Existence of Adversarial Examples for Random Convolutional Networks via Isoperimetric Inequalities on $\mathbb{so}(d)$
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909649250287616 |
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| author | Daniely, Amit |
| author_facet | Daniely, Amit |
| contents | We show that adversarial examples exist for various random convolutional networks, and furthermore, that this is a relatively simple consequence of the isoperimetric inequality on the special orthogonal group $\mathbb{so}(d)$. This extends and simplifies a recent line of work which shows similar results for random fully connected networks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12613 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence of Adversarial Examples for Random Convolutional Networks via Isoperimetric Inequalities on $\mathbb{so}(d)$ Daniely, Amit Machine Learning Probability We show that adversarial examples exist for various random convolutional networks, and furthermore, that this is a relatively simple consequence of the isoperimetric inequality on the special orthogonal group $\mathbb{so}(d)$. This extends and simplifies a recent line of work which shows similar results for random fully connected networks. |
| title | Existence of Adversarial Examples for Random Convolutional Networks via Isoperimetric Inequalities on $\mathbb{so}(d)$ |
| topic | Machine Learning Probability |
| url | https://arxiv.org/abs/2506.12613 |