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Paper · arXiv

High-dimensional online learning via asynchronous decomposition: Non-divergent results, dynamic regularization, and beyond

Existing high-dimensional online learning methods often face the challenge that their error bounds, or per-batch sample sizes, diverge as the number of data batches increases. To address this issue, we propose an asynchronous decomposition framework that leverages summary statistics to construct a surrogate score function for current-batch learning. This framework is implemented via a dynamic-regularized iterative hard thresholding algorithm, providing a computationally and memory-efficient solution for sparse online optimization. We provide a unified theoretical analysis that accounts for both the streaming computational error and statistical accuracy, establishing that our estimator mai...

AuthorsShixiang Liu, Zhifan Li, Hanming Yang et al.
Primary categorystat.ML
Published21 March 2026
Last updated at source21 March 2026
stat.MLcs.LG
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