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  1. ML Statistics

VAE(2013)

Original Paper - Auto-Encoding Variational Bayes: https://arxiv.org/abs/1312.6114

Abstract

ํฐ ๋ฐ์ดํ„ฐ์…‹, ๊ณ„์‚ฐํ•˜๊ธฐ ํž˜๋“ (intractable) ์‚ฌํ›„ํ™•๋ฅ ๋ถ„ํฌ๋ฅผ ๊ฐ€์ง„ ์ž ์žฌ๋ณ€์ˆ˜๊ฐ€ ์žˆ๋Š” ํ™•๋ฅ ๋ชจ๋ธ์—์„œ ์ถ”๋ก ๊ณผ ํ•™์Šต์„ ์–ด๋–ป๊ฒŒ ํ•˜๋ฉด ํšจ์œจ์ ์œผ๋กœ ์ง„ํ–‰ํ•  ์ˆ˜ ์žˆ์„๊นŒ?

์ด ๋…ผ๋ฌธ์—์„ , ์ ์ ˆํžˆ ๋ฏธ๋ถ„๊ฐ€๋Šฅํ•œ ์ƒํ™ฉ์—์„œ ์œ„์™€ ๊ฐ™์ด ๊ณ„์‚ฐํ•˜๊ธฐ ํž˜๋“  ์‚ฌํ›„ํ™•๋ฅ ๋ถ„ํฌ๋ฅผ ๊ฐ€์ง„ ๊ฒฝ์šฐ์—๋„ ์ ์šฉํ•  ์ˆ˜ ์žˆ๋Š”, Variational Inference ๋ฐฉ๋ฒ•๊ณผ ํฐ ๋ฐ์ดํ„ฐ์…‹์„ ๋‹ค๋ฃฐ ์ˆ˜ ์žˆ๋Š” ํ•™์Šต ๋ฐฉ๋ฒ•์„ ์ œ์•ˆํ•œ๋‹ค.

  • Variational lower bound๋ฅผ reparametrizeํ•˜๋Š” ๊ฒƒ์œผ๋กœ ์ผ๋ฐ˜์ ์ธ SGD๋กœ ์ตœ์ ํ™” ๊ฐ€๋Šฅํ•˜๋‹ค๋Š” ๊ฒƒ์„ ๋ณด์ž„

  • ์—ฐ์† ์ž ์žฌ๋ณ€์ˆ˜๋ฅผ ๊ฐ€์ง€๋Š” ์„œ๋กœ ๋™๋“ฑํ•˜๋ฉด์„œ ๋…๋ฆฝ์ธ(IID) ๋ถ„ํฌ๋ฅผ ๊ฐ€์ง€๋Š” ๊ฑฐ๋Œ€ํ•œ ๋ฐ์ดํ„ฐ์…‹์— ๋Œ€ํ•ด ๋ณต์žกํ•œ ์‚ฌํ›„ํ™•๋ฅ ์„ ์ถ”๋ก ํ•˜๊ธฐ ์œ„ํ•ด, ๊ณ„์‚ฐํ•˜๊ธฐ ์‰ฌ์šด posterior(์‚ฌํ›„ํ™•๋ฅ )์„ ์ ์šฉํ•œ ๊ทผ์‚ฌ์  ์ถ”๋ก  ๋ชจ๋ธ์„ ์‚ฌ์šฉํ•  ๋•Œ ํŠนํžˆ ํšจ๊ณผ์ ์ž„์„ ๋ฐํž˜

์ด ๋…ผ๋ฌธ์—์„  Reparameterization Trick๊ณผ Variational Inference๊ฐ€ ์ค‘์š”ํ•œ ๊ฐœ๋…์œผ๋กœ ๋“ฑ์žฅํ•œ๋‹ค.

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