{"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/data-driven-computing-in-elasticity-via-1","title":"Data-driven computing in elasticity via kernel regression","arxiv_id":null,"date":"2018-12-12","proceeding":"Theoretical and Applied Mechanics Letters 2018 12","authors":["Yoshihiro Kanno"],"abstract":"This paper presents a simple nonparametric regression approach to data-driven computing in elasticity. We apply the kernel regression to the material data set, and formulate a system of nonlinear equations solved to obtain a static equilibrium state of an elastic structure. Preliminary numerical experiments illustrate that, compared with existing methods, the proposed method finds a reasonable solution even if data points distribute coarsely in a given material data set.","url_abs":"https://www.sciencedirect.com/science/article/pii/S2095034918302071","url_pdf":"https://www.sciencedirect.com/science/article/pii/S2095034918302071","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":[],"tasks":[{"task_slug":"stress-strain-relation","task_name":"Stress-Strain Relation"},{"task_slug":"regression-1","task_name":"regression"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[{"leaderboard":"/sota/stress-strain-relation-on-non-linear","task":"Stress-Strain Relation","dataset":"Non-Linear Elasticity Benchmark","model":"Kernel Regression","rank_in_archive_order":2,"of":4,"metrics":{"Time (ms)":"7.18"},"uses_additional_data":false}],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}