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Machine Learning is a multidisciplinary field which aims to understand and design algorithms that automatically extract useful information from data. Since real world data are typically noisy, ambiguous and occasionally erroneous, a central requirement of a learning system is that it must be able to handle uncertainty. Probability theory provides an ideal basis for representing and manipulating uncertain knowledge, so many successful algorithms in machine learning are based on probabilistic i.e. Bayesian inference. Bayesian inference provides a principled framework for machine learning, but exact inference is often intractable, so most algorithms rely on approximations such as variational methods or Markov chain Monte Carlo.
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