{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/interpolation-can-hurt-robust-generalization","title":"Interpolation can hurt robust generalization even when there is no noise","arxiv_id":"2108.02883","date":"2021-08-05","proceeding":"NeurIPS 2021 12","authors":["Konstantin Donhauser","Alexandru Ţifrea","Michael Aerni","Reinhard Heckel","Fanny Yang"],"abstract":"Numerous recent works show that overparameterization implicitly reduces variance for min-norm interpolators and max-margin classifiers. These findings suggest that ridge regularization has vanishing benefits in high dimensions. We challenge this narrative by showing that, even in the absence of noise, avoiding interpolation through ridge regularization can significantly improve generalization. We prove this phenomenon for the robust risk of both linear regression and classification and hence provide the first theoretical result on robust overfitting.","url_abs":"https://arxiv.org/abs/2108.02883v2","url_pdf":"https://arxiv.org/pdf/2108.02883v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"interpolation-can-hurt-robust-generalization","repo_url":"https://github.com/michaelaerni/interpolation_robustness","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"jax","reach":null},{"paper_slug":"interpolation-can-hurt-robust-generalization","repo_url":"https://github.com/DonhauserK/DonhauserK.github.io","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":{"status":"ok"}}],"tasks":[{"task_slug":"regression-1","task_name":"regression"}],"methods":[{"method_slug":"linear-regression","method_name":"Linear Regression"},{"method_slug":"logistic-regression","method_name":"Logistic Regression"}],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=2108.02883","mcp":{"get_harvested_code_for_paper":{"arxiv_id":"2108.02883"}},"developers":"https://syntology.ai/developers","read_at":"2026-09-24T18:15:14+00:00","read_at_is":"when the build read Syntology's graph, not when any sample ran","claim":"Per-sample execution status on synthesized fixtures; not a correctness claim about the paper. Samples come from repositories linked to the paper, official or community; repo_kind says which.","repos":[{"provenance":"external:paperswithcode_snapshot_2025-07-28","url":"https://github.com/DonhauserK/DonhauserK.github.io","reach":{"status":"ok"}},{"provenance":"external:paperswithcode_snapshot_2025-07-28","url":"https://github.com/michaelaerni/interpolation_robustness","reach":null}],"summary":{"ran_draft_wrong":2},"by_repo_kind":{"official":{"samples":2,"ran":2,"repositories":1}},"repo_kind_vocabulary":{"official":"The archive marks this repository official for the paper","named_in_paper":"The archive records that the paper mentions this repository; it is not marked official","listed":"In the archive's code links for this paper, not marked official and not recorded as mentioned in the paper","found_in_text":"Syntology found this repository in the paper's own text; whether it is the authors' implementation is not asserted","community":"Not in the archive's code links for this paper; a community repository Syntology harvested"},"n_pointer_only_for_licence":2,"samples":[{"code_sha256_prefix":"e1113cb36be720cb","entry":"build_config","repo":"michaelaerni/interpolation_robustness","repo_kind":"official","path":"src/interpolation_robustness/experiments/linear_regression.py","file_url":"https://github.com/michaelaerni/interpolation_robustness/blob/HEAD/src/interpolation_robustness/experiments/linear_regression.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"OUTPUT_MISDECLARED","metamorphic_tier":"deterministic","behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"e1113cb36be720cb"}},{"code_sha256_prefix":"539fe3e6b10dc082","entry":"build_config","repo":"michaelaerni/interpolation_robustness","repo_kind":"official","path":"src/interpolation_robustness/experiments/logistic_regression.py","file_url":"https://github.com/michaelaerni/interpolation_robustness/blob/HEAD/src/interpolation_robustness/experiments/logistic_regression.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"OUTPUT_MISDECLARED","metamorphic_tier":"deterministic","behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"539fe3e6b10dc082"}}]},"arxiv_metadata":null,"syntology_extracted_results":null}