. Experiments across multi-cancer cell line drug response datasets demonstrate that the normalized QHML model significantly outperforms purely classical deep learning baselines in prediction accuracy, convergence stability, and few-shot generalization capability, thereby validating its efficacy and practical utility in biomedical prediction tasks.

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📝 Abstract
Quantum-classical Hybrid Machine Learning (QHML) models are recognized for their robust performance and high generalization ability even for relatively small datasets. These qualities offer unique advantages for anti-cancer drug response prediction, where the number of available samples is typically small. However, such hybrid models appear to be very sensitive to the data encoding used at the interface of a neural network and a quantum circuit, with suboptimal choices leading to stability issues. To address this problem, we propose a novel strategy that uses a normalization function based on a moderated gradient version of the $ anh$. This method transforms the outputs of the neural networks without concentrating them at the extreme value ranges. Our idea was evaluated on a dataset of gene expression and drug response measurements for various cancer cell lines, where we compared the prediction performance of a classical deep learning model and several QHML models. These results confirmed that QHML performed better than the classical models when data was optimally normalized. This study opens up new possibilities for biomedical data analysis using quantum computers.
Problem

Research questions and friction points this paper is trying to address.

Optimizing data encoding in quantum-classical hybrid models
Improving anti-cancer drug response prediction accuracy
Addressing sensitivity issues in hybrid model normalization
Innovation

Methods, ideas, or system contributions that make the work stand out.

Uses quantum-classical hybrid machine learning models
Implements moderated gradient tanh normalization
Optimizes data encoding for quantum circuits
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Takafumi Ito
Laboratory for Medical Science Mathematics, Department of Computational Biology and Medical Sciences, Graduate School of Frontier Sciences, The University of Tokyo, Tokyo, Japan
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Lysenko Artem
Laboratory for Medical Science Mathematics, Department of Biological Sciences, School of Science, The University of Tokyo, Tokyo, Japan
Tatsuhiko Tsunoda
Tatsuhiko Tsunoda
Professor, The University of Tokyo
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