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Workload-Aware Autotuning of Block Size in Square-Root Decomposition

arXiv:2606.06145v1 Announce Type: new Abstract: The textbook choice B=sqrt(n) for square-root decomposition is asymptotically natural, but it is not always the fastest implementation choice. We study block-size autotuning as a reproducible algorithm-engineering problem and show that a learned workload model can improve over fixed sqrt(n) on the tested implementation. Under repeated grouped cross-validation, the best policy is a full-feature KNN-9 model that reduces mean regret from 1.2882 to...

arXiv CS 5d ago