{"44569":{"#nid":"44569","#data":{"type":"event","title":"ISyE Statistics Seminar:  Youngmi Hur","body":[{"value":"\u003Cp\u003E\u003Cstrong\u003EISyE Statistics Seminar: A novel methodology for effective wavelet constructions in high dimensions\u003C\/strong\u003E\n\u003C\/p\u003E\n\u003Cp\u003E\u003Cstrong\u003EGUEST LECTURER\u003C\/strong\u003E\u003Cbr \/\u003E\nYoungmi Hur\n\u003C\/p\u003E\n\u003Cp\u003E\u003Cstrong\u003EAFFILIATION\u003C\/strong\u003E\u003Cbr \/\u003E\nAssistant Professor, Department of Applied mathematics and Statistics, Johns Hopkins University; and C.L.E. Moor Instructor, Department of Mathematics, MIT \n\u003C\/p\u003E\n\u003Cp\u003E\u003Cstrong\u003EABSTRACT\u003C\/strong\u003E\u003Cbr \/\u003E\nWe will start with an overview of the wavelet representation along with its applications to image processing. We will then discuss its connection with pyramidal representations such as the Laplacian, and some of existing challenges in constructing the wavelet\/pyramidal representations in high dimensions.\n\u003C\/p\u003E\n\u003Cp\u003ENext, we will describe a new methodology for representing data on regular grids, which is a hybrid of the wavelet and the pyramidal representations. We will present the details of a subclass of these representations, dubbed L-CAMP. The L-CAMP methodology provides effective wavelet constructions in high dimensions in the sense that it has fast algorithms (linear complexity with small constants) for both decomposition and reconstruction, its performance (i.e., its ability to encode smoothness of an underlying data or function) is completely understood, and its localness number (measured as the sum of the volumes of the supports of the underlying mother wavelets) is extremely small.\u003C\/p\u003E","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":[{"value":"ISyE Statistics Seminar: A novel methodology for effective wavelet constructions in high dimensions","format":"limited_html"}],"field_summary_sentence":[{"value":"ISyE Statistics Seminar:  Youngmi Hur"}],"uid":"27216","created_gmt":"2009-10-12 21:22:54","changed_gmt":"2016-10-08 01:48:27","author":"Ruth Gregory","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2007-03-29T12:00:00-04:00","event_time_end":"2007-03-29T13:00:00-04:00","event_time_end_last":"2007-03-29T13:00:00-04:00","gmt_time_start":"2007-03-29 16:00:00","gmt_time_end":"2007-03-29 17:00:00","gmt_time_end_last":"2007-03-29 17:00:00","rrule":null,"timezone":"America\/New_York"},"extras":[],"groups":[{"id":"1242","name":"School of Industrial and Systems Engineering (ISYE)"}],"categories":[],"keywords":[{"id":"6397","name":"effective wavelet constructions in high dimensions"},{"id":"6275","name":"ISyE Statistics Seminar"},{"id":"6396","name":"Youngmi Hur"}],"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\u003EYajun Mei\u003C\/strong\u003E\u003Cbr \/\u003EISyE\u003Cbr \/\u003E\u003Ca href=\u0022mailto:yajun.mei@isye.gatech.edu\u0022\u003EContact Yajun Mei\u003C\/a\u003E\u003Cbr \/\u003E\u003Cstrong\u003E404-894-2300\u003C\/strong\u003E","format":"limited_html"}],"email":[],"slides":[],"orientation":[],"userdata":""}}}