Systems, methods, and apparatus for searching for a combination of compounds of therapeutic interest are provided. Cell-based assays are performed, each cell-based assay exposing a different sample of cells to a different compound in a plurality of compounds. From the cell-based assays, a subset of the tested compounds is selected. For each respective compound in the subset, a molecular abundance profile from cells exposed to the respective compound is measured. Targets of transcription factors and post-translational modulators of transcription factor activity are inferred from the molecular abundance profile data using information theoretic measures. This data is used to construct an interaction network. Variances in edges in the interaction network are used to determine the drug activity profile of compounds in the subset of compounds. The drug activity profiles are used to form a filter set of compound combinations from the subset of compounds.