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Main Authors: Dong, Yilin, Zhu, Tianyun, Li, Xinde, Dezert, Jean, Zhou, Rigui, Zhu, Changming, Cao, Lei, Ge, Shuzhi Sam
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2505.06516
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author Dong, Yilin
Zhu, Tianyun
Li, Xinde
Dezert, Jean
Zhou, Rigui
Zhu, Changming
Cao, Lei
Ge, Shuzhi Sam
author_facet Dong, Yilin
Zhu, Tianyun
Li, Xinde
Dezert, Jean
Zhou, Rigui
Zhu, Changming
Cao, Lei
Ge, Shuzhi Sam
contents Quantum Dempster-Shafer Theory (QDST) uses quantum interference effects to derive a quantum mass function (QMF) as a fuzzy metric type from information obtained from various data sources. In addition, QDST uses quantum parallel computing to speed up computation. Nevertheless, the effective management of conflicts between multiple QMFs in QDST is a challenging question. This work aims to address this problem by proposing a Quantum Conflict Indicator (QCI) that measures the conflict between two QMFs in decision-making. Then, the properties of the QCI are carefully investigated. The obtained results validate its compliance with desirable conflict measurement properties such as non-negativity, symmetry, boundedness, extreme consistency and insensitivity to refinement. We then apply the proposed QCI in conflict fusion methods and compare its performance with several commonly used fusion approaches. This comparison demonstrates the superiority of the QCI-based conflict fusion method. Moreover, the Class Description Domain Space (C-DDS) and its optimized version, C-DDS+ by utilizing the QCI-based fusion method, are proposed to address the Out-of-Distribution (OOD) detection task. The experimental results show that the proposed approach gives better OOD performance with respect to several state-of-the-art baseline OOD detection methods. Specifically, it achieves an average increase in Area Under the Receiver Operating Characteristic Curve (AUC) of 1.2% and a corresponding average decrease in False Positive Rate at 95% True Negative Rate (FPR95) of 5.4% compared to the optimal baseline method.
format Preprint
id arxiv_https___arxiv_org_abs_2505_06516
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum Conflict Measurement in Decision Making for Out-of-Distribution Detection
Dong, Yilin
Zhu, Tianyun
Li, Xinde
Dezert, Jean
Zhou, Rigui
Zhu, Changming
Cao, Lei
Ge, Shuzhi Sam
Computer Vision and Pattern Recognition
Quantum Dempster-Shafer Theory (QDST) uses quantum interference effects to derive a quantum mass function (QMF) as a fuzzy metric type from information obtained from various data sources. In addition, QDST uses quantum parallel computing to speed up computation. Nevertheless, the effective management of conflicts between multiple QMFs in QDST is a challenging question. This work aims to address this problem by proposing a Quantum Conflict Indicator (QCI) that measures the conflict between two QMFs in decision-making. Then, the properties of the QCI are carefully investigated. The obtained results validate its compliance with desirable conflict measurement properties such as non-negativity, symmetry, boundedness, extreme consistency and insensitivity to refinement. We then apply the proposed QCI in conflict fusion methods and compare its performance with several commonly used fusion approaches. This comparison demonstrates the superiority of the QCI-based conflict fusion method. Moreover, the Class Description Domain Space (C-DDS) and its optimized version, C-DDS+ by utilizing the QCI-based fusion method, are proposed to address the Out-of-Distribution (OOD) detection task. The experimental results show that the proposed approach gives better OOD performance with respect to several state-of-the-art baseline OOD detection methods. Specifically, it achieves an average increase in Area Under the Receiver Operating Characteristic Curve (AUC) of 1.2% and a corresponding average decrease in False Positive Rate at 95% True Negative Rate (FPR95) of 5.4% compared to the optimal baseline method.
title Quantum Conflict Measurement in Decision Making for Out-of-Distribution Detection
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2505.06516