Abstract: Incremental proximity graph maintenance (IPGM) systems and methods for online ANN search support both online vertex deletion and insertion of vertices on proximity graphs. In various embodiments, updating a proximity graph comprises receiving a workload that represents a set of vertices in the proximity graph, each vertex being associated with a type of operation such as a query, insertion, or deletion. For a query or an insertion, a search may be executed on the graph to obtain a set of top-K vertices for each vertex. In the case of a deletion, a vertex may be deleted from the proximity graph, and a local or global reconnection update method may be used to reconstruct at least a portion of the proximity graph.

Abstract: Efficient inner product search is important for many data ranking services, such as recommendation and Information Retrieval. Efficient retrieval via inner product dramatically influences the performance of such data searching and retrieval systems. To resolve deficiencies of prior approaches, embodiments of a new index graph construction approach, referred to generally as Norm Adjusted Proximity Graph (NAPG), for approximate Maximum Inner Product Search (MIPS) are presented. With adjusting factors estimated on sampled data, NAPG embodiments select more meaningful data points to connect with when constructing a graph-based index for inner product search. Extensive experiments verify that the improved graph-based index pushes the state-of-the-art of inner product search forward greatly, in the trade-off between search efficiency and effectiveness.

Abstract: Presented herein are embodiments of a fast search on graph methodology for Maximum Inner Product Search (MIPS). This optimization problem is challenging since traditional Approximate Nearest Neighbor (ANN) search methods may not perform efficiently in the nonmetric similarity measure. Embodiments herein are based on the property that a Möbius/Möbius-like transformation introduces an isomorphism between a subgraph of 2-Delaunay graph and Delaunay graph for inner product. Under this observation, embodiments of a novel graph indexing and searching methodology are presented to find the optimal solution with the largest inner product with the query. Experiments show significant improvements compared to existing methods.

Abstract: Retrieval of relevant vectors produced by representation learning can critically influence the efficiency in Natural Language Processing (NLP) tasks. Presented herein are systems and methods for searching vectors via a typical nonmetric matching function: inner product. Embodiments, which construct an approximate Inner Product Delaunay Graph (IPDG) for top-1 Maximum Inner Product Search (MIPS), transform retrieving the most suitable latent vectors into a graph search problem with great benefits of efficiency. Experiments on data representations learned for different machine learning tasks verify the outperforming effectiveness and efficiency of IPDG embodiments.