{"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/certifiable-robustness-to-graph-perturbations","title":"Certifiable Robustness to Graph Perturbations","arxiv_id":"1910.14356","date":"2019-10-31","proceeding":"NeurIPS 2019 12","authors":["Aleksandar Bojchevski","Stephan Günnemann"],"abstract":"Despite the exploding interest in graph neural networks there has been little effort to verify and improve their robustness. This is even more alarming given recent findings showing that they are extremely vulnerable to adversarial attacks on both the graph structure and the node attributes. We propose the first method for verifying certifiable (non-)robustness to graph perturbations for a general class of models that includes graph neural networks and label/feature propagation. By exploiting connections to PageRank and Markov decision processes our certificates can be efficiently (and under many threat models exactly) computed. Furthermore, we investigate robust training procedures that increase the number of certifiably robust nodes while maintaining or improving the clean predictive accuracy.","url_abs":"https://arxiv.org/abs/1910.14356v2","url_pdf":"https://arxiv.org/pdf/1910.14356v2.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":"certifiable-robustness-to-graph-perturbations","repo_url":"https://github.com/abojchevski/graph_cert","is_official":1,"mentioned_in_paper":0,"mentioned_in_github":0,"framework":"pytorch","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":"https://syntology.ai/paper/1910.14356","atlas_url":"https://app.syntology.ai/?focus=1910.14356","mcp":{"get_harvested_code_for_paper":{"arxiv_id":"1910.14356"}},"developers":"https://syntology.ai/developers","read_at":"2026-09-25T09:33:49+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/abojchevski/graph_cert","reach":null}],"summary":{"unverified":2},"by_repo_kind":{"official":{"samples":2,"ran":0,"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":0,"samples":[{"code_sha256_prefix":"3438a101fa992299","entry":"policy_iteration","repo":"abojchevski/graph_cert","repo_kind":"official","path":"graph_cert/certify.py","file_url":"https://github.com/abojchevski/graph_cert/blob/HEAD/graph_cert/certify.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"3438a101fa992299"}},{"code_sha256_prefix":"b7c3c82aff6faf0a","entry":"upper_bounds_max_ppr_target","repo":"abojchevski/graph_cert","repo_kind":"official","path":"graph_cert/certify.py","file_url":"https://github.com/abojchevski/graph_cert/blob/HEAD/graph_cert/certify.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"b7c3c82aff6faf0a"}}]},"arxiv_metadata":null,"syntology_extracted_results":null}