High-Dimensional Probability
Highly recommended “High-Dimensional Probability: An Introduction with Applications in Data Science” June 9, 2020, Roman Vershynin, University of California, Irvine. 🎉Free 301-page PDF ebook downloadable at ⏬https://www.math.uci.edu/~rvershyn/ ; with 41 very nice hand-written notes and videos and homeworks which explains most contents of the book 👉https://www.math.uci.edu/~rvershyn/teaching/hdp/hdp.html.
High-Dimensional Probability and Applications in Data Science
A video course
Welcome to my free video course in high dimensional probability. I am Roman Vershynin, professor of mathematics at the University of California, Irvine, and the author of the textbook “High dimensional probability. An introduction with applications in Data Science.”
This course builds probabilistic foundations for theoretical research in modern data science. You will learn some methods that form an essential toolbox for anyone looking to do mathematical work in machine learning, theoretical computer science, theoretical statistics, signal processing, etc.
The course is suitable for students in mathematics, statistics, computer science, and electrical engineering. A solid background in undergraduate linear algebra, real analysis, and probability theory are minimum prerequisites. Some familiarity with metric, Hilbert and normed spaces is a plus, but is not required. Knowledge of measure theory is not required.
The course consists of 41 video lectures and 13 homework sets. It was taught remotely at Kyiv National University in the Fall of 2022, during the Russian invasion of Ukraine. The unparalleled determination of Ukrainian students to study mathematics despite the hardships of the war was a tremendous source of inspiration for me.
Some parts of this course are loosely based on my book, the draft of which you can download for free.
强烈推荐的“高维概率：数据科学中的应用介绍”2020年6月9日，加州大学尔湾分校罗曼·维尔申宁(Roman Vershynin)。🎉免费301页PDF电子书下载⏬ https://www.math.uci.edu/~rvershyn/ ；用41个非常好的手写笔记、视频和家庭作业，解释本书的大部分内容👉https://www.math.uci.edu/~rvershyn/teaching/hdp/hdp.html
《高维概率和数据科学中的应用》视频课程 欢迎参加我的高维视频课程。我是加州大学欧文分校数学教授罗曼·维希宁(Roman Vershynin)，也是《高维概率》一书的作者。 本课程为现代数据科学的理论研究奠定了概率基础。您将学习一些方法，这些方法是任何希望在机器学习、理论计算机科学、理论统计学、信号处理等方面从事数学工作的人的基本工具箱。该课程适合数学、统计学、计算机科学和电气工程方面的学生。本科线性代数、真实分析和概率论是最基本的先决条件。熟悉度量、希尔伯特和规范空间是一个加分项，但不是必需的。不需要测量理论的知识。该课程包括41个视频讲座和13个家庭作业集。它于2022年秋天在俄罗斯入侵乌克兰期间在基辅国立大学远程教授。尽管战争的艰辛，乌克兰学生学习数学的无与伦比的决心对我来说是一个巨大的灵感来源。本课程的某些部分大致基于我的书，您可以免费下载的草稿。
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