[SciPy-User] multidimensional polynomial fit
Sun Jun 13 20:10:52 CDT 2010
On Sun, Jun 13, 2010 at 4:01 PM, Oscar Gerardo Lazo Arjona <
> David Goldsmith <d.l.goldsmith <at> gmail.com> writes:
> > So the number of data _must_ equal the number of terms in the
> (Anything else will be over- or under-determined and require either some
> sort of
> error minimizing fit.) What's your use case; just curious.DG
> No, in general, the number of data points will be different than the number
> terms in the polynomial.
In that case, in what sense are your answers "exact"?
> For lower-dimmensional fits (in particular for
> dimension 1) the number of points is expected to be larger than the number
> terms, but for higher dimmensional polynomials, the number of terms grows
> fast, and will probably be larger than the number of points.
> At this point it works very slowly for dimmensions greater than 2.
> Adjusting a
> set of 125 4-tuples to a polynomial of degree 3 takes approximately 12
> on my intel-core2duo laptop. Perhaps it would be wise to implement it in
> compiled language. I am learning fotran right now, perhaps that would make
> Yes, I will take sage objects out of an eventual contribution to numpy.
> SciPy-User mailing list
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lies, prevents mankind from committing a general suicide. (As interpreted
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