  We develop an intensive embedding for visualizing the space of all
predictions for probabalistic models, using replica theory. Our embedding is
isometric (preserves the distinguishability between models) and faithful
(yields low-dimensional visualizations of models with simple emergent
behavior). We apply our intensive embedding to the Ising model of statistical
mechanics and the $\Lambda$CDM model applied to cosmic microwave background
radiation. It provides an intuitive, quantitative visualization applicable to
renormalization-group calculations and optimal experimental design.
