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Physics Colloquium: "Sloppy Models, Differential Geometry, and the Space of Model Predictions"

Event Type
Other
Sponsor
University of Illnois Department of Physics
Date
Feb 13, 2019   4:00 pm  
Speaker
James Sethna, Cornell University
Contact
Suzanne Hallihan
E-Mail
shalliha@illinois.edu
Phone
217-333-3761
Views
31
Originating Calendar
Physics - Colloquium

Models of systems biology, climate change, ecology, complex instruments, and macroeconomics have parameters that are hard or impossible to measure directly. If we fit these unknown parameters, fiddling with them until they agree with past experiments, how much can we trust their predictions? We have found that predictions can be made despite huge uncertainties in the parameters – many parameter combinations are mostly unimportant to the collective behavior. We will use ideas and methods from differential geometry and approximation theory to explain sloppiness as a ‘hyper-ribbon’ structure of the manifold of possible model predictions. We show that physics theories are also sloppy – that sloppiness may be the underlying reason why the world is comprehensible. We will present new methods for visualizing this model manifold for probabilistic systems – such as the space of possible universes as measured by the cosmic microwave background radiation.

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