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New adaptive stopping rules boost SGD efficiency in stochastic optimization

Researchers have developed new trajectory-adaptive stopping rules for stochastic optimization algorithms like Stochastic Gradient Descent (SGD). These rules address the mismatch between theoretical fixed-time analysis and practical adaptive stopping decisions, ensuring statistical validity. The approach uses upper confidence sequences to bound optimization error and suboptimality, achieving optimal decay rates and adapting to realized gradients. This method allows SGD to stop efficiently once a desired accuracy is certified, potentially requiring significantly fewer iterations than traditional deterministic horizons, and has been extended to minibatch SGD. AI

IMPACT Improves efficiency of optimization algorithms used in training machine learning models.

RANK_REASON The cluster contains a single academic paper detailing a new methodology in stochastic optimization. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

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New adaptive stopping rules boost SGD efficiency in stochastic optimization

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The cluster contains a single academic paper detailing a new methodology in stochastic optimization. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Liviu Aolaritei, Lucas L\'evy, Francis Bach, Michael I. Jordan ·

    Beyond Optimal Rates in Stochastic Optimization: Trajectory-Adaptive Stopping Rules

    arXiv:2608.25551v1 Announce Type: cross Abstract: Stochastic gradient descent (SGD) is typically analyzed at a deterministic horizon chosen before the algorithm is run, even though practical stopping decisions are made adaptively by inspecting the evolving trajectory. This mismat…