AI & ML
Gaussian Equivalence for Multi-Head Self-Attention
arXiv stat.ML0 views
arXiv:2610.10033v1 Announce Type: new Abstract: A theoretical understanding of multi-head self-attention is fundamental to the study of modern neural networks. Using random matrix theory, we establish Gaussian equivalence for multi-head self-attention: replacing softmax attention with rescaled scores plus Gaussian noise preserves the limiting spectral law of the centered output. This equivalence also covers value and output projections that depend on the keys. The resulting laws separate the effects of head allocation and projection widths, and distinguish spectrum-preserving across-head sharing from within-head key--value dependence.
Source：https://arxiv.org/abs/2610.10033PreviousControlling Dependence in Implicit Generative Models via Spread Mutual InformationNextTowards Calibrated Probabilistic Forecasts for Events of Interest via Outcome-Conditional Recalibration
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