2019-10-17

intuitions about marginal likelihoods

Thursdays are low research days. I did almost nothing reportable here according to The Rules. I did have a valuable conversation with Price-Whelan (Flatiron) about marginalized likelihoods, and I started to get an intuition about why our factorization of Gaussian products has the form that it has. It has to do with the fact that the marginalized likelihood (the probability of the data, fully marginalizing out all linear parameters) permits or has variance for the data that is a sum in quadrature of the noise variance and the model variance. Ish!

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