Instruction: Design a custom visualization system in R that goes beyond conventional plotting packages.
Context: This question assesses the candidate's creativity and skill in developing advanced, custom data visualizations in R.
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Initially, it's essential to clarify what we mean by a visualization system. I define it as a framework that not only visualizes data but also allows for user interaction to explore and manipulate the visualized data in real-time. For simplicity, let's discuss a system designed to visualize complex datasets often encountered in data science projects, including high-dimensional data.
To start, data abstraction is the cornerstone of this system. It involves creating a layer that can take any form of raw data and transform it into a structured format suitable for visualization. In R, this can be achieved by developing a set of functions that preprocess data, such as normalization, dimensionality reduction (using methods like PCA or t-SNE for high-dimensional data), and clustering. This layer ensures that our system can handle various data...