Correlation Sketches for Approximate Join-Correlation Queries

Abstract

The increasing availability of structured datasets, from Web tables and open-data portals to enterprise data, opens up opportunities~to enrich analytics and improve machine learning models through relational data augmentation. In this paper, we introduce a new class of data augmentation queries: join-correlation queries. Given a column $Q$ and a join column $K_Q$ from a query table ${\mathcal{T}}_Q$, retrieve tables ${\mathcal{T}}_X$ in a dataset collection such that ${\mathcal{T}}_X$ is joinable with ${\mathcal{T}}_Q$ on $K_Q$ and there is a column $C\in {\mathcal{T}}_X$ such that $Q$ is correlated with $C$. A naïve approach to evaluate these queries, which first finds joinable tables and then explicitly joins and computes correlations between $Q$ and all columns of the discovered tables, is prohibitively expensive. To efficiently support correlated column discovery, we 1) propose a sketching method that enables the construction of an index for a large number of tables and that provides accurate estimates for join-correlation queries, and 2) explore different scoring strategies that effectively rank the query results based on how well the columns are correlated with the query. We carry out a detailed experimental evaluation, using both synthetic and real data, which shows that our sketches attain high accuracy and the scoring strategies lead to high-quality rankings.

Proceedings of the 2021 International Conference on Management of Data (SIGMOD '21)

References in corpus (6)

• Measuring and testing dependence by correlation of distances
• Comparing the Pearson and Spearman Correlation Coefficients Across Distributions and Sample Sizes: A Tutorial Using Simulations and Empirical Data
• Deep Unsupervised Cardinality Estimation
• Web Table Extraction, Retrieval and Augmentation: A Survey
• Practical Hash Functions for Similarity Estimation and Dimensionality Reduction
• Joins on Samples: A Theoretical Guide for Practitioners

Cited by in corpus (1)

• Efficiently Estimating Mutual Information Between Attributes Across Tables