{"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/normalizing-flows-on-the-product-space-of-so","title":"Normalizing Flows on the Product Space of SO(3) Manifolds for Probabilistic Human Pose Modeling","arxiv_id":"2404.05675","date":"2024-04-08","proceeding":"CVPR 2024 1","authors":["Olaf Dünkel","Tim Salzmann","Florian Pfaff"],"abstract":"Normalizing flows have proven their efficacy for density estimation in Euclidean space, but their application to rotational representations, crucial in various domains such as robotics or human pose modeling, remains underexplored. Probabilistic models of the human pose can benefit from approaches that rigorously consider the rotational nature of human joints. For this purpose, we introduce HuProSO3, a normalizing flow model that operates on a high-dimensional product space of SO(3) manifolds, modeling the joint distribution for human joints with three degrees of freedom. HuProSO3's advantage over state-of-the-art approaches is demonstrated through its superior modeling accuracy in three different applications and its capability to evaluate the exact likelihood. This work not only addresses the technical challenge of learning densities on SO(3) manifolds, but it also has broader implications for domains where the probabilistic regression of correlated 3D rotations is of importance.","url_abs":"https://arxiv.org/abs/2404.05675v1","url_pdf":"https://arxiv.org/pdf/2404.05675v1.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":"normalizing-flows-on-the-product-space-of-so","repo_url":"https://github.com/odunkel/huproso","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"pytorch","reach":null}],"tasks":[{"task_slug":"density-estimation","task_name":"Density Estimation"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":"https://syntology.ai/paper/2404.05675","atlas_url":"https://app.syntology.ai/?focus=2404.05675","mcp":{"get_harvested_code_for_paper":{"arxiv_id":"2404.05675"}},"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":"deterministic:regex_extraction","url":"https://github.com/odunkel/HuProSO","reach":null}],"summary":{"ran":1,"ran_draft_wrong":1,"unverified":1},"by_repo_kind":{"official":{"samples":3,"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":3,"samples":[{"code_sha256_prefix":"e2f6685b1acffdea","entry":"BinFind","repo":"odunkel/HuProSO","repo_kind":"official","path":"src/hp/estimators/rotnorm/flow/mobiusflow.py","file_url":"https://github.com/odunkel/HuProSO/blob/HEAD/src/hp/estimators/rotnorm/flow/mobiusflow.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":"e2f6685b1acffdea"}},{"code_sha256_prefix":"8717d23d177323dd","entry":"_h","repo":"odunkel/HuProSO","repo_kind":"official","path":"src/hp/estimators/rotnorm/flow/mobiusflow.py","file_url":"https://github.com/odunkel/HuProSO/blob/HEAD/src/hp/estimators/rotnorm/flow/mobiusflow.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"MISDECLARED","metamorphic_tier":null,"behaviour_fingerprint":true,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"8717d23d177323dd"}},{"code_sha256_prefix":"2fa1a6f021affb00","entry":"MobiusFlow","repo":"odunkel/HuProSO","repo_kind":"official","path":"src/hp/estimators/rotnorm/flow/mobiusflow.py","file_url":"https://github.com/odunkel/HuProSO/blob/HEAD/src/hp/estimators/rotnorm/flow/mobiusflow.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":"2fa1a6f021affb00"}}]},"arxiv_metadata":null,"syntology_extracted_results":null}