{"url":"/method/fast-minimum-norm-attack","slug":"fast-minimum-norm-attack","name":"Fast Minimum-Norm Attack","full_name":"Fast Minimum-Norm Attack","full_name_withheld":false,"description_markdown":"**Fast Minimum-Norm Attack**, or **FNM**, is a type of adversarial attack that works with different $\\ell_{p}$-norm perturbation models ($p=0,1,2,\\infty$), is robust to hyperparameter choices, does not require adversarial starting points, and converges within few lightweight steps. It works by iteratively finding the sample misclassified with maximum confidence within an $\\ell_{p}$-norm constraint of size $\\epsilon$, while adapting $\\epsilon$ to minimize the distance of the current sample to the decision boundary.","description_state":"present","introduced_year":null,"introduced_by":{"title":null,"paper":null,"first_author":null,"n_authors":0,"url_abs":null,"archive_paper_url":null},"source":{"url":"https://arxiv.org/abs/2102.12827v3","title":"Fast Minimum-norm Adversarial Attacks through Adaptive Norm Constraints","url_on_a_paper_host":true},"code_snippet_url":null,"code_snippet_url_on_a_code_host":false,"categories":[{"area":"General","area_id":"general","collection":"Adversarial Attacks","url":"/methods/category/adversarial-attacks","pwc_aliases":[]}],"n_papers_tagged":2,"archive_num_papers":null,"papers_newest_first":[{"paper":"/paper/ho-fmn-hyperparameter-optimization-for-fast","title":"HO-FMN: Hyperparameter Optimization for Fast Minimum-Norm Attacks","date":"2024-07-11","arxiv_id":"2407.08806","n_code_links":1,"syntology":null},{"paper":"/paper/fast-minimum-norm-adversarial-attacks-through","title":"Fast Minimum-norm Adversarial Attacks through Adaptive Norm Constraints","date":"2021-02-25","arxiv_id":"2102.12827","n_code_links":3,"syntology":{"ran":2,"of":2,"unverified":0,"pointer_only":0}}],"papers_shown":2,"tasks":[{"task":"/task/adversarial-robustness","name":"Adversarial Robustness","papers":2},{"task":"/task/adversarial-attack","name":"Adversarial Attack","papers":1},{"task":"/task/hyperparameter-optimization","name":"Hyperparameter Optimization","papers":1}],"tasks_shown":3,"n_tasks":3,"usage_by_year":[{"year":"2021","papers":1},{"year":"2024","papers":1}],"row_source":"embedded","archive":{"source":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","archive_url":"https://paperswithcode.com/method/fast-minimum-norm-attack"},"syntology_read_at":"2026-09-24T18:15:14+00:00"}