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DistDF: Time-Series Forecasting Needs Joint-Distribution Wasserstein Alignment

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์ €์ž

Hao Wang, Licheng Pan, Yuan Lu, Zhixuan Chu, Xiaoxi Li, Shuting He, Zhichao Chen, Haoxuan Li, Qingsong Wen, Zhouchen Lin

๐Ÿ’ก ๊ฐœ์š”

๋ณธ ๋…ผ๋ฌธ์€ ์‹œ๊ณ„์—ด ์˜ˆ์ธก ๋ชจ๋ธ ํ•™์Šต ์‹œ ๋ฐœ์ƒํ•˜๋Š” ์กฐ๊ฑด๋ถ€ ๋ถ„ํฌ ์ •๋ ฌ ๋ฌธ์ œ๋ฅผ ํ•ด๊ฒฐํ•˜๊ธฐ ์œ„ํ•ด ์ƒˆ๋กœ์šด ๋ฐฉ๋ฒ•๋ก ์ธ DistDF๋ฅผ ์ œ์•ˆํ•ฉ๋‹ˆ๋‹ค. ๊ธฐ์กด์˜ ์ง์ ‘ ์˜ˆ์ธก(DF) ๋ฐฉ์‹์ด ๊ฐ€์ง€๋Š” ๋ ˆ์ด๋ธ” ์‹œํ€€์Šค์˜ ์ž๊ธฐ์ƒ๊ด€์„ฑ์œผ๋กœ ์ธํ•œ ํŽธํ–ฅ ๋ฌธ์ œ๋ฅผ ๊ทน๋ณตํ•˜๊ณ ์ž, ์กฐ๊ฑด๋ถ€ ๋ถ„ํฌ ๊ฐ„์˜ ๋””์Šค์ปคํŒฌ์‹œ๋ฅผ ์ตœ์†Œํ™”ํ•˜๋Š” DistDF๋Š” ์ถ”์ •ํ•˜๊ธฐ ์–ด๋ ค์šด ์กฐ๊ฑด๋ถ€ ๋””์Šค์ปคํŒฌ์‹œ๋ฅผ ๊ทผ์‚ฌํ•˜๊ธฐ ์œ„ํ•ด ์œ ํšจํ•˜๊ฒŒ ์ƒํ•œ์„ ์ œ๊ณตํ•˜๋Š” Joint-Distribution Wasserstein ๋””์Šค์ปคํŒฌ์‹œ๋ฅผ ๋„์ž…ํ•ฉ๋‹ˆ๋‹ค. ์ด ๋ฐฉ๋ฒ•๋ก ์€ ๋‹ค์–‘ํ•œ ์˜ˆ์ธก ๋ชจ๋ธ์— ์ ์šฉ ๊ฐ€๋Šฅํ•˜๋ฉฐ ์„ฑ๋Šฅ ํ–ฅ์ƒ์„ ์ž…์ฆํ–ˆ์Šต๋‹ˆ๋‹ค.

๐Ÿ”‘ ์‹œ์‚ฌ์  ๋ฐ ํ•œ๊ณ„

โ€ข
์‹œ๊ณ„์—ด ๋ฐ์ดํ„ฐ์˜ ์ž๊ธฐ์ƒ๊ด€์„ฑ์œผ๋กœ ์ธํ•œ ๊ธฐ์กด ํ•™์Šต ๋ฐฉ์‹์˜ ํŽธํ–ฅ ๋ฌธ์ œ๋ฅผ ํšจ๊ณผ์ ์œผ๋กœ ํ•ด๊ฒฐํ•  ์ˆ˜ ์žˆ๋Š” ์ƒˆ๋กœ์šด ๋ถ„ํฌ ์ •๋ ฌ ๊ธฐ๋ฒ•์„ ์ œ์‹œํ•ฉ๋‹ˆ๋‹ค.
โ€ข
์ œ์•ˆ๋œ Joint-Distribution Wasserstein ๋””์Šค์ปคํŒฌ์‹œ๋Š” ๊ณ„์‚ฐ ๊ฐ€๋Šฅํ•˜๊ณ  ๋ฏธ๋ถ„ ๊ฐ€๋Šฅํ•˜์—ฌ ๊ธฐ์กด์˜ ๊ฒฝ์‚ฌ ๊ธฐ๋ฐ˜ ์ตœ์ ํ™” ๋ฐฉ์‹๊ณผ ์‰ฝ๊ฒŒ ํ†ตํ•ฉ๋  ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค.
โ€ข
์‹ค์ œ ์‹œ๊ณ„์—ด ๋ฐ์ดํ„ฐ์— ๋Œ€ํ•œ ๊ด‘๋ฒ”์œ„ํ•œ ์‹คํ—˜์„ ํ†ตํ•ด ๋‹ค์–‘ํ•œ ์˜ˆ์ธก ๋ชจ๋ธ์˜ ์„ฑ๋Šฅ์„ ๊ฐœ์„ ํ•˜๊ณ  ์ตœ์‹  ๊ธฐ์ˆ  ์ˆ˜์ค€์„ ๋‹ฌ์„ฑํ–ˆ์Šต๋‹ˆ๋‹ค.
โ€ข
์ œ์•ˆ๋œ ๋ฐฉ๋ฒ•๋ก ์˜ ์ด๋ก ์  ๋ถ„์„ ๋ฐ ์‹ค์ œ ์ ์šฉ ๊ณผ์ •์—์„œ ๋ฐœ์ƒํ•˜๋Š” ํŠน์ • ์‹œ๊ณ„์—ด ํŠน์„ฑ(์˜ˆ: ๊ณ„์ ˆ์„ฑ, ์ฃผ๊ธฐ์„ฑ ๋“ฑ)์— ๋Œ€ํ•œ ์ถ”๊ฐ€์ ์ธ ํƒ๊ตฌ๊ฐ€ ํ•„์š”ํ•  ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค.
๐Ÿ‘