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Statistical & Classical MLKernel Methods2606.16979

Scalable Pairwise Kernel Learning with Stochastic Vec Trick

Napsu Karmitsa, Tapio Pahikkala, Antti Airola

cs.LG

Abstract

Pairwise learning is a specialized form of supervised learning that focuses on predicting outcomes for pairs of objects. In this work, we introduce SPaiK, a new scalable kernel learning method tailored for pairwise settings. Our approach preserves the expressive power of kernel methods while substantially reducing computational and memory requirements. The key innovation is the stochastic generalized vec trick (sGVT), a stochastic extension of the sparse Kronecker product multiplication algorithm, which enables efficient large-scale training with pairwise kernels. By incorporating sGVT, SPaiK makes it possible to apply kernel-based pairwise learning to datasets of a size previously out of reach. We evaluate the performance of SPaiK on seven real-world drug-target affinity datasets and compare the results with state-of-the-art methods in pairwise learning.

Topics

Classified with taxonomy v2 on Wed, 2 Sept 2026.

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