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We present a new approach for independently computing compact sketches that can be used to approximate the inner product between pairs of high-dimensional vectors. Based on the Weighted MinHash algorithm, our approach admits strong accuracy guarantees that improve on the guarantees of popular linear sketching approaches for inner product estimation, such as CountSketch and Johnson-Lindenstrauss projection. Specifically, while our method exactly matches linear sketching for dense vectors, it yields significantly lower error for sparse vectors with limited overlap between non-zero entries. Such vectors arise in many applications involving sparse data, as well as in increasingly popular dataset search applications, where inner products are used to estimate data covariance, conditional means, and other quantities involving columns in unjoined tables. We complement our theoretical results by showing that our approach empirically outperforms existing linear sketches and unweighted hashing-based sketches for sparse vectors. 

Dataset search is emerging as a critical capability in both research and industry: it has spurred many novel applications, ranging from the enrichment of analyses of real-world phenomena to the improvement of machine learning models. Recent research in this field has explored a new class of data-driven queries: queries consist of datasets and retrieve, from a large collection, related datasets. In this paper, we study a specific type of data-driven query that supports relational data augmentation through numerical data relationships: given an input query table, find the top-k tables that are both joinable with it and contain columns that are correlated with a column in the query. We propose a novel hashing scheme that allows the construction of a sketch-based index to support efficient correlated table search. We show that our proposed approach is effective and efficient, and achieves better trade-offs that significantly improve both the ranking accuracy and recall compared to the state-of-the-art solutions.