Data Science: 5 Statistics & Math tools

【掌握这五大统计学知识,让你笑傲数据科学界】
https://m.toutiaocdn.com/group/6723020943871967751/?app=news_article_lite&timestamp=1565375984&req_id=20190810023944010152028205708822C&group_id=6723020943871967751&tt_from=android_share&utm_medium=toutiao_android&utm_campaign=client_share

1. MEAN / MEDIUM

2. PERCENTILE

3. SKEWNESS

4. STANDARD DEVIATION

5. PCA = Pricinpal Component Analysis

【学习大数据,我不会数学怎么办?还要不要学啦?】
https://m.toutiaocdn.com/group/6706386149763449356/?app=news_article_lite&timestamp=1565378178&req_id=20190810031618010152042134003992B&group_id=6706386149763449356&tt_from=android_share&utm_medium=toutiao_android&utm_campaign=client_share

1. Probability & Statistics

2. Linear Algebra (Matrix, Eigenvectors, Eigenvalues)

3. Optimisation : eg. Gradient Descent, etc.

4. Discrete Math in Computing

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Math High-Pay Career in Data Science

https://towardsdatascience.com/data-science-jobs-with-their-salaries-171acd3bf9be

Gone are the days where Math graduates were destined to low-pay teachers in the 1960s to 1990s.

Now Math career is the hottest high pay job in the 2 key engines of the “4th Industrial Revolution” , ie Mind Automation by Machine Learning (in Big Data) and its ‘Young Mother’ Artificial Intelligence.

The 3 top jobs (by order of pay) :

1. Data Scientist (US $120K) :

Skills : Math (Stats, Linear Algebra, Calculus, Probability, & potentially Algebraic Topology / Homological Algebra) + A. I.

Mathematician PhD preferred.

2. Data Architect / Engineer (US $100K)

Skill: Math + IT (especially in Big Data technologies).

3. Data Analyst / (US $65K)

Skills : IT + Business + some Math (Stats).

Tutorial on Sheaves in Data Analytics 

Background: What is Sheaf (束) ? 

https://tomcircle.wordpress.com/2014/05/05/sheaf-sheaves/


Lecture 1

Lecture 2

Lecture 2: What is Topology ?


Lecture 3: What is Sheaf ?

Terms : Stalks (茎) together = Sheaf (束 / 梱)

Lecture 4: Data Structure as Sheaf

Lecture 5: Categorification

Lecture 7 & 8: Cohomology, Noise, Persistence Cohomology

<span More… (Total 8 video lectures)

Tutorial on Sheaves in Data Analytics: http://www.youtube.com/playlist?list=PLSekr_gm4hWLvFtJX0WUueVO65uhvBPrA