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Gymnasium/gymnasium/experimental/wrappers/utils.py

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2022-12-10 22:04:14 +00:00
"""Utility functions for the wrappers."""
import numpy as np
class RunningMeanStd:
"""Tracks the mean, variance and count of values."""
# https://en.wikipedia.org/wiki/Algorithms_for_calculating_variance#Parallel_algorithm
def __init__(self, epsilon=1e-4, shape=()):
"""Tracks the mean, variance and count of values."""
self.mean = np.zeros(shape, "float64")
self.var = np.ones(shape, "float64")
self.count = epsilon
def update(self, x):
"""Updates the mean, var and count from a batch of samples."""
batch_mean = np.mean(x, axis=0)
batch_var = np.var(x, axis=0)
batch_count = x.shape[0]
self.update_from_moments(batch_mean, batch_var, batch_count)
def update_from_moments(self, batch_mean, batch_var, batch_count):
"""Updates from batch mean, variance and count moments."""
self.mean, self.var, self.count = update_mean_var_count_from_moments(
self.mean, self.var, self.count, batch_mean, batch_var, batch_count
)
def update_mean_var_count_from_moments(
mean, var, count, batch_mean, batch_var, batch_count
):
"""Updates the mean, var and count using the previous mean, var, count and batch values."""
delta = batch_mean - mean
tot_count = count + batch_count
new_mean = mean + delta * batch_count / tot_count
m_a = var * count
m_b = batch_var * batch_count
M2 = m_a + m_b + np.square(delta) * count * batch_count / tot_count
new_var = M2 / tot_count
new_count = tot_count
return new_mean, new_var, new_count