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Machine learning algorithms build a model of the training data. The term "machine learning" is vaguely defined; it includes what is also called statistical learning, reinforcement learning, unsupervised learning, etc. ALWAYS ADD A MORE SPECIFIC TAG.

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MLE vs MAP estimation, when to use which?

If the data is less and you have priors available - "GO FOR MAP". If you have a lot data, the MAP will converge to MLE. Thus in case of lot of data scenario it's always better to do MLE rather than MA …
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