目录 Chapter 1 Measure spaces Chapter 2 Integration Chapter 3 Spaces of integrable functions Chapter 4 Hilbert spaces Chapter 5 Fourier series Chapter 6 Operations on measures Chapter 7 The fundamental theorem of the integral calculus Chapter 8 Measura…

Source: Connected Brain Figure above: Bullmore E, Sporns O. Complex brain networks: graph theoretical analysis of structural and functional systems.[J]. Nature Reviews Neuroscience, 2009, 10(3):186-198. Graph measures A graph G consisting of a set of…

The Basics of Probability Probability measures the amount of uncertainty of an event: a fact whose occurence is uncertain. Sample space refers to the set of all possible events, denoted as . Some properties: Sum rule: Union bound: Conditional probabi…

Better intuition for information theory 2019-12-01 21:21:33 Source: https://www.blackhc.net/blog/2019/better-intuition-for-information-theory/ The following blog post is based on Yeung’s beautiful paper “A new outlook on Shannon’s information measure…

1 图论概述 1.1 发展历史 第一阶段: 1736:欧拉发表首篇关于图论的文章,研究了哥尼斯堡七桥问题,被称为图论之父 1750:提出了拓扑学的第一个定理,多面体欧拉公式:V-E+F=2 第二阶段(19~20世纪): 1852: Francis Guthrie提出四色问题 1856: Thomas P. Kirkman & William R.Hamilton研究了哈密尔顿图 1878: Alfred Kempe给出给出四色定理证明 1890: 希伍德(Heawood)推翻原有四色定理证明 1…

What: 就是将统计学算法作为理论,计算机作为工具,解决问题.statistic Algorithm. How: 如何成为菜鸟一枚? http://www.quora.com/How-can-a-beginner-train-for-machine-learning-contests 链接内容总结: "学习任何一门学科,framework是必不可少的东西.没有framework的东西,那是研究." -- Jason Hawk One thing is for sure; you ca…

https://www.quora.com/How-do-I-learn-machine-learning-1?redirected_qid=6578644   How Can I Learn X? Learning Machine Learning Learning About Computer Science Educational Resources Advice Artificial Intelligence How-to Question Learning New Things Lea…

Awesome Courses  Introduction There is a lot of hidden treasure lying within university pages scattered across the internet. This list is an attempt to bring to light those awesome courses which make their high-quality material i.e. assignments, lect…

Sorta Insightful Reviews Projects Archive Research About  In a world where everyone has opinions, one man...also has opinions Read-through: Wasserstein GAN Feb 22, 2017 I really, really like the Wasserstein GAN paper. I know it’s already gotten a lot…

Hi, Long time no see. Briefly, I plan to step into this new area, data analysis. In the past few years, I have tried Linux programming, device driver development, android application development and RF SOC development. Thus, "data analysis become my…

Recommended Books Here is a list of books which I have read and feel it is worth recommending to friends who are interested in computer science. Machine Learning Pattern Recognition and Machine Learning Christopher M. Bishop A new treatment of classi…

原文地址:http://blog.sina.com.cn/s/blog_7e5f32ff0102vlgj.html 入门书单 1.<数学之美>PDF6 作者吴军大家都很熟悉.以极为通俗的语言讲述了数学在机器学习和自然语言处理等领域的应用. 2.<Programming Collective Intelligence>(<集体智慧编程>)PDF3 作者Toby Segaran也是<BeautifulData : The Stories Behind Elegant…

1. 线性代数 (Linear Algebra): 我想国内的大学生都会学过这门课程,但是,未必每一位老师都能贯彻它的精要.这门学科对于Learning是必备的基础,对它的透彻掌握是必不可少的.我在科大一年级的时候就学习了这门课,后来到了香港后,又重新把线性代数读了一遍,所读的是 Introduction to Linear Algebra (3rd Ed.)  by Gilbert Strang. 这本书是MIT的线性代数课使用的教材,也是被很多其它大学选用的经典教材.它的难度适中,讲解清晰,…

https://ocw.mit.edu/courses/find-by-topic/#cat=mathematics Course # Course Title Level 1.010 Uncertainty in Engineering Undergraduate 1.017 Computing and Data Analysis for Environmental Applications Undergraduate 2.003J Dynamics and Control I (Fall 2…

Given the expansive growth in the field, it's become challenging to discern what belongs in a modern computer science degree. My own faculty is engaging in this debate, so I've coalesced my thoughts as an answer to the question, "What should every co…

http://exploredegrees.stanford.edu/coursedescriptions/cs/ CS 101. Introduction to Computing Principles. 3-5 Units. Introduces the essential ideas of computing: data representation, algorithms, programming "code", computer hardware, networking, s…

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Machine and Deep Learning with Python Education Tutorials and courses Supervised learning superstitions cheat sheet Introduction to Deep Learning with Python How to implement a neural network How to build and run your first deep learning network Neur…

Questions that are independent of programming language.  These questions are typically more abstract than other categories. Free Language Agnostic Programming Books 97 Things Every Programmer Should Know Algorithms and Data-Structures (PDF) Algorithm…

https://github.com/josephmisiti/awesome-machine-learning/blob/master/books.md Machine-Learning / Data Mining An Introduction To Statistical Learning - Book + R Code Elements of Statistical Learning - Book Probabilistic Programming & Bayesian Methods…

一.George Stocker 提供了一大串,分类如下: How to Design Programs: An Introduction to Computing and Programming 25 Free Computer Science Ebooks Free Tech Books MindView Inc Wikibooks: Programming Cheat Sheets (Free) CodePlex List of Free E-Books Book Training – O…

What skills are needed for machine learning jobs?机器学习工作必须技能 原文: http://www.quora.com/Machine-Learning/What-skills-are-needed-for-machine-learning-jobs/answer/Joseph-Misiti Machine Learning: What skills are needed for machine learning jobs? I am a lea…

1.老老实实把课本上的题目做完.其实说科大的课本难,我以为这话不完整.科大的教材,就数学系而言还是讲得挺清楚的,难的是后面的习题.事实上做1道难题的收获是做10道简单题所不能比的. 2.每门数学必修课至少要看一本参考书,尽量做一本习题集. 3.数学分析别做吉米,除非你太无聊,推荐北大方企勤的习题集.此外注意一下有套波兰的数学分析习题集,是不是搞得到中文或英文版. 4.线性代数推荐普罗斯库列科夫的<<线性代数习题集>>和法捷耶夫的<<高等代数习题集>>.莫斯科…

The primary tool for inspecting Linux disk performance is iostat. The output includes many important statistics, but they’re difficult for beginners to understand. This article explains what they mean and how they’re calculated. I usually run iostat…

Dynamic networks reveal key players in aging 系统生物学中的网络分析 网络的拓扑结构:topological properties, 网络的度:whole network connectivity (degree),节点度是指和该节点相关联的边的条数,又称关联度. 特别地,对于有向图, 节点的入度 是指进入该节点的边的条数: 节点的出度是指从该节点出发的边的条数. intramodular connectivity:Intramodular conne…

I Proofs1 What is a Proof?2 The Well Ordering Principle3 Logical Formulas4 Mathematical Data Types5 Induction6 State Machines7 Recursive Data Types8 Infinite SetsII Structures9 Number Theory10 Directed graphs & Partial Orders11 Communication Networks…

目录 一.引言 1.什么是.为什么需要深度学习 2.简单的机器学习算法对数据表示的依赖 3.深度学习的历史趋势 最早的人工神经网络:旨在模拟生物学习的计算模型 神经网络第二次浪潮:联结主义connectionism 神经网络的突破 二.线性代数 1. 标量.向量.矩阵和张量的一般表示方法 2. 矩阵和向量的特殊运算 3. 线性相关和生成子空间 I. 方程的解问题 II. 思路 III. 结论 IV.求解方式 4. 范数norm I. 定义和要求 II. 常用的\(L^2\)范数和平方\(L^2\…

The following is a list of free, open source books on machine learning, statistics, data-mining, etc. Machine-Learning / Data Mining An Introduction To Statistical Learning - Book + R Code Elements of Statistical Learning - Book Probabilistic Program…

Machine Learning Trick of the Day (2): Gaussian Integral Trick Today's trick, the Gaussian integral trick, is one that allows us to re-express a (potentially troublesome) function in an alternative form, in particular, as an integral of a Gaussian ag…

Github上的1000多本免费电子书重磅来袭!   以前 StackOverFlow 也给出了一个免费电子书列表,现在在Github上可以看到时刻保持更新的列表了. 瞥一眼下面的书籍分类目录,你就能知道这个免费电子书库的含金量了吧.记得一定要看几本,千万别下载了大量书籍而束之高阁! 行动重于空想! Github地址:     https://github.com/vhf/free-programming-books/blob/master/free-programming-books.md I…