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Quantifying Epistemic Uncertainty in Diffusion Models

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์ €์ž

Aditi Gupta, Raphael A. Meyer, Yotam Yaniv, Elynn Chen, N. Benjamin Erichson

๐Ÿ’ก ๊ฐœ์š”

๋ณธ ๋…ผ๋ฌธ์€ ํ™•์‚ฐ ๋ชจ๋ธ์˜ ์ƒ์„ฑ ๊ฒฐ๊ณผ ํ’ˆ์งˆ ๋ณด์ฆ์„ ์œ„ํ•ด ์ธ์‹ ๋ถˆํ™•์‹ค์„ฑ(epistemic uncertainty)์„ ์ •๋Ÿ‰ํ™”ํ•˜๋Š” ์ค‘์š”์„ฑ์„ ๊ฐ•์กฐํ•ฉ๋‹ˆ๋‹ค. ๊ธฐ์กด ๋ฐฉ๋ฒ•๋“ค์ด ์ธ์‹ ๋ถˆํ™•์‹ค์„ฑ๊ณผ ์šฐ์—ฐ ๋ถˆํ™•์‹ค์„ฑ(aleatoric uncertainty)์„ ํ˜ผํ•ฉํ•˜์—ฌ ์‹ ๋ขฐ๋„๊ฐ€ ๋‚ฎ๋‹ค๋Š” ๋ฌธ์ œ์ ์„ ์ง€์ ํ•˜๋ฉฐ, Fisher ์ •๋ณด๋ฅผ ๊ธฐ๋ฐ˜์œผ๋กœ ์ธ์‹ ๋ถ„์‚ฐ์„ ๋ช…ํ™•ํžˆ ๋ถ„๋ฆฌํ•˜๋Š” ์ƒˆ๋กœ์šด ๋ฐฉ๋ฒ•์„ ์ œ์•ˆํ•ฉ๋‹ˆ๋‹ค. ์ด๋ฅผ ์œ„ํ•ด ๋ชจ๋ธ ํŒŒ๋ผ๋ฏธํ„ฐ์˜ ๋ฌด์ž‘์œ„ ๋ถ€๋ถ„์ง‘ํ•ฉ์„ ํ™œ์šฉํ•˜์—ฌ Fisher ์ •๋ณด๋ฅผ ๊ทผ์‚ฌํ•˜๋Š” FLARE(Fisher-Laplace Randomized Estimator)๋ฅผ ์ œ์‹œํ•˜๋ฉฐ, ํ•ฉ์„ฑ ์‹œ๊ณ„์—ด ๋ฐ์ดํ„ฐ ์ƒ์„ฑ ํƒœ์Šคํฌ์—์„œ ๊ธฐ์กด ๋ฐฉ๋ฒ• ๋Œ€๋น„ ๋” ์ •ํ™•ํ•˜๊ณ  ์‹ ๋ขฐํ•  ์ˆ˜ ์žˆ๋Š” ๋ถˆํ™•์‹ค์„ฑ ์ถ”์ • ๋ฐ ํ•„ํ„ฐ๋ง ์„ฑ๋Šฅ์„ ์ž…์ฆํ–ˆ์Šต๋‹ˆ๋‹ค.

๐Ÿ”‘ ์‹œ์‚ฌ์  ๋ฐ ํ•œ๊ณ„

โ€ข
ํ™•์‚ฐ ๋ชจ๋ธ์˜ ์ƒ์„ฑ ๊ฒฐ๊ณผ ์‹ ๋ขฐ์„ฑ์„ ๋†’์ด๊ธฐ ์œ„ํ•œ ์ธ์‹ ๋ถˆํ™•์‹ค์„ฑ ์ •๋Ÿ‰ํ™”์˜ ํ•„์š”์„ฑ์„ ๋ถ€๊ฐํ•˜๊ณ , Fisher ์ •๋ณด๋ฅผ ํ™œ์šฉํ•˜์—ฌ ์ธ์‹ ๋ถˆํ™•์‹ค์„ฑ์„ ๋ช…ํ™•ํžˆ ๋ถ„๋ฆฌํ•˜๋Š” ํšจ๊ณผ์ ์ธ ๋ฐฉ๋ฒ•๋ก ์„ ์ œ์‹œํ–ˆ์Šต๋‹ˆ๋‹ค.
โ€ข
์ œ์•ˆ๋œ FLARE ๋ฐฉ๋ฒ•์€ ๋ฌด์ž‘์œ„ ์ƒ˜ํ”Œ๋ง์„ ํ†ตํ•ด Fisher ์ •๋ณด ๊ณ„์‚ฐ์˜ ํ™•์žฅ์„ฑ์„ ํ™•๋ณดํ–ˆ์œผ๋ฉฐ, ์‹ค์ œ ์‹คํ—˜์—์„œ ๊ธฐ์กด ๋ฐฉ๋ฒ• ๋Œ€๋น„ ์šฐ์ˆ˜ํ•œ ๋ถˆํ™•์‹ค์„ฑ ์ถ”์ • ์„ฑ๋Šฅ์„ ๋ณด์—ฌ์ฃผ์—ˆ์Šต๋‹ˆ๋‹ค.
โ€ข
์ด๋ก ์ ์œผ๋กœ ๋ฌด์ž‘์œ„ ๊ทผ์‚ฌ์น˜์˜ ์ˆ˜๋ ด ์†๋„๋ฅผ ๋ถ„์„ํ•˜๊ณ , ๋งˆ์ง€๋ง‰ ๋ ˆ์ด์–ด์˜ Laplace ๊ทผ์‚ฌ๋งŒ์œผ๋กœ๋Š” ์ธ์‹ ๋ถˆํ™•์‹ค์„ฑ์„ ์ถฉ๋ถ„ํžˆ ํฌ์ฐฉํ•˜๊ธฐ ์–ด๋ ต๋‹ค๋Š” ๋ถ„์„์„ ์ œ๊ณตํ•ฉ๋‹ˆ๋‹ค.
๐Ÿ‘