Events

ML-NYC Speaker Series: Pseudo-Euclidean Attract-Repel Embeddings for Undirected Graphs

Speaker: Léon Bottou

Location: Off-Campus, Room Flatiron Institute

Date: Monday, April 24, 2023

Dot product embeddings take a graph and construct vectors for nodes such that dot products between two vectors give the strength of the edge. Dot products make a strong transitivity assumption, however, many important forces generating graphs in the real world are specifically non-transitive. We remove the transitivity assumption by embedding nodes into a pseudo-Euclidean space - giving each node an attract and a repel vector. The inner product between two nodes is defined by taking the dot product in attract vectors and subtracting the dot product in repel vectors. Pseudo-Euclidean embeddings can compress networks efficiently, allow for multiple notions of nearest neighbors each with their own interpretation, and can be `slotted' into existing models such as exponential family embeddings or graph neural networks for better link prediction.
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