chapter4linearmodelsforclassification-文庫(kù)吧資料
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【正文】 se variable ? The boundary between class k and l ? Linear boundary: an affine set or hyper plane Introduction ? 線性邊界的條件 : “Actually, all we require is that some monotone transformation of or Pr(G = k|X = x) be linear for the decision boundaries to be linear.” (?) ? 推廣 函數(shù)變換，投影變換 …… Linear Regression of an Indicator Matrix ? Indicator response matrix ? Predictor ? Linear regression model 將分類(lèi)問(wèn)題視為回歸問(wèn)題，線性判別函數(shù) Linear Regression of an Indicator Matrix ? Parameter estimation ? Prediction Linear Regression of an Indicator Matrix ? 合理性 (?) Rationale: an estimate of conditional probability (?) 線性函數(shù)無(wú)界 (Does this matter?) Linear Regression of an Indicator Matrix ? 合理性 (?) Masking problem Linear Discriminant Analysis ? 應(yīng)用多元統(tǒng)計(jì)分析：判別分析 ? Logratio： Prior probability distribution ? Assumption: each class density as multivariate Gaussian Linear Discriminant Analysis (LDA) ? Additional assumption: classes have a mon covariance matrix Logratio:
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