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Bayesian inference is a method of statistical inference that relies on treating the model parameters as random variables and applying Bayes' theorem to deduce subjective probability statements about the parameters or hypotheses, conditional on the observed dataset.
22
votes
Why is Laplace prior producing sparse solutions?
the equipotentials of L1 and L2 are spherical and diamond-shaped respectively, so L1 is more likely to lead to sparse solutions, as illustrated in Bishop's Pattern Recognition and Machine Learning:
Bayesian … view 👀
However, in order to understand how priors relate to the linear model, we need to understand the Bayesian interpretation of ordinary linear regression. …