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Auteurs principaux: Pandey, Saurabh, Magri, Luca, Arrigoni, Federica, Golyanik, Vladislav
Format: Preprint
Publié: 2025
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Accès en ligne:https://arxiv.org/abs/2504.13836
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author Pandey, Saurabh
Magri, Luca
Arrigoni, Federica
Golyanik, Vladislav
author_facet Pandey, Saurabh
Magri, Luca
Arrigoni, Federica
Golyanik, Vladislav
contents Multi-model fitting (MMF) presents a significant challenge in Computer Vision, particularly due to its combinatorial nature. While recent advancements in quantum computing offer promise for addressing NP-hard problems, existing quantum-based approaches for model fitting are either limited to a single model or consider multi-model scenarios within outlier-free datasets. This paper introduces a novel approach, the robust quantum multi-model fitting (R-QuMF) algorithm, designed to handle outliers effectively. Our method leverages the intrinsic capabilities of quantum hardware to tackle combinatorial challenges inherent in MMF tasks, and it does not require prior knowledge of the exact number of models, thereby enhancing its practical applicability. By formulating the problem as a maximum set coverage task for adiabatic quantum computers (AQC), R-QuMF outperforms existing quantum techniques, demonstrating superior performance across various synthetic and real-world 3D datasets. Our findings underscore the potential of quantum computing in addressing the complexities of MMF, especially in real-world scenarios with noisy and outlier-prone data.
format Preprint
id arxiv_https___arxiv_org_abs_2504_13836
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Outlier-Robust Multi-Model Fitting on Quantum Annealers
Pandey, Saurabh
Magri, Luca
Arrigoni, Federica
Golyanik, Vladislav
Computer Vision and Pattern Recognition
Multi-model fitting (MMF) presents a significant challenge in Computer Vision, particularly due to its combinatorial nature. While recent advancements in quantum computing offer promise for addressing NP-hard problems, existing quantum-based approaches for model fitting are either limited to a single model or consider multi-model scenarios within outlier-free datasets. This paper introduces a novel approach, the robust quantum multi-model fitting (R-QuMF) algorithm, designed to handle outliers effectively. Our method leverages the intrinsic capabilities of quantum hardware to tackle combinatorial challenges inherent in MMF tasks, and it does not require prior knowledge of the exact number of models, thereby enhancing its practical applicability. By formulating the problem as a maximum set coverage task for adiabatic quantum computers (AQC), R-QuMF outperforms existing quantum techniques, demonstrating superior performance across various synthetic and real-world 3D datasets. Our findings underscore the potential of quantum computing in addressing the complexities of MMF, especially in real-world scenarios with noisy and outlier-prone data.
title Outlier-Robust Multi-Model Fitting on Quantum Annealers
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2504.13836