掌握线性代数为机器学习打下坚实基础!
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线性代数是数学领域,也是机器学习领域重要的支柱。对于初学者来说,要想学好机器学习,线性代数的掌握是必不可少的,也可以说是十分十分重要的。
春节后的第一天,公众号特此为大家分享一份这样的顶级学习清单。希望大家在新的一年里,学业有成,事业更旺。同时也感谢大家对公众号一直以来的支持与厚爱!
维基百科
一些高层次的学习网页:
- 线性代数
https://en.wikipedia.org/wiki/Linear_algebra
- 矩阵(数学)
https://en.wikipedia.org/wiki/Matrix_(mathematics)
- 矩阵分解
https://en.wikipedia.org/wiki/Matrix_decomposition
- 线性代数主题列表
https://en.wikipedia.org/wiki/List_of_linear_algebra_topics
书籍教程
所有书籍,编辑部费劲千辛万苦给大家都下载好了。
在文末获取。
- Introduction to Linear Algebra, Fifth Edition, Gilbert Strang, 2016.
![](data:image/svg+xml;utf8,<svg%20xmlns='http://www.w3.org/2000/svg' width='403' height='500'></svg>)
- Linear Algebra Done Right, Third Edition, 2015.
- No Bullshit Guide To Linear Algebra, Ivan Savov, 2017.
- Matrix Computations, Gene Golub and Charles Van Loan, 2012.
- Numerical Linear Algebra with Applications: Using MATLAB.
- Numerical Linear Algebra with Applications Using MATLAB.
- Applied Multivariate Statistical Analysis, Richard Johnson and Dean Wichern, 2012.
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- Linear Algebraand Its Applications David C. Lay, 2016.
- ADVANCED LINEAR ALGEBRA NICHOLAS LOEHR, Virginia Polytechnic Institute and State University Blacksburg, USA, 2014.
- Elementary Linear Algebra, 8e, Ron Larson, 2017.
- 还有更多优秀的免费在线图书。 在维基百科上查看线性代数页面的末尾,可以看到更多的书籍列表。
https://en.wikipedia.org/wiki/Linear_algebra#Further_reading
大学课程
现在许多大学课程提供PDF版本的讲义幻灯片,笔记和阅读材料。 有些甚至提供预先录制的视频讲座,这是非常宝贵的。
美国顶尖学校推荐的一些课程包括:
- MIT的线性代数——Gilbert Strang
https://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/index.htm
- The Matrix in Computer Science at Brown by Philip Klein
http://cs.brown.edu/courses/cs053/current/index.htm
- Computational Linear Algebra for Coders at University of San Francisco by Rachel Thomas.
https://github.com/fastai/numerical-linear-algebra/
在线课程
- Linear Algebra on Khan Academy
https://www.khanacademy.org/math/linear-algebra
- Linear Algebra: Foundations to Frontiers on edX
https://www.edx.org/course/laff-linear-algebra-foundations-to-frontiers
问答平台
考虑到当前有大量的问答平台,有很多地方可以在线提出有关线性代数的问题。
以下是推荐的最热门的平台,供大家参考学习:
- Linear Algebra tag on the Mathematics Stack Exchange
https://math.stackexchange.com/?tags=linear-algebra
- Linear Algebra tag on Cross Validated
https://stats.stackexchange.com/questions/tagged/linear-algebra
- Linear Algebra tag on Stack Overflow
https://stackoverflow.com/questions/tagged/linear-algebra
- Linear Algebra on Quora
https://www.quora.com/topic/Linear-Algebra
- Math Subreddit
https://www.reddit.com/r/math/
NumPy资源
在Python中实现线性代数时,您可能需要NumPy的帮助。
- NumPy Reference
https://docs.scipy.org/doc/numpy/reference/
- NumPy Array Creation Routines
https://docs.scipy.org/doc/numpy/reference/routines.array-creation.html
- NumPy Array Manipulation Routines
https://docs.scipy.org/doc/numpy/reference/routines.array-manipulation.html
- NumPy Linear Algebra
https://docs.scipy.org/doc/numpy/reference/routines.linalg.html
- SciPy Linear Algebra