{"43434":{"#nid":"43434","#data":{"type":"event","title":"Numerical methods for optimal experimental design of ill-posed problem","body":[{"value":"\u003Cp\u003E\u003Cstrong\u003ETITLE:\u003C\/strong\u003E Numerical methods for optimal experimental design of ill-posed problems \n\u003C\/p\u003E\n\u003Cp\u003E\u003Cstrong\u003ESPEAKER:\u003C\/strong\u003E  Dr. Eldad Haber\n\u003C\/p\u003E\n\u003Cp\u003E\u003Cstrong\u003EABSTRACT:\u003C\/strong\u003E\n\u003C\/p\u003E\n\u003Cp\u003EWhile experimental design for well-posed inverse linear problems has been well studied, covering a vast range of well-established design criteria and optimization algorithms, its ill-posed counterpart is a rather new topic. The ill-posed nature of the problem entails the incorporation of regularization techniques. The consequent non-stochastic error introduced by regularization, needs to be taken into account when choosing an experimental design. We discuss different ways to define an optimal design that controls both an average total error of regularized estimates and a measure of the total cost of the design. We also introduce a numerical framework that efficiently implements such designs and natively allows for the solution of large-scale problems. To illustrate the possible applications of the methodology, we consider a borehole tomography example and a two-dimensional function recovery problem. \n\u003C\/p\u003E\n\u003Cp\u003EContact: ISyE DOS Optimization Seminars (\u003Ca href=\u0022http:\/\/www2.isye.gatech.edu\/dos\/\u0022 title=\u0022http:\/\/www2.isye.gatech.edu\/dos\/\u0022\u003Ehttp:\/\/www2.isye.gatech.edu\/dos\/\u003C\/a\u003E)\u003C\/p\u003E","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":[{"value":"Numerical methods for optimal experimental design of ill-posed problems","format":"limited_html"}],"field_summary_sentence":[{"value":"Numerical methods for optimal experimental design of ill-posed problem"}],"uid":"27187","created_gmt":"2009-10-12 20:38:10","changed_gmt":"2016-10-08 01:47:38","author":"Anita Race","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2008-09-15T16:00:00-04:00","event_time_end":"2008-09-15T17:00:00-04:00","event_time_end_last":"2008-09-15T17:00:00-04:00","gmt_time_start":"2008-09-15 20:00:00","gmt_time_end":"2008-09-15 21:00:00","gmt_time_end_last":"2008-09-15 21:00:00","rrule":null,"timezone":"America\/New_York"},"extras":[],"groups":[{"id":"1242","name":"School of Industrial and Systems Engineering (ISYE)"}],"categories":[],"keywords":[{"id":"5424","name":"Linear"},{"id":"1377","name":"optimization"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[{"id":"1795","name":"Seminar\/Lecture\/Colloquium"}],"invited_audience":[],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[{"value":"\u003Cstrong\u003EAnita  Race\u003C\/strong\u003E\u003Cbr \/\u003EH. Milton Stewart School of Industrial and Systems Engineering\u003Cbr \/\u003E\u003Ca href=\u0022http:\/\/www.gatech.edu\/contact\/index.html?id=ar9\u0022\u003EContact Anita  Race\u003C\/a\u003E","format":"limited_html"}],"email":[],"slides":[],"orientation":[],"userdata":""}}}