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MIT-CS6-00课程笔记Lec22-24

Lec22.

  • 正态分布
  • 均匀分布
  • 指数分布

Lec23.

data enhancement:extrapolate
Texas sharp shooter fallacy(神射手谬误)

股市模拟:

  • efficient market hypothesis:有效性市场假说==>随机漫步模型
    • stock & market
    • adjusted for risk
    • distribution
    • multiplicative vs additive
    • memoryless(Poisson):无记忆性

Lec24.

think computationly

computational thinking:

  • identify or invent useful abstractions
  • formulate solution to a problem as a computational experiment
  • design and construct a sufficiently implementation of experiment
  • validate experimental setup
  • run experment
  • evaluate results of experiment
  • repeat as needed

Abstraction:

  • choosing the right abstractions
  • operating in terms of multiple layers of abstractions simultaneously
  • defining the relationships the between

Automation:

  • think in terms of machineizing our abstractions
  • Mechanization is possible

thinking recursively:

  • Reformulating a seemingly difficult problem into one which we know how to solve
  • Reduction,cmbedding,transformation,simulation

Take it a step at time:

  • understand problem
  • think about overall structure and algorithm independently of expression in programming language
  • break into small parts
  • identify useful abstractions
  • code and unit test a part at a time
  • first functionality, then efficiency
  • start with pseudo code

By systematic:

  • when debugging, think scientific method
  • ask yourself why program did what it did, not why it didn’t do what you wanted it to do.