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do we know if the rounding errors are a big deal for numerical methods that can tolerate inaccuracy (like gradient descent for machine learning)?
by dnautics 5y ago
do we know if the rounding errors are a big deal for numerical methods that can tolerate inaccuracy (like gradient descent for machine learning)?
- klyrs 5y agoYou want to converge on a local minimum, don't you? We can't guarantee that with unstable algorithms.
- hamilyon2 5y agoRounding errors, underflows and instability in floats are very well known problems, a big deal if you do anything but graphics.
- nestorD 5y agoIt depends. I have seen some algorithms (the example that comes to mind was a clustering) become worse solely due to numerical error. When that happens, if you are not equiped to measure the numerical error or at least trained to suspect it, you might think that it is just the algorithm that is not working.