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n.py
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n.py
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# lsqfitgp/examples/n.py
#
# Copyright (c) 2020, 2022, 2023, Giacomo Petrillo
#
# This file is part of lsqfitgp.
#
# lsqfitgp is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# lsqfitgp is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with lsqfitgp. If not, see <http://www.gnu.org/licenses/>.
"""
EXAMPLE N.
Where we wonder how much a derivative is allowed to do her own
business compared to her mistress.
"""
import lsqfitgp as lgp
from matplotlib import pyplot as plt
import numpy as np
import gvar
x = np.linspace(-10, 10, 200)
derivs = [0, 1, 2]
gp = lgp.GP(lgp.ExpQuad(scale=2))
for d in derivs:
gp = gp.addx(x, d, deriv=d)
u = gp.prior()
fig, ax = plt.subplots(num='n', clear=True)
ax.axhline(0)
colors = dict()
for deriv in derivs:
m = gvar.mean(u[deriv])
s = gvar.sdev(u[deriv])
patch = ax.fill_between(x, m - s, m + s, label=f'deriv {deriv}', alpha=0.5)
colors[deriv] = patch.get_facecolor()[0]
for sample in gvar.raniter(u, 1):
for deriv in derivs:
ax.plot(x, sample[deriv], '-', color=colors[deriv])
ax.legend(loc='best')
ax.grid(linestyle=':')
fig.show()