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scraed committed Dec 30, 2023
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Expand Up @@ -201,7 +201,7 @@ <h2 class="title is-3">How characteristic guidance works</h2>
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In comparing classifier-free guidance with characteristic guidance, we examine their behavior during the sampling process at time t. Classifier-free guidance applies a linear combination of positive and negative prompts at a given point along the sampling trajectory. This approach, however, does not adhere to the non-linear dynamics of the Fokker-Planck equation. On the other hand, characteristic guidance leverages the characteristic line of the Fokker-Planck equation, effectively bring the linear combination back to the initial time (t=0). At this point, the Fokker-Planck equation permits linear combinations, thus ensuring that characteristic guidance adheres to the equation’s constraints..
In comparing classifier-free guidance with characteristic guidance, we examine their behavior during the sampling process at time t. Classifier-free guidance applies a linear combination of positive and negative prompts at a given point along the sampling trajectory. This approach, however, does not adhere to the non-linear dynamics of the Fokker-Planck equation. On the other hand, characteristic guidance leverages the characteristic line of the Fokker-Planck equation, effectively bring the linear combination back to the initial time (t=0). At this point, the Fokker-Planck equation permits linear combinations, thus ensuring that characteristic guidance adheres to the equation’s constraints.
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