# Is MLE with regularization a bayesian method?

It is usually said that priors on bayesian statistics can be regarded as regularization factors since they penalize solutions where the prior places low density of probability.

Then, given this simple model whose MLE parameters are:
$$argmax_{\mu} \text{ } \mathcal{N}(y; \mu, \sigma)$$

$$argmax_{\mu} \text{ } \mathcal{N}(y; \mu, \sigma) \mathcal{N}(\mu; 0, \sigma_0)$$