1. In a digital environment for dimensionality reduction in high-dimensional spaces, a computer-implemented method for triplet embedding, the method comprising: accessing a dataset that comprises items organized into triplets, each triplet based on similarity constraints between the items in the triplet; performing a step for generating a feature representation for the triplets that minimizes an inverse probability that the similarity constraints for the triplets are satisfied and ignores one or more similarity constraints that cause noise; and generating a visualization that illustrates relationships between the items of the dataset based on the generated feature representation.