{"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/lineax-unified-linear-solves-and-linear-least","title":"Lineax: unified linear solves and linear least-squares in JAX and Equinox","arxiv_id":"2311.17283","date":"2023-11-28","proceeding":null,"authors":["Jason Rader","Terry Lyons","Patrick Kidger"],"abstract":"We introduce Lineax, a library bringing linear solves and linear least-squares to the JAX+Equinox scientific computing ecosystem. Lineax uses general linear operators, and unifies linear solves and least-squares into a single, autodifferentiable API. Solvers and operators are user-extensible, without requiring the user to implement any custom derivative rules to get differentiability. Lineax is available at https://github.com/google/lineax.","url_abs":"https://arxiv.org/abs/2311.17283v1","url_pdf":"https://arxiv.org/pdf/2311.17283v1.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":"lineax-unified-linear-solves-and-linear-least","repo_url":"https://github.com/google/lineax","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"jax","reach":{"status":"ok","spdx":"Apache-2.0"}}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=2311.17283","mcp":{"get_harvested_code_for_paper":{"arxiv_id":"2311.17283"}},"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/google/lineax","reach":{"status":"ok","spdx":"Apache-2.0"}}],"summary":{"ran":8,"unverified":2},"by_repo_kind":{"official":{"samples":10,"ran":8,"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":"a48b712d0f4fd930","entry":"invert_tags","repo":"google/lineax","repo_kind":"official","path":"lineax/_tags.py","file_url":"https://github.com/google/lineax/blob/HEAD/lineax/_tags.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"Apache-2.0","inline_ok":true,"mcp_get_code":{"code_sha256":"a48b712d0f4fd930"}},{"code_sha256_prefix":"c30590f204af2200","entry":"jacobian","repo":"google/lineax","repo_kind":"official","path":"lineax/_misc.py","file_url":"https://github.com/google/lineax/blob/HEAD/lineax/_misc.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"Apache-2.0","inline_ok":true,"mcp_get_code":{"code_sha256":"c30590f204af2200"}},{"code_sha256_prefix":"809e62065ec84219","entry":"resolve_rcond","repo":"google/lineax","repo_kind":"official","path":"lineax/_misc.py","file_url":"https://github.com/google/lineax/blob/HEAD/lineax/_misc.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"Apache-2.0","inline_ok":true,"mcp_get_code":{"code_sha256":"809e62065ec84219"}},{"code_sha256_prefix":"fee475e0e7816aec","entry":"stop_gradient_transpose","repo":"google/lineax","repo_kind":"official","path":"lineax/_solve.py","file_url":"https://github.com/google/lineax/blob/HEAD/lineax/_solve.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":true,"licence":"Apache-2.0","inline_ok":true,"mcp_get_code":{"code_sha256":"fee475e0e7816aec"}},{"code_sha256_prefix":"7d2a879b7a2e29c6","entry":"sum_squares","repo":"google/lineax","repo_kind":"official","path":"lineax/_norm.py","file_url":"https://github.com/google/lineax/blob/HEAD/lineax/_norm.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"Apache-2.0","inline_ok":true,"mcp_get_code":{"code_sha256":"7d2a879b7a2e29c6"}},{"code_sha256_prefix":"41f0f2dbf21c56ef","entry":"transpose_tags","repo":"google/lineax","repo_kind":"official","path":"lineax/_tags.py","file_url":"https://github.com/google/lineax/blob/HEAD/lineax/_tags.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"Apache-2.0","inline_ok":true,"mcp_get_code":{"code_sha256":"41f0f2dbf21c56ef"}},{"code_sha256_prefix":"8246f77328f21ea5","entry":"tree_dot","repo":"google/lineax","repo_kind":"official","path":"lineax/_norm.py","file_url":"https://github.com/google/lineax/blob/HEAD/lineax/_norm.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"Apache-2.0","inline_ok":true,"mcp_get_code":{"code_sha256":"8246f77328f21ea5"}},{"code_sha256_prefix":"bdb9f2ead609a1f7","entry":"tree_where","repo":"google/lineax","repo_kind":"official","path":"lineax/_misc.py","file_url":"https://github.com/google/lineax/blob/HEAD/lineax/_misc.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"Apache-2.0","inline_ok":true,"mcp_get_code":{"code_sha256":"bdb9f2ead609a1f7"}},{"code_sha256_prefix":"c36b199b5608ed5d","entry":"tags_from_checks","repo":"google/lineax","repo_kind":"official","path":"lineax/_tags.py","file_url":"https://github.com/google/lineax/blob/HEAD/lineax/_tags.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"Apache-2.0","inline_ok":true,"mcp_get_code":{"code_sha256":"c36b199b5608ed5d"}},{"code_sha256_prefix":"b0c90a3ae8b1c1ad","entry":"two_norm","repo":"google/lineax","repo_kind":"official","path":"lineax/_norm.py","file_url":"https://github.com/google/lineax/blob/HEAD/lineax/_norm.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"Apache-2.0","inline_ok":true,"mcp_get_code":{"code_sha256":"b0c90a3ae8b1c1ad"}}]},"arxiv_metadata":null,"syntology_extracted_results":null}