# Data Science: 5 Statistics & Math tools

1. MEAN / MEDIUM

2. PERCENTILE

3. SKEWNESS

4. STANDARD DEVIATION

5. PCA = Pricinpal Component Analysis

1. Probability & Statistics

2. Linear Algebra (Matrix, Eigenvectors, Eigenvalues)

3. Optimisation : eg. Gradient Descent, etc.

4. Discrete Math in Computing

(想看更多合你口味的内容，马上下载 今日头条)

# “No, Machine Learning is not just glorified Statistics”

“No, Machine Learning is not just glorified Statistics” by Joe Davison https://link.medium.com/fv3z50FDYY

Video Game Animation: Verlet Integration

AI: Stats, Probability, Calculus, Linear Algebra

Search Engine : PageRank: Linear Algebra

Abstraction in Program “Polymorphism” : Monoid, Category, Functor, Monad

Program “Proof” : Propositions as Types, HoTT

https://awalterschulze.github.io/blog/post/neglecting-math-at-university/

Abstraction: Monoid, Category

Category

# Unknown German Retiree Proved The “Gaussian Correlation Inequality” Conjecture

https://www.wired.com/2017/04/elusive-math-proof-found-almost-lost

$\boxed {P (a + b) \geq P (a) \times P (b)}$

Case “=” : if (a, b) independent
Case “>” : if (a, b) dependent

Thomas Royen used only high-school math (function, derivative) in his proof in 2014. He then published it in arxiv.org website – like Perelman did with the “Poincaré Conjecture”.

# Statistics detects cheat

Statistics & Truth [by CR Rao]:

RedCross hires local food contractors to supply rice, salt, water to N unknown survived victims of a recent Earthquake.

The bill shows they supply quantities R, S, W, resp, per day.
Assume average daily consumption per person be r, s, w resp.

To verify any cheating of overbill by contractors:

R/r = S/s = W/w = N