Recent empirical results on the structural properties of large social and information networks demonstrate that these networks are particularly ill-suited for analysis with many traditional machine learning and data analysis tools. At root, this has to do with the fact that the relationship between structures that may be interpreted as geometric and structures that exhibit empirical signatures of quasi-randomness is substantially more complex in large social and information networks than it is in many more traditional classes of data. After briefly summarizing these empirical results, as well as how they were obtained, I will describe some of the implications of these results for the algorithmic and statistical modeling of large informatics graphs, as well as for performing machine learning and inference on these graphs.