Bayesian Metric Multidimensional Scaling

Ryan BakkerKeith T. Poole

Algorithm1. Double-Center the Squared Distances to get starts for

the Respondents and Political Figures.2. Run Nelder-Mead in a Zig-Zag fashion to sharpen the

starts.3. Run L-BFGS Optimization on all the parameters

simultaneously using the results of Theorem II.4. Check the Hessian with numerical and analytical 2nd

Derivatives.5. 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.

6. Run the Slice Sampler 110,000 times with 10,000 Burn-in (random or non-random starts).