[Math] Mathematics for Machine Learning 2. Linear Algebra

2024. 1. 10. 16:20ยท๐Ÿฌ ML & Data/โ” Q & etc.
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๊ทผ๋ž˜์— ์ •๋ง์ด์ง€ ์ˆ˜ํ•™ ๊ณต๋ถ€์˜ ํ•„์š”์„ฑ์„ ๋А๊ปด์„œ MML ์ด๋ผ๋Š” ๋จธ์‹ ๋Ÿฌ๋‹ ์ˆ˜ํ•™์˜ ๋ฐ”์ด๋ธ” ๊ฐ™์€ ์ฑ…์œผ๋กœ ๊ณต๋ถ€๋ฅผ ์‹œ์ž‘ํ–ˆ๋Š”๋ฐ...

์ผ๋‹จ ์˜์–ด๊ณ (!), ์šฉ์–ด๊ฐ€ ๋„ˆ๋ฌด ๋งŽ๊ณ (!), ๋‚ด์šฉ๋„ ์–ด๋ ค์›Œ์„œ ์•„์ฃผ ์• ๋ฅผ ๋จน๊ณ  ์žˆ๋‹ค. ์–ด์ฐŒ์ €์ฐŒ ์ดํ•ดํ–ˆ๋‹ค๊ณ  ์ƒ๊ฐํ–ˆ๋Š”๋ฐ ์—ฐ์Šต๋ฌธ์ œ๋ฅผ ๋ณด๋‹ˆ๊นŒ ๋˜ ์ด์•ผ~ ๋ชจ๋ฅด๊ฒ ๊ณ  ๋‚œ๋ฆฌ๋‹ค... ๋‹ต์•ˆ์ง€๋ฅผ ๋ด๋„ ์ดํ•ด๊ฐ€ ์–ด๋ ค์šด ๋ถ€๋ถ„์ด ๋งŽ์•„์„œ ๊ผผ๊ผผํ•˜๊ฒŒ ๊ฐ€์ด๋“œ ๋”ฐ๋ผ ๋‘์„ธ๋ฒˆ ํ’€์–ด๋ด์•ผ ์ดํ•ด๊ฐ€ ๋˜์ง€ ์‹ถ๋‹ค. ๊ทผ๋ฐ ๋„ˆ๋ฌด ์–ด๋ ต๋‹ค ใ…Žใ…‹... 

์„ ํ˜•๋Œ€์ˆ˜ ๊ฐ•์˜๋ฅผ ์ˆ˜๊ฐ•ํ–ˆ์—ˆ๋Š”๋ฐ๋„ ๋‚ด๊ฐ€ ๋“ค์—ˆ๋˜ ์„ ํ˜•๋Œ€์ˆ˜ ๊ฐ•์˜์˜ ๋ฒ”์œ„๋ณด๋‹ค ๋” ๋„“์€ ๋“ฏ ํ•˜๋‹ค. ์•„๋ฌดํŠผ ์•„๋ž˜ ๋งํฌ๋Š” ์ฐธ๊ณ ํ•œ ์‚ฌ์ดํŠธ ๋“ฑ. ํ•œ๊ตญ์–ด ๋ฒˆ์—ญ ํ•ด์ฃผ์‹  ์ค€๋ณ„๋‹˜ ์ •๋ง ๊ฐ์‚ฌํ•ฉ๋‹ˆ๋‹ค... ๋น„๊ตํ•˜๋ฉฐ ๋ณด๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค...

  • ๊ต์žฌ - pdf ๋ฌด๋ฃŒ ๊ณต๊ฐœ(https://mml-book.github.io/book/mml-book.pdf)
  • ๊ณ ๋ ค๋Œ€ํ•™๊ต ๊ฐ•์˜๋…ธํŠธ(https://savanna.korea.ac.kr/wp/?page_id=659)
  • 2.4.2๊นŒ์ง€ ์ •๋ฆฌํ•ด์ฃผ์‹  ์ฝ”๋”ฉํ•˜๋Š” ์ˆ˜ํ•™์Œค ๋‹˜์˜ ๋ธŒ๋Ÿฐ์น˜ ๋งค๊ฑฐ์ง„(https://brunch.co.kr/magazine/math4ai)
  • ilmoi๋‹˜์˜ ๊ฐœ์ธ ์Šคํ„ฐ๋”” ๊ธฐ๋ก(https://github.com/ilmoi/MML-Book)
  • junstar๋‹˜์˜ MML Study Note(ํ•œ๊ธ€ ๋ฒˆ์—ญ)(https://junstar92.github.io/mml-study-note/)

 

์—ฌ๊ธฐ์„œ๋ถ€ํ„ฐ๋Š” ์†์œผ๋กœ ์“ฐ๋ฉด์„œ ์ •๋ฆฌํ•œ ๋‚ด์šฉ์„ ๋ฐฑ์—…ํ•œ๋‹ค. ์ค‘๊ฐ„์— ๋ชจ๋ฅด๊ฒ ๋Š” ๋ถ€๋ถ„์€ ์ •์งํ•˜๊ฒŒ ๋ชจ๋ฅด๊ฒ ๋‹ค๊ณ  ์“ฐ์—ฌ์žˆ๊ณ , ํ‹€๋ฆฐ ๋ถ€๋ถ„์ด ์žˆ์„ ์ˆ˜ ์žˆ์œผ๋ฏ€๋กœ ์ฃผ์˜ ใ…Ž...

2.1 Systems of Linear Equation

2.2 Matrices - ๊ธฐ๋ณธ ๋‚ด์šฉ ์ƒ๋žต

2.3 Solving System of Linear Equations

2.4 Vector Spaces

2.5 Linear Independence

2.6 Rank and Basis

2.7 Linear Mapping

2.8 Affine Space

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[Math] Mathematics for Machine Learning 2. Linear Algebra
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