YangLing0818 / Diffusion-Models-Papers-Survey-Taxonomy

Diffusion model papers, survey, and taxonomy
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:warning: About math expressions in the paper #15

Open tolgacangoz opened 4 months ago

tolgacangoz commented 4 months ago

Thanks for this great survey! I have several questions:

  1. I might be wrong: shouldn't s=0 be s=1 at the top of the 3rd equation? Screenshot from 2024-07-29 01-14-05

  2. Shouldn't s๐œƒ(x, ๐‘‡), s๐œƒ(x, ๐‘‡โˆ’1), ยท ยท ยท , s๐œƒ(x, 0) be s๐œƒ(x, ๐‘‡), s๐œƒ(x, ๐‘‡โˆ’1), ยท ยท ยท , s๐œƒ(x, 1) in the last paragraph of 8th page?

  3. Shouldn't dx = ๐‘“ (x๐‘ก , ๐‘ก) โˆ’ ๐‘”(๐‘ก) 2 s๐œƒ (x๐‘ก , ๐‘ก)d๐‘ก + ๐‘”(๐‘ก)dw. be dx = [๐‘“ (x๐‘ก , ๐‘ก) โˆ’ ๐‘”(๐‘ก) 2 s๐œƒ (x๐‘ก , ๐‘ก)]d๐‘ก + ๐‘”(๐‘ก)dw. in the 34th equation?

  4. Shouldn't max(๐œ–๐‘Ž๐‘๐‘ , ๐œ–๐‘Ÿ๐‘’๐‘™ max(| xlow, | xprev |)) be max(๐œ–๐‘Ž๐‘๐‘ , ๐œ–๐‘Ÿ๐‘’๐‘™ max(| xlow |, | xprev |)) at the below of 24th equation?

  5. "simply" -> "simplify" under the 2nd equation.

  6. "pre-traied" -> "pre-trained" in the last paragraph of the 15th page.

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