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西瓜书读书笔记3-对数几率回归(logistic回归)公式推导
阅读量:226 次
发布时间:2019-03-01

本文共 839 字,大约阅读时间需要 2 分钟。

?????????????

1. ??????

???????Generalized Linear Model, GLM?????????????????????????????????????????????GLM????????

  • ??????????????????????
  • ?????????????????????????
  • ?????????????????????????????????????????
  • GLM?????????????????????????????????

    2. ??????

    ???????Logistic Regression???????????????????????????????????????????????????????????

  • ?????????????????????????????????
  • ???????????????????????????
  • 1. ???????????????

    ?????????????[ \log(\pi_{y=1}X) = \beta_0 + \beta_1X_1 + \beta_2X_2 + \ldots + \beta_kX_k ]???(\pi_{y=1})?????????(X_1, X_2, \ldots, X_k)?????

    2. ????????

    ????????[ \mathcal{L}(\beta) = \sum_{i=1}^n [\ln(\pi_{y_i=1}X_i) + \ln(\pi_{y_i=0}X_i)] ]???(\beta)??????????????????????

    3. ???????????

    ?????????????????????????(\hat{\beta})??????????????

    3. ???????????

    ?????????????????????????????????????????????????????????

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