diff --git a/tianshou/highlevel/params/alpha.py b/tianshou/highlevel/params/alpha.py
index 878ae4b..4e8490d 100644
--- a/tianshou/highlevel/params/alpha.py
+++ b/tianshou/highlevel/params/alpha.py
@@ -20,7 +20,7 @@ class AutoAlphaFactory(ToStringMixin, ABC):
         pass
 
 
-class AutoAlphaFactoryDefault(AutoAlphaFactory):  # TODO better name?
+class AutoAlphaFactoryDefault(AutoAlphaFactory):
     def __init__(self, lr: float = 3e-4):
         self.lr = lr
 
@@ -32,5 +32,5 @@ class AutoAlphaFactoryDefault(AutoAlphaFactory):  # TODO better name?
     ) -> tuple[float, torch.Tensor, torch.optim.Optimizer]:
         target_entropy = float(-np.prod(envs.get_action_shape()))
         log_alpha = torch.zeros(1, requires_grad=True, device=device)
-        alpha_optim = torch.optim.Adam([log_alpha], lr=self.lr)
+        alpha_optim = optim_factory.create_optimizer_for_params([log_alpha], self.lr)
         return target_entropy, log_alpha, alpha_optim