Python-LinAlgError:SVD在线性最小二乘中没有收敛——数据中没有Nans或infs


a = np.array([0.5  , 0.505, 0.51 , 0.515, 0.52 , 0.525, 0.53 , 0.535, 0.54 ,
0.545, 0.55 , 0.555, 0.56 , 0.565, 0.57 , 0.575, 0.58 , 0.585,
0.59 , 0.595])
b = np.array([ 49.62358846,  50.21487603,  53.03564434,  51.68435625,
53.25301205,  54.04002965,  54.97835498,  52.83363803,
59.1954023 ,  59.82532751,  60.33057851,  56.16438356,
53.33333333,  72.22222222,  51.72413793,  41.66666667,
33.33333333,  44.44444444,  25.        , 100.        ])
np.polyfit(a, b, 1)

有时这样做有效,有时这样做会抛出以下错误。有人能重复一遍吗?或者有人知道发生了什么吗?它不应该抛出这样漂亮的数据错误。

*LinAlgError                               Traceback (most recent call last)
<ipython-input-274-d8db33e4c692> in <module>
----> 1 np.polyfit(a, b, 1)
<__array_function__ internals> in polyfit(*args, **kwargs)
C:ProgramDataotherlibsite-packagesnumpylibpolynomial.py in polyfit(x, y, deg, rcond, full, w, cov)
627     scale = NX.sqrt((lhs*lhs).sum(axis=0))
628     lhs /= scale
--> 629     c, resids, rank, s = lstsq(lhs, rhs, rcond)
630     c = (c.T/scale).T  # broadcast scale coefficients
631 
<__array_function__ internals> in lstsq(*args, **kwargs)
C:ProgramDataotherlibsite-packagesnumpylinalglinalg.py in lstsq(a, b, rcond)
2304         # lapack can't handle n_rhs = 0 - so allocate the array one larger in that axis
2305         b = zeros(b.shape[:-2] + (m, n_rhs + 1), dtype=b.dtype)
-> 2306     x, resids, rank, s = gufunc(a, b, rcond, signature=signature, extobj=extobj)
2307     if m == 0:
2308         x[...] = 0
C:ProgramDataotherlibsite-packagesnumpylinalglinalg.py in _raise_linalgerror_lstsq(err, flag)
98 
99 def _raise_linalgerror_lstsq(err, flag):
--> 100     raise LinAlgError("SVD did not converge in Linear Least Squares")
101 
102 def get_linalg_error_extobj(callback):
LinAlgError: SVD did not converge in Linear Least Squares*

我在这里发现了完全相同的问题:numpy.linalg.LinAlgError:SVD在第一次仅运行时没有收敛于线性最小二乘

从那以后,在参加数据科学学习课程时又遇到了同样的问题。如果你再次运行完全相同的代码,它就会工作。。。有正当的理由解释为什么不会出现趋同,比如NaNs等,但正如《疯狂科学家》所指出的,SVD似乎存在真正的问题。

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