More accurately, vector databases are Softmax'd eigendecompositions of the matrix representation of the graph of their connected members..<p>"Network Embedding as Matrix Factorization: Unifying DeepWalk, LINE, PTE, and node2vec"<p><a href="https://arxiv.org/abs/1710.02971" rel="nofollow">https://arxiv.org/abs/1710.02971</a>