Просмотр кода страницы Linear Algebra for Data Science (2022)

<!-- =Linear Algebra for Data Science= -->

===General information===

One semester course. 6 credits.

Lecturer: [https://www.hse.ru/org/persons/64913 Dmitri Piontkovski] (Дмитрий Игоревич Пионтковский)

Class teacher: [https://www.hse.ru/org/persons/35919212 Vsevolod Chernyshev] (Всеволод Леонидович Чернышев)

[https://t.me/+z7HRpA1QZvViMWVi Telegram channel]

===Schedule===
{| class="wikitable"
|-
! Type !! Day of week !! Time !! Place
|-
| Lectures || Friday || 18:10-19:30 || S224, Pokrovsky Blvd. 11 (Покровский б-р 11)
|-
| Seminars || Friday || 19:40-21:00 || S224, Pokrovsky Blvd. 11 (Покровский б-р 11)
|}

===Grading system===

'''<span style="color:red">Final Grade</span>''' = 0.5 * Test1 + 0.5 * Test2 + Bonus (for a talk, ≤ 5) + Bonus (for classes, ≤1..2)

'''<span style="color:green">Tests</span>''': unique for everyone

'''<span style="color:green">Topics</span>''' on which you can prepare a talk: on your own (based on your experience) or from list: ''will be published soon''

===Homeworks===
{| class="wikitable"
|-
! Type!! Date !! Topics !! Download materials !! Read Materials !! Tasks !! Time to completion !! Deadline !! Download Solution !! Read Solution
|-
| <span style="color:green">Optional</span> || 14.09.22 || Pseudoinverse matrices. Skeletonization. || [https://github.com/addicted-by/hse_courses/raw/main/1st_year/term1/module1/linear_algebra_data_science/assignments/hw1.pdf Click] || [https://github.com/addicted-by/hse_courses/blob/main/1st_year/term1/module1/linear_algebra_data_science/assignments/hw1.pdf Click] || 4 || 15-30 min || 16.09.22 || [https://github.com/addicted-by/hse_courses/raw/main/1st_year/term1/module1/linear_algebra_data_science/assignments/homeworks1_linear_algebra_for_ds.pdf Click] || [https://github.com/addicted-by/hse_courses/blob/main/1st_year/term1/module1/linear_algebra_data_science/assignments/homeworks1_linear_algebra_for_ds.pdf Click]
|-
| Soon || soon || || || || || || 
|}

===Lectures===
All lectures you will find [https://github.com/addicted-by/hse_courses/raw/main/1st_year/term1/module1/linear_algebra_data_science/lectures_linear_algebra_for_ds.pdf here]
{| class="wikitable"
|-
! Lecture !! Date !! Topics !! Download materials !! Read Materials !! Pages !!  Reading time !! GitHub (for changes) 
|-
| Lecture 1 || 09.09.22 || Distinctive features of applied linear algebra. <br> Problems with real data. Pseudoinverse matrices. Skeletonization. || [https://github.com/addicted-by/hse_courses/raw/main/1st_year/term1/module1/linear_algebra_data_science/lectures/lecture1_linear_algebra_for_ds.pdf Click] || [https://github.com/addicted-by/hse_courses/blob/main/1st_year/term1/module1/linear_algebra_data_science/lectures/lecture1_linear_algebra_for_ds.pdf Click] || 3p || 7 min read || [https://github.com/addicted-by/hse_courses/tree/main/1st_year/term1/module1/linear_algebra_data_science/lectures/lecture1.tex Click]
|-
| Lecture 2 || 16.09.22 || Pseudosolutions and its applications. Linear Regression. || [https://github.com/addicted-by/hse_courses/raw/main/1st_year/term1/module1/linear_algebra_data_science/lectures/lecture2_linear_algebra_for_ds.pdf Click] || [https://github.com/addicted-by/hse_courses/blob/main/1st_year/term1/module1/linear_algebra_data_science/lectures/lecture2_linear_algebra_for_ds.pdf Click] || 3p (v1.0) || 10 min read || [https://github.com/addicted-by/hse_courses/blob/main/1st_year/term1/module1/linear_algebra_data_science/lectures/lecture2.tex Click]
|-
| Lecture 3 || 23.09.22 || Approximation. Interpolation problem. Polynomial interpolation.<br> Hermitian interpolation. Splines. Bézier curves and splines.|| [https://github.com/addicted-by/hse_courses/raw/main/1st_year/term1/module1/linear_algebra_data_science/lectures/lecture3_linear_algebra_for_ds.pdf Click] || [https://github.com/addicted-by/hse_courses/blob/main/1st_year/term1/module1/linear_algebra_data_science/lectures/lecture3_linear_algebra_for_ds.pdf Click] || 5(v1.5) || 10 min read || [https://github.com/addicted-by/hse_courses/blob/main/1st_year/term1/module1/linear_algebra_data_science/lectures/lecture3.tex Click]
|-
| Lecture 4 || 07.10.22 || Metric axioms. Metric spaces. Norms. Normed linear spaces.|| [https://github.com/addicted-by/hse_courses/raw/main/1st_year/term1/module1/linear_algebra_data_science/lectures/lecture4_linear_algebra_for_ds.pdf Click] || [https://github.com/addicted-by/hse_courses/blob/main/1st_year/term1/module1/linear_algebra_data_science/lectures/lecture4_linear_algebra_for_ds.pdf Click] || 4(v1.5) || 15 min read || [https://github.com/addicted-by/hse_courses/blob/main/1st_year/term1/module1/linear_algebra_data_science/lectures/lecture4.tex Click]
|-
| Lecture 5 || 14.10.22 || Norms. Minkovski's theorem. Euclidian space.|| [https://github.com/addicted-by/hse_courses/raw/main/1st_year/term1/module1/linear_algebra_data_science/lectures/lecture5_linear_algebra_for_ds.pdf Click] || [https://github.com/addicted-by/hse_courses/blob/main/1st_year/term1/module1/linear_algebra_data_science/lectures/lecture5_linear_algebra_for_ds.pdf Click] || 1(v0) || 12 min read || [https://github.com/addicted-by/hse_courses/blob/main/1st_year/term1/module1/linear_algebra_data_science/lectures/lecture5.tex Click]
|-
| Lecture 6 || 21.10.22 || Chebyshev polynomials of the first kind. Chebyshev polynomials of the second kind.|| [https://github.com/addicted-by/hse_courses/raw/main/1st_year/term1/module1/linear_algebra_data_science/lectures/lecture6_linear_algebra_for_ds.pdf Click] || [https://github.com/addicted-by/hse_courses/blob/main/1st_year/term1/module1/linear_algebra_data_science/lectures/lecture6_linear_algebra_for_ds.pdf Click] || 1(v0) || 12 min read || [https://github.com/addicted-by/hse_courses/blob/main/1st_year/term1/module1/linear_algebra_data_science/lectures/lecture6.tex Click]
|-
| Lecture 7 || soon || soon || soon || soon || soon || soon || soon
|}

===Seminars===
All seminars you will find [https://github.com/addicted-by/hse_courses/raw/main/1st_year/term1/module1/linear_algebra_data_science/seminars_linear_algebra_for_ds.pdf here]
{| class="wikitable"
|-
! Seminar!! Date !! Topics !! Download materials !! Read Materials !! Pages !!  Reading time !! GitHub (for changes) 
|-
| Seminar 1 || 09.09.22 || Pseudoinverse matrices. Skeletonization. Singular value decomposition (SVD) || [https://github.com/addicted-by/hse_courses/raw/main/1st_year/term1/module1/linear_algebra_data_science/seminars/seminar1_linear_algebra_for_ds.pdf Click] || [https://github.com/addicted-by/hse_courses/blob/main/1st_year/term1/module1/linear_algebra_data_science/seminars/seminar1_linear_algebra_for_ds.pdf Click] || 3p || 9 min read || [https://github.com/addicted-by/hse_courses/tree/main/1st_year/term1/module1/linear_algebra_data_science/seminars/seminar1.tex GitHub link]
|-
| Seminar 2 || 16.09.22 || || || || ||
|}

===[https://github.com/addicted-by/hse_courses/tree/main/1st_year/term1/module1/linear_algebra_data_science/references/references.pdf References]===
===='''<span style="color:red">Main literature</span>'''====
* [https://github.com/addicted-by/hse_courses/raw/main/1st_year/term1/module1/linear_algebra_data_science/references/%D0%A2%D1%8B%D1%80%D1%82%D1%8B%D1%88%D0%BD%D0%B8%D0%BA%D0%BE%D0%B2_%D0%BC%D0%B0%D1%82%D1%80%D0%B8%D1%87%D0%BD%D1%8B%D0%B9_%D0%B0%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7_%D0%B8_%D0%BB%D0%B8%D0%BD%D0%B5%D0%B9%D0%BD%D0%B0%D1%8F_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0.pdf Тыртышников Е. Е. Матричный анализ и линейная алгебра. Учебное пособие. (2007)] 
* [https://github.com/addicted-by/hse_courses/raw/main/1st_year/term1/module1/linear_algebra_data_science/references/%D0%91%D0%B5%D0%BA%D0%BB%D0%B5%D0%BC%D0%B8%D1%88%D0%B5%D0%B2_%D0%B4%D0%BE%D0%BF%D0%BE%D0%BB%D0%BD%D0%B8%D1%82%D0%B5%D0%BB%D1%8C%D0%BD%D1%8B%D0%B5_%D0%B3%D0%BB%D0%B0%D0%B2%D1%8B_%D0%BB%D0%B8%D0%BD%D0%B5%D0%B9%D0%BD%D0%BE%D0%B9_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D1%8B.pdf Беклемишев Д.В., Дополнительные главы линейной алгебры, СПБ, изд. Лань, 2008]
* [https://github.com/addicted-by/hse_courses/raw/main/1st_year/term1/module1/linear_algebra_data_science/references/%D0%A8%D0%B5%D0%B2%D1%86%D0%BE%D0%B2_%D0%BB%D0%B8%D0%BD%D0%B5%D0%B9%D0%BD%D0%B0%D1%8F_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0.pdf Шевцов Г.С. Линейная алгебра: теория и прикладные аспекты: Учеб. пособие. М.: Финансы и статистика, 2003 (или другой год издания). 576 с]
* [https://github.com/addicted-by/hse_courses/raw/main/1st_year/term1/module1/linear_algebra_data_science/references/Oliver_applied_linear_algebra.pdf Olver, P.J., and Shakiban, C. Applied linear algebra. 2nd edition. Springer, 2018]
* [https://github.com/addicted-by/hse_courses/raw/main/1st_year/term1/module1/linear_algebra_data_science/references/Horn_matrix_analysis.pdf R. Horn and C. Jonson. Matrix analysis. 2nd edition. Cambridge Univ. Press, 2013]
===='''<span style="color:green">Additional literature</span>'''====
* Винберг Э.Б., Курс алгебры, М., изд. МГУ, 2002 (и последующие издания);
* Бахвалов Н., Жидков Н., Кобельков Н., Численные методы, М., изд. Бином, 2003 (или другой год издания);
* Колмогоров А.Н., Фомин С.В., Элементы теории функций и функционального анализа, М., изд. Наука, 1976 (или другой год издания);
* Aleskerov F., Ersel H., Piontkovski D. Linear Algebra for Economists. Berlin—Heidelberg, Springer, 2011;
* Bryan, K. and Leise, T., 2006. The $25,000,000,000 eigenvector: The linear algebra behind Google. SIAM review, 48(3), pp.569-581;
* D. Cox, J. Little, and D. O’Shea. Ideals, varieties, and algorithms: an introduction to computational algebraic geometry and commutative algebra. Springer Science & Business Media, 2013.

===Contacts===
[https://t.me/gumanitariinenuzhny Polina Moskvicheva]

[https://t.me/addicted_by Aleksey Ryabykin]   [https://github.com/addicted-by Github]