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Area of Science:

  • Bioinformatics
  • Quantum Computing
  • Computational Biology

Background:

  • Accurate classification of gene expression data is crucial for cancer diagnosis.
  • Existing clustering algorithms face challenges with high-dimensional and noisy biological data.

Purpose of the Study:

  • To introduce a Hybrid Quantum K-Means Clustering Algorithm with automatic cluster detection.
  • To enhance the classification accuracy of cancerous and non-cancerous gene expression data.

Main Methods:

  • Utilizes Quantum Multi-Feature Mapping for state encoding and Swap Test for quantum distance estimation.
  • Employs Quantum Gradient-Based Optimization for dynamic cluster number identification by minimizing intra-cluster variance.
  • Incorporates a probability-proportional distance strategy for initial centroid selection.

Main Results:

  • Achieved superior clustering performance on breast cancer datasets compared to existing quantum K-Means.
  • Demonstrated improved Silhouette Score (0.641 vs. 0.601), Calinski-Harabasz Index (766.57 vs. 617.65), and Davies-Bouldin Index (0.659 vs. 0.704).
  • Showcased enhanced cluster compactness, separation, and accuracy despite slightly higher time complexity.

Conclusions:

  • The Hybrid Quantum K-Means Clustering Algorithm offers significant improvements in accuracy and feasibility for gene expression data classification.
  • The algorithm's resilience to quantum noise and efficiency with high-dimensional data make it promising for bioinformatics and cancer classification.
  • Automatic cluster detection and optimized centroid selection contribute to its robust performance.