19. 19分散最大化の一般解
M 次元に一般化 [Ex. 12.1]
データ分散行列 S の,
大きい順に M 個の固有値に対応する M 個の固有ベクトルにより,
射影されたデータ分散最大の最適な線形射影が定義される.
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31. 31誤差最小化問題の一般解
任意の D と任意の M < D に対する一般化 [Ex. 12.2]
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歪み尺度の値
一般解 S の固有値の小さいものから D-M 個に対応する固有ベクトル
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M < D という場合を考えてきたが,M = D の場合でも PCA 適用可.
主成分に沿うように座標軸の回転がするだけ.