{"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/diffusion-source-identification-on-networks","title":"Diffusion Source Identification on Networks with Statistical Confidence","arxiv_id":"2106.04800","date":"2021-06-09","proceeding":null,"authors":["Quinlan Dawkins","Tianxi Li","Haifeng Xu"],"abstract":"Diffusion source identification on networks is a problem of fundamental importance in a broad class of applications, including rumor controlling and virus identification. Though this problem has received significant recent attention, most studies have focused only on very restrictive settings and lack theoretical guarantees for more realistic networks. We introduce a statistical framework for the study of diffusion source identification and develop a confidence set inference approach inspired by hypothesis testing. Our method efficiently produces a small subset of nodes, which provably covers the source node with any pre-specified confidence level without restrictive assumptions on network structures. Moreover, we propose multiple Monte Carlo strategies for the inference procedure based on network topology and the probabilistic properties that significantly improve the scalability. To our knowledge, this is the first diffusion source identification method with a practically useful theoretical guarantee on general networks. We demonstrate our approach via extensive synthetic experiments on well-known random network models and a mobility network between cities concerning the COVID-19 spreading.","url_abs":"https://arxiv.org/abs/2106.04800v2","url_pdf":"https://arxiv.org/pdf/2106.04800v2.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":"diffusion-source-identification-on-networks","repo_url":"https://github.com/lab-sigma/Diffusion-Source-Identification","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[{"method_slug":"diffusion","method_name":"Diffusion"}],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=2106.04800","mcp":{"get_harvested_code_for_paper":{"arxiv_id":"2106.04800"}},"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/lab-sigma/Diffusion-Source-Identification","reach":null}],"summary":{"ran_honours":1,"ran_draft_wrong":1,"unverified":3},"by_repo_kind":{"listed":{"samples":5,"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":5,"samples":[{"code_sha256_prefix":"e848841e534ee64e","entry":"cexpand","repo":"lab-sigma/Diffusion-Source-Identification","repo_kind":"listed","path":"src/diffusion_source/infection_model.py","file_url":"https://github.com/lab-sigma/Diffusion-Source-Identification/blob/HEAD/src/diffusion_source/infection_model.py","link_basis":"first_harvest_node","language":"python","status":"ran_honours","verification_level":1,"contract_check":"HONOURS","metamorphic_tier":"well_formed","behaviour_fingerprint":true,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"e848841e534ee64e"}},{"code_sha256_prefix":"94957fd0def07c09","entry":"load_model","repo":"lab-sigma/Diffusion-Source-Identification","repo_kind":"listed","path":"src/diffusion_source/infection_model.py","file_url":"https://github.com/lab-sigma/Diffusion-Source-Identification/blob/HEAD/src/diffusion_source/infection_model.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":"94957fd0def07c09"}},{"code_sha256_prefix":"618af61fbeefc5ef","entry":"CraneXuConfidence","repo":"lab-sigma/Diffusion-Source-Identification","repo_kind":"listed","path":"src/diffusion_source/algos.py","file_url":"https://github.com/lab-sigma/Diffusion-Source-Identification/blob/HEAD/src/diffusion_source/algos.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"618af61fbeefc5ef"}},{"code_sha256_prefix":"e7c914758d047e5e","entry":"rumor_center","repo":"lab-sigma/Diffusion-Source-Identification","repo_kind":"listed","path":"src/diffusion_source/algos.py","file_url":"https://github.com/lab-sigma/Diffusion-Source-Identification/blob/HEAD/src/diffusion_source/algos.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"e7c914758d047e5e"}},{"code_sha256_prefix":"c9374d66a3e3ea96","entry":"rumor_center_topk","repo":"lab-sigma/Diffusion-Source-Identification","repo_kind":"listed","path":"src/diffusion_source/algos.py","file_url":"https://github.com/lab-sigma/Diffusion-Source-Identification/blob/HEAD/src/diffusion_source/algos.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"c9374d66a3e3ea96"}}]},"arxiv_metadata":null,"syntology_extracted_results":null}