Reproduce “GLOBE: Trajectory-Aligned Gradient Matching with Structured SparseOptimization for Coreset Selection” on OpenResearch

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About this paper

Hetian Liu, Jin Cui, Mengcheng Shi, Yanbin Hu, Xinyue Long, Boran Zhao, Pengju Pen

GLOBE selects real training examples by matching multi-checkpoint gradient trajectories rather than relying on a single optimization snapshot. Combining first- and projected second-order statistics with Group LASSO, Elastic Net, and class-balanced selection, it achieved the best reported accuracy across all 18 dataset–retention settings, with particularly strong gains at 10% data retention.

Key insights

  • Training-time importance is dynamic: replacing multi-checkpoint trajectories with only the final checkpoint reduced CIFAR-10 accuracy from 90.21% to 88.53% at 10% retention.
  • Matching only first-order behavior is insufficient; projected second-order information and structured regularization help preserve gradient variability and reduce redundancy among correlated examples.
  • The method shifts substantial work to coreset construction, since per-sample gradients, multiple checkpoints, projections, and clustering are required; runtime and memory costs are not fully reported.

Summary by alphaXiv.

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