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2026-07-13 13:30:25 +08:00

56 lines
1.4 KiB
Python
Executable File

import numpy as np
class GaussianFeature(object):
"""
Gaussian feature
gaussian function = exp(-0.5 * (x - m) / v)
"""
def __init__(self, mean, var):
"""
construct gaussian features
Parameters
----------
mean : (n_features, ndim) or (n_features,) ndarray
places to locate gaussian function at
var : float
variance of the gaussian function
"""
if mean.ndim == 1:
mean = mean[:, None]
else:
assert mean.ndim == 2
assert isinstance(var, float) or isinstance(var, int)
self.mean = mean
self.var = var
def _gauss(self, x, mean):
return np.exp(-0.5 * np.sum(np.square(x - mean), axis=-1) / self.var)
def transform(self, x):
"""
transform input array with gaussian features
Parameters
----------
x : (sample_size, ndim) or (sample_size,)
input array
Returns
-------
output : (sample_size, n_features)
gaussian features
"""
if x.ndim == 1:
x = x[:, None]
else:
assert x.ndim == 2
assert np.size(x, 1) == np.size(self.mean, 1)
basis = [np.ones(len(x))]
for m in self.mean:
basis.append(self._gauss(x, m))
return np.asarray(basis).transpose()