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DTSTART:20190406T160000
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DTSTART;TZID=Australia/Sydney:20190613T100000
DTEND;TZID=Australia/Sydney:20190712T120000
DTSTAMP:20191213T131026
CREATED:20190715T032702Z
LAST-MODIFIED:20190715T032702Z
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SUMMARY:Centre for Geometric Analysis Seminar Series
DESCRIPTION:Speaker\nProf Shinya Okabe (Tohoku University Japan) \nTitle\nThe obstacle problem for the elastic flow defined on the planar open curve \nAbstract\nIn this talk\, we consider the elastic flow defined on planar graphed curves with obstacle. Formally the problem is regarded as the L^2-gradient flow for the elastic energy with obstacle constraint. However\, due to the obstacle constraint\, it is not so clear that solutions to the obstacle problem have a gradient structure for the elastic energy. In this talk\, we prove the existence of local-in-time weak solutions via minimizing movements. Moreover\, we show a gradient structure of the elastic energy of the weak solutions.This talk is based on a joint work with Kensuke Yoshizawa of Tohoku University. \n\nSpeaker\nProf Tatsuya Miura (Tokyo Institute of Technology Japan) \nTitle\nRigidity results for optimal elastic curves via a geometric approach \nAbstract\nIn this talk we study elastic curves\, which are critical points of bending energy. In general there may be (infinitely) many critical points for a given boundary condition\, and hence in order to detect local or global minimizers we usually need to calculate the second variation or compare their energy. The goal of this talk is to introduce our new geometric approach that bypasses calculation of the second variation but implies several necessary conditions on critical points for being locally or globally optimal. Our method not only retrieves Sachkov’s results for planar elasticae\, but also can be applied to more general problems\, e.g. spatial elastic curves. \n
URL:https://news.eis.uow.edu.au/event/the-obstacle-problem-for-the-elastic-flow-defined-on-the-planar-open-curve/
LOCATION:Building 39A Room 208\, University of Wollongong\, Wollongong\, NSW\, Australia
CATEGORIES:Centre for Geometric Analysis,School of Mathematics and Applied Statistics
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ORGANIZER;CN="Centre%20for%20Geometric%20Analysis":MAILTO:vwheeler@uow.edu.au
GEO:-34.4054039;150.87843
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DTSTART;TZID=Australia/Sydney:20190614T100000
DTEND;TZID=Australia/Sydney:20190614T110000
DTSTAMP:20191213T131026
CREATED:20190607T053721Z
LAST-MODIFIED:20190607T053721Z
UID:12621-1560506400-1560510000@news.eis.uow.edu.au
SUMMARY:NIASRA Seminar Series
DESCRIPTION:Speaker\nProfessor Murray Aitkin\, Department of Statistics\, University of Melbourne \nTitle\nStatistical modelling education for Data Science \nAbstract\nMany Universities and National Statistical Societies are grappling with the need to change the statistics curriculum to reflect the current focus on large-scale data analysis. There is little agreement over how the first course should change. Here is a summary of one approach to the first course (of three): \n\na) The research questions\, the survey designs and the data (lots of them) before anything else\, with an early introduction to the deficiencies of observational and voluntary response data;\n\n\nb) The essential roles of probability and Fisherian likelihood;\nc) Visualisation of data with the empirical cdf playing the major role in probability model specification;\nd) Inference based on the likelihood: Bayesian analyses (with emphasis on flat or reference priors) and ML should be given together\, with ML the quadratic approximation to the full log-likelihood;\n\n\ne) Regression models up to GLMs and mixtures;\nf) Missing and incomplete data analysis by EM and Data Augmentation;\ng) Model assessment by credible regions\n\nAn example of a small data set of mobile phone lifetimes from an industrial assessment of repair schedules is used to illustrate the course emphases. \nThe second course covers multi-level designs and multivariate responses. \nThe third course covers n<