[SciPy-user] Using SciPy/NumPy optimization
lechtlr
lechtlr@yahoo....
Wed Mar 14 12:52:08 CDT 2007
Robert:
Thanks for the fmin_tnc example and it's working now. However, I have trouble getting optimal parameters for the model. I have tied varies options from 'fmin_tnc', and nothing seems to work so far. I would appreciate, if you can give some clues to get optimal values. I have attached my python script.
Thanks,
Lex
from numpy import *
from scipy.optimize import fmin_tnc
class LossFunction(object):
def __init__(self, x, y):
self.x = x
self.y = y
def __call__(self, abc):
""" A function suitable for passing to the fmin() minimizers.
"""
a, b, c = abc
y = a*(1.0 + b*c*self.x) ** (-1.0/b)
dy = self.y - y
return dot(dy,dy)
#Generating y for given set of x
a_true = 100.0
b_true = 1.0
c_true = 10.0
T = range(1000, 2500, 10)
data = zeros([len(T), 2], 'd')
for m in range(len(T)):
error = rand(1)/T[m]
r = a_true*(1.0 + b_true*c_true*T[m])**(-1.0/b_true) + error
data[m][0] = T[m]
data[m][1] = r
x = data[:,0]
y = data[:,1]
print 'numer of data points:', len(T)
lf = LossFunction(x, y)
abc0 = [10.0, 1.0, 5.0]
retcode, nfeval, abc_optimal = fmin_tnc(lf, abc0, bounds=None, approx_grad=True)
print 'retcode:', retcode
print 'nfeval:', nfeval
print 'Optimal Parameters:', abc_optimal
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