They are related, but not all data mining is ML and not all ML is data mining.
Data Mining is a wide field that involves finding, analyzing and correlating data. You can do this using ML, but you could also do this by hand, using statistical methods, or non-ML methods. All you’re doing is looking at data and finding as many useful patterns as you need.
Machine learning is also quite a wide field really that loosely is defined as “Computers teach themselves to do stuff”. Among the ‘stuff’ is pattern extraction and recognition but it can also be “learn how to most effectively move from A to B when there are holes in the floor, the ability to create original pieces of art, or get really good at playing games.
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