Retrieval finds a small number of relevant candidates from a large corpus for information retrieval and recommendation applications. A key component of retrieval is to model (user, item) similarity, which is commonly represented as the dot product of two learned embeddings. This formulation permits efficient inference, commonly known as Maximum Inner Product Search (MIPS). Despite its popularity, dot products cannot capture complex user-item interactions, which are multifaceted and likely high rank. We hence examine non-dot-product retrieval settings on accelerators, and propose mixture of logits (MoL), which models (user, item) similarity as an adaptive composition of elementary similarity functions. This new formulation is expressive, capable of modeling high rank (user, item) interactions, and further generalizes to the long tail. When combined with a hierarchical retrieval strategy, h-indexer, we are able to scale up MoL to 100M corpus on a single GPU with latency comparable to MIPS baselines. On public datasets, our approach leads to uplifts of up to 77.3% in hit rate (HR). Experiments on a large recommendation surface at Meta showed strong metric gains and reduced popularity bias, validating the proposed approach's performance and improved generalization.

Bitmap indexes are widely used in both scientific and commercial databases. They bring fast read performance for specific types of queries, such as equality and selective range queries. A major drawback of bitmap indexes, however, is that supporting updates is particularly costly. Bitmap indexes are kept compressed to minimize storage footprint; as a result, updating a bitmap index requires the expensive step of decoding and then encoding a bitvector. Today, more and more applications need support for both reads and writes, blurring the boundaries between analytical processing and transaction processing. This requires new system designs and access methods that support general updates and, at the same time, offer competitive read performance. In this paper, we propose scalable in-memory Updatable Bitmap indexing (UpBit), which offers efficient updates, without hurting read performance. UpBit relies on two design points. First, in addition to the main bitvector for each domain value, UpBit maintains an update bitvector, to keep track of updated values. Effectively, every update can now be directed to a highly-compressible, easy-to-update bitvector. While update bitvectors double the amount of uncompressed data, they are sparse, and as a result their compressed size is small. Second, we introduce fence pointers in all update bitvectors which allow for efficient retrieval of a value at an arbitrary position. Using both synthetic and real-life data, we demonstrate that UpBit significantly outperforms state-of-the-art bitmap indexes for workloads that contain both reads and writes. In particular, compared to update-optimized bitmap index designs UpBit is 15-29x faster in terms of update time and 2.7x faster in terms of read performance. In addition, compared to read-optimized bitmap index designs UpBit achieves efficient and scalable updates (51-115x lower update latency), while allowing for comparable read performance, having up to 8% overhead.