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New research explains why optimizers struggle with equivariant networks

Researchers have identified a key reason why certain optimizers like Muon outperform Adam when training equivariant neural networks. The issue stems from how Adam handles learning rates across different blocks within an equivariant linear layer. Specifically, Adam rescales weights individually without respecting the boundaries of these blocks, leading to inconsistent step sizes. The proposed solution involves normalizing each block's update separately, which, when combined with tuned momentum coefficients, makes Adam competitive with Muon on various datasets. AI

IMPACT Identifies a specific training challenge in equivariant networks, potentially leading to more efficient model development.

RANK_REASON Academic paper detailing a novel finding about neural network training. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New research explains why optimizers struggle with equivariant networks

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Academic paper detailing a novel finding about neural network training. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Andrei Manolache, Mathias Niepert ·

    Equivariance Breaks the Learning Rate

    arXiv:2609.08381v1 Announce Type: cross Abstract: Equivariant networks are commonly trained with Adam, yet recent work reports that matrix-structured optimizers such as Muon can perform better on these architectures without explaining why. We identify one source of this differenc…