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k-bandits/k-bandits.py
T
2024-06-15 12:27:10 +02:00

57 lines
1.2 KiB
Python

import numpy as np
import matplotlib.pyplot as pl
float_formatter = "{:.3f}".format
np.set_printoptions(formatter={'float_kind': float_formatter})
K = 10
def bandit(bias):
zn = np.random.uniform() + bias
return zn
if __name__ == '__main__':
epsilon = 0.0 # Anti-greediness
rho = 0.01 # reduce epsilon with age
qu = np.zeros(K)
nu = np.zeros(K)
r_vec = []
# init bandits with different biases for shifting reward probability
# -> expected reward q*(a)
ql_star = [-0.4, -0.3, -0.2, -0.1, 0.0, +0.1, +0.2, +0.3, +0.4, +0.5]
N = 1000
n_ages = 1000
for age in range(0, n_ages):
r_sum = 0
for j in range(0, N):
# choose action
z = np.random.uniform()
if z <= epsilon:
# Choose random action
a = np.random.randint(low=0, high=K)
else:
# Choose best action
a = np.argmax(qu)
# get reward from bandit
r = bandit(ql_star[a])
nu[a] = nu[a] + 1
qu[a] = qu[a] + (r - qu[a])/nu[a]
r_sum += r
r_vec.append(r_sum/N)
# Reduce tendency to explore with number of steps (or with age for humans)
epsilon = epsilon*(1-rho)
print(f"ql_star = {ql_star}")
print(f"qu = {qu}")
print(f"nu = {nu}")
pl.plot(np.array(r_vec))
pl.grid()
pl.show()