Balancing Fidelity and Diversity in Diffusion Models via Symmetric Attention Decomposition: Hopfield Perspective

In three linesTheoretical paper decomposing the pre-softmax attention matrix QK^T into symmetric and skew-symmetric components. The symmetric part governs the energy landscape, the skew-symmetric part drives circulation. Authors propose Hopfield-style stability measures to quantify fidelity-diversity trade-offs in generation and a controllable mechanism to modulate this trade-off.

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