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Finding local maxima on a loess surface

On May 4, 2012, at 3:00 PM, Diego Rojas wrote:

            
There is no way that I know that will produce a mathematical function  
that would support symbolic manipulations of that sort for the results  
obtainable from a loess-object. I was expecting that you would be  
approaching this numerically and doing evaluations on a grid. Testing  
for equality to 0 is not a good practice if following that route. Sign  
reversal would be a more sensible criterion. ( And you _would_ be  
using predict.loess(). )

Still no data example or code offered, so not pursuing further efforts  
at illustration.
David Winsemius, MD
West Hartford, CT