Machine Learning Theory(1)

1. What is ML
Rule_Based
Learning_From_Experience
2. History
Vapnik,Chervonenkis 1970's VC Theory
Leslie-Valiant 1984 PAC-Learning Theory
Vapnik,Schapire1990'sSVM_Boosting
Pearl 1980-1990 Graphical Models
Hinton,LeCunm 2011 DeepLearning
Sutton 1980-1990 & Deepmind 2016 Reinforcement Learning
3. Subfield
  • Supervised Learning
  • Unsupervised Learning
  • Online learning
  • Interactive Learning
  • Graphical Models
  • RL
  • DL
4. Foundation of (supervised) learning
  1. collecting training data (xi,yi)(x_{i},y_{i})(xi,yi)

  2. learn a mapping F from X to Y based on training data[design a learning algorithm]

  3. test(prediction):F(x)

    Assumption: training test Independently identical distribution

    f∗(x)=argmaxyP(y∣x)f^{*}(x)=argmax_{y}P(y|x)f(x)=argmaxyP(yx)

5. books
  1. Learning Theory

    Foundations of Machine Learning

    Understanding Machine Learning: From Theory to Algorithm

  2. Optimization

    Convex Optimization Algorithm and Complexity

  3. RL

    Reinforcement Learning David Silver

  4. Graphical Models

    Probabilistic graphical models Koller

robert schapire

peter bartlett

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