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DTSTART;TZID=America/Los_Angeles:20190225T041500
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DTSTAMP:20260420T110139
CREATED:20190129T230104Z
LAST-MODIFIED:20190221T190447Z
UID:1186-1551068100-1551114900@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Measurement Error Modeling using Empirical Phase Functions (Prof. Cornelis Potgieter\, Southern Methodist University)
DESCRIPTION:Measurement error\, formally defined as the difference between the measured value and the true value of a quantity of interest\, is ubiquitous. When a doctor takes your blood pressure\, the instrumentation may not be properly calibrated and the reading is subject to error. When completing an online Harry Potter Sorting Hat quiz\, you may accidentally click the wrong option for a specific question and find yourself in House Slytherin!. The effect of measurement error is sometimes insignificant\, but there are instances where ignored measurement error can be rather consequential. You definitely do not want your doctor to put you on a long-term medication for managing high BP due to an erroneous measurement! \nIn this talk\, I will discuss two problems frequently encountered when measurement error is present in sampled data. The first of these is known as density deconvolution\, which involves estimating the density function of the population of interest. When measurement error is present\, a density function estimated from the sample will have inflated variance\, and interesting population features may be obscured. The second problem relates to regression modeling when the predictor variable is subject to measurement error. Here\, when using the contaminated data to estimate the regression model\, parameter estimates will be biased unless measurement error is properly adjusted for. I will show how the empirical phase functions\, a transformation of the sample data to the complex plane\, can be used to find solutions to both of these problems. \nOh\, and don’t worry too much about your doctor unnecessarily prescribing blood pressure medication. She is well aware that measurement error exists\, and will re-take the measurement\, and also perform other tests before making a diagnosis. Being sorted into House Slytherin though\, there you are on your own…
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-prof-cornelis-potgieter/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Applied Math Seminar
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DTSTART;TZID=America/Los_Angeles:20190228T161500
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DTSTAMP:20260420T110139
CREATED:20190121T190809Z
LAST-MODIFIED:20190126T004351Z
UID:1117-1551370500-1551374100@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Eulerian Approaches based on the Level Set Method for Visualizing Continuous Dynamical Systems (Shingyu Leung\, Department of Mathematics\, HKUST)
DESCRIPTION:One very important concept in understanding a dynamical system is coherent structure. Such structure segments the domain into different regions with similar behavior according to a quantity. When we try to partition space-time into regions according to a Lagrangian quantity advected along with passive tracers\, such class of coherent structure is called the Lagrangian coherent structures (LCSs). Among many\, a simple definition of an LCS uses the finite-time Lyapunov exponent (FTLE). It measures the rate of separation between adjacent particles over a finite time interval with an infinitesimal perturbation in the initial location. In the talk\, we first present various Eulerian-based numerical methods which efficiently compute the flow maps of any continuous dynamical system and\, therefore\, the corresponding FTLE. Based on these techniques we developed\, we will also propose some other useful numerical tools for extracting important structures hidden in the system.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-given-by-shingyu-leung-department-of-mathematics-hkust/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Applied Math Seminar
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