Multi-head self-attention dynamics admit a non-decreasing energy functional under suitable score-matrix conditions, with closed-form clustering thresholds and monotonic entropy production in simplified regimes.
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Gradient Flow Structure and Quantitative Dynamics of Multi-Head Self-Attention
Multi-head self-attention dynamics admit a non-decreasing energy functional under suitable score-matrix conditions, with closed-form clustering thresholds and monotonic entropy production in simplified regimes.