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New random features method approximates Grassmannian kernels efficiently

Researchers have developed a new method for approximating Grassmannian kernels using random feature maps. This approach addresses the computational and memory limitations of traditional methods when dealing with large, high-dimensional subspace datasets. The proposed technique utilizes rank-one projections and bounded non-linear transforms to create efficient kernel approximations, which have been demonstrated to accurately preserve Grassmannian geometry in experiments. AI

IMPACT This research offers a more computationally efficient method for kernel approximation, potentially enabling broader application of kernel machines in high-dimensional data scenarios.

RANK_REASON This is a research paper detailing a new algorithmic approach for kernel approximation. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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New random features method approximates Grassmannian kernels efficiently

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  1. arXiv cs.LG TIER_1 English(EN) · R\'emi Delogne, Laurent Jacques ·

    Random features for Grassmannian kernel approximation with bounded rank-one projections

    arXiv:2608.04227v1 Announce Type: new Abstract: We propose a family of random feature maps for scalable kernel machines on low-dimensional subspaces, ie on the Grassmannian manifold. Such representations are useful when data classes or clusters are well described by the span of a…