The present disclosure relates to a triplet embedding system that improves dimensionality reduction through exponential triplet embedding. In particular, the triplet embedding system employs heavy-tailed properties of t-exponential distributions and robust non-convex loss functions to improve visualizations in the presence of noisy data. In addition, the triplet embedding system uses triplet similarity weighting and improved sampling to improve and accelerate triplet embedding in large datasets. Overall, the triplet embedding system produces improved dimensionality reduction visualizations, which accurately reveal the underlying structure of the real-world high-dimensional datasets in lower-dimensional space.
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