Distance Preservation

Distance preservation refers to maintaining the relative distances between points when data is transformed or mapped from one form to another. For example, in data visualization, it ensures that points which are close together in the original dataset remain close in the new representation, and those far apart stay distant. This concept is important in techniques like dimensionality reduction, where high-dimensional data is simplified for analysis or visualization without significantly altering the inherent structure. Essentially, it helps to keep the true relationships between data points intact during the transformation process.