{"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/graph-anisotropic-diffusion","title":"Graph Anisotropic Diffusion","arxiv_id":"2205.00354","date":"2022-04-30","proceeding":null,"authors":["Ahmed A. A. Elhag","Gabriele Corso","Hannes Stärk","Michael M. Bronstein"],"abstract":"Traditional Graph Neural Networks (GNNs) rely on message passing, which amounts to permutation-invariant local aggregation of neighbour features. Such a process is isotropic and there is no notion of `direction' on the graph. We present a new GNN architecture called Graph Anisotropic Diffusion. Our model alternates between linear diffusion, for which a closed-form solution is available, and local anisotropic filters to obtain efficient multi-hop anisotropic kernels. We test our model on two common molecular property prediction benchmarks (ZINC and QM9) and show its competitive performance.","url_abs":"https://arxiv.org/abs/2205.00354v1","url_pdf":"https://arxiv.org/pdf/2205.00354v1.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":"graph-anisotropic-diffusion","repo_url":"https://github.com/ahmed-a-a-elhag/gad","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"pytorch","reach":{"status":"ok"}}],"tasks":[{"task_slug":"molecular-property-prediction","task_name":"Molecular Property Prediction"},{"task_slug":"property-prediction","task_name":"Property Prediction"}],"methods":[{"method_slug":"diffusion","method_name":"Diffusion"}],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=2205.00354","mcp":{"get_harvested_code_for_paper":{"arxiv_id":"2205.00354"}},"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":"deterministic:regex_extraction","url":"https://github.com/Ahmed-A-A-Elhag/GAD","reach":{"status":"ok"}},{"provenance":"external:paperswithcode_snapshot_2025-07-28","url":"https://github.com/ahmed-a-a-elhag/gad","reach":{"status":"ok"}}],"summary":{"ran":2,"ran_draft_wrong":2,"ran_fixture":1,"ran_honours":1,"unverified":10},"by_repo_kind":{"official":{"samples":16,"ran":6,"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":16,"samples":[{"code_sha256_prefix":"cca862fcca0c928a","entry":"Diffusion_layer","repo":"ahmed-a-a-elhag/gad","repo_kind":"official","path":"src/gad_layer.py","file_url":"https://github.com/ahmed-a-a-elhag/gad/blob/HEAD/src/gad_layer.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"cca862fcca0c928a"}},{"code_sha256_prefix":"7aa22f3a765ec1c8","entry":"MLP","repo":"ahmed-a-a-elhag/gad","repo_kind":"official","path":"src/gad_layer.py","file_url":"https://github.com/ahmed-a-a-elhag/gad/blob/HEAD/src/gad_layer.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":true,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"7aa22f3a765ec1c8"}},{"code_sha256_prefix":"066438b529d88f47","entry":"get_mask","repo":"ahmed-a-a-elhag/gad","repo_kind":"official","path":"src/gad_layer.py","file_url":"https://github.com/ahmed-a-a-elhag/gad/blob/HEAD/src/gad_layer.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"MISDECLARED","metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"066438b529d88f47"}},{"code_sha256_prefix":"b0908206851f6f04","entry":"scale_amplification","repo":"ahmed-a-a-elhag/gad","repo_kind":"official","path":"src/gad_layer.py","file_url":"https://github.com/ahmed-a-a-elhag/gad/blob/HEAD/src/gad_layer.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"MISDECLARED","metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"b0908206851f6f04"}},{"code_sha256_prefix":"fc7c5b351d7b2ee5","entry":"scale_attenuation","repo":"ahmed-a-a-elhag/gad","repo_kind":"official","path":"src/gad_layer.py","file_url":"https://github.com/ahmed-a-a-elhag/gad/blob/HEAD/src/gad_layer.py","link_basis":"first_harvest_node","language":"python","status":"ran_fixture","verification_level":1,"contract_check":"RAISES","metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"fc7c5b351d7b2ee5"}},{"code_sha256_prefix":"49e0bc6264dd922d","entry":"scale_identity","repo":"ahmed-a-a-elhag/gad","repo_kind":"official","path":"src/gad_layer.py","file_url":"https://github.com/ahmed-a-a-elhag/gad/blob/HEAD/src/gad_layer.py","link_basis":"first_harvest_node","language":"python","status":"ran_honours","verification_level":1,"contract_check":"HONOURS","metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"49e0bc6264dd922d"}},{"code_sha256_prefix":"3dcf757e43305c27","entry":"DGN_Tower","repo":"ahmed-a-a-elhag/gad","repo_kind":"official","path":"src/gad_layer.py","file_url":"https://github.com/ahmed-a-a-elhag/gad/blob/HEAD/src/gad_layer.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":"3dcf757e43305c27"}},{"code_sha256_prefix":"58138a502c266962","entry":"DGN_layer_Simple","repo":"ahmed-a-a-elhag/gad","repo_kind":"official","path":"src/gad_layer.py","file_url":"https://github.com/ahmed-a-a-elhag/gad/blob/HEAD/src/gad_layer.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":"58138a502c266962"}},{"code_sha256_prefix":"6791ad22e0aa9aa9","entry":"DGN_layer_Tower","repo":"ahmed-a-a-elhag/gad","repo_kind":"official","path":"src/gad_layer.py","file_url":"https://github.com/ahmed-a-a-elhag/gad/blob/HEAD/src/gad_layer.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":"6791ad22e0aa9aa9"}},{"code_sha256_prefix":"efbb3f2e73202fac","entry":"GAD_layer","repo":"ahmed-a-a-elhag/gad","repo_kind":"official","path":"src/gad_layer.py","file_url":"https://github.com/ahmed-a-a-elhag/gad/blob/HEAD/src/gad_layer.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":"efbb3f2e73202fac"}},{"code_sha256_prefix":"5804cea4132a88ad","entry":"aggregate_dir_der","repo":"ahmed-a-a-elhag/gad","repo_kind":"official","path":"src/gad_layer.py","file_url":"https://github.com/ahmed-a-a-elhag/gad/blob/HEAD/src/gad_layer.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":"5804cea4132a88ad"}},{"code_sha256_prefix":"dc41de86ee4b05b6","entry":"aggregate_dir_smooth","repo":"ahmed-a-a-elhag/gad","repo_kind":"official","path":"src/gad_layer.py","file_url":"https://github.com/ahmed-a-a-elhag/gad/blob/HEAD/src/gad_layer.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":"dc41de86ee4b05b6"}},{"code_sha256_prefix":"6e209aaa6a7b8d96","entry":"aggregate_max","repo":"ahmed-a-a-elhag/gad","repo_kind":"official","path":"src/gad_layer.py","file_url":"https://github.com/ahmed-a-a-elhag/gad/blob/HEAD/src/gad_layer.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":"6e209aaa6a7b8d96"}},{"code_sha256_prefix":"9f4630576b75f76d","entry":"aggregate_mean","repo":"ahmed-a-a-elhag/gad","repo_kind":"official","path":"src/gad_layer.py","file_url":"https://github.com/ahmed-a-a-elhag/gad/blob/HEAD/src/gad_layer.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":"9f4630576b75f76d"}},{"code_sha256_prefix":"aff66011bd05c244","entry":"aggregate_min","repo":"ahmed-a-a-elhag/gad","repo_kind":"official","path":"src/gad_layer.py","file_url":"https://github.com/ahmed-a-a-elhag/gad/blob/HEAD/src/gad_layer.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":"aff66011bd05c244"}},{"code_sha256_prefix":"7fd902a5c7391edc","entry":"aggregate_sum","repo":"ahmed-a-a-elhag/gad","repo_kind":"official","path":"src/gad_layer.py","file_url":"https://github.com/ahmed-a-a-elhag/gad/blob/HEAD/src/gad_layer.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":"7fd902a5c7391edc"}}]},"arxiv_metadata":null,"syntology_extracted_results":null}