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Two-Valued Symmetric Circulant Matrices: Applications in Deep Learning

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์ €์ž

Jayakrishna Amathi, Venkata Prasanth Yanambaka, Saraju P. Mohanty, Elias Kougianos

๐Ÿ’ก ๊ฐœ์š”

๋ณธ ๋…ผ๋ฌธ์€ ์ž์› ์ œ์•ฝ์ ์ธ ํ™˜๊ฒฝ์—์„œ ๋”ฅ๋Ÿฌ๋‹ ๋ชจ๋ธ์˜ ๋ฐฐํฌ ๋ฌธ์ œ๋ฅผ ํ•ด๊ฒฐํ•˜๊ธฐ ์œ„ํ•ด ๊ทน๋„๋กœ ํฌ์†Œํ•œ ๊ตฌ์กฐ๋ฅผ ๊ฐ€์ง„ Two-Valued Symmetric Circulant Matrix (TVSCM)๋ฅผ ์ œ์•ˆํ•œ๋‹ค. TVSCM์€ ๊ฐ ๋ ˆ์ด์–ด์— ๋‹จ ๋‘ ๊ฐœ์˜ ๊ฐ€์ค‘์น˜๋งŒ์„ ์‚ฌ์šฉํ•˜์—ฌ ์ˆœํ™˜ ๋Œ€์นญ ํ–‰๋ ฌ์„ ๊ตฌ์„ฑํ•จ์œผ๋กœ์จ ์ €์žฅ ๊ณต๊ฐ„๊ณผ ๊ณ„์‚ฐ ๋ณต์žก์„ฑ์„ ํš๊ธฐ์ ์œผ๋กœ ์ค„์ธ๋‹ค. ์‹œ๋ฎฌ๋ ˆ์ด์…˜ ๊ฒฐ๊ณผ, MNIST ๋ฐ MIT-BIH ๋ฐ์ดํ„ฐ์…‹์—์„œ ๋ชจ๋ธ ํŒŒ๋ผ๋ฏธํ„ฐ๋ฅผ 80๋ฐฐ ์ด์ƒ ๊ฐ์†Œ์‹œํ‚ค๋ฉด์„œ๋„ ์œ ์‚ฌํ•œ ์ •ํ™•๋„๋ฅผ ์œ ์ง€ํ•˜๋Š” ์„ฑ๊ณผ๋ฅผ ๋ณด์˜€๋‹ค.

๐Ÿ”‘ ์‹œ์‚ฌ์  ๋ฐ ํ•œ๊ณ„

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์ž์› ์ œ์•ฝ์ ์ธ ์—ฃ์ง€ ์ปดํ“จํŒ…, Tiny-ML, IoMT, ๋ฐฐํ„ฐ๋ฆฌ ๊ตฌ๋™ ์‹œ์Šคํ…œ์— ์ตœ์ ํ™”๋œ ๊ฒฝ๋Ÿ‰ ๋”ฅ๋Ÿฌ๋‹ ๋ชจ๋ธ ์•„ํ‚คํ…์ฒ˜ ์ œ๊ณต
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์ „ํ†ต์ ์ธ ํฌ์†Œ ํ•™์Šต ๊ธฐ๋ฒ• ๋Œ€๋น„ ํ›จ์”ฌ ๋‚ฎ์€ ์ €์žฅ ๋น„์šฉ๊ณผ ์—ฐ์‚ฐ ๋ณต์žก์„ฑ์„ ๋‹ฌ์„ฑ
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๊ทน๋‹จ์ ์ธ ํฌ์†Œ์„ฑ์œผ๋กœ ์ธํ•ด ๋ชจ๋ธ์˜ ํ‘œํ˜„๋ ฅ์ด๋‚˜ ๋ณต์žกํ•œ ํŒจํ„ด ํ•™์Šต ๋Šฅ๋ ฅ์— ํ•œ๊ณ„๊ฐ€ ์žˆ์„ ์ˆ˜ ์žˆ์œผ๋ฉฐ, ๋‹ค์–‘ํ•œ ๋ณต์žกํ•œ ๋”ฅ๋Ÿฌ๋‹ ํƒœ์Šคํฌ์— ๋Œ€ํ•œ ์ผ๋ฐ˜ํ™” ์„ฑ๋Šฅ ๊ฒ€์ฆ ํ•„์š”
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