Larry J. Pratt, Ph.D.,<\/a> Senior Scientist,\u00a0Woods Hole Oceanographic Institution<\/em><\/strong><\/p>\n\n\n\nKoopman Theory Applied to Ocean Data<\/h2>\n\n\n\nAbstract<\/h3>\n\n\n\n
Koopman theory can be useful in the treatment of data from various fields of science and engineering. Applications include the formulation of data-based models, the analysis of data, reduction of order, and handling of certain types of big data. At the heart of the theory is the idea that for many nonlinear models there is an equivalent linear model in which the variables are “observables”. In physical\u00a0oceanography, these variables consist of state variables (velocity, temperature, etc.) that we observe along\u00a0with other measurable functions of the state variables: an infinitely\u00a0long list. The linear model therefore operates in an infinite\u00a0dimensional space of observation functions whose evolution in time is governed\u00a0by a linear operator (the Koopman operator). This evlution takes a particularly simple form when voice in terms of the eigenvalues of the operator (Koopman modes) and the Dynamic Mode Decomposition is one method for approximating these modes. I will discuss the theoretical underpinning and implementation of this approach and give an example of application\u00a0to numerical model data from the western Mediterranean Sea and Strait of Gibraltar, a region characterized by a number of time-dependent, nonlinear processes.<\/p>\n","protected":false},"excerpt":{"rendered":"
Speaker Larry J. Pratt, Ph.D., Senior Scientist,\u00a0Woods Hole Oceanographic Institution Koopman Theory Applied to Ocean Data Abstract Koopman theory can be useful in the treatment of data from various fields of science and engineering. Applications include the formulation of data-based models, the analysis of data, reduction of order, and handling of certain types of big […]<\/p>\n","protected":false},"author":2120,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":"","_links_to":"","_links_to_target":""},"categories":[1],"tags":[],"class_list":["post-191279","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"acf":[],"_links":{"self":[{"href":"https:\/\/web.uri.edu\/gso\/wp-json\/wp\/v2\/posts\/191279","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/web.uri.edu\/gso\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/web.uri.edu\/gso\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/web.uri.edu\/gso\/wp-json\/wp\/v2\/users\/2120"}],"replies":[{"embeddable":true,"href":"https:\/\/web.uri.edu\/gso\/wp-json\/wp\/v2\/comments?post=191279"}],"version-history":[{"count":1,"href":"https:\/\/web.uri.edu\/gso\/wp-json\/wp\/v2\/posts\/191279\/revisions"}],"predecessor-version":[{"id":191280,"href":"https:\/\/web.uri.edu\/gso\/wp-json\/wp\/v2\/posts\/191279\/revisions\/191280"}],"wp:attachment":[{"href":"https:\/\/web.uri.edu\/gso\/wp-json\/wp\/v2\/media?parent=191279"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/web.uri.edu\/gso\/wp-json\/wp\/v2\/categories?post=191279"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/web.uri.edu\/gso\/wp-json\/wp\/v2\/tags?post=191279"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}