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New research shows Transformer training trajectories diverge despite identical functions

A new research paper explores the phenomenon where identical Transformer models can exhibit different training trajectories due to optimizer behavior. The study demonstrates that standard optimizers like AdamW do not adequately account for scale imbalances that arise from parameter transformations, even when the model's function remains unchanged. To address this, the researchers propose methods for balancing matrix pairs and transforming their moment estimates together, ensuring equivalent checkpoints lead to consistent training paths. They also introduce Symmetry-Aware Gradient Geometry Stabilization (SAGGS) and its variant Soft SAGGS, which equalize Frobenius norms of symmetry pairs to mitigate scale imbalance, showing significant perplexity reductions on WikiText-103. AI

IMPACT Identifies a fundamental issue in Transformer training stability, potentially leading to more robust and reproducible model development.

RANK_REASON Academic paper detailing novel research findings on model training dynamics. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.NE (Neural & Evolutionary) →

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

New research shows Transformer training trajectories diverge despite identical functions

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Academic paper detailing novel research findings on model training dynamics. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.NE (Neural & Evolutionary) TIER_1 English(EN) · Bum Jun Kim ·

    Same Function, Different Trajectory: No Standard Optimizer Is Equivariant to Transformer Reparameterization

    We show that two Transformers representing the same function can follow different training trajectories. For example, doubling a query matrix and halving its key matrix preserves the model's function but changes the gradient scales seen by the optimizer. Our theoretical analysis …