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Physics-Guided Geometric Diffusion for Macro Placement Generation

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Jongho Yoon, Jinsung Jeon, Seokhyeong Kang

๐Ÿ’ก ๊ฐœ์š”

๋ณธ ๋…ผ๋ฌธ์€ VLSI ๋ฌผ๋ฆฌ ์„ค๊ณ„์˜ ํ•ต์‹ฌ ๋‹จ๊ณ„์ธ ๋งคํฌ๋กœ ๋ฐฐ์น˜ ๋ฌธ์ œ๋ฅผ ํ•ด๊ฒฐํ•˜๊ธฐ ์œ„ํ•ด ๋ฌผ๋ฆฌํ•™ ๊ธฐ๋ฐ˜ ๊ธฐํ•˜ํ•™์  ํ™•์‚ฐ(Physics-Guided Geometric Diffusion) ํ”„๋ ˆ์ž„์›Œํฌ์ธ MacroDiff+๋ฅผ ์ œ์•ˆํ•œ๋‹ค. MacroDiff+๋Š” ์ด์ข… ๊ทธ๋ž˜ํ”„ ์‹ ๊ฒฝ๋ง(Heterogeneous GNN)์œผ๋กœ ์ธ์ฝ”๋”ฉ๋œ ์œ„์ƒ ์—ฐ๊ฒฐ์„ฑ๊ณผ ํŠธ๋žœ์Šคํฌ๋จธ(Transformer)๋กœ ๋ชจ๋ธ๋ง๋œ ์ „์—ญ ๊ธฐํ•˜ํ•™์  ๋งฅ๋ฝ์„ ๊ฒฐํ•ฉํ•˜๋Š” ์ด์ค‘ ๋„๋ฉ”์ธ ๋…ธ์ด์ฆˆ ์ œ๊ฑฐ ๊ตฌ์กฐ๋ฅผ ์‚ฌ์šฉํ•˜๋ฉฐ, ๋ฌผ๋ฆฌ์  ์ œ์•ฝ์„ ๋งŒ์กฑ์‹œํ‚ค๊ธฐ ์œ„ํ•œ Physics-Guided Sampling ์ „๋žต์„ ๋„์ž…ํ•œ๋‹ค. ์ด๋ฅผ ํ†ตํ•ด ๊ธฐ์กด ๋ฐฉ๋ฒ•๋ก  ๋Œ€๋น„ ์™€์ด์–ด ๊ธธ์ด 6.1-6.2% ๊ฐ์†Œ๋ผ๋Š” ์šฐ์ˆ˜ํ•œ ์„ฑ๋Šฅ์„ ๋‹ฌ์„ฑํ•˜๊ณ , ๋Œ€๊ทœ๋ชจ ์„ค๊ณ„์—์„œ ์•ˆ์ •์ ์ด๊ณ  ํ™•์žฅ ๊ฐ€๋Šฅํ•œ ๊ฒฐ๊ณผ๋ฅผ ์ œ๊ณตํ•œ๋‹ค.

๐Ÿ”‘ ์‹œ์‚ฌ์  ๋ฐ ํ•œ๊ณ„

โ€ข
๋ณต์žกํ•œ ์œ„์ƒ ์—ฐ๊ฒฐ์„ฑ๊ณผ ๋ฌผ๋ฆฌ์  ์ œ์•ฝ์„ ๋™์‹œ์— ๊ณ ๋ คํ•˜๋Š” ์ƒˆ๋กœ์šด ํ™•์‚ฐ ๋ชจ๋ธ ๊ธฐ๋ฐ˜ ๋งคํฌ๋กœ ๋ฐฐ์น˜ ์ƒ์„ฑ ๋ฐฉ๋ฒ•๋ก ์„ ์ œ์‹œํ•œ๋‹ค.
โ€ข
์ œ์•ˆ๋œ Physics-Guided Sampling ์ „๋žต์€ ํ†ต๊ณ„์  ํƒ€๋‹น์„ฑ๊ณผ ๋ฌผ๋ฆฌ์  ์œ ํšจ์„ฑ์„ ๋™์‹œ์— ๋ณด์žฅํ•˜๋Š” ์ƒ์„ฑ ๋ชจ๋ธ์˜ ํ•ต์‹ฌ ๊ธฐ์ˆ ๋กœ ํ™œ์šฉ๋  ์ˆ˜ ์žˆ๋‹ค.
โ€ข
ํ˜„ ๋‹จ๊ณ„์—์„œ๋Š” ์ตœ์ ํ™”๋œ ๋ฌผ๋ฆฌ์  ์ œ์•ฝ ์กฐ๊ฑด์„ ๋”์šฑ ์ •๊ตํ•˜๊ฒŒ ๋ฐ˜์˜ํ•˜๋Š” ๋ฐฉ์•ˆ์— ๋Œ€ํ•œ ์ถ”๊ฐ€ ์—ฐ๊ตฌ๊ฐ€ ํ•„์š”ํ•˜๋ฉฐ, ๋” ๋‹ค์–‘ํ•œ ์ข…๋ฅ˜์˜ ์ œ์•ฝ ์กฐ๊ฑด์„ ํ†ตํ•ฉํ•˜๋Š” ๊ฒƒ์ด ํ–ฅํ›„ ๊ณผ์ œ๋กœ ๋‚จ์•„์žˆ๋‹ค.
๐Ÿ‘