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SUMMARY:Dynamic Smoothing Meets Gravity - Jim Ramsay (McGill University)
DTSTART:20180319T113000Z
DTEND:20180319T123000Z
UID:TALK102652@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:authors: Jim Ramsay\, Michelle Carey and Juan Li institutions:
   McGill University\, University College Dublin\, and McGill University  S
 ystems of differential equations are often used to model buffering process
 es that modulate a non-smooth high-energy input so as to produce an output
  that is smooth and that distributes the energy load over time and space. 
 Handwriting is buffered in this way.  We show that the smooth complex scri
 pt that spells `"statistics" in Chinese can be represented as buffered ver
 sion of a series of 46 equal-interval step inputs.  The buffer consists of
  three undamped oscillating springs\, one for each orthogonal coordinate. 
  The periods of oscillation vary slightly over the three coordinate in a w
 ay that reflects the masses that are moved by muscle activations.   Our an
 alyses of data on juggling three balls and on lip motion during speech con
 firm that this model works for a wide variety of human motions.  We use th
 e term  "dynamic smoothing" for the estimation of a structured input funct
 ional object along with the buffer characteristics.
LOCATION:Seminar Room 1\, Newton Institute
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