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2
3
s =
Z
p(x)f(x)dx = Ep[f(x)]
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(17.2)
4
p n
(17.3)ˆsn =
1
n
nX
i=1
f(x(i)
)
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x(1)
, ..., x(n)
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ˆs<latexit sha1_base64="NiACK1SfjUXm5GtgHd8jHniapmM=">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</latexit><latexit sha1_base64="NiACK1SfjUXm5GtgHd8jHniapmM=">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</latexit><latexit sha1_base64="NiACK1SfjUXm5GtgHd8jHniapmM=">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</latexit>
5
ˆs<latexit sha1_base64="NiACK1SfjUXm5GtgHd8jHniapmM=">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</latexit><latexit sha1_base64="NiACK1SfjUXm5GtgHd8jHniapmM=">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</latexit><latexit sha1_base64="NiACK1SfjUXm5GtgHd8jHniapmM=">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</latexit>
f(x(i)
)<latexit sha1_base64="itpisSHjTFx9ElqLyPxdTbWfd4I=">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</latexit><latexit sha1_base64="itpisSHjTFx9ElqLyPxdTbWfd4I=">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</latexit><latexit sha1_base64="itpisSHjTFx9ElqLyPxdTbWfd4I=">AAACbHichVHLSsNAFD2Nr1ofrYogFEEsSt2UWxF8rAQ3rkSrVfFJEqd1aJqEJC3W4g+4FlyIgoKI+Blu/AEXfoK4cKHgxoW3aUBU1DvMzJkz99w5M6PZhnQ9ooeQ0tDY1NwSbo20tXd0RmNd3cuuVXJ0kdUtw3JWNdUVhjRF1pOeIVZtR6hFzRArWmGmtr9SFo4rLXPJq9his6jmTZmTuuoxtZZL7m1Vk3LkYGQ7lqAU+THwE6QDkEAQ81bsChvYgQUdJRQhYMJjbECFy20daRBs5jZRZc5hJP19gQNEWFviLMEZKrMFHvO8Wg9Yk9e1mq6v1vkUg7vDygEM0T1d0wvd0Q090vuvtap+jZqXCs9aXSvs7ehh3+Lbv6oizx52P1V/evaQw4TvVbJ322dqt9Dr+vL+8cviVGaoOkwX9MT+z+mBbvkGZvlVv1wQmRNE+APS35/7J8iOpiZTtDCWmJ4LfiKMOAaR5OcexzRmMY8sH2viCKc4Cz0rvUpc6a+nKqFA04MvoQx/AFUUjPg=</latexit>
V ar[ˆsn]<latexit sha1_base64="HMteKWVxiIsGSrcT8NJuF6DYPXQ=">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</latexit><latexit sha1_base64="HMteKWVxiIsGSrcT8NJuF6DYPXQ=">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</latexit><latexit sha1_base64="HMteKWVxiIsGSrcT8NJuF6DYPXQ=">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</latexit>
ˆsn<latexit sha1_base64="ROTf3e+r312tqb17jrWAZOWjKC4=">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</latexit><latexit sha1_base64="ROTf3e+r312tqb17jrWAZOWjKC4=">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</latexit><latexit sha1_base64="ROTf3e+r312tqb17jrWAZOWjKC4=">AAACa3ichVG7SgNBFD1ZXzG+4qMQtRBDxCrciOCjCthYSaLGByphd53o4r7YnQRiyA/YWliohYKI+Bk2/oCFnyCCjYKNhTebBVFR7zAzZ87cc+fMjOaahi+JHiJKU3NLa1u0PdbR2dXdE+/tW/WdkqeLvO6Yjreuqb4wDVvkpSFNse56QrU0U6xp+/P1/bWy8HzDsVdkxRXblrprG0VDVyVTG1t7qqz6tYJdiCcoRUGM/gTpECQQRtaJX2ELO3CgowQLAjYkYxMqfG6bSIPgMreNKnMeIyPYF6ghxtoSZwnOUJnd53GXV5sha/O6XtMP1DqfYnL3WDmKJN3TNb3QHd3QI73/Wqsa1Kh7qfCsNbTCLfQcDi6//auyeJbY+1T96VmiiJnAq8He3YCp30Jv6MsHxy/Lc0vJ6jhd0BP7P6cHuuUb2OVX/TInlk4Q4w9If3/unyA/mZpNUW4qkVkMfyKKYYxhgp97GhksIIs8H2vhCKc4izwrA8qQMtJIVSKhph9fQkl+AFKfjYA=</latexit>
V ar[f(x)]
n<latexit sha1_base64="4+WuzDq7Prwz4tKXMLtWoO5QsaA=">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</latexit><latexit sha1_base64="4+WuzDq7Prwz4tKXMLtWoO5QsaA=">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</latexit><latexit sha1_base64="4+WuzDq7Prwz4tKXMLtWoO5QsaA=">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</latexit>
s<latexit sha1_base64="AqzgrL4XazhnwtGpatZwVQaeDqQ=">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</latexit><latexit sha1_base64="AqzgrL4XazhnwtGpatZwVQaeDqQ=">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</latexit><latexit sha1_base64="AqzgrL4XazhnwtGpatZwVQaeDqQ=">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</latexit>
6
p(x) 

7
q(x) 

p(x) q(x)
p(x)f(x) = q(x)
p(x)f(x)
q(x)<latexit sha1_base64="BcB/L5G5BBcuoJQZ33z5pO69tgg=">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</latexit><latexit sha1_base64="BcB/L5G5BBcuoJQZ33z5pO69tgg=">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</latexit><latexit sha1_base64="BcB/L5G5BBcuoJQZ33z5pO69tgg=">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</latexit>
(17.8)
(17.10)
ˆsq =
1
n
nX
i=1,x(i)⇠q
p(x(i)
)f(x(i)
)
q(x(i))
<latexit sha1_base64="9dzEwuoowUyRyUy29OhHdW0Cicw=">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</latexit><latexit sha1_base64="9dzEwuoowUyRyUy29OhHdW0Cicw=">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</latexit><latexit sha1_base64="9dzEwuoowUyRyUy29OhHdW0Cicw=">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</latexit>
8
q 

q
Ep[f(x)] = Eq[
p(x)f(x)
q(x)
] = s
<latexit sha1_base64="Zxcg7PecV4tR+2T2fCjyglVOVYY=">AAACjnichVHLSsNAFD3Gd31V3QhuikVRF+VWBB8gCiK4El9VoZaQxKkG0yQmabGG/oArdy5cKYiIe7cKbvwBF36CuFRw48KbNCAq6g2ZOXPuPXfOzKi2obse0WONVFtX39DY1BxraW1r74h3dq25VtHRREazDMvZUBVXGLopMp7uGWLDdoRSUA2xru7OBvn1knBc3TJXvbItcgVl29TzuqZ4TMnx4TnZzuYH94dyianEnLyX3cw7iubbzARsxd8LxiDpyvEkpSiMxE+QjkASUSxa8QtsYgsWNBRRgIAJj7EBBS5/WaRBsJnLwWfOYaSHeYEKYqwtcpXgCoXZXR63eZWNWJPXQU83VGu8i8G/w8oE+umBLumF7umKnuj9115+2CPwUuZZrWqFLXcc9qy8/asq8Oxh51P1p2cPeYyHXnX2bodMcAqtqi8dHL+sTC73+wN0Rs/s/5Qe6Y5PYJZetfMlsXyCGD9A+vt1/wSZkdREipZGkzML0Us0oRd9GOTrHsMM5rGIDG97hGvc4FbqlMakKWm6WirVRJpufAlp/gNsLpfq</latexit><latexit sha1_base64="Zxcg7PecV4tR+2T2fCjyglVOVYY=">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</latexit><latexit sha1_base64="Zxcg7PecV4tR+2T2fCjyglVOVYY=">AAACjnichVHLSsNAFD3Gd31V3QhuikVRF+VWBB8gCiK4El9VoZaQxKkG0yQmabGG/oArdy5cKYiIe7cKbvwBF36CuFRw48KbNCAq6g2ZOXPuPXfOzKi2obse0WONVFtX39DY1BxraW1r74h3dq25VtHRREazDMvZUBVXGLopMp7uGWLDdoRSUA2xru7OBvn1knBc3TJXvbItcgVl29TzuqZ4TMnx4TnZzuYH94dyianEnLyX3cw7iubbzARsxd8LxiDpyvEkpSiMxE+QjkASUSxa8QtsYgsWNBRRgIAJj7EBBS5/WaRBsJnLwWfOYaSHeYEKYqwtcpXgCoXZXR63eZWNWJPXQU83VGu8i8G/w8oE+umBLumF7umKnuj9115+2CPwUuZZrWqFLXcc9qy8/asq8Oxh51P1p2cPeYyHXnX2bodMcAqtqi8dHL+sTC73+wN0Rs/s/5Qe6Y5PYJZetfMlsXyCGD9A+vt1/wSZkdREipZGkzML0Us0oRd9GOTrHsMM5rGIDG97hGvc4FbqlMakKWm6WirVRJpufAlp/gNsLpfq</latexit>
(17.11)
V ar[ ˆsq] =
1
n
V ar[
p(x(i)
)f(x(i)
)
q(x(i))
]
<latexit sha1_base64="TSgMynJ9aO6EdewOC/iU25boCbU=">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</latexit><latexit sha1_base64="TSgMynJ9aO6EdewOC/iU25boCbU=">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</latexit><latexit sha1_base64="TSgMynJ9aO6EdewOC/iU25boCbU=">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</latexit> (17.12)
q
9
(17.13)q⇤
(x) =
p(x)|f(x)|
Z<latexit sha1_base64="nDtZ0Ey4kG6XLW0lGBy+XmPrdS4=">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</latexit><latexit sha1_base64="nDtZ0Ey4kG6XLW0lGBy+XmPrdS4=">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</latexit><latexit sha1_base64="nDtZ0Ey4kG6XLW0lGBy+XmPrdS4=">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</latexit>
q⇤
<latexit sha1_base64="sojW+TlPwsdsv6SxAlSgsj4c9ww=">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</latexit><latexit sha1_base64="sojW+TlPwsdsv6SxAlSgsj4c9ww=">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</latexit><latexit sha1_base64="sojW+TlPwsdsv6SxAlSgsj4c9ww=">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</latexit>
10
p q
(17.14)
(17.15)
ˆsBIS =
Pn
i=1
p(x(i)
)
q(x(i))
f(x(i)
)
Pn
i=1
p(x(i))
q(x(i))<latexit sha1_base64="iR7wmliLh9BQl+P3Peab69aaNAE=">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</latexit><latexit sha1_base64="iR7wmliLh9BQl+P3Peab69aaNAE=">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</latexit><latexit sha1_base64="iR7wmliLh9BQl+P3Peab69aaNAE=">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</latexit>
=
Pn
i=1
p(x(i)
)
˜q(x(i))
f(x(i)
)
Pn
i=1
p(x(i))
˜q(x(i))<latexit sha1_base64="5EcLnEsInySexbLewLfE8+XfwwY=">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</latexit><latexit sha1_base64="5EcLnEsInySexbLewLfE8+XfwwY=">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</latexit><latexit sha1_base64="5EcLnEsInySexbLewLfE8+XfwwY=">AAAC3niclVE7S8RAEJ7E9/m4qI1gEzyUsznmRPABgmBjJb5OBU+PJO7pYl4me4caUguCWCpYKYiIP8PGP2BhZyuWCjYWzuUCvlBxQna//Wa+2W93ddfkvkC8k+Sa2rr6hsamRHNLa1tSae9Y8J2SZ7Cc4ZiOt6RrPjO5zXKCC5MtuR7TLN1ki/rmRCW/WGaezx17Xuy4bMXS1m1e5IYmiCoou2NqvuhpRpD3S9ZqYIeFgI9lwyrnprdXgzTvD/vDIC+4ucbUrXdKLX5M/1seFpQUZjAK9TvIxiAFcUw7ygXkYQ0cMKAEFjCwQRA2QQOfvmXIAoJL3AoExHmEeJRnEEKCtCWqYlShEbtJ4zqtlmPWpnWlpx+pDdrFpN8jpQq9eIuX+IQ3eIUP+PpjryDqUfGyQ7Ne1TK3kNzvmnv5U2XRLGDjXfWrZwFFGI68cvLuRkzlFEZVX949epobne0N+vAMH8n/Kd7hNZ3ALj8b5zNs9gQS9ADZr9f9HeQGMiMZnBlMjU/FL9EI3dADabruIRiHSZiGHG17L9VLSUmRNXlPPpAPq6WyFGs64VPIx2/NPrdK</latexit>
=
Pn
i=1
˜p(x(i)
)
˜q(x(i))
f(x(i)
)
Pn
i=1
˜p(x(i))
˜q(x(i))<latexit sha1_base64="h/kCf/WKAmCx/Q1WvbA2cIiQS3c=">AAAC7HicnVHLSiNBFL3d6hgzzhgfC0FGGoNDsgk3IvgAQZiNK4mPqGA0dHcqsbBfdleCsem9uB9cBBcKKuJnzMYfcOEnDIIbBTcuvOn04IziDMxtuurUuffcOlWlOQb3BOKNJLe1d3zojHXFP3Z/+tyT6O1b8eyqq7O8bhu2u6apHjO4xfKCC4OtOS5TTc1gq9r2t2Z+tcZcj9vWsqg7bMNUKxYvc10VRBUT+zNKoeyqul/wquambwVFn89kg4gT3CgxxUntbvopng7SwS9q54VSyr+n/7dLUEwkMYNhKG9BNgJJiCJnJ86hACWwQYcqmMDAAkHYABU8+tYhCwgOcRvgE+cS4mGeQQBx0lapilGFSuw2jRVarUesRetmTy9U67SLQb9LSgVG8Rov8B6v8BJ/4tO7vfywR9NLnWatpWVOsedgcOnxnyqTZgFbL6q/ehZQhsnQKyfvTsg0T6G39LW9w/ul6cVR/yue4C35P8Yb/EEnsGoP+ukCW2xAnB4g+/q634L8WGYqgwvjydn56CViMAQjkKLrnoBZmIMc5GnbO2lA+iINy7b8XW7IR61SWYo0/fBHyGfPt7y88g==</latexit><latexit sha1_base64="h/kCf/WKAmCx/Q1WvbA2cIiQS3c=">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</latexit><latexit sha1_base64="h/kCf/WKAmCx/Q1WvbA2cIiQS3c=">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</latexit>
(17.16)
q
p,q
11
q
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ˆsBIS =
Pn
i=1
p(x(i)
)
q(x(i))
f(x(i)
)
Pn
i=1
p(x(i))
q(x(i))<latexit sha1_base64="iR7wmliLh9BQl+P3Peab69aaNAE=">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</latexit><latexit sha1_base64="iR7wmliLh9BQl+P3Peab69aaNAE=">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</latexit><latexit sha1_base64="iR7wmliLh9BQl+P3Peab69aaNAE=">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</latexit>
12
q
q(x) p(x) f(x)
q
q(x(i)
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q(x(i)
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s
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q(t)
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(17.18)q(t+1)
(x0
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X
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q(t)
(x)T(x0
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q(t)
( ) =<latexit sha1_base64="5+74x6In3XLC9bU79im5T95tgb8=">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</latexit><latexit sha1_base64="5+74x6In3XLC9bU79im5T95tgb8=">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</latexit><latexit sha1_base64="5+74x6In3XLC9bU79im5T95tgb8=">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</latexit>
q(t)
( ) =<latexit sha1_base64="5+74x6In3XLC9bU79im5T95tgb8=">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</latexit><latexit sha1_base64="5+74x6In3XLC9bU79im5T95tgb8=">AAACc3ichVHLSsNAFD2N7/po1Y2gi2BV6sJyK4IPUAQ3Ln1VBasliVMNpklMpgUt/QF/wEVXiiLiZ7jxB1z4CeJS0Y0Lb9OAqKg3TObMmXvunJmru5bpS6KHiNLQ2NTc0toWbe/o7IrFu3vWfafoGSJjOJbjbeqaLyzTFhlpSktsup7QCrolNvSDhdr+Rkl4vunYa/LIFdsFbc8286ahSaZy8djhTjkpRyvJrJpVR9XZXDxBKQpC/QnSIUggjCUnfoUsduHAQBEFCNiQjC1o8PnbQhoEl7ltlJnzGJnBvkAFUdYWOUtwhsbsAf/3eLUVsjavazX9QG3wKRYPj5UqhumerumZ7uiGHun911rloEbNyxHPel0r3FzspG/17V9VgWeJ/U/Vn54l8pgKvJrs3Q2Y2i2Mur50fPq8OrMyXB6hc3pi/2f0QLd8A7v0Ylwui5UqotyA9Pfn/gky46npFC1PJObnwk60oh+DSPJzT2Iei1hCJmhJFRe4jLwqA8qgMlRPVSKhphdfQhn7AIpxjj4=</latexit><latexit sha1_base64="5+74x6In3XLC9bU79im5T95tgb8=">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</latexit>
q(t)
( ) =<latexit sha1_base64="5+74x6In3XLC9bU79im5T95tgb8=">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</latexit><latexit sha1_base64="5+74x6In3XLC9bU79im5T95tgb8=">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</latexit><latexit sha1_base64="5+74x6In3XLC9bU79im5T95tgb8=">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</latexit>
q0(t+1)
( ) =<latexit sha1_base64="gEu1rGigupsETWRnv6sA9Q/5Z6Q=">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</latexit><latexit sha1_base64="gEu1rGigupsETWRnv6sA9Q/5Z6Q=">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</latexit><latexit sha1_base64="gEu1rGigupsETWRnv6sA9Q/5Z6Q=">AAACd3ichVHLSsNAFD2N7/qquhHcBItaEcqNCD5AEdy49FUVrJYkTjWYJjGZFmrxB/wBFy5EQVT8DDf+gAs/QVwqCOLC2zQgKuodZubMmXvunJkxPNsKJNFDTKmrb2hsam6Jt7a1d3QmurpXA7fomyJjurbrrxt6IGzLERlpSVuse77QC4Yt1oy9uer+Wkn4geU6K7Lsic2CvuNYecvUJVO5RM/+0FYlJUe04cNUVs2qw+q0mkskKU1hqD+BFoEkolhwE5fIYhsuTBRRgIADydiGjoDbBjQQPOY2UWHOZ2SF+wKHiLO2yFmCM3Rm93jc4dVGxDq8rtYMQrXJp9jcfVaqGKB7uqZnuqMbeqT3X2tVwhpVL2WejZpWeLnOo97l139VBZ4ldj9Vf3qWyGMi9Gqxdy9kqrcwa/rSwfHz8tTSQGWQzumJ/Z/RA93yDZzSi3mxKJZOEOcP0L4/90+QGU1PpmlxLDk7E/1EM/rQjxQ/9zhmMY8FZPjYMk5xhevYm6Iqg0qqlqrEIk0PvoSifQB1hY8J</latexit>
q0(t+1)
( ) =<latexit sha1_base64="gEu1rGigupsETWRnv6sA9Q/5Z6Q=">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</latexit><latexit sha1_base64="gEu1rGigupsETWRnv6sA9Q/5Z6Q=">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</latexit><latexit sha1_base64="gEu1rGigupsETWRnv6sA9Q/5Z6Q=">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</latexit>
q0(t+1)
( ) =<latexit sha1_base64="gEu1rGigupsETWRnv6sA9Q/5Z6Q=">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</latexit><latexit sha1_base64="gEu1rGigupsETWRnv6sA9Q/5Z6Q=">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</latexit><latexit sha1_base64="gEu1rGigupsETWRnv6sA9Q/5Z6Q=">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</latexit>
0.80 · 0.40 + 0.10 · 0.50 + 0.10 · 0.70 = 0.44<latexit sha1_base64="LG6corjIahKSTyFBOK83wAWJ6Jo=">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</latexit><latexit sha1_base64="LG6corjIahKSTyFBOK83wAWJ6Jo=">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</latexit><latexit sha1_base64="LG6corjIahKSTyFBOK83wAWJ6Jo=">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</latexit>
0.80 · 0.25 + 0.10 · 0.20 + 0.10 · 0.10 = 0.23<latexit sha1_base64="FmdmbnKKu0Cc4MFAazaJB9az5Lo=">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</latexit><latexit sha1_base64="FmdmbnKKu0Cc4MFAazaJB9az5Lo=">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</latexit><latexit sha1_base64="FmdmbnKKu0Cc4MFAazaJB9az5Lo=">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</latexit>
0.80 · 0.35 + 0.10 · 0.30 + 0.10 · 0.20 = 0.33<latexit sha1_base64="/lk8m9sp9bNMK8EF4nbdq8Iu4+A=">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</latexit><latexit sha1_base64="/lk8m9sp9bNMK8EF4nbdq8Iu4+A=">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</latexit><latexit sha1_base64="/lk8m9sp9bNMK8EF4nbdq8Iu4+A=">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</latexit>
15
q v 

T A 





v A
Ai,j = T(x0
= i|x = j)<latexit sha1_base64="ZJXnYMddoIX1BmZ3Ky529/7v/4g=">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</latexit><latexit sha1_base64="ZJXnYMddoIX1BmZ3Ky529/7v/4g=">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</latexit><latexit sha1_base64="ZJXnYMddoIX1BmZ3Ky529/7v/4g=">AAACeXichVHLLgRBFD3T3uMxg0gkNhMTDJHJHSQeySQeG0uvQYJMuluh6OnudPdM0PyAH7CwIhHBZ9j4AQufIJYkNhbu9HQiCG6lqk6duufWqSrNNqTrET1GlKrqmtq6+oZoY1NzSyze2rbsWkVHFzndMixnVVNdYUhT5DzpGWLVdoRa0Ayxou3NlPdXSsJxpWUueQe22Cio26bckrrqMZWPd0zlfTm4e5zIJpZS+31ZebSf3e3Px5OUpiASP0EmBEmEMWfFr7COTVjQUUQBAiY8xgZUuNzWkAHBZm4DPnMOIxnsCxwjytoiZwnOUJnd43GbV2sha/K6XNMN1DqfYnB3WJlADz3QNb3QPd3SE73/WssPapS9HPCsVbTCzsdOOhff/lUVePaw86n607OHLYwFXiV7twOmfAu9oi8dnr4sTiz0+L10Qc/s/5we6Y5vYJZe9ct5sXCGKH9A5vtz/wS5ofR4muZHkpPT4U/UowvdSPFzj2ISs5hDjo/1cY4b3EbelW4lpQxUUpVIqGnHl1CGPwBZf5Dl</latexit>
(17.19)
q(x = i) = vi<latexit sha1_base64="D4GZrzwoMOc6LsUvZQ6bZwS+1Gk=">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</latexit><latexit sha1_base64="D4GZrzwoMOc6LsUvZQ6bZwS+1Gk=">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</latexit><latexit sha1_base64="D4GZrzwoMOc6LsUvZQ6bZwS+1Gk=">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</latexit>
(17.17)
v(t)
= Av(t 1)
<latexit sha1_base64="ec6vRg5X9qV/YoFRX8//bA/i0z0=">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</latexit><latexit sha1_base64="ec6vRg5X9qV/YoFRX8//bA/i0z0=">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</latexit><latexit sha1_base64="ec6vRg5X9qV/YoFRX8//bA/i0z0=">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</latexit>
(17.20)
16


A
A
(17.21)v(t)
= At
v(0)
<latexit sha1_base64="l0SJxei8gzsL6rmD8/ybWhUkWlQ=">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</latexit><latexit sha1_base64="l0SJxei8gzsL6rmD8/ybWhUkWlQ=">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</latexit><latexit sha1_base64="l0SJxei8gzsL6rmD8/ybWhUkWlQ=">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</latexit>
17


t x x’
v(t)
= (V diag( )V 1
)t
v(0)
= V diag( )t
V 1
v(0)
<latexit sha1_base64="114UAQ0inwOiE0nNbrqZeuXUw+I=">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</latexit><latexit sha1_base64="114UAQ0inwOiE0nNbrqZeuXUw+I=">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</latexit><latexit sha1_base64="114UAQ0inwOiE0nNbrqZeuXUw+I=">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</latexit>
(17.22)
18


v
v0
= Av = v<latexit sha1_base64="MN46aIjDwie/HP62xVQmHtmhE8w=">AAACbXichVHLSsNAFD2N7/poVRBBkWKpuiq3IvgAwcfGpVarQi0liaMG0yQkaUCLP+BeXAiKgoj4GW78ARf9BHEjKLhx4U0aEC3qHTJz5sw9N2fuKJauOS5RNSI1NDY1t7S2Rds7Orti8e6edccs26rIqaZu2puK7AhdM0TO1VxdbFq2kEuKLjaU/UX/fMMTtqOZxpp7YIlCSd41tB1NlV2m8t5oYjYx7/HkFeNJSlMQiXqQCUESYSyb8RtsYRsmVJRRgoABl7EOGQ6PPDIgWMwVUGHOZqQF5wJHiLK2zFmCM2Rm93ne5V0+ZA3e+zWdQK3yX3T+bFYmkKJHuqVXeqA7eqKPX2tVghq+lwNelZpWWMXYcf/q+7+qEq8u9r5Uf3p2sYOpwKvG3q2A8W+h1vTe4enr6kw2VRmhK3pm/5dUpXu+geG9qdcrInuGKD9A5me760FuPD2dppWJ5NxC+BKtGMAwxrjdk5jDEpaRCxp2gnNcRF6kPmlQGqqlSpFQ04tvIY1+An9vjHs=</latexit><latexit sha1_base64="MN46aIjDwie/HP62xVQmHtmhE8w=">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</latexit><latexit sha1_base64="MN46aIjDwie/HP62xVQmHtmhE8w=">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</latexit>
(17.23)
19
q 

q 

q

 0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
q(x)
t
20
T 



(17.24)q0
(x0
) = Ex⇠qT(x0
|x)<latexit sha1_base64="hnuC16Rs8ec6vv+hXrP2WVuX7dw=">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</latexit><latexit sha1_base64="hnuC16Rs8ec6vv+hXrP2WVuX7dw=">AAACf3ichVHLLgRBFD3ae7wGG4lNxwRjM7kjEkYiESKx9BokyKS7FSr6Nd09k2FY2PoBCysSEbHhG2z8gIVPEEsSGwt3ejoRBLdSVadO3XPrVJXumtIPiB5rlNq6+obGpuZYS2tbe0e8s2vZdwqeIbKGYzreqq75wpS2yAYyMMWq6wnN0k2xou9OV/ZXisLzpWMvBXuu2LC0bVtuSUMLmMrFe/ODydLgkDqhzuTKpXVfWmr+cImpg9JQLp6gFIWh/gTpCCQQxZwTv8Q6NuHAQAEWBGwEjE1o8LmtIQ2Cy9wGysx5jGS4L3CIGGsLnCU4Q2N2l8dtXq1FrM3rSk0/VBt8isndY6WKfnqgK3qhe7qmJ3r/tVY5rFHxssezXtUKN9dx3LP49q/K4jnAzqfqT88BtjAWepXs3Q2Zyi2Mqr64f/KyOL7QXx6gc3pm/2f0SHd8A7v4alzMi4VTxPgD0t+f+yfIDqcyKZofSUxORT/RhF70IcnPPYpJzGIOWT72CJe4wa2iKEklpVA1VamJNN34EkrmAxPskhA=</latexit><latexit sha1_base64="hnuC16Rs8ec6vv+hXrP2WVuX7dw=">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</latexit>
21








22




23






24
T
T
T

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Deep Learning Book 17.1-17.3

  • 1.
  • 3. 3 s = Z p(x)f(x)dx = Ep[f(x)] <latexit sha1_base64="p3iWmnah13mHWTfQz2qfcVizHH4=">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</latexit><latexit sha1_base64="p3iWmnah13mHWTfQz2qfcVizHH4=">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</latexit><latexit sha1_base64="p3iWmnah13mHWTfQz2qfcVizHH4=">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</latexit> (17.2)
  • 4. 4 p n (17.3)ˆsn = 1 n nX i=1 f(x(i) ) <latexit sha1_base64="Npq8CLq/sl9SqcNexYXY/3VOzag=">AAAClHichVHLShxBFD22JurExIkuFNwMGQzjZrgtQhJhQBDBlfgaFRxtujs1WtgvumsGtekf8AN04UpBRPIL2YniD7jwE8SlQjZZeKenISSS5DZdde6pe26dqrICR0aK6K5D6+x69bq7pzf3pu/tu/78+4GVyG+EtqjavuOHa5YZCUd6oqqkcsRaEArTtRyxau1Mt9ZXmyKMpO8tq71AbLjmlifr0jYVU0aeatumiiPDSwqVQq0emnasJzFntajhGrGs6Mkmp/XS7mZckmPJmJEvUpnSKLwEegaKyGLez5+jhq/wYaMBFwIeFGMHJiL+1qGDEDC3gZi5kJFM1wUS5Fjb4CrBFSazOzxucbaesR7nrZ5RqrZ5F4f/kJUFjNItXdAj3dA3uqeff+0Vpz1aXvZ4ttpaERj9B8NLP/6rcnlW2P6l+qdnhTo+p14lew9SpnUKu61v7h89Lk0ujsYf6ZQe2P8J3dEln8BrPtlnC2LxGDl+AP3P634JquPlL2VamChOzWUv0YMRfECJr/sTpjCLeVR520N8xxWutSGtok1rM+1SrSPTDOK30OaeAQzNnD4=</latexit><latexit 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  • 5. 5 ˆs<latexit sha1_base64="NiACK1SfjUXm5GtgHd8jHniapmM=">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</latexit><latexit 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sha1_base64="ROTf3e+r312tqb17jrWAZOWjKC4=">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</latexit> V ar[f(x)] n<latexit sha1_base64="4+WuzDq7Prwz4tKXMLtWoO5QsaA=">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</latexit><latexit sha1_base64="4+WuzDq7Prwz4tKXMLtWoO5QsaA=">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</latexit><latexit sha1_base64="4+WuzDq7Prwz4tKXMLtWoO5QsaA=">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</latexit> s<latexit sha1_base64="AqzgrL4XazhnwtGpatZwVQaeDqQ=">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</latexit><latexit sha1_base64="AqzgrL4XazhnwtGpatZwVQaeDqQ=">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</latexit><latexit sha1_base64="AqzgrL4XazhnwtGpatZwVQaeDqQ=">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</latexit>
  • 7. 7 q(x) 
 p(x) q(x) p(x)f(x) = q(x) p(x)f(x) q(x)<latexit sha1_base64="BcB/L5G5BBcuoJQZ33z5pO69tgg=">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</latexit><latexit sha1_base64="BcB/L5G5BBcuoJQZ33z5pO69tgg=">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</latexit><latexit sha1_base64="BcB/L5G5BBcuoJQZ33z5pO69tgg=">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</latexit> (17.8) (17.10) ˆsq = 1 n nX i=1,x(i)⇠q p(x(i) )f(x(i) ) q(x(i)) <latexit sha1_base64="9dzEwuoowUyRyUy29OhHdW0Cicw=">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</latexit><latexit sha1_base64="9dzEwuoowUyRyUy29OhHdW0Cicw=">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</latexit><latexit sha1_base64="9dzEwuoowUyRyUy29OhHdW0Cicw=">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</latexit>
  • 8. 8 q 
 q Ep[f(x)] = Eq[ p(x)f(x) q(x) ] = s <latexit sha1_base64="Zxcg7PecV4tR+2T2fCjyglVOVYY=">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</latexit><latexit sha1_base64="Zxcg7PecV4tR+2T2fCjyglVOVYY=">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</latexit><latexit sha1_base64="Zxcg7PecV4tR+2T2fCjyglVOVYY=">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</latexit> (17.11) V ar[ ˆsq] = 1 n V ar[ p(x(i) )f(x(i) ) q(x(i)) ] <latexit sha1_base64="TSgMynJ9aO6EdewOC/iU25boCbU=">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</latexit><latexit sha1_base64="TSgMynJ9aO6EdewOC/iU25boCbU=">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</latexit><latexit sha1_base64="TSgMynJ9aO6EdewOC/iU25boCbU=">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</latexit> (17.12)
  • 9. q 9 (17.13)q⇤ (x) = p(x)|f(x)| Z<latexit sha1_base64="nDtZ0Ey4kG6XLW0lGBy+XmPrdS4=">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</latexit><latexit sha1_base64="nDtZ0Ey4kG6XLW0lGBy+XmPrdS4=">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</latexit><latexit sha1_base64="nDtZ0Ey4kG6XLW0lGBy+XmPrdS4=">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</latexit> q⇤ <latexit sha1_base64="sojW+TlPwsdsv6SxAlSgsj4c9ww=">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</latexit><latexit sha1_base64="sojW+TlPwsdsv6SxAlSgsj4c9ww=">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</latexit><latexit sha1_base64="sojW+TlPwsdsv6SxAlSgsj4c9ww=">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</latexit>
  • 10. 10 p q (17.14) (17.15) ˆsBIS = Pn i=1 p(x(i) ) q(x(i)) f(x(i) ) Pn i=1 p(x(i)) q(x(i))<latexit sha1_base64="iR7wmliLh9BQl+P3Peab69aaNAE=">AAAC3niclVHPSxtBFH67Wn+ktdnqRehlaVDiJbyUgq0giF70IpqYKhgNs9uJDu6v7k6CZtizIIhHhZ4URKR/Ri/9Bzzk1mvpMYVeevBls2CrtKVvmJlvvnnfm29mrMARkURsa3pf/6OBwaHhzOMnI0+zxrPRt5HfCG1esX3HDzcsFnFHeLwihXT4RhBy5loOX7f2Frr7600eRsL31uRBwLdctuOJurCZJKpmtKq7TKoorqn5pXJszprVeshsVY0a7rbyiBazxbjHBfn9bZUXU/FUrN7fYbP+C/8furhm5LCASZgPQTEFOUhjxTeuoArvwAcbGuACBw8kYQcYRNQ2oQgIAXFboIgLCYlkn0MMGdI2KItTBiN2j8YdWm2mrEfrbs0oUdt0ikM9JKUJE3iD19jBz/gRv+LPP9ZSSY2ulwOarZ6WB7Xs0Xj5xz9VLs0Sdu9Uf/UsoQ6vE6+CvAcJ072F3dM3W6ed8kxpQk3iBX4j/+fYxk90A6/53b5c5aUPkKEPKN5/7oeg8rLwpoCrr3Jzy+lPDMFzeAF5eu5pmINFWIEKHftFG9CymqEz/VA/1k96qbqWasbgt9DPbgFbP7eH</latexit><latexit sha1_base64="iR7wmliLh9BQl+P3Peab69aaNAE=">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</latexit><latexit sha1_base64="iR7wmliLh9BQl+P3Peab69aaNAE=">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</latexit> = Pn i=1 p(x(i) ) ˜q(x(i)) f(x(i) ) Pn i=1 p(x(i)) ˜q(x(i))<latexit sha1_base64="5EcLnEsInySexbLewLfE8+XfwwY=">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</latexit><latexit sha1_base64="5EcLnEsInySexbLewLfE8+XfwwY=">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</latexit><latexit 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sha1_base64="h/kCf/WKAmCx/Q1WvbA2cIiQS3c=">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</latexit><latexit sha1_base64="h/kCf/WKAmCx/Q1WvbA2cIiQS3c=">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</latexit><latexit sha1_base64="h/kCf/WKAmCx/Q1WvbA2cIiQS3c=">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</latexit> (17.16) q p,q
  • 11. 11 q n ! 1<latexit sha1_base64="Liw/MDj7JjC845jHcYpBPuocUo0=">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</latexit><latexit sha1_base64="Liw/MDj7JjC845jHcYpBPuocUo0=">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</latexit><latexit sha1_base64="Liw/MDj7JjC845jHcYpBPuocUo0=">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</latexit> ˆsBIS = Pn i=1 p(x(i) ) q(x(i)) f(x(i) ) Pn i=1 p(x(i)) q(x(i))<latexit sha1_base64="iR7wmliLh9BQl+P3Peab69aaNAE=">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</latexit><latexit sha1_base64="iR7wmliLh9BQl+P3Peab69aaNAE=">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</latexit><latexit sha1_base64="iR7wmliLh9BQl+P3Peab69aaNAE=">AAAC3niclVHPSxtBFH67Wn+ktdnqRehlaVDiJbyUgq0giF70IpqYKhgNs9uJDu6v7k6CZtizIIhHhZ4URKR/Ri/9Bzzk1mvpMYVeevBls2CrtKVvmJlvvnnfm29mrMARkURsa3pf/6OBwaHhzOMnI0+zxrPRt5HfCG1esX3HDzcsFnFHeLwihXT4RhBy5loOX7f2Frr7600eRsL31uRBwLdctuOJurCZJKpmtKq7TKoorqn5pXJszprVeshsVY0a7rbyiBazxbjHBfn9bZUXU/FUrN7fYbP+C/8furhm5LCASZgPQTEFOUhjxTeuoArvwAcbGuACBw8kYQcYRNQ2oQgIAXFboIgLCYlkn0MMGdI2KItTBiN2j8YdWm2mrEfrbs0oUdt0ikM9JKUJE3iD19jBz/gRv+LPP9ZSSY2ulwOarZ6WB7Xs0Xj5xz9VLs0Sdu9Uf/UsoQ6vE6+CvAcJ072F3dM3W6ed8kxpQk3iBX4j/+fYxk90A6/53b5c5aUPkKEPKN5/7oeg8rLwpoCrr3Jzy+lPDMFzeAF5eu5pmINFWIEKHftFG9CymqEz/VA/1k96qbqWasbgt9DPbgFbP7eH</latexit>
  • 12. 12 q q(x) p(x) f(x) q q(x(i) ) ⌧ p(x(i) )|f(x(i) )|<latexit sha1_base64="aRAv2G+Am9fK5UPDaOl8wTU2yH0=">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</latexit><latexit sha1_base64="aRAv2G+Am9fK5UPDaOl8wTU2yH0=">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</latexit><latexit sha1_base64="aRAv2G+Am9fK5UPDaOl8wTU2yH0=">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</latexit> q(x(i) ) p(x(i) )|f(x(i) )|<latexit sha1_base64="5Sqh60i93vj95JPifsSLqsfrHVk=">AAACiXichVFNLwNRFD0d3/VVbCQ2jaZSm+ZWJD5WwsYSVW3io5kZr/ViOjNmpg3KH+AHWFiRiIiVLUsbf8DCTxBLEhsLt9MJQXAn8965591z33nvabYhXY/oIaQ0NDY1t7S2hds7Oru6Iz29S65VdnSR0S3DcnKa6gpDmiLjSc8QOdsRakkzRFbbnKmtZyvCcaVlLno7tlgtqUVTFqSuekzlI/GtxPZaNSGH94ejK8Vi1P5I9wqfMB+JUZL8iP4EqQDEEMScFTnHCtZhQUcZJQiY8BgbUOHyt4wUCDZzq6gy5zCS/rrAPsKsLXOV4AqV2U0ei5wtB6zJea2n66t13sXg32FlFHG6pwt6pju6pEd6+7VX1e9R87LDs1bXCjvffdCffv1XVeLZw8an6k/PHgoY971K9m77TO0Uel1f2T16Tk8uxKtDdEpP7P+EHuiWT2BWXvSzebFwjDA/QOr7df8EmZHkRJLmR2NT08FLtGIAg0jwdY9hCrOYQ4a3PcQVrnGjdCgjyrgyWS9VQoGmD19CmXkHViaWIQ==</latexit><latexit sha1_base64="5Sqh60i93vj95JPifsSLqsfrHVk=">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</latexit><latexit sha1_base64="5Sqh60i93vj95JPifsSLqsfrHVk=">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</latexit> s
  • 13. 13 p(x) 
 x 
 x x p(x) x T(x’|x) 
 x T(x’|x) x’
  • 14. 14 
 q(t) (x)<latexit sha1_base64="sBQ/hWO31W6zPvyOmbH0DzUok/4=">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</latexit><latexit sha1_base64="sBQ/hWO31W6zPvyOmbH0DzUok/4=">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</latexit><latexit sha1_base64="sBQ/hWO31W6zPvyOmbH0DzUok/4=">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</latexit> (17.18)q(t+1) (x0 ) = X x q(t) (x)T(x0 |x) <latexit sha1_base64="Z6aG4EYLpEmKLsJxrKOj6hKFF/g=">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</latexit><latexit sha1_base64="Z6aG4EYLpEmKLsJxrKOj6hKFF/g=">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</latexit><latexit sha1_base64="Z6aG4EYLpEmKLsJxrKOj6hKFF/g=">AAACjXicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQtoFsZVa5RoG2rWalSoayrYKsQUl+bGV1fUgsVBopohQJmaCs14AWUDPQMwUMBkGEIZygxQEJAvsJwhhiGFIZ8hmaGUIZchlSGPoQTIzmFIZCgGwmgGQwYDhgKgWCxDNVCsCMjKBMunMtQycAH1lgJVpQJVJAJFs4FkOpAXDRXNA/JBZhaDdScDbckB4iKgTgUGVYOrBisNPhucMFht8NLgD06zqsFmgNxSCaSTIHpTC+L5uySCvxPUlQukSxgyELrwurmEIY3BAuzWTKDbC8AiIF8kQ/SXVU3/HGwVpFqtZrDI4DXQ/QsNbhocBvogr+xL8tLA1KDZDFzACDBED25MRqiRnqWeQaCJsoMdNCY4GKQZlBg0gMFtzuDA4MEQwBAKtLafYSvDPob9TAJMZkw2TFC1TIxQPcIMKIDJHQB1EZdz</latexit> q(t) ( ) =<latexit sha1_base64="5+74x6In3XLC9bU79im5T95tgb8=">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</latexit><latexit sha1_base64="5+74x6In3XLC9bU79im5T95tgb8=">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</latexit><latexit sha1_base64="5+74x6In3XLC9bU79im5T95tgb8=">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</latexit> q(t) ( ) =<latexit sha1_base64="5+74x6In3XLC9bU79im5T95tgb8=">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</latexit><latexit sha1_base64="5+74x6In3XLC9bU79im5T95tgb8=">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</latexit><latexit sha1_base64="5+74x6In3XLC9bU79im5T95tgb8=">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</latexit> q(t) ( ) =<latexit sha1_base64="5+74x6In3XLC9bU79im5T95tgb8=">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</latexit><latexit sha1_base64="5+74x6In3XLC9bU79im5T95tgb8=">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</latexit><latexit sha1_base64="5+74x6In3XLC9bU79im5T95tgb8=">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</latexit> q0(t+1) ( ) =<latexit sha1_base64="gEu1rGigupsETWRnv6sA9Q/5Z6Q=">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</latexit><latexit sha1_base64="gEu1rGigupsETWRnv6sA9Q/5Z6Q=">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</latexit><latexit sha1_base64="gEu1rGigupsETWRnv6sA9Q/5Z6Q=">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</latexit> q0(t+1) ( ) =<latexit sha1_base64="gEu1rGigupsETWRnv6sA9Q/5Z6Q=">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</latexit><latexit sha1_base64="gEu1rGigupsETWRnv6sA9Q/5Z6Q=">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</latexit><latexit sha1_base64="gEu1rGigupsETWRnv6sA9Q/5Z6Q=">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</latexit> q0(t+1) ( ) =<latexit sha1_base64="gEu1rGigupsETWRnv6sA9Q/5Z6Q=">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</latexit><latexit sha1_base64="gEu1rGigupsETWRnv6sA9Q/5Z6Q=">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</latexit><latexit sha1_base64="gEu1rGigupsETWRnv6sA9Q/5Z6Q=">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</latexit> 0.80 · 0.40 + 0.10 · 0.50 + 0.10 · 0.70 = 0.44<latexit sha1_base64="LG6corjIahKSTyFBOK83wAWJ6Jo=">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</latexit><latexit sha1_base64="LG6corjIahKSTyFBOK83wAWJ6Jo=">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</latexit><latexit sha1_base64="LG6corjIahKSTyFBOK83wAWJ6Jo=">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</latexit> 0.80 · 0.25 + 0.10 · 0.20 + 0.10 · 0.10 = 0.23<latexit sha1_base64="FmdmbnKKu0Cc4MFAazaJB9az5Lo=">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</latexit><latexit sha1_base64="FmdmbnKKu0Cc4MFAazaJB9az5Lo=">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</latexit><latexit sha1_base64="FmdmbnKKu0Cc4MFAazaJB9az5Lo=">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</latexit> 0.80 · 0.35 + 0.10 · 0.30 + 0.10 · 0.20 = 0.33<latexit sha1_base64="/lk8m9sp9bNMK8EF4nbdq8Iu4+A=">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</latexit><latexit sha1_base64="/lk8m9sp9bNMK8EF4nbdq8Iu4+A=">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</latexit><latexit sha1_base64="/lk8m9sp9bNMK8EF4nbdq8Iu4+A=">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</latexit>
  • 15. 15 q v 
 T A 
 
 
 v A Ai,j = T(x0 = i|x = j)<latexit sha1_base64="ZJXnYMddoIX1BmZ3Ky529/7v/4g=">AAACeXichVHLLgRBFD3T3uMxg0gkNhMTDJHJHSQeySQeG0uvQYJMuluh6OnudPdM0PyAH7CwIhHBZ9j4AQufIJYkNhbu9HQiCG6lqk6duufWqSrNNqTrET1GlKrqmtq6+oZoY1NzSyze2rbsWkVHFzndMixnVVNdYUhT5DzpGWLVdoRa0Ayxou3NlPdXSsJxpWUueQe22Cio26bckrrqMZWPd0zlfTm4e5zIJpZS+31ZebSf3e3Px5OUpiASP0EmBEmEMWfFr7COTVjQUUQBAiY8xgZUuNzWkAHBZm4DPnMOIxnsCxwjytoiZwnOUJnd43GbV2sha/K6XNMN1DqfYnB3WJlADz3QNb3QPd3SE73/WssPapS9HPCsVbTCzsdOOhff/lUVePaw86n607OHLYwFXiV7twOmfAu9oi8dnr4sTiz0+L10Qc/s/5we6Y5vYJZe9ct5sXCGKH9A5vtz/wS5ofR4muZHkpPT4U/UowvdSPFzj2ISs5hDjo/1cY4b3EbelW4lpQxUUpVIqGnHl1CGPwBZf5Dl</latexit><latexit sha1_base64="ZJXnYMddoIX1BmZ3Ky529/7v/4g=">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</latexit><latexit sha1_base64="ZJXnYMddoIX1BmZ3Ky529/7v/4g=">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</latexit> (17.19) q(x = i) = vi<latexit sha1_base64="D4GZrzwoMOc6LsUvZQ6bZwS+1Gk=">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</latexit><latexit sha1_base64="D4GZrzwoMOc6LsUvZQ6bZwS+1Gk=">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</latexit><latexit sha1_base64="D4GZrzwoMOc6LsUvZQ6bZwS+1Gk=">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</latexit> (17.17) v(t) = Av(t 1) <latexit sha1_base64="ec6vRg5X9qV/YoFRX8//bA/i0z0=">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</latexit><latexit sha1_base64="ec6vRg5X9qV/YoFRX8//bA/i0z0=">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</latexit><latexit sha1_base64="ec6vRg5X9qV/YoFRX8//bA/i0z0=">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</latexit> (17.20)
  • 16. 16 
 A A (17.21)v(t) = At v(0) <latexit sha1_base64="l0SJxei8gzsL6rmD8/ybWhUkWlQ=">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</latexit><latexit sha1_base64="l0SJxei8gzsL6rmD8/ybWhUkWlQ=">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</latexit><latexit sha1_base64="l0SJxei8gzsL6rmD8/ybWhUkWlQ=">AAACeHichVHLSsNAFD2Nr1ofrY+F4KZafHRTbkXwAYKPjUtfVcFHSeKowTQJybRQS3/AH3DhRgUR9TPc+AMu/ARxqeBCF96kAVFRb8jMuWfuuXNmRnNMw5NEDxGlrr6hsSnaHGtpbWuPJzo6Vz276Ooip9um7a5rqidMwxI5aUhTrDuuUAuaKda0gzl/fa0kXM+wrRVZdsRWQd2zjF1DVyVT+UR3absyLNPV5FRyZlv6CaWr+USKMhRE8ifIhiCFMBbsxCU2sQMbOoooQMCCZGxChcffBrIgOMxtocKcy8gI1gWqiLG2yFWCK1RmD3jc42wjZC3O/Z5eoNZ5F5N/l5VJDNA9XdEz3dENPdL7r70qQQ/fS5lnraYVTj5+1LP8+q+qwLPE/qfqT88SuxgPvBrs3QkY/xR6TV86PH5enlwaqAzSOT2x/zN6oFs+gVV60S8WxdIJYvwA2e/X/RPkRjITGVocTU3Phi8RRS/6MczXPYZpzGMBOd72EKe4wnXkTelThpR0rVSJhJoufAll5APaDpCw</latexit>
  • 17. 17 
 t x x’ v(t) = (V diag( )V 1 )t v(0) = V diag( )t V 1 v(0) <latexit sha1_base64="114UAQ0inwOiE0nNbrqZeuXUw+I=">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</latexit><latexit sha1_base64="114UAQ0inwOiE0nNbrqZeuXUw+I=">AAACr3icSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQt4l8VVa5Ro1tpqhCmkZCama8TkADWnJGqGxVXrGtZqxpUogFQYaNYq2CqgKQHKQVRBVcQLKBvoGYCBAibDEMpQZoCCgHyB5QwxDCkM+QzJDKUMuQypDHkMJUB2DkMiQzEQRjMYMhgwFADFYhmqgWJFQFYmWD6VoZaBC6i3FKgqFagiESiaDSTTgbxoqGgekA8ysxisOxloSw4QFwF1KjCoGlw1WGnw2eCEwWqDlwZ/cJpVDTYD5JZKIJ0E0ZtaEM/fJRH8naCuXCBdwpCB0IXXzSUMaQwWYLdmAt1eABYB+SIZor+savrnYKsg1Wo1g0UGr4HuX2hw0+Aw0Ad5ZV+SlwamBs1m4AJGgCF6cGMyQo30LPUMAk2UHZygMcHBIM2gxKABDG5zBgcGD4YAhlCgtRsZrjM8YHjIZMQUwRTHlABRysQI1SPMgAKYMgH1faPJ</latexit><latexit sha1_base64="114UAQ0inwOiE0nNbrqZeuXUw+I=">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</latexit> (17.22)
  • 18. 18 
 v v0 = Av = v<latexit sha1_base64="MN46aIjDwie/HP62xVQmHtmhE8w=">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</latexit><latexit sha1_base64="MN46aIjDwie/HP62xVQmHtmhE8w=">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</latexit><latexit sha1_base64="MN46aIjDwie/HP62xVQmHtmhE8w=">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</latexit> (17.23)
  • 19. 19 q 
 q 
 q 
 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 q(x) t
  • 20. 20 T 
 
 (17.24)q0 (x0 ) = Ex⇠qT(x0 |x)<latexit sha1_base64="hnuC16Rs8ec6vv+hXrP2WVuX7dw=">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</latexit><latexit sha1_base64="hnuC16Rs8ec6vv+hXrP2WVuX7dw=">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</latexit><latexit sha1_base64="hnuC16Rs8ec6vv+hXrP2WVuX7dw=">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</latexit>