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Multi-Modal Learning meets Genetic Programming: Analyzing Alignment in Latent Space Optimization

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Benjamin Leger, Kazem Meidani, Christian Gagne

๐Ÿ’ก ๊ฐœ์š”

๋ณธ ๋…ผ๋ฌธ์€ ๊ธฐํ˜ธ ํšŒ๊ท€(Symbolic Regression, SR) ๋ฌธ์ œ ํ•ด๊ฒฐ์„ ์œ„ํ•ด ๋‹ค์ค‘ ๋ชจ๋‹ฌ ํ•™์Šต๊ณผ ์œ ์ „ ํ”„๋กœ๊ทธ๋ž˜๋ฐ(Genetic Programming, GP)์„ ๊ฒฐํ•ฉํ•œ SNIP ๋ฐฉ๋ฒ•๋ก ์˜ ์ž ์žฌ๋ ฅ์„ ํƒ๊ตฌํ•ฉ๋‹ˆ๋‹ค. SNIP๋Š” ๊ธฐํ˜ธ ํ‘œํ˜„๊ณผ ์ˆซ์ž ํ‘œํ˜„์„ ๋™์ผํ•œ ์ž ์žฌ ๊ณต๊ฐ„์— ์ •๋ ฌํ•˜์—ฌ, ์ˆซ์ž ๊ณต๊ฐ„์—์„œ์˜ ์ตœ์ ํ™”๋ฅผ ํ†ตํ•ด ์•”๋ฌต์ ์œผ๋กœ ๊ธฐํ˜ธ ํƒ์ƒ‰์„ ์œ ๋„ํ•ฉ๋‹ˆ๋‹ค. ๊ทธ๋Ÿฌ๋‚˜ ์‹คํ—˜ ๊ฒฐ๊ณผ, SNIP์˜ ๊ต์ฐจ ๋ชจ๋‹ฌ ์ •๋ ฌ์€ ์ตœ์ ํ™” ๊ณผ์ •์—์„œ๋„ ๊ฐœ์„ ๋˜์ง€ ์•Š์œผ๋ฉฐ, ๊ธฐํ˜ธ ๊ณต๊ฐ„์—์„œ์˜ ํšจ์œจ์ ์ธ ํƒ์ƒ‰์„ ์œ„ํ•œ ๋ฏธ์„ธํ•œ ์ˆ˜์ค€์˜ ์ •๋ ฌ์„ ๋‹ฌ์„ฑํ•˜์ง€ ๋ชปํ•จ์„ ๋ฐํ˜€๋ƒˆ์Šต๋‹ˆ๋‹ค.

๐Ÿ”‘ ์‹œ์‚ฌ์  ๋ฐ ํ•œ๊ณ„

โ€ข
๋‹ค์ค‘ ๋ชจ๋‹ฌ ์ž ์žฌ ๊ณต๊ฐ„ ์ตœ์ ํ™”(Multi-Modal Latent Space Optimization, LSO)๋Š” ๊ธฐํ˜ธ ํšŒ๊ท€์— ๋Œ€ํ•œ ์œ ๋งํ•œ ์ ‘๊ทผ ๋ฐฉ์‹์ž…๋‹ˆ๋‹ค.
โ€ข
SNIP์™€ ๊ฐ™์€ ๊ธฐ๋ฒ•์€ ๊ต์ฐจ ๋ชจ๋‹ฌ ์ •๋ ฌ์ด ์ตœ์ ํ™” ๊ณผ์ •์—์„œ ์ž์—ฐ์Šค๋Ÿฝ๊ฒŒ ๊ฐœ์„ ๋˜์ง€ ์•Š์œผ๋ฉฐ, ๊ธฐํ˜ธ ํƒ์ƒ‰์„ ํšจ๊ณผ์ ์œผ๋กœ ์•ˆ๋‚ดํ•˜๊ธฐ์—๋Š” ์ •๋ ฌ์ด ๋„ˆ๋ฌด ๊ฑฐ์น ๋‹ค๋Š” ์ ์„ ๋ณด์—ฌ์ค๋‹ˆ๋‹ค.
โ€ข
ํ–ฅํ›„ ์—ฐ๊ตฌ๋Š” ๊ธฐํ˜ธ ํšŒ๊ท€์—์„œ ํšจ๊ณผ์ ์ธ ์ •๋ ฌ ๊ธฐ๋ฐ˜ ์ตœ์ ํ™”๋ฅผ ๋‹ฌ์„ฑํ•˜๊ธฐ ์œ„ํ•ด ๋ฏธ์„ธํ•œ ์ˆ˜์ค€์˜ ๊ต์ฐจ ๋ชจ๋‹ฌ ์ •๋ ฌ์„ ๋‹ฌ์„ฑํ•˜๋Š” ๋ฐ ์ง‘์ค‘ํ•ด์•ผ ํ•ฉ๋‹ˆ๋‹ค.
๐Ÿ‘