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PRML 12.2-12.2.2
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PRML 12.2-12.2.2
1.
PRML 12.2-12.2.2 11/2/2018 酒井 ⼀徳
2.
⽬次 2/55 Ø 12.2
確率的主成分分析 Ø 12.2.1 最尤法による主成分分析 Ø 12.2.2 EMアルゴリズムによる主成分分析
3.
12.2 確率的主成分分析
4.
Probabilistic PCAモチベーション 4/55 Ø
データから主成分を得る. Ø (データ)=(主成分)+(損失) PCA Ø 主成分(潜在変数)があり、データはそこにノイズが乗ったもの. Ø (主成分)+(ノイズ)=(データ) Ø 因⼦分析っぽい. PPCA
5.
おさらいと区別 5/55 PCA Ø データ空間よりも低次元の部分空間上への データ点の直交射影. PPCA Ø
確率モデルは,潜在変数を持つ線形ガウスモデル. Ø 最尤解が,通常のPCAを再現.
6.
PPCAのざっくり利点 6/55 Ø ⽣成モデルとして利⽤可. Ø
潜在変数モデル導⼊でEMの利⽤可. • 効率的. • ⽋損値を扱える. • 混合モデルにも対応しやすい. Ø ベイズ的取り扱いの⾜がかり. • 主部分空間の次元の⾃動決定(ARD). Ø 分類問題に利⽤可. Ø 尤度関数で他のモデルと⽐較が容 易.
7.
PCAの再現コスト 7/55 訓練データの 分布 テストデータの 分布 Ø PCAの再現コストは誤解を招く恐れがある. <latexit
sha1_base64="3jLY4Ws7DT38UKRFFcE+onCW18I=">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</latexit> テストデータの分布が離れていても, ⼩さな値になる可能性がある.
8.
PPCA定式化 8/55 Ø 線形ガウスモデル. Ø
潜在変数: <latexit sha1_base64="bSIZuqAMy56BIc+JvVZH3pBCFSw=">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</latexit> <latexit sha1_base64="y9G1shGj4ntTUaCXFS5POnczXso=">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</latexit> <latexit sha1_base64="v/T0K7u2k8uQPcABZDag1CsrK0Q=">AAACwnichVFLTxNRFP4YUAEfVNyQEJLGpsYVuTUmGlcksHBloFAgaWszM9zSC/Ny5rY8xq7c+QdcuIKEBXEnP8GF/gEX/ATjsiZuXPjN7SRGG/VO5t5zvnO+83QiTyVaiMsxa3ziytVrk1PT12/cvDVTuD27mYTd2JU1N/TCeNuxE+mpQNa00p7cjmJp+44nt5z95cy+1ZNxosJgQx9Fsunbu4FqK9fWhFqFhYZv647TTg/7xYYKikPVSav95+lKv1UoiUVhTnFUqORCCflZDQsf0cAOQrjowodEAE3Zg42EXx0VCETEmkiJxZSUsUv0MU1ul16SHjbRfd671Oo5GlDPYiaG7TKLxz8ms4iy+CzOxUB8Eu/EF/Hjr7FSEyOr5YivM+TKqDXzem79+39ZPl+Nzi8WGeV/VK3RxmNTrWL1kUGyPtxhhN7xm8H6k2o5vSdOxVd2cCIuxQf2EPS+uWdrsvrWVBQbjsSB6dk3VQScckpbwgw7tLWJdTkPzcgpM3XQyybKBVb+XNeosPlgsUJ57WFp6Vm+yknM4y7uc1+PsISnWEWN2V/hHO9xYa1Ye9YLKxm6WmM55w5+O9bLn4DNo3g=</latexit> Ø 観測変数: <latexit sha1_base64="wDbzVtnkS2PFjF18cgLO+iCdz0o=">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</latexit> <latexit sha1_base64="Paa3/VRXGvFxmhtWC9nKwRHn3bI=">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</latexit> <latexit sha1_base64="UKLap9wXJTvr/7/LnUmISAuBNbo=">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</latexit>
9.
⽣成モデルの観点 9/55 <latexit sha1_base64="lC9C8fRfkVc65SYhXggqZMb736c=">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</latexit> <latexit
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10.
(最尤法の尤度関数のための)周辺分布 10/55 <latexit sha1_base64="OnThDdxephR1wwBuXtAEfXHNjbI=">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</latexit> Ø
の周辺分布が必要.<latexit sha1_base64="krCDG8E5R2O/p5RmA1Ika7+doAg=">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</latexit> Ø ガウス同⼠の積だから結果もガウス. <latexit sha1_base64="wImvY99nCFUvEuFfAFQ3hy7de8U=">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</latexit> <latexit sha1_base64="d1LhGbB+upGeiNK/Gq84c9S5e2k=">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</latexit>
11.
再⽣性によるざっくり導出 <latexit sha1_base64="y9G1shGj4ntTUaCXFS5POnczXso=">AAAC9XichVHLahRBFD1pXzE+MupGcFM4jESQUBMExVXAjdmESeIkgUwYujs1mSL9ortmQqadH/AHXAQXigriwp0/4EJ/wEXArYK4TCAbF56uaTAa1Gq6+55z77mPul4S6MxIuTfmnDh56vSZ8bMT585fuDhZuXR5OYt7qa+afhzE6arnZirQkWoabQK1mqTKDb1ArXhb9wv/Sl+lmY6jh2YnUeuhuxnpjvZdQ6pdabRC13S9Tj4YilamQ2Gx7wYiF/NiKKZEGUA8IH50BEviW0fwHPHNdqUqp6U94rhRL40qytOIKx/QwgZi+OghhEIEQzuAi4zPGuqQSMitIyeX0tLWrzDEBLU9RilGuGS3+N0kWivZiLjImVm1zyoB35RKgZr8JF/LfflRvpHf5I+/5sptjqKXHf69kVYl7cnHV5cO/6sK+Tfo/lJRUftH1wYd3LXdanafWKaYwx9l6A+e7C/dW6zlN+Rz+Z0TPJN78j1niPoH/ssFtbhrO0qtRmHbzhzaLiLeck5fxgob9HXI9XgfhplzVuqiX9woF1j/c13HjeWZ6TrthdvV2flyleO4huuY4r7uYBYP0ECT1d/hM77gq7PtPHVeOK9Goc5YqbmC347z9idCU7RW</latexit> <latexit sha1_base64="LwlCzxYe23M5p/znf+T3bDUGYm0=">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</latexit> <latexit
sha1_base64="m9b9mk/7xf8GdgVxt0ZKxebOxbE=">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</latexit> Ø 線形変換後もガウス. <latexit sha1_base64="wImvY99nCFUvEuFfAFQ3hy7de8U=">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</latexit> <latexit sha1_base64="d1LhGbB+upGeiNK/Gq84c9S5e2k=">AAADA3ichVHLahRBFD1pXzE+MupGcFM4jAhCqAkBRRAC2ehG8ppMIJMM3Z2amSL9ortmJDazdOMPuHCl4EKyE7euFPQHXOQT1OUE3LjwdE1DGINaTVede26d+6jrJYHOjJSHU86p02fOnps+P3Ph4qXLs5UrVzeyuJ/6quHHQZxuem6mAh2phtEmUJtJqtzQC1TT21sq/M2BSjMdR+tmP1HboduNdEf7riHVruy0Qtf0vI7IxZIYigfi2G7SnrR2eFomDYnWyQzFHdHKdDd0rXN+QvJIDNuVqpyTdomToF6CKsq1HFc+o4VdxPDRRwiFCIY4gIuM3xbqkEjIbSMnlxJp61cYYobaPm8p3nDJ7nHv0toq2Yh2ETOzap9ZAv4plQI1+VW+lSP5RR7Ib/LXX2PlNkZRyz5Pb6xVSXv2+fW1n/9VhTwNescqKmr/qNqgg3u2Ws3qE8sUffjjCIOnL0Zr91dr+S35Wv5gB6/kofzIHqLBkf9mRa2+tBWlVqPwxPYc2ioivnJOX8YMu/R1yPX5HoaRc2bqYVC8KAdY/3NcJ8HG/FydeGWhuvi4HOU0buAmbnNed7GIh1hGg9k/4TtGOHKeOQfOO+f9+KozVWquYWI5H34Dow+4eQ==</latexit> <latexit sha1_base64="w4u0FedMA3S2XwxCDz6IIhf6Xeg=">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</latexit> <latexit sha1_base64="m9b9mk/7xf8GdgVxt0ZKxebOxbE=">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</latexit> <latexit sha1_base64="ZCVuEfz5NCXSjkYTZnIuoKxfg8s=">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</latexit>
12.
ちゃんと導出 12/55 <latexit sha1_base64="MRot3hrHfe8sc6oVufhYkbERfO4=">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</latexit> <latexit
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13.
等価な確率モデル 13/55 <latexit sha1_base64="a7Ry4LTTEAQcbjP59BX7g/pzyLI=">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</latexit> <latexit
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14.
等価な確率モデル 14/55 <latexit sha1_base64="YNgN/W/tc0+Hms6AQN5DhQ2SoLk=">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</latexit> <latexit
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15.
計算コスト削減 15/55 Ø 共分散⾏列
は ⾏列.<latexit sha1_base64="Mbn88sPr8RlsQgigxWvLl9Ni3Wo=">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</latexit> <latexit 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sha1_base64="+2yrbHNok+INs0jQi0c9kBuU0p8=">AAACqXichVHLShxBFD124iM+x7gJuJEMIxMEqTGCIWQhZJONxNHMA8eJdLc12rFfdNdM0CY/kFV2wbhSyCLkM1yYH8jCT5AsDWSThadrGkRFvU1X3Tr3nvu0QteJlRCnPcaDh719/QOPBoeGR0bHcuOPq3HQjmxZsQM3iOqWGUvX8WVFOcqV9TCSpme5smbtvE7ttY6MYifw36ndUDY9c8t3Wo5tKkLVt8Wl98+fbeTyYlZombqplDIlj0yWg9wJ1rGJADba8CDhQ1F3YSLm10AJAiGxJhJiETVH2yU+YZDcNr0kPUyiOzy3+GpkqM93GjPWbJtZXP4RmVMoiN/ihzgXv8RPcSb+3xor0THSWnZ5W12uDDfGPj9Z/Xcvy+OtsH3JIqNwR9UKLbzQ1TqsPtRI2ofdjdDZ+3q++nKlkEyLI/GHHRyKU3HMHvzOX/t7Wa4c6IoizZH4qHv2dBU+p5zQFjPDJm0tYm3OQzFywkzb6KQT5QJL19d1U6nOzZaol+fzi6+yVQ5gEk9R5L4WsIg3WEaF2T/gC/bxzZgxykbdWOu6Gj0ZZwJXxLAvALCUmG4=</latexit> <latexit sha1_base64="4PfBlPWbJGUKFCnI35L4qS7WEug=">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</latexit>
16.
事後分布 16/55 <latexit sha1_base64="h5oqsM79pm8jltPqpmaL7Coeusk=">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</latexit> <latexit
sha1_base64="Uik84Oxba3j1Tmevt/UAfk8yoSk=">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</latexit> <latexit sha1_base64="rugDa+FJau+3iWU9feE+F2nTnXs=">AAACr3ichVHLThRBFD20oggoo25M3BAmQ1iRamOiMS5I3Ljk4TAkDI/u5g5TmX6lu2YQO/yAH6ALFz4SF8bPcKE/4IJPMCwxccOC0zWdECTi7XTVrXPvuU8/DXVulDocca5cHb12fezG+MTkzVtTtdt3VvOknwXSDJIwydZ8L5dQx9I02oSylmbiRX4oLb/3rLS3BpLlOolfmP1UNiJvN9YdHXiGULtt5KUp9rqSycFWra7mlZXpi4pbKXVUspjUvqONHSQI0EcEQQxDPYSHnN86XCikxDZQEMuoaWsXHGCc3D69hB4e0R7PXb7WKzTmu4yZW3bALCH/jMxpNNRP9UUdqx/qq/qlTv4Zq7Axylr2eftDrqRbU6/vrfz5LyvibdA9Y5HRuKRqgw4e22o1q08tUvYRDCMMXr09Xnmy3Chm1Sd1xA4+qkP1jT3Eg9/B5yVZfmcryixHsGd7jmwVMadc0JYzww5tHWJ9zsMwcsFMXQzKiXKB7t/ruqisPph3qS89rC88rVY5hvuYwRz39QgLeI5FNJk9xRu8xwfHdVrOprM9dHVGKs5dnBNHnwIFBZxg</latexit> 平均のみがデータに依存.
17.
12.2.1 最尤法による主成分分析 17/55
18.
対数尤度関数 18/55 <latexit sha1_base64="emjlTMnwVR5g5urfAYomK9V0/tk=">AAAEwnicpVG7bhNBFL1ZDITwiAMNEhQjokSORKxxhARCQoqUFFRRXo4tZRJrdz22h+yL3bXBbFzR8QMUVCBRRHTwCRTwAxT5BEQZJBoKzo4d2YmTUGQs79w599w55861AkdFMef7I8aFzMVLl0evjF29dv3GeHbi5kbkN0NbFm3f8cOyZUbSUZ4sxip2ZDkIpelajixZOwtpvtSSYaR8bz1uB3LLNeueqinbjAFVJoy7wpG1OC8sWVdeYjqq7slqhwnHYwHLMeGaccOqsYSVWYftsmlh+U41arvYAAq3Cfj+AK3UPUeq7ppsG8AcgBn2BFDTZRUAHg4FgGlyiR1KaRuDei+R6tJT3SGBk20clRWhqjfiGSYEm4boLBO10LS17CLSPRLkc4hEoOBzkDPIGHSwoB31mYU+8/Qez+hu9sRuDs1vawR1oYtoHZnOMS8pY1bLnUNGSK86MH6N5ivZSZ7nerHhoNALJqm3lv3sNxJUJZ9sapJLkjyKETtkUoTfJhWIUwBsixJgISKl85I6NIbaJlgSDBPoDr51nDZ7qIdzemekq22oOPiHqGQ0xX/wPX7Av/NP/Cf/e+pdib4j9dLGbnVrZVAZf3N77c9/q1zsMTX6VaiYOsN1TDV6pN0quA80kvZhd29ovXp7sPZ4dSqZ5h/4L3Twnu/zr+jBa/22P67I1XfaUahrJL3QPbvahYdXTpCLoFBFrgasifeIcXMCpQa10hfFAAvHxzUcbMzlC4hXHkzOL/VGOUp36B7lMK+HNE9PaZmKZBuvjT3js/Els5h5lnmeibpUY6RXc4uOrMzuP9bJQWY=</latexit> <latexit
sha1_base64="d1LhGbB+upGeiNK/Gq84c9S5e2k=">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</latexit> <latexit sha1_base64="wImvY99nCFUvEuFfAFQ3hy7de8U=">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</latexit> Ø データ集合: <latexit sha1_base64="GFw58d7uXzLXiX5dnS0VG6cFxjE=">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</latexit>
19.
μの最尤解 19/55 <latexit sha1_base64="fW4YcFtifdpJWKICqVsCfc/dbDs=">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</latexit> <latexit
sha1_base64="G3fI7RyhNrSq7xR/1+5oOc51d6g=">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</latexit> <latexit sha1_base64="V+cw73w3rB9hSwRPydv0yTeERaU=">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</latexit> <latexit sha1_base64="V5p2MXOQ39OCN56DUisRv+NeQlU=">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</latexit> <latexit sha1_base64="5C0S0hBarYbdZH6SCztShGi98xU=">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</latexit> を解いて, <latexit sha1_base64="rugDa+FJau+3iWU9feE+F2nTnXs=">AAACr3ichVHLThRBFD20oggoo25M3BAmQ1iRamOiMS5I3Ljk4TAkDI/u5g5TmX6lu2YQO/yAH6ALFz4SF8bPcKE/4IJPMCwxccOC0zWdECTi7XTVrXPvuU8/DXVulDocca5cHb12fezG+MTkzVtTtdt3VvOknwXSDJIwydZ8L5dQx9I02oSylmbiRX4oLb/3rLS3BpLlOolfmP1UNiJvN9YdHXiGULtt5KUp9rqSycFWra7mlZXpi4pbKXVUspjUvqONHSQI0EcEQQxDPYSHnN86XCikxDZQEMuoaWsXHGCc3D69hB4e0R7PXb7WKzTmu4yZW3bALCH/jMxpNNRP9UUdqx/qq/qlTv4Zq7Axylr2eftDrqRbU6/vrfz5LyvibdA9Y5HRuKRqgw4e22o1q08tUvYRDCMMXr09Xnmy3Chm1Sd1xA4+qkP1jT3Eg9/B5yVZfmcryixHsGd7jmwVMadc0JYzww5tHWJ9zsMwcsFMXQzKiXKB7t/ruqisPph3qS89rC88rVY5hvuYwRz39QgLeI5FNJk9xRu8xwfHdVrOprM9dHVGKs5dnBNHnwIFBZxg</latexit> <latexit sha1_base64="rugDa+FJau+3iWU9feE+F2nTnXs=">AAACr3ichVHLThRBFD20oggoo25M3BAmQ1iRamOiMS5I3Ljk4TAkDI/u5g5TmX6lu2YQO/yAH6ALFz4SF8bPcKE/4IJPMCwxccOC0zWdECTi7XTVrXPvuU8/DXVulDocca5cHb12fezG+MTkzVtTtdt3VvOknwXSDJIwydZ8L5dQx9I02oSylmbiRX4oLb/3rLS3BpLlOolfmP1UNiJvN9YdHXiGULtt5KUp9rqSycFWra7mlZXpi4pbKXVUspjUvqONHSQI0EcEQQxDPYSHnN86XCikxDZQEMuoaWsXHGCc3D69hB4e0R7PXb7WKzTmu4yZW3bALCH/jMxpNNRP9UUdqx/qq/qlTv4Zq7Axylr2eftDrqRbU6/vrfz5LyvibdA9Y5HRuKRqgw4e22o1q08tUvYRDCMMXr09Xnmy3Chm1Sd1xA4+qkP1jT3Eg9/B5yVZfmcryixHsGd7jmwVMadc0JYzww5tHWJ9zsMwcsFMXQzKiXKB7t/ruqisPph3qS89rC88rVY5hvuYwRz39QgLeI5FNJk9xRu8xwfHdVrOprM9dHVGKs5dnBNHnwIFBZxg</latexit> 代⼊.
20.
Wの最尤解 20/55 <latexit sha1_base64="U11yHwER4CDj/Im3ZEd8Jk/qwt0=">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</latexit> <latexit
sha1_base64="+C/2ebsG45OwnGwHEpBK5OMFAhE=">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</latexit> : 任意の 直交⾏列 <latexit sha1_base64="851+Qcn6kYhtd/oAOIztXyjJhOw=">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</latexit> Ø 閉形式の厳密解が存在. : は に対応する固有ベクトル 直交⾏列 <latexit sha1_base64="0N/HPK2mnBnKZqWXONl2KRZ9np8=">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</latexit> <latexit sha1_base64="hTNyGH/NeQp5EW6QLKKRBWl6VqM=">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</latexit> <latexit sha1_base64="CtFz/yUxLf2MMnL1Eb1r9Lbj6uQ=">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</latexit> <latexit sha1_base64="U9tQWeaD+KNuE5loUR/E7YU3bps=">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</latexit> <latexit sha1_base64="4fLMZazGc/nP53hvFYotKwU/wHc=">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</latexit> : ⾏列 の固有値<latexit sha1_base64="8PjQa4q4xm4cp14LRUKxgfGxG6k=">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</latexit> <latexit sha1_base64="tJb5x3bDsAoeeovUqfectExk1Os=">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</latexit> : 対⾓⾏列<latexit sha1_base64="U9tQWeaD+KNuE5loUR/E7YU3bps=">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</latexit>
21.
主部分空間 21/55 Ø の列ベクトルは通常のPCAの主部分空間を成す.<latexit
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22.
Ø の場合: 尺度因⼦ 22/55 <latexit
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sha1_base64="3y0TtvPJb5lSiduPRfzTWTKbvp0=">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</latexit> Ø 列ベクトルは主成分 を で尺度変換したもの.<latexit sha1_base64="BQLWZdSlq6Z9UUWIRtpK+3+spEQ=">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</latexit> <latexit sha1_base64="hTNyGH/NeQp5EW6QLKKRBWl6VqM=">AAACr3ichVHLThRBFD00iAgKo25M2BAnY1yRakICMS5I3LjkNQwJA0N3U8NU6Fe6q8dghx/gA3TBAiVhYfwMF/IDLPgE4hISNiw4XdMJAaLeTlfdOvee+3RjX6VaiLM+q3/g0eDjoSfDI0+fjY5Vnr9YSaMs8WTdi/woWXWdVPoqlHWttC9X40Q6gevLhrvzobA3ujJJVRQu691YrgfOdqjaynM0oWYzcHTHbefZXku1KlUxKYxMPFTsUqmilPmo8htNbCGChwwBJEJo6j4cpPzWYEMgJraOnFhCTRm7xB6Gyc3oJenhEN3huc3XWomGfBcxU8P2mMXnn5A5gZo4FT/EhTgRP8W5uP5rrNzEKGrZ5e32uDJuje2/Wrr6LyvgrdG5ZZFR+0fVGm3MmmoVq48NUvTh9SJ0P3+9WHq3WMvfiCPxhx18F2fiF3sIu5fe8YJcPDAVJYYj8cn0HJgqQk45py1lhi3a2sQyzkMzcs5MHXSLiXKB9v11PVRWpiZt6gvT1bn35SqHMI7XeMt9zWAOHzGPOrPH+IJDfLNsq2FtWJs9V6uv5LzEHbHUDZV5nC8=</latexit> <latexit sha1_base64="n8xm1F3TMd9jr+jeMt8+ccs7U5M=">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</latexit> <latexit sha1_base64="RG3ZDhwN5iId6/PehLlRY0cN1C8=">AAACq3ichVG7ThtBFD0sSSDOA0MaJBorlqM0QWOEBEIpkNKkBIwfAhO0u4zNiH1pd2xEVvkBShoKaIiUIuIzKOAHUvAJiJJINBScHa8UJSjJXe3MnXPvuU8n8lSihbgcsoYfPX4yMvq08Oz5i5djxfGJRhL2YlfW3dAL45ZjJ9JTgaxrpT3ZimJp+44nm87Oh8ze7Ms4UWGwqvciueHb3UB1lGtrQq12orq+/Wlms1gW08JI6aFSzZUyclkKi+doYwshXPTgQyKApu7BRsJvHVUIRMQ2kBKLqSljl/iCArk9ekl62ER3eHb5Ws/RgO8sZmLYLrN4/GMyS6iIH+K7uBEX4lRcibu/xkpNjKyWPd7OgCujzbH9ydrtf1k+b43tXywyKv+oWqODeVOtYvWRQbI+3EGE/ufDm9rCSiV9I76Ka3ZwIi7FGXsI+j/db8ty5chUFBuOxK7p2TdVBJxySlvCDFu0dYj1OA/NyCkzbaOfTZQLrP65rodKY2a6Sn15trz4Pl/lKKbwGm+5rzks4iOWUDd7OsARjq13Vs1as9oDV2so57zCb2LJe2ErmgE=</latexit> <latexit sha1_base64="RG3ZDhwN5iId6/PehLlRY0cN1C8=">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</latexit> <latexit sha1_base64="l8SI7GofiacwH8k4RvGMavNM/ks=">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</latexit> <latexit sha1_base64="UI6du/bVguqSUghw8BiWH58hZJw=">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</latexit> <latexit sha1_base64="oBfOFL4SOk3/hxcuGD9YY9Xd/UQ=">AAAC0HichVE9TxRBGH5YUBBFDm1MbDZezpgQyRwhgRBJSGws4fCAhMPL7t7cMWG/sjt3fGyIsaWzsrDSxILwA2g1FvoHLPgJxhITGwufndtIhKiz2Zlnnvd93o953dhXqRbidMAaHLpydXjk2uj1G2M3x0sTt1bTqJt4su5FfpSsu04qfRXKulbal+txIp3A9eWau/04t6/1ZJKqKHyq92K5GTidULWV52hSzdJkw6dzy2kqe8E+xw/tRqo6gfNs2p78DZulspgSZtmXQbUAZRRrKSp9QgMtRPDQRQCJEJrYh4OU3waqEIjJbSIjlxApY5c4wCi1XXpJejhkt7l3eNso2JD3PGZq1B6z+PwTKm1UxBdxJM7EZ3Esvoqff42VmRh5LXs83b5Wxs3xwzsrP/6rCnhqbJ2rqKj8o2qNNuZMtYrVx4bJ+/D6EXr7r85W5muV7L54K76xgzfiVHxkD2Hvu/duWdZem4oSo5HYMT0HpoqQr5zRljJDi7Y2uS7fQzNyxkxb6OUvygFWL47rMlidnqoSL8+UFx8VoxzBXdzDA85rFot4giXUmf0lTvAeH6yatWs9t170Xa2BQnMbfyzr8BfYnKbs</latexit> <latexit sha1_base64="uau5X15QfExPJElIR/Ls6pX7/Vg=">AAAC7HichVFNa9RAGH4av2r96KoXwUtxWREKZbYIiigUPOhBoR9ut9AtS5Kd7Q5NJiGZrG5D/oBnwUPxoKAg4q/woHfxUNAfIB4rePHgk9kU0aJOyMwzz/s+78e8Xhyo1AixO+EcOnzk6LHJ41MnTp46PV07c3Y1jbLEly0/CqJkzXNTGSgtW0aZQK7FiXRDL5Btb+tWaW8PZZKqSN83o1huhO6mVn3lu4ZUt3a7E7pm4PXzh8XNfdguurnFSZjfu1sU+/x2MdvxoqCXjkIedMlmOzJOVRDpolurizlh18xB0KxAHdVajGrv0EEPEXxkCCGhYYgDuEj5raMJgZjcBnJyCZGydokCU9Rm9JL0cMlucd/kbb1iNe9lzNSqfWYJ+CdUzqAhPopXYk+8F6/FF/Hjr7FyG6OsZcTTG2tl3J1+dH7l+39VIU+DwS8VFY1/VG3QxzVbrWL1sWXKPvxxhOH2k72V68uN/JJ4Lr6yg2diV7xlD3r4zX+xJJd3bEWJ1Ug8sD2HtgrNV85pS5mhR1ufXMb3MIycM9MAw/JFOcDmn+M6CFbn55rES1fqCzeqUU7iAi7iMud1FQu4g0W0mP0NPuATPjvaeezsOE/Hrs5EpTmH35bz8if+ULbF</latexit> 後述
23.
σの最尤解 23/55 <latexit sha1_base64="VzKqDCn6m6BHNUaVzBICx6QraCk=">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</latexit> Ø
切り捨てられた次元に関する分散の平均. <latexit sha1_base64="wHOwjMiQ2v4dT/iYJHYxLPaxEzc=">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</latexit> <latexit sha1_base64="Lp+as0HE2R7hb1axJtMwPZ2iJb4=">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</latexit> 捨てられた 軸⽅向の分散.
24.
回転不変性 24/55 <latexit sha1_base64="wImvY99nCFUvEuFfAFQ3hy7de8U=">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</latexit> <latexit
sha1_base64="d1LhGbB+upGeiNK/Gq84c9S5e2k=">AAADA3ichVHLahRBFD1pXzE+MupGcFM4jAhCqAkBRRAC2ehG8ppMIJMM3Z2amSL9ortmJDazdOMPuHCl4EKyE7euFPQHXOQT1OUE3LjwdE1DGINaTVede26d+6jrJYHOjJSHU86p02fOnps+P3Ph4qXLs5UrVzeyuJ/6quHHQZxuem6mAh2phtEmUJtJqtzQC1TT21sq/M2BSjMdR+tmP1HboduNdEf7riHVruy0Qtf0vI7IxZIYigfi2G7SnrR2eFomDYnWyQzFHdHKdDd0rXN+QvJIDNuVqpyTdomToF6CKsq1HFc+o4VdxPDRRwiFCIY4gIuM3xbqkEjIbSMnlxJp61cYYobaPm8p3nDJ7nHv0toq2Yh2ETOzap9ZAv4plQI1+VW+lSP5RR7Ib/LXX2PlNkZRyz5Pb6xVSXv2+fW1n/9VhTwNescqKmr/qNqgg3u2Ws3qE8sUffjjCIOnL0Zr91dr+S35Wv5gB6/kofzIHqLBkf9mRa2+tBWlVqPwxPYc2ioivnJOX8YMu/R1yPX5HoaRc2bqYVC8KAdY/3NcJ8HG/FydeGWhuvi4HOU0buAmbnNed7GIh1hGg9k/4TtGOHKeOQfOO+f9+KozVWquYWI5H34Dow+4eQ==</latexit> <latexit sha1_base64="tTeQlPYDMIta4nPF+updk+TBMa8=">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</latexit> Ø 予測分布: であるから, Ø 潜在変数空間の回転に対し予測分布は影響を受けない. Ø 同⼀の予測分布を与える の族が存在する.<latexit sha1_base64="j2SqBLozECdtj/VfaqTiPVFjIjw=">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</latexit> <latexit sha1_base64="X2WTuDrHKYTT+ogHb9km5PDPGNA=">AAADFHichVFNa9RAGH43tlpbtateBC/FZaUebCeLYCkVCl4UWmi3brfQtCFJJ7tD88VkdksN+QP+AD14UvAg/gVvRfTkrYf+hOKxggc9+GQ2q9SiTsjMM8/7Pu/HvG4SiFQxdlQxzo2Mnr8wdnF84tLlK5PVq9fW07gnPd7y4iCWG66T8kBEvKWECvhGIrkTugFvu7sPC3u7z2Uq4uiJ2k/4Vuh0IuELz1Gg7GpshY7qun7Wzu1MYxlmy0t5/mBoaOX2shVwX00PmSUwd61UdEJnu3FaNXR5nFtSdLrqznZmzjZ+0c3crtbYDNNr6iwwS1Cjcq3E1Y9k0Q7F5FGPQuIUkQIOyKEU3yaZxCgBt0UZOAkktJ1TTuPQ9uDF4eGA3cXewW2zZCPci5ipVnvIEuCXUE5RnR2yt+yEfWLv2DH78ddYmY5R1LKP0x1oeWJPPrux9u2/qhCnou5vFRT1f1StyKc5Xa1A9Ylmij68QYT+0xcna/PNenabvWZf0MErdsQO0EPU/+q9WeXNl7oiqTWc9nTPoa4iwitnsKXIsAObD66H91CInCFTl/rFi2KA5p/jOgvWGzMm8Oq92uJCOcoxukm3aBrzuk+L9IhWqIXsh/S9MlIZNZ4b740D48PA1aiUmut0ahmffwKV6cTB</latexit> <latexit sha1_base64="J5iFJMM8qGVu4fJj5jldjBf64GQ=">AAADQnichVHLahRBFL3d8RHjI5O4EdwEh5FkYaiZCBGJEHCjkEBekwmkk6a7Uz1TpF9U14zEpn/AH3AhLhRciJ+hoD/gIp+grsIE3GTh6ZqOGmO0mu4+de49p+6t6yaBSBVj+4Y5dO78hYvDl0YuX7l6bbQyNr6exl3p8aYXB7HccJ2UByLiTSVUwDcSyZ3QDXjL3X1YxFs9LlMRR2tqL+FbodOOhC88R4GyKy+t0FEd189auZ1pLMNscSHPz+K3f+7W8vzBcVYztxetgPtq8phZAHPHSkU7dLYbf7d+nFtStDtq6neXE/52pcqmmV4Tp0G9BFUq11Jc+UgW7VBMHnUpJE4RKeCAHErxbFKdGCXgtigDJ4GEjnPKaQTaLrI4Mhywu/i2sdss2Qj7wjPVag+nBHgllBNUY5/ZW9Znn9g79oUdnemVaY+ilj383YGWJ/bosxur3/+rCvFX1PmlgqL2j6oV+XRPVytQfaKZog9v4NB7+ry/en+llt1mr9k3dPCK7bP36CHqHXpvlvnKC12R1BpOT3TPoa4iwi1niKU4YQcxH1wX96HgnOGkDvWKG8UA63+O6zRYb0zXgZfvVufnylEO0026RZOY1yzN0yNaoiZ5xpAxZTSMGfOD+dU8MPuDVNMoNdfpxDKPfgCPl9hO</latexit>
25.
回転不変性 25/55 Ø 統計学的な識別不可能性.
識別不能(しきべつふのう)とは、⼆つの確率変数 を⾒分けることができないことを意味する。 ※wikiØ 離散潜在変数の混合モデル. <latexit sha1_base64="IlefjzFL7o/5gJ5ApcyjPghp+Po=">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</latexit> Ø K個の混合要素に対してK!個の同等なモデルが存在. Ø PPCA. <latexit sha1_base64="1bZzTABhcJVZetyEEHYZ2pS7S6k=">AAACw3ichVFNSxtBGH5cbav2w1QvQqFIQ0pPMhHBUloQpNCjxsYIRsLuZmKG7Be7kxS77M2Tf6CHnlrwoB7bf9BD/QM9+BNKjwpeeuizk6VFpe0sO/PM887zfjqRpxItxOmINTp24+at8YnJ23fu3psq3Z/eSMJ+7Mq6G3phvOnYifRUIOtaaU9uRrG0fceTDae3ktsbAxknKgxe691Ibvv2TqA6yrU1qVbpYVMrry3Tpm/rrtNJG1n24jeuZa1SWcwLs+aug2oByijWalj6iibaCOGiDx8SATSxBxsJvy1UIRCR20ZKLiZSxi6RYZLaPl9JvrDJ9rjv8LZVsAHvuc/EqF1G8fjHVM6hIr6JQ3EmTsSx+C5+/tVXanzkuezydIZaGbWm9mfXL/6r8nlqdP+oqKj8I2uNDp6abBWzjwyT1+EOPQzevjtbf1arpI/FR/GDFXwQp+ILawgG5+7Bmqy9NxnFRiPxxtTsmywCdjmlLWGENm0dcn32Q9NzykhdDPKOcoDVq+O6DjYW5qvEa4vl5efFKMfxAI/whPNawjJeYRV1Rt/DET7hs/XS6lmxpYdPrZFCM4NLy8p+AYhipEA=</latexit> <latexit sha1_base64="K9SbArVKdnkwyquj0ZA8ixRB65A=">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</latexit> Ø 任意の回転⾏列が同等の予測分布を与える.
26.
共分散⾏列の構造 26/55 Ø ある単位ベクトル
に沿った予測分布の分散.<latexit sha1_base64="zJOAcjELvIQILXPKJBhOLqdM0GE=">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</latexit> Ø が主部分空間に直交すると仮定.<latexit sha1_base64="zJOAcjELvIQILXPKJBhOLqdM0GE=">AAACrXichVHLShxBFD22GkdN4iRuBDfiMCErUyOCErIYcOPSR0ZFx0h3WzPTTL/orulgGn8g64ALUVBwIX5GFskPuPATQpYKblx4uqZBomhu01W3zr3nPq3QdWIlxGWP0dvX/2KgMDg0/PLV65Him7ercdCJbFmzAzeI1i0zlq7jy5pylCvXw0ianuXKNas9n9nXEhnFTuB/Vruh3PLMpu80HNtUhDbqnqlaViNN9raLJTEltEw8Viq5UkIui0HxF+rYQQAbHXiQ8KGouzAR89tEBQIhsS2kxCJqjrZL7GGI3A69JD1Mom2eTb42c9TnO4sZa7bNLC7/iMwJlMWFOBNX4rc4F3/E7ZOxUh0jq2WXt9XlynB75PvYys1/WR5vhdY9i4zyM1UrNDCnq3VYfaiRrA+7GyH5tn+18nG5nL4TJ+IvOzgWl+Ine/CTa/t0SS4f6IoizZH4qnv2dBU+p5zSFjPDDm0NYh3OQzFyykwtJNlEucDKw3U9VlanpyrUl2ZK1U/5KgsYxyTec1+zqGIBi6gxu48fOMSR8cGoGXXjS9fV6Mk5o/hHjOYdgWGbVA==</latexit> <latexit sha1_base64="k7JLFnTiuqUZwbWh6tKCDrxJbaQ=">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</latexit> <latexit sha1_base64="GoX95qyxzOLehjqO5UNmZk9AX0s=">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</latexit> <latexit sha1_base64="bOgMCAV1jDK/b4I0Z+6w0NFE/gc=">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</latexit> <latexit sha1_base64="zJOAcjELvIQILXPKJBhOLqdM0GE=">AAACrXichVHLShxBFD22GkdN4iRuBDfiMCErUyOCErIYcOPSR0ZFx0h3WzPTTL/orulgGn8g64ALUVBwIX5GFskPuPATQpYKblx4uqZBomhu01W3zr3nPq3QdWIlxGWP0dvX/2KgMDg0/PLV65Him7ercdCJbFmzAzeI1i0zlq7jy5pylCvXw0ianuXKNas9n9nXEhnFTuB/Vruh3PLMpu80HNtUhDbqnqlaViNN9raLJTEltEw8Viq5UkIui0HxF+rYQQAbHXiQ8KGouzAR89tEBQIhsS2kxCJqjrZL7GGI3A69JD1Mom2eTb42c9TnO4sZa7bNLC7/iMwJlMWFOBNX4rc4F3/E7ZOxUh0jq2WXt9XlynB75PvYys1/WR5vhdY9i4zyM1UrNDCnq3VYfaiRrA+7GyH5tn+18nG5nL4TJ+IvOzgWl+Ine/CTa/t0SS4f6IoizZH4qnv2dBU+p5zSFjPDDm0NYh3OQzFyykwtJNlEucDKw3U9VlanpyrUl2ZK1U/5KgsYxyTec1+zqGIBi6gxu48fOMSR8cGoGXXjS9fV6Mk5o/hHjOYdgWGbVA==</latexit>
27.
共分散⾏列の構造 27/55 Ø が主部分空間を構成すると仮定.<latexit
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28.
単位ベクトル⽅向の分散の解釈 28/55 11/8/18 追記 <latexit
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sha1_base64="/oAGIToNXs8TweQudccP1YyWTYA=">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</latexit> <latexit sha1_base64="pHYBTBjdOimUQr0Lunc9RQf+3Sg=">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</latexit> <latexit sha1_base64="YGfuykI4+NZd0cwLo8/i+2jtA0s=">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</latexit> <latexit sha1_base64="zJOAcjELvIQILXPKJBhOLqdM0GE=">AAACrXichVHLShxBFD22GkdN4iRuBDfiMCErUyOCErIYcOPSR0ZFx0h3WzPTTL/orulgGn8g64ALUVBwIX5GFskPuPATQpYKblx4uqZBomhu01W3zr3nPq3QdWIlxGWP0dvX/2KgMDg0/PLV65Him7ercdCJbFmzAzeI1i0zlq7jy5pylCvXw0ianuXKNas9n9nXEhnFTuB/Vruh3PLMpu80HNtUhDbqnqlaViNN9raLJTEltEw8Viq5UkIui0HxF+rYQQAbHXiQ8KGouzAR89tEBQIhsS2kxCJqjrZL7GGI3A69JD1Mom2eTb42c9TnO4sZa7bNLC7/iMwJlMWFOBNX4rc4F3/E7ZOxUh0jq2WXt9XlynB75PvYys1/WR5vhdY9i4zyM1UrNDCnq3VYfaiRrA+7GyH5tn+18nG5nL4TJ+IvOzgWl+Ine/CTa/t0SS4f6IoizZH4qnv2dBU+p5zSFjPDDm0NYh3OQzFyykwtJNlEucDKw3U9VlanpyrUl2ZK1U/5KgsYxyTec1+zqGIBi6gxu48fOMSR8cGoGXXjS9fV6Mk5o/hHjOYdgWGbVA==</latexit> Ø 単位ベクトル ⽅向の予測分布の分散を新しい変数 の 従う分布における分散だと解釈すれば…, <latexit sha1_base64="LZ1H3NMvASl5oST6PCNbsIEU3V8=">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</latexit> <latexit sha1_base64="j9HyOQ9/1SNWv/wg++R5W7hHbF8=">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</latexit> Ø ガウス分布の再⽣性から, <latexit sha1_base64="YBDk9jEXOvD3BTfn6yNl3l5WmpY=">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</latexit> <latexit sha1_base64="V34dQgPzH/M7o2UIoIKCUHnOzdI=">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</latexit> <latexit sha1_base64="ufLGRwLRxsovDeXw0Ju2nxGOrys=">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</latexit> <latexit sha1_base64="04rEBQG+g/mXoEpGy5BJGaO9PPg=">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</latexit> <latexit sha1_base64="IklKXcr+3x3tt74wIrhw0Hi44zQ=">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</latexit> <latexit sha1_base64="22vnsmwx98nN7RpQzkxg0jmt6Ps=">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</latexit>
29.
次元削減しない場合 29/55 Ø の場合,<latexit
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