{"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/symplectic-recurrent-neural-networks","title":"Symplectic Recurrent Neural Networks","arxiv_id":"1909.13334","date":"2019-09-29","proceeding":"ICLR 2020 1","authors":["Zhengdao Chen","Jianyu Zhang","Martin Arjovsky","Léon Bottou"],"abstract":"We propose Symplectic Recurrent Neural Networks (SRNNs) as learning algorithms that capture the dynamics of physical systems from observed trajectories. An SRNN models the Hamiltonian function of the system by a neural network and furthermore leverages symplectic integration, multiple-step training and initial state optimization to address the challenging numerical issues associated with Hamiltonian systems. We show that SRNNs succeed reliably on complex and noisy Hamiltonian systems. We also show how to augment the SRNN integration scheme in order to handle stiff dynamical systems such as bouncing billiards.","url_abs":"https://arxiv.org/abs/1909.13334v2","url_pdf":"https://arxiv.org/pdf/1909.13334v2.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":"symplectic-recurrent-neural-networks","repo_url":"https://github.com/zhengdao-chen/SRNN","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"pytorch","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=1909.13334","mcp":{"get_harvested_code_for_paper":{"arxiv_id":"1909.13334"}},"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/zhengdao-chen/SRNN","reach":null}],"summary":{"ran_draft_wrong":2,"ran_fixture":1,"unverified":2},"by_repo_kind":{"official":{"samples":5,"ran":3,"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":"3538bf1ed964b67e","entry":"euler","repo":"zhengdao-chen/SRNN","repo_kind":"official","path":"src/model.py","file_url":"https://github.com/zhengdao-chen/SRNN/blob/HEAD/src/model.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"MISDECLARED","metamorphic_tier":"invariant","behaviour_fingerprint":false,"licence":"NOASSERTION","inline_ok":false,"mcp_get_code":{"code_sha256":"3538bf1ed964b67e"}},{"code_sha256_prefix":"5c7729b5ee30fdbb","entry":"leapfrog","repo":"zhengdao-chen/SRNN","repo_kind":"official","path":"src/model.py","file_url":"https://github.com/zhengdao-chen/SRNN/blob/HEAD/src/model.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"MISDECLARED","metamorphic_tier":"invariant","behaviour_fingerprint":false,"licence":"NOASSERTION","inline_ok":false,"mcp_get_code":{"code_sha256":"5c7729b5ee30fdbb"}},{"code_sha256_prefix":"d6d184e01fe12777","entry":"numerically_integrate","repo":"zhengdao-chen/SRNN","repo_kind":"official","path":"src/model.py","file_url":"https://github.com/zhengdao-chen/SRNN/blob/HEAD/src/model.py","link_basis":"first_harvest_node","language":"python","status":"ran_fixture","verification_level":1,"contract_check":"RAISES","metamorphic_tier":"invariant","behaviour_fingerprint":false,"licence":"NOASSERTION","inline_ok":false,"mcp_get_code":{"code_sha256":"d6d184e01fe12777"}},{"code_sha256_prefix":"a517fbd4327a5dde","entry":"predict","repo":"zhengdao-chen/SRNN","repo_kind":"official","path":"src/run_experiments.py","file_url":"https://github.com/zhengdao-chen/SRNN/blob/HEAD/src/run_experiments.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NOASSERTION","inline_ok":false,"mcp_get_code":{"code_sha256":"a517fbd4327a5dde"}},{"code_sha256_prefix":"ed35fbcaa2f55107","entry":"train","repo":"zhengdao-chen/SRNN","repo_kind":"official","path":"src/run_experiments.py","file_url":"https://github.com/zhengdao-chen/SRNN/blob/HEAD/src/run_experiments.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NOASSERTION","inline_ok":false,"mcp_get_code":{"code_sha256":"ed35fbcaa2f55107"}}]},"arxiv_metadata":null,"syntology_extracted_results":null}