Sparse Approximation of Gram Matrices for GMMN-based Speech Synthesis(INTERSPEECH2019 読み会)

74927b1ad1e14d4694190389f7cccd28?s=47 Hitoshi Suda
November 24, 2019

Sparse Approximation of Gram Matrices for GMMN-based Speech Synthesis(INTERSPEECH2019 読み会)

74927b1ad1e14d4694190389f7cccd28?s=128

Hitoshi Suda

November 24, 2019
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  1. 1.

    Sparse Approximation of Gram Matrices for GMMN-based Speech Synthesis ਢాਔࢤʢ౦େᜊ౻ݚ%ʣ

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  6. 9.

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  7. 10.

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  8. 11.

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    QQ  E Y ⇠P [f(Y ; x)] = ⌦ f, µY |x ↵ F = ⌦ f, CY |X (x) ↵ F = ⌦ f ⌦ (x), CY |X ↵ F⌦G <latexit sha1_base64="/zHxcncUvRRzalUuL87qjdjV+E0=">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</latexit> G ! F <latexit sha1_base64="qi6N7Y7hmvRCYLdoQlbE34xZGtc=">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</latexit> CMMD2 = CY |X C˜ Y | ˜ X 2 F⌦G <latexit sha1_base64="RozHLk0vvfUCMoHvagCFVQfgWN4=">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</latexit>
  9. 12.

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sha1_base64="OmyiQLbPdb3IeofnxncRNcIxlgg=">AAAB8nicZZC7TgJBFIbP4g3xhlraGGkw2RCWi2Al0cYSE7kk7IbMDMMyMrO72ZklkA3PYG9sjLHzLSxttfBB7F0WGuRvzpf5Z86c/2CPM6ny+R8tsba+sbmV3E7t7O7tH6QPj5rSDXxCG8Tlrt/GSFLOHNpQTHHa9nyKBOa0hYc3M781or5krnOvJh61BLId1mcEqeiom74y4x4d38ZWmM/ly6VioaxHUCkVCtUZXJQvK9VpyvQGzOS0r7ImFuFkavrMHqjzbjoT3Yl1ugrGAjKwUL2bfjZ7LgkEdRThSMpO4HGk6NgKHyTyFSOcRp8FknqIDJFNO4HqV62QOV6gqEOWvd6IedJBgkpdjuw5jA0jBiscx9GWXoRISIHUQI+qnAisY6GLWao4zTQVxTH+D78KzULOKObKd6VM7Ro/mtnfD0jCCZxBFgyoQA1uoQ4NIPAGn/AF35rSnrQX7XW+g4S2WMYxLEl7/wNb25HS</latexit> (x) <latexit sha1_base64="hPujv+po4C40Zfiq8yGB+QTdmqs=">AAAB8nicZZC7TgJBFIbP4g3xhlraGGkw2RCWi2Al0cYSE7kk7IbMDMMyMrO72ZklkA3PYG9sjLHzLSxttfBB7F0WGuRvzpf5Z86c/2CPM6ny+R8tsba+sbmV3E7t7O7tH6QPj5rSDXxCG8Tlrt/GSFLOHNpQTHHa9nyKBOa0hYc3M781or5krnOvJh61BLId1mcEqeiom74y4x4d38ZWmM/ly6VioaxHUCkVCtUZXJQvK9VpyvQkMzntq6yJRTiemj6zB+q8m85Ed2KdroKxgAwsVO+mn82eSwJBHUU4krITeBwpOrbCB4l8xQin0WeBpB4iQ2TTTqD6VStkjhco6pBlrzdinnSQoFKXI3sOY8OIwQrHcbSlFyESUiA10KMqJwLrWOhilipOM01FcYz/w69Cs5AzirnyXSlTu8aPZvb3A5JwAmeQBQMqUINbqEMDCLzBJ3zBt6a0J+1Fe53vIKEtlnEMS9Le/wBpu5Hc</latexit> 12 ํ޲ y <latexit sha1_base64="YzhhfzJFrE0hBOIrIALy2w1Rk5I=">AAAB4XicZZDLTsJAFIZP8YZ4Q126MbJh0TQUqOCO6MYlJnJJaENmhqGMzLRNZ0ogDQ/gSmPc6ZO4xZfwQdxbLhvk35wv/8n5c87BAWdSFQo/Wmpre2d3L72fOTg8Oj7Jnp41pR+FhDaIz/2wjZGknHm0oZjitB2EFAnMaQsP7+b91oiGkvneo5oE1BHI9VifEaQSq5s17EVGJ3SxExeMglUuFS09gUq5WKzO4dq6qVSnGRuLeDLtZnOJtdDlJpgryMFK9W720+75JBLUU4QjKTtRwJGiYyd+kihUjHCaZEeSBogMkUs7kepXnZh5QaSoR9Z7vRELpIcElbocuUsYm+YCnHi8uGRtIkZCCqQGelLlRGAdC11w2lchcwdqmknOMf8vvwnNomGWDOuhnKvd4hc7/zuDNFzAFeTBhArU4B7q0AAC7/AFM/jWiPasvWpvyx+ktNUzzmFN2scfbBuKuQ==</latexit> ํ޲ x <latexit sha1_base64="eiKd+scTQbKqG+w6WfzXTHcZlrU=">AAAB4XicZZDLTsJAFIZP8YZ4Q126MbJh0RAKVHBHdOMSE7kktCEzw1BGZtqmMyUlDQ/gSmPc6ZO4xZfwQdxbLhvk35wv/8n5c87BPmdSFYs/Wmpre2d3L72fOTg8Oj7Jnp61pBcGhDaJx72gg5GknLm0qZjitOMHFAnMaRuP7ub99pgGknnuo5r41BbIcdmAEaQSq5ctWIuMbuBgOy4WimalXDL1BKqVUqk2h2vzplqbZiws4mjay+YSa6HLTTBWkIOVGr3sp9X3SCioqwhHUnZDnyNFIzt+kihQjHCaZIeS+oiMkEO7oRrU7Ji5fqioS9Z7/THzpYsElbocO0uIDGMBdhwtLlmbiJGQAqmhnlQ5EVjHQhecDlTAnKGaZpJzjP/Lb0KrVDDKBfOhkqvf4hcr/zuDNFzAFeTBgCrU4R4a0AQC7/AFM/jWiPasvWpvyx+ktNUzzmFN2scfasyKuA==</latexit> ʹ CY |X = ( > + I) 1 > <latexit sha1_base64="qVtQkNmkmlJO3KbaXbhM2S4833I=">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</latexit> ਖ਼ଇԽ (x) <latexit sha1_base64="hPujv+po4C40Zfiq8yGB+QTdmqs=">AAAB8nicZZC7TgJBFIbP4g3xhlraGGkw2RCWi2Al0cYSE7kk7IbMDMMyMrO72ZklkA3PYG9sjLHzLSxttfBB7F0WGuRvzpf5Z86c/2CPM6ny+R8tsba+sbmV3E7t7O7tH6QPj5rSDXxCG8Tlrt/GSFLOHNpQTHHa9nyKBOa0hYc3M781or5krnOvJh61BLId1mcEqeiom74y4x4d38ZWmM/ly6VioaxHUCkVCtUZXJQvK9VpyvQkMzntq6yJRTiemj6zB+q8m85Ed2KdroKxgAwsVO+mn82eSwJBHUU4krITeBwpOrbCB4l8xQin0WeBpB4iQ2TTTqD6VStkjhco6pBlrzdinnSQoFKXI3sOY8OIwQrHcbSlFyESUiA10KMqJwLrWOhilipOM01FcYz/w69Cs5AzirnyXSlTu8aPZvb3A5JwAmeQBQMqUINbqEMDCLzBJ3zBt6a0J+1Fe53vIKEtlnEMS9Le/wBpu5Hc</latexit> µY |x <latexit sha1_base64="WlGwAfIpj6zuHZUJ2knL104dFO8=">AAAB6XicZZDLTsJAFIZPvSLeUJdujGxYNIQCBdwR3bjERC6GNmRmGMrITNt0pgRSeQbjzhh2voku9QV8EPeWywb5N+fL+XOu2OdMqlzuR9vY3Nre2U3sJfcPDo+OUyenDemFAaF14nEvaGEkKWcurSumOG35AUUCc9rEg5uZ3xzSQDLPvVdjn9oCOS7rMYJUnOqkSta8RztwsB3lsjmzWMibegzlYj5fmUHJvCpXJkkLi8gS4aQTPTyNJp1UOrbmulgHYwlpWKrWSU2trkdCQV1FOJKyHfocKTqyo0eJAsUIp/GMUFIfkQFyaDtUvYodMdcPFXXJqtcdMl+6SFCpy6GzgJFhzMGORvOLVioiJKRAqq/HUY4F1rHQBac9FTCnrybJ+Bzj//Lr0MhnjULWvCumq9f42cr8fkICzuESMmBAGapwCzWoA4EpfMAXfGsD7UV71d4WP9jQls84gxVp7399GY5y</latexit> CY |X <latexit sha1_base64="cGkVPvNagYfXSM5ms7MtZS9I0Ig=">AAAB8HicZZA7T8JQFMdP8YX4Qh1djCwMDaFABQcTIosjJvIwtGluL5dy5d626b1FSOUzuDqYGOPm13By1ckP4m55LOh/Ob+cxz/nHNtnVMh8/ltJrKyurW8kN1Nb2zu7e+n9g6bwwgCTBvaYF7RtJAijLmlIKhlp+wFB3GakZQ9q03prSAJBPfdajn1icuS4tEcxknHKSp8bM49O4NhmlM/l9VKxoKsxlEuFQmUKp/pZuTJJzfuiuz6VZJKqWdHNfXtipTNxx0zH/0FbQAYWqlvpJ6Pr4ZATV2KGhOiEPkOSjMzoVqBAUsxicyMUxEd4gBzSCWWvYkbU9UNJXLxc6w6pL1zEiVDF0JnDSNNmYEaj2cJLExHigiPZV+MoxtxWba5yRnoyoE5fTlLxOdrf5f9Ds5DTijn9qpSpXtgPRvbnHZJwBCeQBQ3KUIVLqEMDMLzCB3zClxIoj8qz8jL/QUJZPOMQlqS8/QIUsJEY</latexit>
  10. 13.

    $..%ͷܭࢉ w ͱ͢Δ  w ͨͩ͠ X = ˜ X

    <latexit sha1_base64="UnxfbK3vF3Y5YBPp9+HtSZ0ec3I=">AAAB6HicZZDPTsJAEMan/hf/oR69ELl4aAhFKngwMXrxiIlIE9qQ7TLUld226W4JpOEZ9GaMnnwT402fwAfxbqlckO8yv8yXmcw3bsiZVOXyt7awuLS8srq2ntvY3Nreye/u3cogjig2acCDyHKJRM58bCqmOFphhES4HFtu/3LitwYYSRb4N2oUoiOI57Meo0SlrU7etLMd7chznaRcKpvV44qpp1CrVir1CZyYp7X6OGcVzgq2YryLiTXu5Iupk6kwD8YUijBVo5N/tbsBjQX6inIiZTsOOVE4dJJ7SSLFKMdxzo4lhoT2iYftWPXqTsL8MFbo01mvO2Ch9IlAqcuB9wdDw8jASYZZoJmJhAgpiLrT0ypHwtVdoQuOPRUx706Nc2kc4//x83BbKRnHJfO6Wjy/cB/so58PWIMDOIQjMKAG53AFDWgChRd4h0/40u61R+1Je/77wYI2fcY+zEh7+wVcYIz2</latexit> 13 CMMD2 = CY |X C˜ Y | ˜ X 2 F⌦G = ( > + I) 1 > ˜ ( ˜ > ˜ + I) 1 ˜ > 2 F⌦G <latexit sha1_base64="+ETlIaAdS/ReuWr9EwNFZpa9Oug=">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</latexit> ͨͩ͠A? = (A + I) 1 <latexit sha1_base64="5Jsek6xTi7MPQyCduNqSUWyNUtA=">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</latexit> = Tr (KXX K? XX KY Y K? XX ) + Tr K ˜ X ˜ X K? ˜ X ˜ X K˜ Y ˜ Y K? ˜ X ˜ X 2Tr K ˜ XX K? XX K Y ˜ Y K? ˜ X ˜ X <latexit sha1_base64="/Pl9fdBu0nurhKdMkOMinQNvVAw=">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</latexit> ৚݅෇͚ʹΑΔ߲ ʢ..%Ͱ͸ߦྻʣ ࿦จதͰ͸ ɺ ͱͳ͍ͬͯΔɻ ⌥ = <latexit sha1_base64="QxIEmfoNiFVKGqwgcg1uW9B14B0=">AAAB8HicZZBLT8JAEMenPhFfVY9eiFw8NIQCFTyQkHjx4AETCyS0IdtlKSu7bdPdEkjD9/BgYow3v4mJXvTkt7EULsj/Mr/Zee2MEzAqZLH4q2xsbm3v7Gb2svsHh0fH6slpS/hRiImJfeaHHQcJwqhHTEklI50gJIg7jLSd0c083h6TUFDfe5DTgNgcuR4dUIxk8tRT61baoxu6jh0XC0WjUi4ZWgLVSqlUm8OVcV2tzbKWwy0zEJT5Xq6em3tNQXtqPslIlVsHfQl5WKrZU5+tvo8jTjyJGRKiGwUMSTKx40eBQkkxI8moSJAA4RFySTeSg5odUy+IJPHwaqw/poHwECdCE2N3ARNdT8GOJ+liKxUx4oIjOdQSK6bc0RyucUYGMqTuUM6yyTr6/8+vQ6tU0MsF476Sb+h3n4m+IAPncAGXoEMVGnALTTABwxt8wDf8KKHypLwor4sbbCjLY5zBipT3P1n2kV8=</latexit> ·? = ¯ · <latexit sha1_base64="10P1B9X1e4xBuxvOib4zm+WnPSA=">AAAB9HicZZDLTsJAFIZP8YZ4Q126IbJx0RDKRXBhgnHjwgUmckloJdNhKCMzbTMzJZCGN2FnjDufRLYa38ZS2CD/5nw593Nsn1Gp8vlfLbG1vbO7l9xPHRweHZ+kT8+a0gsEJg3sMU+0bSQJoy5pKKoYafuCIG4z0rKH94t4a0SEpJ77rCY+sThyXNqnGKnI1U3fmXGPjnBsK8zn8uVSsVDWI6iUCoXqAq7LN5XqNGXinqdeTKmQyNxmTBuJMHZNu+lslBUrswnGCrKwUr2bnpk9DwecuAozJGUn8BlSZGyFrxIJRTEj0bhAEh/hIXJIJ1D9qhVS1w8UcfF6rDeivnQRJ1KXI2cJY8OIwQrH8XFrFSHikiM10CMrJ9zWba5zRvpKUGegpqnoHOP/8pvQLOSMYq78VMrWjMevSHNIwgVcwhUYUIEaPEAdGoDhA+bwDT/aSJtpb9r78gcJbfWMc1iT9vkHtOCTbA==</latexit> L = K ? XX KXX K ? XX = H ? HH ? <latexit sha1_base64="0tRT7RlhJcSI0e8jw9vK+3RLRg8=">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</latexit> = Tr [(KY Y + K˜ Y ˜ Y 2K Y ˜ Y ) L] = Tr [GL] <latexit sha1_base64="Towx5L9Yi4+tAXFA0SO5CiHy6zk=">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</latexit>
  11. 14.

    $..%ͷܭࢉ w ͱ͢Δ X = ˜ X <latexit sha1_base64="UnxfbK3vF3Y5YBPp9+HtSZ0ec3I=">AAAB6HicZZDPTsJAEMan/hf/oR69ELl4aAhFKngwMXrxiIlIE9qQ7TLUld226W4JpOEZ9GaMnnwT402fwAfxbqlckO8yv8yXmcw3bsiZVOXyt7awuLS8srq2ntvY3Nreye/u3cogjig2acCDyHKJRM58bCqmOFphhES4HFtu/3LitwYYSRb4N2oUoiOI57Meo0SlrU7etLMd7chznaRcKpvV44qpp1CrVir1CZyYp7X6OGcVzgq2YryLiTXu5Iupk6kwD8YUijBVo5N/tbsBjQX6inIiZTsOOVE4dJJ7SSLFKMdxzo4lhoT2iYftWPXqTsL8MFbo01mvO2Ch9IlAqcuB9wdDw8jASYZZoJmJhAgpiLrT0ypHwtVdoQuOPRUx706Nc2kc4//x83BbKRnHJfO6Wjy/cB/so58PWIMDOIQjMKAG53AFDWgChRd4h0/40u61R+1Je/77wYI2fcY+zEh7+wVcYIz2</latexit> 14

    CMMD2 = CY |X C˜ Y | ˜ X 2 F⌦G = ( > + I) 1 > ˜ ( ˜ > ˜ + I) 1 ˜ > 2 F⌦G <latexit sha1_base64="+ETlIaAdS/ReuWr9EwNFZpa9Oug=">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</latexit> = Tr (KXX K? XX KY Y K? XX ) + Tr K ˜ X ˜ X K? ˜ X ˜ X K˜ Y ˜ Y K? ˜ X ˜ X 2Tr K ˜ XX K? XX K Y ˜ Y K? ˜ X ˜ X <latexit sha1_base64="/Pl9fdBu0nurhKdMkOMinQNvVAw=">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</latexit> ৚݅෇͚ʹΑΔ߲ ʢ..%Ͱ͸ߦྻʣ = Tr [(KY Y + K˜ Y ˜ Y 2K Y ˜ Y ) L] = Tr [GL] <latexit sha1_base64="Towx5L9Yi4+tAXFA0SO5CiHy6zk=">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</latexit> $..%ʹ؍ଌɾ໨ඪͷάϥϜߦྻʷ৚݅෇͚ͷॏΈ ࿦จதͰ͸ ɺ ͱͳ͍ͬͯΔɻ ⌥ = <latexit sha1_base64="QxIEmfoNiFVKGqwgcg1uW9B14B0=">AAAB8HicZZBLT8JAEMenPhFfVY9eiFw8NIQCFTyQkHjx4AETCyS0IdtlKSu7bdPdEkjD9/BgYow3v4mJXvTkt7EULsj/Mr/Zee2MEzAqZLH4q2xsbm3v7Gb2svsHh0fH6slpS/hRiImJfeaHHQcJwqhHTEklI50gJIg7jLSd0c083h6TUFDfe5DTgNgcuR4dUIxk8tRT61baoxu6jh0XC0WjUi4ZWgLVSqlUm8OVcV2tzbKWwy0zEJT5Xq6em3tNQXtqPslIlVsHfQl5WKrZU5+tvo8jTjyJGRKiGwUMSTKx40eBQkkxI8moSJAA4RFySTeSg5odUy+IJPHwaqw/poHwECdCE2N3ARNdT8GOJ+liKxUx4oIjOdQSK6bc0RyucUYGMqTuUM6yyTr6/8+vQ6tU0MsF476Sb+h3n4m+IAPncAGXoEMVGnALTTABwxt8wDf8KKHypLwor4sbbCjLY5zBipT3P1n2kV8=</latexit> ·? = ¯ · <latexit sha1_base64="10P1B9X1e4xBuxvOib4zm+WnPSA=">AAAB9HicZZDLTsJAFIZP8YZ4Q126IbJx0RDKRXBhgnHjwgUmckloJdNhKCMzbTMzJZCGN2FnjDufRLYa38ZS2CD/5nw593Nsn1Gp8vlfLbG1vbO7l9xPHRweHZ+kT8+a0gsEJg3sMU+0bSQJoy5pKKoYafuCIG4z0rKH94t4a0SEpJ77rCY+sThyXNqnGKnI1U3fmXGPjnBsK8zn8uVSsVDWI6iUCoXqAq7LN5XqNGXinqdeTKmQyNxmTBuJMHZNu+lslBUrswnGCrKwUr2bnpk9DwecuAozJGUn8BlSZGyFrxIJRTEj0bhAEh/hIXJIJ1D9qhVS1w8UcfF6rDeivnQRJ1KXI2cJY8OIwQrH8XFrFSHikiM10CMrJ9zWba5zRvpKUGegpqnoHOP/8pvQLOSMYq78VMrWjMevSHNIwgVcwhUYUIEaPEAdGoDhA+bwDT/aSJtpb9r78gcJbfWMc1iT9vkHtOCTbA==</latexit> ͨͩ͠A? = (A + I) 1 <latexit sha1_base64="5Jsek6xTi7MPQyCduNqSUWyNUtA=">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</latexit>
  12. 15.

    $..%ͷܭࢉ͸ॏ͍ w Ͱ͔͍ߦྻͷٯߦྻܭࢉ͕ඞཁ w Ͱ͔͍ߦྻͷੵͱUSΛͱΔඞཁ͕͋Δ w ຖΤϙοΫඞཁ w ຊ౰͸ܥྻશମʹରͯ͠ܭࢉ͠ͳ͍ͱ͍͚ͳ͍ 15

    CMMD2 = Tr ⇥ (KY Y + K˜ Y ˜ Y 2KY ˜ Y ) · (H + I) 1 H (H + I) 1 ⇤ <latexit sha1_base64="IJCU9ZquIJ7dV6SCdl/sCwCaLEQ=">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</latexit>
  13. 17.

    ཚ୒ԽϑʔϦΤಛ௃ w 3BOEPN'PVSJFSGFBUVSFTʢ3''ʣ w ࠩͰఆٛͰ͖ͯɺ࿈ଓͰϑʔϦΤม׵Ͱ͖ΔΧʔωϧ͸ ཚ୒ԽϑʔϦΤಛ௃ʹΑͬͯۙࣅͰ͖Δ 17 k(y, ˜ y)

    ⇡ z(y)>z(˜ y) z(y) = r 2 M 2 6 4 cos(y>!1 + b1) . . . cos(y>!M + bM ) 3 7 5 <latexit sha1_base64="TzhliHgQu9dxtnAku+ma+1cXmoc=">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</latexit> k = e k k2 2 $ p(!) = 1 (2⇡)M/2 e k!k2 2 <latexit sha1_base64="4Rp47YwAMUch06B0M5jGoqrexJY=">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</latexit> "MJ3BIJNJBOE#FO3FDIU3BOEPNGFBUVSFTGPSMBSHFTDBMFLFSOFMNBDIJOFT*O1SPD/*14 < К ͷ Ұ༷ཚ਺ Χʔωϧґଘͷ ෼෍ͷཚ਺
  14. 18.

    ཚ୒ԽϑʔϦΤಛ௃ͷҙຯ w ͷظ଴஋ΛϞϯςΧϧϩ๏తʹͱ͍ͬͯΔ w Λ૿΍ͤ͹஋͕ۙ͘ͳΔ͜ͱ͕ظ଴Ͱ͖Δ w ٯϑʔϦΤม׵͸࣌ؒ͋ͨΓͷظ଴஋ z(y)z(˜ y) <latexit

    sha1_base64="VLQKhIeAlCvJ50wmUk5gyVmAXag=">AAAB9XicZZDNTsJAEMenfiJ+oR69GLlg0hCKIHgzePGoiagJbcjuMtSV3bbpbhFs+gy+gN6M8eZDePeqPoh3K3BB/5f5zWdmhgaCK10qfRkzs3PzC4uZpezyyuraem5j80L5UciwyXzhh1eUKBTcw6bmWuBVECKRVOAl7R3/5i/7GCrue+d6GKAjievxLmdEp6F2rmGPZrRClzpxqViqVvbLVTOFWqVcrv/CQfWwVk+ydwWbyniY7KWguehgPPaTvXYun5aNtPMfrAnkYaLTdu7B7vgskuhpJohSrSgQROPAiW8UCTVnApOsHSkMCOsRF1uR7tadmHtBpNFj07lOnwfKIxKVqfruGAaWNQInHoyum+qIiVSS6GsztWooqUmlKQV2dcjda51k03Osv8v/h4ty0dovVs8q+aMGvbcL32+QgW3YhQJYUIMjOIFTaAKDF3iHD/g0bo1H48l4Hv9gxpg8YwumZLz+AIfMkxk=</latexit> M <latexit sha1_base64="NrIvPyX3Ke2mREs9QIlB8EP+YMU=">AAAB3HicZZBLT8JAEMen+ML6Qj16MXLBpCEtD8Eb0YsXE0zkkdBKtstSVnbbprslkIabN2O4efJreNWDn8IP4t1SuKD/y/xmJjOZ/9g+o0Lq+reSWlvf2NxKb6s7u3v7B5nDo6bwwgCTBvaYF7RtJAijLmlIKhlp+wFB3GakZQ+v5/3WiASCeu69nPjE4shxaZ9iJONSN3NuJjs6gWNbkZ7Xy6VioazFUCkVCtU5XJQvK9WpetvNZOMs0el/MJaQhaXq3cyb2fNwyIkrMUNCdEKfIUnGVvQoUCApZmSqmqEgPsJD5JBOKPtVK6KuH0ri4tVeb0R94SJOhCZGzgLGhpGAFY0TEysTEeKCIznQ4igm3NZsrnFG+jKgzkBO1diO8ff4/9As5I1ivnxXytau7JmZ+/mCNJzAGeTAgArU4Abq0AAMM3iHD/hUHpQn5Vl5WfwgpSyfcQwrUl5/AXRTiDg=</latexit> 18 k(y, ˜ y) = E [z(y)z(˜ y)] ⇡ 1 M X m ⇥ cos(y>!m + bm) cos(˜ y>!m + bm) ⇤ <latexit sha1_base64="Tf4OmdZJqGVJ5jlaQHLigTQWj38=">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</latexit> "MJ3BIJNJBOE#FO3FDIU3BOEPNGFBUVSFTGPSMBSHFTDBMFLFSOFMNBDIJOFT*O1SPD/*14 k(y, ˜ y) = Z p(!)ej!>(y ˜ y)d! <latexit sha1_base64="J3h2zuYOaetdbc0PdcIz5T0ri38=">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</latexit>
  15. 19.

    $..%ͷܭࢉ w 3''Λ࢖͏ͱɺͰ͔͍άϥϜߦྻΛ௿ϥϯΫۙࣅͰ͖Δ 19 L = (H + I) 1

    H (H + I) 1 ⇡ ZZ > + I 1 ZZ > ZZ > + I 1 = Z Z > Z + I 1 Z > Z + I 1 Z > = Z⇤ 1⇤ 1 Z > <latexit sha1_base64="F1f6kJcSvMt2J+2KKxbt01SqNyE=">AAADxnicnVLNbtNAEN7a/JTw07QcuVhEqoJqIv/EiTlUquASpB6KRNqKrBvtOhvX1GuvvOuQyLLEG/ACSFzhOXgKHoQ7/kOKiVShzMH7zc7MNzPfGrPA50LTfu1I8p279+7vPmg9fPT4yV57/+CcR0nskrEbBVF8iREngR+SsfBFQC5ZTBDFAbnAN2+K+MWCxNyPwvdixYhDkRf6c99FIr+a7ksHsCSZxB52Uq2nWX3TsNQcDPuGYRdgYL0a2lkLYpqeZsrhsQIDMhfdwh9lRzDIm81Q4b3NYOx71+LFVfpSz6r4/+UqELYOIWIsjpY1vVJkfciq7xUUEVOOlFsINrK3o8nnOK5r0qYytm2YtpELYlrGYFhIZJn2oK+trVh3qOBtfbYoae62zZiYwtOS/O/zrLvr9NN2J3/20pRNoNegA2o7m7a/wlnkJpSEwg0Q55OEBUiQpZN+5CgWvhuQ/P9JOGHIvUEemSRibjupH7JEkNBtxmYLn/EQUcJVvvAqsNT1Ejjpsly2UZEiyikS12p+8hXFKqYqLQQu1cta+Tr6v8NvgnOjp5s9612/c/Iaf4Hd3z/BLngGnoMu0MEQnIAROANj4Eor6Zv0Xfohj+RQTuRPlQbSTi3GU9Aw+fMfNzo0PA==</latexit> ਤ͸4-1ͷεϥΠυ͔Βɻ .BUSJYDPPLCPPLࣜ  ࢀরɻ࿦จͱ݁Ռ͕ҧͬͯ͠·ͬͨͷͰɺͲͪΒ͔͕ؒҧ͍ͬͯ·͢ɻ ˡ ͸αϯϓϧͷॱংʹΑΒͳ͍ ⇤ <latexit sha1_base64="zKKiAl/z5Ud0HpR0XWDARE1xsJU=">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</latexit>
  16. 20.

    3''ʹΑΔ௿ϥϯΫۙࣅͷԸܙ w ͷܭࢉίετ͕Լ͕Δ w ϒϩοΫର͚֯ͩɿ ͘Β͍ w ఏҊ๏ʢ3''ʣɿ  w

    ϛχόονͷαΠζΛେ͖͘Ͱ͖Δʂ L = (H + I) 1 H (H + I) 1 <latexit sha1_base64="AB27U8XFPbW4NlUVoWwqdc3xfaA=">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</latexit> O(B 3) <latexit sha1_base64="IoSDqJywJxtkczdfu3fNEpNX4nY=">AAAB4XicZZDLTsJAFIZP8Yb1hrp0Y2SDSUMoF8EdwY07MZFLQiuZDkMZmWmbzpRAGh7Alca40ydxiy/hg7i3FDbIvzlf/pNzcs5veYwKmcv9KImNza3tneSuurd/cHiUOj5pCjfwMWlgl7l+20KCMOqQhqSSkbbnE8QtRlrW8Gbeb42IL6jrPMiJR0yObIf2KUYysrqprBHv6Pi2ZYa5bK5ULORLWgTlYj5fmcNV6bpcmap3mdpj4bKbSkdWrPN10JeQhqXq3dSn0XNxwIkjMUNCdAKPIUnGZvgkkC8pZmSqGoEgHsJDZJNOIPsVM6SOF0ji4NVeb0Q94SBOhCZG9gLGuh6DGY7jT1YmQsQFR3KgRVVMuKVZXOOM9KVP7YGcqtE7+v/j16GZz+qFbOm+mK7WrBcj8zuDJJzBBWRAhzJU4Rbq0AAM7/AFM/hWsPKsvCpviwwSyjKMU1iR8vEH5lWJkA==</latexit> O(BM 2) <latexit sha1_base64="8Wos4/TypsQDIMp8RKEIHFN2iAk=">AAAB4nicZZDLTsJAFIZP8Yb1hrp0Y2SDSYO0gOCO4MaNERO5JFDJdBjKyEzbdKYE0vACbowx7ngTl+pD+CDuLZcN8m/Ol//knJzzWx6jQmYyP0psbX1jcyu+re7s7u0fJA6PasINfEyq2GWu37CQIIw6pCqpZKTh+QRxi5G61b+e9usD4gvqOg9y5BGTI9uhXYqRjKx24qI129H0bcsMM+lMPpc18loEhZxhFKdwmb8qFMfqXap8+2ictxPJyJvpdBX0BSRhoUo7MWl1XBxw4kjMkBDNwGNIkqEZPgnkS4oZGautQBAP4T6ySTOQ3aIZUscLJHHwcq8zoJ5wECdCEwN7DkNdn4EZDmevLE2EiAuOZE+LqhhxS7O4xhnpSp/aPTlWo3f0/8evQs1I69l0/j6XLJWtl1bq9xPicAJnkAIdClCCG6hAFTC8wwd8wbfSUZ6VV+VtnkFMWYRxDEtSJn964Ynm</latexit> 20 (a) Block-diagonal approximation (b) RFF approximation 0 #?. ͳؾ͕͠ͳ͘΋ͳ͍ɻͭͷߦྻͷੵͷܭࢉྔΘ͔ΒΜɻ
  17. 21.

    ࣮ݧ৚݅ w ঁੑ࿩ऀͷ+465ʴ"53ʢʴจʣ܁Γฦ͠ൃ࿩JOL)[ w ֶशจɾόϦσʔγϣϯจɾධՁจʢͦΕͧΕճͣͭʣ w ෼ੳ߹੒ɿ453"*()5XJUINTγϑτ w ಛ௃ྔɿʢMPH'ʴ࣍NDFQʴ࣍ݩඇपظʣʷʢ4 %

    %ʣʴ767ʹ࣍ݩ w ίϯςΩετϥϕϧ࣍ݩʗCPUUMFOFDLGFBUVSF࣍ݩʗཚ਺࣍ݩ w Χʔωϧؔ਺͸͢΂ͯΨ΢γΞϯʢϥδΧϧجఈؔ਺ɿ3#'ʣΧʔωϧ w ϛχόοναΠζɿJO%//ʗ࠷େJO(../ʢ3''ͷ.ʹʣ w ϛχόον΁ͷ෼ׂ๏ɿཚ୒ʢ#ʹʣPSLNFBOTʢ#ʹʙʣ w LNFBOT͸CPUUMFOFDLGFBUVSFج४ w ख๏ɿఏҊ๏ཚ୒ʢ3''3"/%ʣɾఏҊ๏LNFBOTʢ3''$-45ʣɾ ϒϩοΫର֯ཚ୒ʢ#-0$,3"/%ʣɾϒϩοΫର֯LNFBOTʢ#-0$,$-45ʣɾ (../ͳ͠.4&͚ͩͷ%//ʢ.4&ʣɾ෼ੳ࠶߹੒ʢ70$ʣ w ओ؍ධՁͷOʹʢΫϥ΢υϕʔεʣ 21 LNFBOTͷΫϥελ͋ͨΓͷαϯϓϧ਺͕࠷େͱ࿦จʹ͔͔Ε͍ͯΔ͕ɺͨͿΜ࠷খͩͱࢥ͏ɻ
  18. 22.

    ओ؍ධՁ w ࣗવੑ.04 w ఏҊ๏ཚ୒ʼͦΕҎ֎ w LNFBOT͕ඍົͳͷ͸ ӆ཯ͷ໰୊ʁ w ൃ࿩ͷҧ͏ײ.04

    w &YQSFTTJWFϨϕϧͷ ҧ͍Λ૝ఆͯ͠͠·ͬͨʁ 22 1 MSE Mean opinion score BLOCK-RAND BLOCK-CLST RFF-RAND RFF-CLST VOC 2 3 4 5 MSE 1 2 3 4 5 BLOCK-RAND BLOCK-CLST RFF-RAND RFF-CLST VOC Mean opinion score
  19. 23.

    ൃ࿩ͷΏΒ͗ײ w ओ؍ධՁʹ͸ܧଓ௕͕ޮ͘ʁ 23 ϝϧέϓετϥϜ MPH' <DFOU> ܧଓ௕ <NT> ࣍

    ࣍ ϒϩοΫཚ୒     ϒϩοΫLNFBOT     3''ཚ୒     3''LNFBOT     ϑϨʔϜ͝ͱʢܧଓ௕͸Իૉ͝ͱʣͷඪ४ภࠩ MSE 1 2 3 4 5 BLOCK-RAND BLOCK-CLST RFF-RAND RFF-CLST VOC Mean opinion score