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  1. POHow to speed up the rjags model training in Bayesian ranking?
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    1. COWhether Stan would be faster depends on the model. But one thing we emphasize in our comparisons between Stan and BUGS-derivatives is that the wall time to complete a fixed number of iterations is not as relevant as the number of effective samples from the posterior distribution per second. Sometimes Gibbs samplers complete many iterations in a short period of time but the draws are highly dependent and thus yield few effective samples from the posterior distribution. In any event, if JAGS isn't feasible for your problem, then you should probably give Stan a try.
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    2. CO@BenGoodrich I am doing a Bayesian ranking problem. Traditionally, one observation means one X[i, 1:N]-Y[i] pair, where X[i, 1:N] means the i-th item is represented the K-predictor vector, and Y[i] is a response value. The objective is to minimize the point-wise error of predicted values,for example, least square error.
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    3. CO@BenGoodrich A ranking problem is different. Since we more care about the order, we use a pair-wise 1-0 indicator to represent the order between Y[i] and Y[j]. We treat this 1-0 indicator as an observation. Therefore, assuming we have K items: Y[1:K], the number of indicator is 0.5*K*(K-1). Hence when K is increased from 500 to 5000, the number of observations is very large, the garph size of the rjags model is large too and the log-posterior will be very small.
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