{"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/evaluating-the-squared-exponential-covariance","title":"Evaluating the squared-exponential covariance function in Gaussian processes with integral observations","arxiv_id":"1812.07319","date":"2018-12-18","proceeding":null,"authors":["J. N. Hendriks","C. Jidling","A. Wills","T. B. Schön"],"abstract":"This paper deals with the evaluation of double line integrals of the squared\nexponential covariance function. We propose a new approach in which the double\nintegral is reduced to a single integral using the error function. This single\nintegral is then computed with efficiently implemented numerical techniques.\nThe performance is compared against existing state of the art methods and the\nresults show superior properties in numerical robustness and accuracy per\ncomputation time.","url_abs":"http://arxiv.org/abs/1812.07319v1","url_pdf":"http://arxiv.org/pdf/1812.07319v1.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":"evaluating-the-squared-exponential-covariance","repo_url":"https://github.com/jnh277/lineIntSquaredExponential","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[{"task_slug":"gaussian-processes","task_name":"Gaussian Processes"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}