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stan 2.19 introduced functions that automatically calculate log likelihood for glms, combining the likelihood step with the previously separate matrix multiplication step. the calculations are even passed to the GPU for possible drastic speedups (~30x??). Using these functions will require me to go back to the original Kronecker product implementation rather than my current 2-step matrix multiplication on two dimensions. Shouldn't be too hard; only need to make sure matrix->vector conversions match the order of the kronecker product (which I can easily precalculate in R).
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