1. Bayesian Metric Multidimensional Scaling
Ryan Bakker
Keith T. Poole

13. Algorithm
Double-Center the Squared Distances to get starts for the Respondents and Political Figures.
Run Nelder-Mead in a Zig-Zag fashion to sharpen the starts.
Run L-BFGS Optimization on all the parameters simultaneously using the results of Theorem II.
Check the Hessian with numerical and analytical 2nd Derivatives.
Use the Configuration from the L-BFGS Optimization as the target Configuration for each element (Configuration in the Slice Sampler) using the results of Theorem II.
Run the Slice Sampler 110,000 times with 10,000 Burn-in (random or non-random starts).