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New Theory: SA-Adam Adaptivity Asymptotically Invisible

Researchers have published a paper detailing a theoretical analysis of adaptive optimization algorithms, specifically focusing on SA-Adam with momentum and non-convergent adaptive preconditioning. The study proves a non-autonomous Polyak-Ruppert central limit theorem for this configuration, indicating that the adaptivity of the optimizer is asymptotically invisible in terms of the iterate-marginal covariance. This finding suggests that the optimizer's covariance structure mirrors that of plain stochastic gradient descent (SGD) under certain conditions, particularly with sub-linearly vanishing momentum gain. AI

IMPACT Provides theoretical grounding for the behavior of adaptive optimizers, potentially influencing future algorithm design in machine learning.

RANK_REASON The cluster contains an academic paper published on arXiv detailing theoretical advancements in optimization algorithms.

Read on arXiv stat.ML →

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New Theory: SA-Adam Adaptivity Asymptotically Invisible

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COVERAGE [2]

  1. arXiv stat.ML TIER_1 English(EN) · Sunyoung An, Xiaoming Huo ·

    A Polyak-Ruppert Central Limit Theorem for SA-Adam with Momentum and Non-Convergent Adaptive Preconditioning

    arXiv:2606.17364v1 Announce Type: cross Abstract: Adaptive optimizers combining preconditioning, momentum, and weight decay (Adam and AdamW) are, under Polyak-Ruppert averaging, candidate engines for one-pass inference. Does the averaged iterate keep the classical Polyak-Ruppert …

  2. arXiv stat.ML TIER_1 English(EN) · Xiaoming Huo ·

    A Polyak-Ruppert Central Limit Theorem for SA-Adam with Momentum and Non-Convergent Adaptive Preconditioning

    Adaptive optimizers combining preconditioning, momentum, and weight decay (Adam and AdamW) are, under Polyak-Ruppert averaging, candidate engines for one-pass inference. Does the averaged iterate keep the classical Polyak-Ruppert central limit theorem (CLT), with sandwich covaria…