{"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/probnum-probabilistic-numerics-in-python","title":"ProbNum: Probabilistic Numerics in Python","arxiv_id":"2112.02100","date":"2021-12-03","proceeding":null,"authors":["Jonathan Wenger","Nicholas Krämer","Marvin Pförtner","Jonathan Schmidt","Nathanael Bosch","Nina Effenberger","Johannes Zenn","Alexandra Gessner","Toni Karvonen","François-Xavier Briol","Maren Mahsereci","Philipp Hennig"],"abstract":"Probabilistic numerical methods (PNMs) solve numerical problems via probabilistic inference. They have been developed for linear algebra, optimization, integration and differential equation simulation. PNMs naturally incorporate prior information about a problem and quantify uncertainty due to finite computational resources as well as stochastic input. In this paper, we present ProbNum: a Python library providing state-of-the-art probabilistic numerical solvers. ProbNum enables custom composition of PNMs for specific problem classes via a modular design as well as wrappers for off-the-shelf use. Tutorials, documentation, developer guides and benchmarks are available online at www.probnum.org.","url_abs":"https://arxiv.org/abs/2112.02100v1","url_pdf":"https://arxiv.org/pdf/2112.02100v1.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":"probnum-probabilistic-numerics-in-python","repo_url":"https://github.com/ceciliakaiyu/mlbq","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"pytorch","reach":{"status":"ok","spdx":"BSD-3-Clause"}}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=2112.02100","mcp":{"get_harvested_code_for_paper":{"arxiv_id":"2112.02100"}},"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/ceciliakaiyu/mlbq","reach":{"status":"ok","spdx":"BSD-3-Clause"}}],"summary":{"unverified":17},"by_repo_kind":{"listed":{"samples":17,"ran":0,"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":"37a11c8606d0a3c5","entry":"BQ","repo":"ceciliakaiyu/mlbq","repo_kind":"listed","path":"src/BQ.py","file_url":"https://github.com/ceciliakaiyu/mlbq/blob/HEAD/src/BQ.py","link_basis":"harvester_set","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":"37a11c8606d0a3c5"}},{"code_sha256_prefix":"cea6fb8f750731f7","entry":"BQsp","repo":"ceciliakaiyu/mlbq","repo_kind":"listed","path":"ODE/ODE_src/BQsp.py","file_url":"https://github.com/ceciliakaiyu/mlbq/blob/HEAD/ODE/ODE_src/BQsp.py","link_basis":"harvester_set","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":"cea6fb8f750731f7"}},{"code_sha256_prefix":"7169f61613ccebcb","entry":"Gauss_ODE","repo":"ceciliakaiyu/mlbq","repo_kind":"listed","path":"ODE/ODE_src/Kernels.py","file_url":"https://github.com/ceciliakaiyu/mlbq/blob/HEAD/ODE/ODE_src/Kernels.py","link_basis":"harvester_set","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":"7169f61613ccebcb"}},{"code_sha256_prefix":"c513babf0d9ccd46","entry":"IE_Matern05","repo":"ceciliakaiyu/mlbq","repo_kind":"listed","path":"PoissonEq/PE_src/KM_IE.py","file_url":"https://github.com/ceciliakaiyu/mlbq/blob/HEAD/PoissonEq/PE_src/KM_IE.py","link_basis":"harvester_set","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":"c513babf0d9ccd46"}},{"code_sha256_prefix":"490768b4c58dcea6","entry":"IE_Matern25_ODE1","repo":"ceciliakaiyu/mlbq","repo_kind":"listed","path":"ODE/ODE_src/KM_IE.py","file_url":"https://github.com/ceciliakaiyu/mlbq/blob/HEAD/ODE/ODE_src/KM_IE.py","link_basis":"harvester_set","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":"490768b4c58dcea6"}},{"code_sha256_prefix":"b39adae7a059ccdd","entry":"KM_Matern05","repo":"ceciliakaiyu/mlbq","repo_kind":"listed","path":"PoissonEq/PE_src/KM_IE.py","file_url":"https://github.com/ceciliakaiyu/mlbq/blob/HEAD/PoissonEq/PE_src/KM_IE.py","link_basis":"harvester_set","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":"b39adae7a059ccdd"}},{"code_sha256_prefix":"ac5386912e2f736e","entry":"KM_Matern25_ODE","repo":"ceciliakaiyu/mlbq","repo_kind":"listed","path":"ODE/ODE_src/KM_IE.py","file_url":"https://github.com/ceciliakaiyu/mlbq/blob/HEAD/ODE/ODE_src/KM_IE.py","link_basis":"harvester_set","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":"ac5386912e2f736e"}},{"code_sha256_prefix":"a5076ed0b172f760","entry":"KM_Matern25_ODE2","repo":"ceciliakaiyu/mlbq","repo_kind":"listed","path":"ODE/ODE_src/KM_IE.py","file_url":"https://github.com/ceciliakaiyu/mlbq/blob/HEAD/ODE/ODE_src/KM_IE.py","link_basis":"harvester_set","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":"a5076ed0b172f760"}},{"code_sha256_prefix":"6be2aeec5b296638","entry":"MLBQ","repo":"ceciliakaiyu/mlbq","repo_kind":"listed","path":"src/MLBQ.py","file_url":"https://github.com/ceciliakaiyu/mlbq/blob/HEAD/src/MLBQ.py","link_basis":"harvester_set","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":"6be2aeec5b296638"}},{"code_sha256_prefix":"2d26f82a99e5543b","entry":"MLBQsp","repo":"ceciliakaiyu/mlbq","repo_kind":"listed","path":"ODE/ODE_src/MLBQsp.py","file_url":"https://github.com/ceciliakaiyu/mlbq/blob/HEAD/ODE/ODE_src/MLBQsp.py","link_basis":"harvester_set","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":"2d26f82a99e5543b"}},{"code_sha256_prefix":"779c6741c8eb70d9","entry":"Matern05","repo":"ceciliakaiyu/mlbq","repo_kind":"listed","path":"PoissonEq/PE_src/Kernels.py","file_url":"https://github.com/ceciliakaiyu/mlbq/blob/HEAD/PoissonEq/PE_src/Kernels.py","link_basis":"harvester_set","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":"779c6741c8eb70d9"}},{"code_sha256_prefix":"5c23478e2fa4c572","entry":"Matern25_ODE","repo":"ceciliakaiyu/mlbq","repo_kind":"listed","path":"ODE/ODE_src/Kernels.py","file_url":"https://github.com/ceciliakaiyu/mlbq/blob/HEAD/ODE/ODE_src/Kernels.py","link_basis":"harvester_set","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":"5c23478e2fa4c572"}},{"code_sha256_prefix":"7645c6e0790a5e5d","entry":"NegllkLoss","repo":"ceciliakaiyu/mlbq","repo_kind":"listed","path":"src/Optimizer.py","file_url":"https://github.com/ceciliakaiyu/mlbq/blob/HEAD/src/Optimizer.py","link_basis":"harvester_set","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":"7645c6e0790a5e5d"}},{"code_sha256_prefix":"b51fa0bb015f4bc2","entry":"ODE_Solver","repo":"ceciliakaiyu/mlbq","repo_kind":"listed","path":"ODE/ODE_src/ODE_Solver.py","file_url":"https://github.com/ceciliakaiyu/mlbq/blob/HEAD/ODE/ODE_src/ODE_Solver.py","link_basis":"harvester_set","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":"b51fa0bb015f4bc2"}},{"code_sha256_prefix":"3e685f95a83dcf5f","entry":"coef_vec","repo":"ceciliakaiyu/mlbq","repo_kind":"listed","path":"PoissonEq/PE_src/Def_alpha.py","file_url":"https://github.com/ceciliakaiyu/mlbq/blob/HEAD/PoissonEq/PE_src/Def_alpha.py","link_basis":"harvester_set","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":"3e685f95a83dcf5f"}},{"code_sha256_prefix":"3dafd941ef95611f","entry":"training_loop","repo":"ceciliakaiyu/mlbq","repo_kind":"listed","path":"src/Optimizer.py","file_url":"https://github.com/ceciliakaiyu/mlbq/blob/HEAD/src/Optimizer.py","link_basis":"harvester_set","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":"3dafd941ef95611f"}},{"code_sha256_prefix":"82987d375735c123","entry":"u_fc","repo":"ceciliakaiyu/mlbq","repo_kind":"listed","path":"PoissonEq/PE_src/u_fc_array.py","file_url":"https://github.com/ceciliakaiyu/mlbq/blob/HEAD/PoissonEq/PE_src/u_fc_array.py","link_basis":"harvester_set","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":"82987d375735c123"}}]},"arxiv_metadata":null,"syntology_extracted_results":null}