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Topic: theory vs. practice
Replies: 1   Last Post: May 6, 2014 7:30 AM

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Posts: 3
Registered: 5/6/14
theory vs. practice
Posted: May 5, 2014 11:52 PM
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Occasionally, I attend seminars re applied math,
typically discussing filters, or image processing,
often involving high dimensional spaces.

The focus is usually the efficiency of the algorithms,
or their accuracy, e.g. voice recognition. Of course
they also try to prove theoretical correctness.

And there's the problem, in my view. They throw
around gradients and conjugate gradients and
Laplacians cavalierly. Which is perfectly valid
theoretically, but numerically, doesn't this raise
concerns? Isn't there a vast literature on the
numerical difficulties in implementation?
Especially for derivatives. But they say "no sweat,
it's one line in MATLAB!" ??

Is my skepticism justified, or am I beating a
dead horse? Granted that I'm not a real expert
in the fine points -


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