How TDA creates a multi-dimensional data representation

TDA creates a multi-dimensional representation of the data, making it possible to uncover intrinsic data structures, highlight unusual patterns, and extract significant features that could signify the presence of malware.

Recall that TDA is a powerful tool that leverages the concepts of topology to analyze complex and high-dimensional datasets. It gives us the capacity to simplify and understand the shape of the data, allowing us to discover intrinsic data structures, highlight unusual patterns, and extract significant features.

Data in the real world, particularly in cybersecurity, tends to be multi-dimensional. For instance, when we are analyzing software for potential malware, we might consider features such as the sequence of system calls made, the binary structure, network activity, and more. Each of these features constitutes a dimension, leading to a high-dimensional dataset.

However, making sense of this high...