そこで、ガウス分布を 𝐾 個混合したガウス混合モデルを考える • 積分して1になるように、重み 𝜋6 ∈ [0,1] を係数としてかける °5.0 °2.5 0.0 2.5 5.0 7.5 10.0 12.5 15.0 x 0.000 0.025 0.050 0.075 0.100 0.125 0.150 0.175 0.200 pµ (x) µ = 0, æ2 = 1, º = 0.5 µ = 5, æ2 = 0.5, º = 0.3 µ = 10, æ2 = 2, º = 0.2 GMM <latexit sha1_base64="6SSSumH08y0jIHP+UU7XVU8+TDQ=">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</latexit> p✓(x) = K X k=1 ⇡k N(x; µk, 2 k ) <latexit sha1_base64="lEjW+b00afrMDcPOca9BexsQhQ4=">AAADaHicnVLLahRBFD2Z9hHHR9q4UHETMiREGYbqIIkEhGBcCEHMw0kC6clQ3al0ivSL7pohsZkf8AdcZKXgQvyMbPwBF/mE6M4RBHHhre7GEAcVrKa77j33nlOni+vEvkwVY8dDFePc+QsXhy9VL1+5em3EvD66lkadxBVNN/KjZMPhqfBlKJpKKl9sxInggeOLdWdvQdfXuyJJZRQ+VwexaAXcC+WOdLkiqG22bLUrFJ98OGXHsp1Zvbrtb0cqrefpIqVB5wysUw2n0gu4rmxl06fVEl3M0bvVtlljDZavscHAKoMayrUUmd9hYxsRXHQQQCCEotgHR0rPJiwwxIS1kBGWUCTzukAPVeJ2qEtQByd0j74eZZslGlKuNdOc7dIpPr0JMccwwT6yd6zPPrD37IT9+KNWlmtoLwe0OwVXxO2Rl7dWv/2TFdCusHvK+qtnhR08yL1K8h7niP4Lt+B3X7zqr86tTGST7A37TP5fs2N2RH8Qdr+6b5fFyiGpa/3HxCruMKHoaenhGSkKQnSmb+EenWPnPR751Cf2yjv2CK//wv5XkWN/QLHA9JhYvw/FYLA23bBmGjPL92vzj8qBGcYdjGOKpmIW83iCJTTJ1xFO8AX9yifDNG4at4vWylDJuYEzyxj/CXuMzig=</latexit> ✓ = (⇡1, . . . , ⇡K, µ1, . . . , µK, 2 1 , . . . , 2 K )