{"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/special-unitary-parameterized-estimators-of","title":"Special Unitary Parameterized Estimators of Rotation","arxiv_id":"2411.13109","date":"2024-11-20","proceeding":null,"authors":["Akshay Chandrasekhar"],"abstract":"This paper revisits the topic of rotation estimation through the lens of special unitary matrices. We begin by reformulating Wahba's problem using $SU(2)$ to derive multiple solutions that yield linear constraints on corresponding quaternion parameters. We then explore applications of these constraints by formulating efficient methods for related problems. Finally, from this theoretical foundation, we propose two novel continuous representations for learning rotations in neural networks. Extensive experiments validate the effectiveness of the proposed methods.","url_abs":"https://arxiv.org/abs/2411.13109v2","url_pdf":"https://arxiv.org/pdf/2411.13109v2.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":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"special-unitary-parameterized-estimators-of","repo_url":"https://github.com/akschion/SUPER","is_official":1,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"pytorch","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=2411.13109","mcp":{"get_harvested_code_for_paper":{"arxiv_id":"2411.13109"}},"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/akschion/SUPER","reach":null}],"summary":{"ran_draft_wrong":3,"unverified":1},"by_repo_kind":{"official":{"samples":4,"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":0,"samples":[{"code_sha256_prefix":"ec50695ad5451348","entry":"complex_angle","repo":"akschion/super","repo_kind":"official","path":"learning/SUPER_maps.py","file_url":"https://github.com/akschion/super/blob/HEAD/learning/SUPER_maps.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"MISDECLARED","metamorphic_tier":"well_formed","behaviour_fingerprint":false,"licence":"BSD-3-Clause","inline_ok":true,"mcp_get_code":{"code_sha256":"ec50695ad5451348"}},{"code_sha256_prefix":"dc86a5a2232ee4b3","entry":"complex_mag","repo":"akschion/super","repo_kind":"official","path":"learning/SUPER_maps.py","file_url":"https://github.com/akschion/super/blob/HEAD/learning/SUPER_maps.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"MISDECLARED","metamorphic_tier":"well_formed","behaviour_fingerprint":true,"licence":"BSD-3-Clause","inline_ok":true,"mcp_get_code":{"code_sha256":"dc86a5a2232ee4b3"}},{"code_sha256_prefix":"2e4b5522c785b324","entry":"map_2vec","repo":"akschion/super","repo_kind":"official","path":"learning/SUPER_maps.py","file_url":"https://github.com/akschion/super/blob/HEAD/learning/SUPER_maps.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"MISDECLARED","metamorphic_tier":"invariant","behaviour_fingerprint":true,"licence":"BSD-3-Clause","inline_ok":true,"mcp_get_code":{"code_sha256":"2e4b5522c785b324"}},{"code_sha256_prefix":"44d8c934f758ce58","entry":"QuadMobiusRotationSolver","repo":"akschion/SUPER","repo_kind":"official","path":"learning/SUPER_maps.py","file_url":"https://github.com/akschion/SUPER/blob/HEAD/learning/SUPER_maps.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"BSD-3-Clause","inline_ok":true,"mcp_get_code":{"code_sha256":"44d8c934f758ce58"}}]},"arxiv_metadata":null,"syntology_extracted_results":null}