def main(args_dict):
# Set up plot
matplotlib_configure_as_notebook()
fig, ax = plt.subplots(1, 2, facecolor='w', figsize=(9.25, 3.25))
# Estimating Z
Ms = np.arange(3, args_dict['M']+1)
ax[0].set_xlabel('number of samples $M$')
ax[0].set_ylabel('MSE of $\hat{Z}$, in units of $Z^2$')
ax[0].set_xlim((np.min(Ms), np.max(Ms)))
ax[0].set_xscale('log')
ax[0].set_yscale('log')
ax[0].grid(b=True, which='major', linestyle='dotted', lw=.5, color='black', alpha=0.5)
ax[0].plot(Ms, Z_Gumbel_MSE(Ms), linestyle='-', color=tableau20(0), label='Gumbel: MSE')
ax[0].plot(Ms, Z_Gumbel_var(Ms), linestyle='dashed', color=tableau20(0), label='Gumbel: var')
ax[0].plot(Ms, Z_Exponential_MSE(Ms), linestyle='-', color=tableau20(2), label='Exponential: MSE')
ax[0].plot(Ms, Z_Exponential_var(Ms), linestyle='dashed', color=tableau20(2), label='Exponential: var')
# Estimating ln Z
Ms = np.arange(1, args_dict['M']+1)
ax[1].set_xlabel('number of samples $M$')
ax[1].set_ylabel('MSE of $\widehat{\ln Z}$, in units of $1$')
ax[1].set_xlim((np.min(Ms), np.max(Ms)))
ax[1].set_xscale('log')
ax[1].set_yscale('log')
ax[1].grid(b=True, which='major', linestyle='dotted', lw=0.5, color='black', alpha=0.5)
ax[1].plot(Ms, lnZ_Gumbel_MSE(Ms), linestyle='-', color=tableau20(0), label='Gumbel: MSE')
ax[1].plot(Ms, lnZ_Exponential_MSE(Ms), linestyle='-', color=tableau20(2), label='Exponential: MSE')
ax[1].plot(Ms, lnZ_Exponential_var(Ms), linestyle='dashed', color=tableau20(2), label='Exponential: var')
# Finalize plot
lgd0 = ax[0].legend()
lgd1 = ax[1].legend()
plt.tight_layout()
save_plot(fig, 'figures/fig1', (lgd0, lgd1,))
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