Efficient and Accurate Estimation of Lipschitz Constants for Hybrid Quantum-Classical Decision Models
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917951009980416 |
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| author | Hashemian, Sajjad Arvenaghi, Mohammad Saeed |
| author_facet | Hashemian, Sajjad Arvenaghi, Mohammad Saeed |
| contents | In this paper, we propose a novel framework for efficiently and accurately estimating Lipschitz constants in hybrid quantum-classical decision models. Our approach integrates classical neural network with quantum variational circuits to address critical issues in learning theory such as fairness verification, robust training, and generalization.
By a unified convex optimization formulation, we extend existing classical methods to capture the interplay between classical and quantum layers. This integrated strategy not only provide a tight bound on the Lipschitz constant but also improves computational efficiency with respect to the previous methods. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_07992 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Efficient and Accurate Estimation of Lipschitz Constants for Hybrid Quantum-Classical Decision Models Hashemian, Sajjad Arvenaghi, Mohammad Saeed Quantum Physics Artificial Intelligence In this paper, we propose a novel framework for efficiently and accurately estimating Lipschitz constants in hybrid quantum-classical decision models. Our approach integrates classical neural network with quantum variational circuits to address critical issues in learning theory such as fairness verification, robust training, and generalization. By a unified convex optimization formulation, we extend existing classical methods to capture the interplay between classical and quantum layers. This integrated strategy not only provide a tight bound on the Lipschitz constant but also improves computational efficiency with respect to the previous methods. |
| title | Efficient and Accurate Estimation of Lipschitz Constants for Hybrid Quantum-Classical Decision Models |
| topic | Quantum Physics Artificial Intelligence |
| url | https://arxiv.org/abs/2503.07992 |