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New scaling laws detail mini-batch impact on linear regression

Researchers have developed new scaling laws for sketched linear regression that specifically address the impact of mini-batching. Their analysis covers one-pass batch SGD, multi-pass batch SGD with replacement, and multi-pass batch SGD without replacement. The findings reveal how mini-batching affects bias and variance terms, offering a theoretical framework that places batch size alongside compute, data, and model dimension in regression analysis. AI

IMPACT Provides a theoretical framework for understanding mini-batching in linear regression, potentially informing future algorithm design.

RANK_REASON Academic paper detailing theoretical advancements in machine learning algorithms. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Ziyan Chen, Ding-Xuan Zhou ·

    From One-Pass SGD to Data Reuse: Mini-Batch Scaling Laws in Sketched Linear Regression

    arXiv:2605.24316v1 Announce Type: new Abstract: Scaling laws provide compact descriptions of how prediction error varies with compute, model size, and data, but existing theory mainly treats single-sample SGD or full data reuse, leaving the role of mini-batching unclear. We study…