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The Simplex Projection: Lossless Visualization of 4D Compositional Data on a 2D Canvas

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arxiv 2403.11141 v1 pith:7BJK62CT submitted 2024-03-17 cs.GR

classification cs.GR
keywords datacompositionalsimplexvisualizationcanvaslosslessplotsprojection
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The simplex projection expands the capabilities of simplex plots (also known as ternary plots) to achieve a lossless visualization of 4D compositional data on a 2D canvas. Previously, this was only possible for 3D compositional data. We demonstrate how our approach can be applied to individual data points, point clouds, and continuous probability density functions on simplices. While we showcase our visualization technique specifically for 4D compositional data, we offer rigorous proofs that support its extension to compositional data of any (finite) dimensionality.

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