Optimized Network Analysis Rendering and User Interfaces

The present disclosure describes an apparatus and methods for performing data analysis, in particular network analysis. Specifically it provides a framework and user interface whereby raw data may be imported into a data model with entities, attributes, and relationships between the entities and multiple data analysis algorithms may be pipelined into a larger data analysis model and applied to the data model. Offline and online data visualization and data exploration techniques, may be applied to the results of the data analysis enabling real-time and near real-time interactive online analysis. Extensibility models and market transaction models are also provided. In some instances, the framework may perform fixed point transformations and contour mapping operations to visualize the data processed by the data model on the user interface. These operations may be optimized by operating off a data buffer such that the pipelined data analysis algorithms need not be recalculated.