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New statistical bounds for federated learning improve convergence analysis

Researchers have developed new statistical methods for federated linear stochastic approximation (LSA), providing the first federated Gaussian approximations that account for communication-computation trade-offs and data heterogeneity. These findings quantify the impact of local step sizes and update counts on convergence rates. The work also introduces an online multiplier bootstrap procedure for statistical inference on the final model iterate, offering non-asymptotic validity guarantees. AI

IMPACT Advances statistical methods for distributed machine learning, potentially improving efficiency and accuracy in federated learning systems.

RANK_REASON The cluster contains an academic paper detailing new statistical methods and theoretical bounds for federated learning.

Read on arXiv stat.ML →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

New statistical bounds for federated learning improve convergence analysis

COVERAGE [2]

  1. arXiv stat.ML TIER_1 English(EN) · Ilya Levin, Maksim Shuklin, Eric Moulines, Paul Mangold, Sergey Samsonov ·

    Gaussian Approximation and Multiplier Bootstrap for Federated Linear Stochastic Approximation

    arXiv:2605.19629v1 Announce Type: new Abstract: In this paper, we establish Berry-Esseen-type bounds for federated linear stochastic approximation (LSA). Our results provide the first federated Gaussian approximations for LSA that explicitly capture communication-computation trad…

  2. arXiv stat.ML TIER_1 English(EN) · Sergey Samsonov ·

    Gaussian Approximation and Multiplier Bootstrap for Federated Linear Stochastic Approximation

    In this paper, we establish Berry-Esseen-type bounds for federated linear stochastic approximation (LSA). Our results provide the first federated Gaussian approximations for LSA that explicitly capture communication-computation trade-offs and heterogeneity-aware error terms, quan…