Insights into Ordinal Embedding Algorithms: A Systematic Evaluation

The objective of ordinal embedding is to find a Euclidean representation of a set of abstract items, using only answers to triplet comparisons of the form “Is item $i$ closer to item $j$ or item $k$?”. In recent years, numerous algorithms have been proposed to solve this problem. However, there does not exist a fair and thorough assessment of these embedding methods and therefore several key questions remain unanswered: Which algorithms perform better when the embedding dimension is constrained or …

abstract algorithms embedding evaluation insights ordinal representation set