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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.01978 |
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| _version_ | 1866916188096823296 |
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| author | Bethune, Louis Novello, Paul Boissin, Thibaut Coiffier, Guillaume Serrurier, Mathieu Vincenot, Quentin Troya-Galvis, Andres |
| author_facet | Bethune, Louis Novello, Paul Boissin, Thibaut Coiffier, Guillaume Serrurier, Mathieu Vincenot, Quentin Troya-Galvis, Andres |
| contents | We propose a new method, dubbed One Class Signed Distance Function (OCSDF), to perform One Class Classification (OCC) by provably learning the Signed Distance Function (SDF) to the boundary of the support of any distribution. The distance to the support can be interpreted as a normality score, and its approximation using 1-Lipschitz neural networks provides robustness bounds against $l2$ adversarial attacks, an under-explored weakness of deep learning-based OCC algorithms. As a result, OCSDF comes with a new metric, certified AUROC, that can be computed at the same cost as any classical AUROC. We show that OCSDF is competitive against concurrent methods on tabular and image data while being way more robust to adversarial attacks, illustrating its theoretical properties. Finally, as exploratory research perspectives, we theoretically and empirically show how OCSDF connects OCC with image generation and implicit neural surface parametrization. Our code is available at https://github.com/Algue-Rythme/OneClassMetricLearning |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_01978 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Robust One-Class Classification with Signed Distance Function using 1-Lipschitz Neural Networks Bethune, Louis Novello, Paul Boissin, Thibaut Coiffier, Guillaume Serrurier, Mathieu Vincenot, Quentin Troya-Galvis, Andres Machine Learning We propose a new method, dubbed One Class Signed Distance Function (OCSDF), to perform One Class Classification (OCC) by provably learning the Signed Distance Function (SDF) to the boundary of the support of any distribution. The distance to the support can be interpreted as a normality score, and its approximation using 1-Lipschitz neural networks provides robustness bounds against $l2$ adversarial attacks, an under-explored weakness of deep learning-based OCC algorithms. As a result, OCSDF comes with a new metric, certified AUROC, that can be computed at the same cost as any classical AUROC. We show that OCSDF is competitive against concurrent methods on tabular and image data while being way more robust to adversarial attacks, illustrating its theoretical properties. Finally, as exploratory research perspectives, we theoretically and empirically show how OCSDF connects OCC with image generation and implicit neural surface parametrization. Our code is available at https://github.com/Algue-Rythme/OneClassMetricLearning |
| title | Robust One-Class Classification with Signed Distance Function using 1-Lipschitz Neural Networks |
| topic | Machine Learning |
| url | https://arxiv.org/abs/2303.01978 |