This work, grounded in quantum probability interpretation and catastrophe of orthogonality, investigates the representational and generalization capabilities of quantum-probabilistic tensor networks in machine learning tasks such as generation and classification, through the lens of loss function behavior and accuracy variation. Experiments conducted on the Fashion-MNIST dataset systematically examine the impact of different hyperparameters on model performance, accompanied by corresponding theoretical analyses. Building on these insights, we propose an improved multi-qubit encoding scheme that enhances the performance of tensor networks in classification tasks. The proposed method demonstrates improvements on the Fashion-MNIST dataset.

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Quantum-Probabilistic Machine Learning: From Catastrophe of Orthogonality to Multi-qubit Encoding

  • Sheng-Chen Bai,
  • Kun Zhang,
  • Shi-Ju Ran

摘要

This work, grounded in quantum probability interpretation and catastrophe of orthogonality, investigates the representational and generalization capabilities of quantum-probabilistic tensor networks in machine learning tasks such as generation and classification, through the lens of loss function behavior and accuracy variation. Experiments conducted on the Fashion-MNIST dataset systematically examine the impact of different hyperparameters on model performance, accompanied by corresponding theoretical analyses. Building on these insights, we propose an improved multi-qubit encoding scheme that enhances the performance of tensor networks in classification tasks. The proposed method demonstrates improvements on the Fashion-MNIST dataset.