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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.17219 |
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| _version_ | 1866915208250785792 |
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| author | Mouchoux, Ronan Moerman, François |
| author_facet | Mouchoux, Ronan Moerman, François |
| contents | This paper introduces a novel mathematical framework for analyzing cyber threat campaigns through fractal geometry. By conceptualizing hierarchical taxonomies (MITRE ATT&CK, DISARM) as snowflake-like structures with tactics, techniques, and sub-techniques forming concentric layers, we establish a rigorous method for campaign comparison using Hutchinson's Theorem and Hausdorff distance metrics. Evaluation results confirm that our fractal representation preserves hierarchical integrity while providing a dimensionality-based complexity assessment that correlates with campaign complexity. The proposed methodology bridges taxonomy-driven cyber threat analysis and computational geometry, providing analysts with both mathematical rigor and interpretable visualizations for addressing the growing complexity of adversarial operations across multiple threat domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_17219 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cyber Campaign Fractals -- Geometric Analysis of Hierarchical Cyber Attack Taxonomies Mouchoux, Ronan Moerman, François Cryptography and Security This paper introduces a novel mathematical framework for analyzing cyber threat campaigns through fractal geometry. By conceptualizing hierarchical taxonomies (MITRE ATT&CK, DISARM) as snowflake-like structures with tactics, techniques, and sub-techniques forming concentric layers, we establish a rigorous method for campaign comparison using Hutchinson's Theorem and Hausdorff distance metrics. Evaluation results confirm that our fractal representation preserves hierarchical integrity while providing a dimensionality-based complexity assessment that correlates with campaign complexity. The proposed methodology bridges taxonomy-driven cyber threat analysis and computational geometry, providing analysts with both mathematical rigor and interpretable visualizations for addressing the growing complexity of adversarial operations across multiple threat domains. |
| title | Cyber Campaign Fractals -- Geometric Analysis of Hierarchical Cyber Attack Taxonomies |
| topic | Cryptography and Security |
| url | https://arxiv.org/abs/2503.17219 |