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文章目录

  • Edible Instruction
  • The difference of derivative and differential (Noted!!!)
  • Derivative (导数)
    • 1. Instance
    • 2. Geometric interpretation
    • 3. Concept
  • Differential (微分)
  • Partial Differential(偏微分)
  • Simple Bayes(朴素贝叶斯)
  • Maximum Likelihood Estimation(最大似然估计) and Maximum A Posteriori (最大后验估计)
  • Sigmoid Function
  • Bernouli Distribution (伯努利分布)
  • Cross Entropy (交叉熵)

Edible Instruction

  1. Don’t be afraid of any mathematics symbols, formulas or equations, also English!!!
  2. The importance of the reference video and article are the highest priority, if you can’t understand any symbols or formulas inside, search it from somewhere else.
  3. . I’m also a novice of ML, if you can’t comprehend those things, just keep trying. you’ll be success one day!

The difference of derivative and differential (Noted!!!)

Derivative

It describes that the trend(趋势) of how fast or slow the function changes at one point, which is a rate of change

Differential

It describes that the change(幅度) of a function from one point(moving an infinitesimal amount无穷小量) to another point, is a variable amount(变化的量)

Derivative (导数)

Reference
https://www.bilibili/video/BV1ev411z7 P16

1. Instance

Calculate the average rate of change, which is 1

But if it has a unexpected circumstance, the average rate is 0

So we need to calculate the instantaneous rate of change, we’ll use the concept of limits.

2. Geometric interpretation

Tips: Leibniz also invented the calculus

3. Concept

Differential (微分)

Reference
https://zhuanlan.zhihu/p/31963102

Partial Differential(偏微分)

Reference
https://www.zhihu/question/272499712/answer/441638297

Simple Bayes(朴素贝叶斯)

(https://zhuanlan.zhihu/p/141811272)

Maximum Likelihood Estimation(最大似然估计) and Maximum A Posteriori (最大后验估计)

https://zhuanlan.zhihu/p/32480810

Sigmoid Function

https://zhuanlan.zhihu/p/352668984

Bernouli Distribution (伯努利分布)

https://zhuanlan.zhihu/p/144165136

Cross Entropy (交叉熵)

https://zhuanlan.zhihu/p/149186719

本文标签： LearningmachineMathematicsKnowledge

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