{"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/synthesis-of-parametric-hybrid-automata-from","title":"Synthesis of Parametric Hybrid Automata from Time Series","arxiv_id":"2208.06383","date":"2022-07-13","proceeding":null,"authors":["Miriam García Soto","Thomas A. Henzinger","Christian Schilling"],"abstract":"We propose an algorithmic approach for synthesizing linear hybrid automata from time-series data. Unlike existing approaches, our approach provides a whole family of models. Each model in the family is guaranteed to capture the input data up to a precision error {\\epsilon}, in the following sense: For each time series, the model contains an execution that is {\\epsilon}-close to the data points. Our construction allows to effectively choose a model from this family with minimal precision error {\\epsilon}. We demonstrate the algorithm's efficiency and its ability to find precise models in two case studies.","url_abs":"https://arxiv.org/abs/2208.06383v1","url_pdf":"https://arxiv.org/pdf/2208.06383v1.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":"synthesis-of-parametric-hybrid-automata-from","repo_url":"https://github.com/hysynth/hysynthparametric","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[{"task_slug":"time-series-1","task_name":"Time Series"},{"task_slug":"time-series","task_name":"Time Series Analysis"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}