Functional Annotation of Regulatory Pathways Standardized annotations of biomolecules in interaction networks (Gene Ontology) target function of individual molecules. Extending such annotations to pathways is a critical component of functional characterization of cellular signaling at the systems level. We propose a framework for projecting gene regulatory networks onto the space of functional attributes using multigraph models, with the objective of deriving statistically significant pathway annotations. We formalize the problem of identifying statistically over-represented pathways and establish the hardness of this problem by demonstrating the non-monotonicity of common statistical significance measures. We propose a statistical model that emphasizes the modularity of a pathway, and complement the statistical model by an efficient algorithm for computing significant pathways in large regulatory networks. Comprehensive results from our methods on the E. coli transcription network demonstrate that the our approach is effective in identifying known, as well as novel biological pathway annotations. An important aspect of annotating pathways is the derivation of quantitative metrics for distance between sets of annotations. In the second part of the talk, we establish basic intuitive characteristics of admissible measures of functional coherence, and demonstrate that existing, well-accepted measures are ill-suited to comparative analyses involving different entities (domains vs. proteins). We propose a statistically motivated functional similarity measure that takes into account functional specificity as well as the distribution of functional attributes across entity groups to assess functional similarity in a statistically meaningful and biologically interpretable manner. We comprehensively validate our metric on detailed comparisons of PPIs and DDIs. -- This is joint work with Jayesh Pandey (Purdue), Mehmet Koyuturk (Case Western Reserve), and Shankar Subramaniam (UCSD).