Difference

Understanding the Difference Between MAP Estimation and ML Estimation

Understanding the Difference Between MAP Estimation and ML Estimation
  1. What is the difference between MAP and ML?
  2. Why is MAP estimation more acceptable than ML estimation?
  3. What is the difference between MAP hypothesis and maximum likelihood hypothesis?
  4. What is MLE and MAP in machine learning?

What is the difference between MAP and ML?

The difference between MLE/MAP and Bayesian inference

MLE gives you the value which maximises the Likelihood P(D|θ). And MAP gives you the value which maximises the posterior probability P(θ|D). As both methods give you a single fixed value, they're considered as point estimators.

Why is MAP estimation more acceptable than ML estimation?

ML does NOT allow us to inject our prior beliefs about the likely values for Θ in the estimation calcu- lations. MAP allows for the fact that the parameter vector Θ can take values from a distribution that expresses our prior beliefs regarding the parameters.

What is the difference between MAP hypothesis and maximum likelihood hypothesis?

Maximium A Posteriori (MAP) and Maximum Likelihood (ML) are both approaches for making decisions from some observation or evidence. MAP takes into account the prior probability of the considered hypotheses. ML does not.

What is MLE and MAP in machine learning?

Both Maximum Likelihood Estimation (MLE) and Maximum A Posterior (MAP) are used to estimate parameters for a distribution. MLE is also widely used to estimate the parameters for a Machine Learning model, including Naïve Bayes and Logistic regression.

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