[Numpy-discussion] Polynomial implementation in numpy.ma
Charles R Harris
Sat Sep 17 11:52:18 CDT 2011
On Sat, Sep 17, 2011 at 10:40 AM, Charles R Harris <
> 2011/9/14 Stéfan van der Walt <email@example.com>
>> Hi all,
>> There were some failures in the polynomial tests earlier today, and
>> while investigating I saw that numpy.ma implements its own root
>> finder. It uses inversion of a Van der Monde matrix, which I believe
>> may suffer from some numerical instability problems. Given that
>> Charles has gone to some length to implement good polynomial root
>> finders, I think it would be best to employ those instead, and simply
>> pre-filter the data that comes from the masked array module, if
> The test failure arises because the test compares against np.polyfit where
> Travis changed the column scaling, which in turn changed the singular
> values, and it is that comparison that fails.
> The Vandermonde matrix needs to be used for the fitting so nothing should
> be changed there. To fix the test failure, either the test could be modified
> or the ma.polyfit routine can be changed. Probably the latter is the best
> option, the new scaling code can be brought over and maybe the weight and
> covariance options added.Travis' changes needs to be audited in any case to
> make sure all the corner cases are covered.
Note that the enhanced np.polyfit can be called directly with the weight set
to zero for the masked rows, i.e., set w to the compliment of the mask. That
should simplify the code a bit.
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