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<h1>Project 5: Fun with Diffusion Models</h1>
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<div align="center">
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<p>
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by Daniel Cheng | December 13, 2025
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by Daniel Cheng | December 16, 2025
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</p>
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</figure>
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For the sampling operation, we will compute the unconditional estimate <code>u<sub>uncond</sub></code> in velcoity using a mask of all 0s in the model, as well as the conditional estimate <code>u<sub>cond</sub></code> of a given digit using a mask of all 1s. Once we have <code>u<sub>uncond</sub></code> and <code>u<sub>uncond</sub></code>, we will let our final estimate be <code>u<sub>cfg</sub></code> = <code>u<sub>uncond</sub></code> + &gamma;(<code>u<sub>cond</sub></code> - <code>u<sub>uncond</sub></code>) before updating each iteration with <code>x<sub>0</sub></code> = (1 / <code>T</code>)<code>u<sub>cfg</sub></code>. Below is a visualization of generating the digits 0-9 4 times for epochs 1, 5, and 10:
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For the sampling operation, we will compute the unconditional estimate <code>u<sub>uncond</sub></code> in velcoity using a mask of all 0s in the model, as well as the conditional estimate <code>u<sub>cond</sub></code> of a given digit using a mask of all 1s. Once we have <code>u<sub>cond</sub></code> and <code>u<sub>uncond</sub></code>, we will let our final estimate be <code>u<sub>cfg</sub></code> = <code>u<sub>uncond</sub></code> + &gamma;(<code>u<sub>cond</sub></code> - <code>u<sub>uncond</sub></code>) before updating each iteration with <code>x<sub>0</sub></code> = <code>x<sub>0</sub></code> + (1 / <code>T</code>)<code>u<sub>cfg</sub></code>. Below is a visualization of generating the digits 0-9 4 times for epochs 1, 5, and 10:
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<div align="center">
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<figure>
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<img src="images/unet/26_visualization.png" alt="26_visualization.png" />

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