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May 2, 20260 citations

Quantum Conflict Measurement in Decision Fusion for Out-of-Distribution Detection.

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YDYilin DongTZT. ZhuXLXinde Li

Key Points

  • This research aims to develop a novel quantum conflict indicator within Quantum Dempster-Shafer theory to address conflict among quantum mass functions.
  • Introduced Quantum Conflict Indicator (QCI) to measure conflict among quantum mass functions.
  • Developed a decision architecture, QCI-Decision, for unsupervised out-of-distribution detection.
  • Compared QCI-Decision with existing methods focusing on classification accuracy and fusion speed.
  • QCI-Decision achieved a classification accuracy deviation of only 1.49% from original model predictions.
  • QCI-Decision improved AUC by up to 0.6% and reduced FPR by up to 1.63% at 95% TNR.
  • QCI-Decision offers approximately threefold faster fusion speed compared to QCI-Fusion with negligible performance degradation.

Abstract

Quantum Dempster-Shafer theory (QDST) derives a quantum mass function (QMF), a fuzzy metric obtained from multiple information sources based on quantum interference. In general, QMF effectively represents and processes uncertain information, but managing conflicts among multiple QMFs remains challenging. To address this issue, we propose a novel quantum conflict indicator (QCI) within the QDST framework. It is the first metric satisfying ideal conflict measurement properties, including non-negativity, symmetry, boundedness, extreme consistency, and insensitivity to refinement. Based on QCI, a novel quantum conflict fusion method (QCI-Fusion) is introduced to fuse highly conflicting QMFs. Moreover, traditional methods, including QCI-Fusion, typically constructs the Quantum Frame of Discernment (QFoD) based on predicted labels, which makes it difficult to cover unseen classes. Therefore, a new decision architecture, QCI-Decision, is proposed for unsupervised detection that rejects out-of-distribution (OOD) samples while maintaining in-distribution (ID) classification. Experimental results show that the classification accuracy of QCI-Decision deviates from the original model predictions by at most 1.49%. Meanwhile, compared with the latest OOD detection methods, QCI-Decision improves the Area Under the Receiver Operating Characteristic Curve (AUC) by up to 0.6% and reduces the False Positive Rate at 95% True Negative Rate (FPR) by up to 1.63%. Moreover, compared with QCI-Fusion, QCI-Decision achieves approximately threefold faster fusion speed with negligible performance degradation, offering a promising solution for open-world quantum information decision.

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Cite This Study

Dong et al. (2026) studied this question.

synapsesocial.com/papers/69f5945c71405d493afff35dhttps://doi.org/10.1109/tpami.2026.3688924
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