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### generated on: Tue Feb 07 09:44:26 EST 2012   ###
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prop.dispname.numberofsamplepoints=\u30B5\u30F3\u30D7\u30EA\u30F3\u30B0\u70B9\u306E\u6570
dispname=Importance Sampling
desc=Importance Sampling
prop.dispname.correctformestimate=FORM \u63A8\u5B9A\u3092\u4FEE\u6B63\u3059\u308B
prop.dispname.finitedifferencestepsize=\u6709\u9650\u5DEE\u5206\u30B9\u30C6\u30C3\u30D7\u30B5\u30A4\u30BA
prop.dispname.fixedrandomseed=\u4E71\u6570\u306E\u7A2E\u3092\u56FA\u5B9A\u3059\u308B
prop.dispname.mppmaxiterations=MPP \u6700\u5927\u30A4\u30BF\u30EC\u30FC\u30B7\u30E7\u30F3\u6570
longdesc=<b>Importance Sampling Reliability Method</b><br><br> <i>Importance sampling</i> \u306F Monte Carlo \u4FE1\u983C\u6027\u89E3\u6790\u65B9\u6CD5\u306E 1 \u30BF\u30A4\u30D7\u3067\u3001\u5143\u306E\u5206\u5E03\u3068\u306F\u7570\u306A\u308B\u5206\u5E03\u3092\u4F7F\u7528\u3057\u3066\u7834\u640D\u78BA\u7387\u3092\u3088\u308A\u52B9\u7387\u3088\u304F\u8A08\u7B97\u3057\u307E\u3059\u30021 \u3064\u4EE5\u4E0A\u306E\u7279\u5B9A\u306E\u78BA\u7387\u5909\u6570\u306B\u3064\u3044\u3066\u3001\u69CB\u9020\u4FE1\u983C\u6027\u89E3\u6790\u306B\u304A\u3051\u308B\u76EE\u7684\u306F\u3001\u4E0D\u78BA\u5B9A\u306A\u78BA\u7387\uFF08\u5165\u529B\uFF09\u5909\u6570\u306E\u5909\u5316\u306B\u8D77\u56E0\u3059\u308B\uFF08\u51FA\u529B\uFF09\u5909\u52D5\u306B\u3088\u3063\u3066\u3082\u305F\u3089\u3055\u308C\u308B\u3001\u69CB\u9020\u4E0A\u306E\u30B3\u30F3\u30DD\u30FC\u30CD\u30F3\u30C8\u3084\u30B7\u30B9\u30C6\u30E0\u306E <i>\u7834\u640D\u78BA\u7387</i> \u3001\u3064\u307E\u308A\u5236\u7D04\u6761\u4EF6\u304B\u3089\u9038\u8131\u3059\u308B\u78BA\u7387\u3092\u8A55\u4FA1\u3059\u308B\u3053\u3068\u3067\u3059\u3002\u69CB\u9020\u4FE1\u983C\u6027\u89E3\u6790\u306F\u3057\u305F\u304C\u3063\u3066\u3001\u5236\u7D04\u6761\u4EF6\u3092\u6E80\u305F\u3059\u78BA\u7387\u3067\u3042\u308B\u3068\u5B9A\u7FA9\u3055\u308C\u3001"1-\u7834\u640D\u78BA\u7387"\u3068\u540C\u7B49\u3067\u3059\u3002<br><br>Importance Sampling \u306F\u3001FORM \u306E\u3088\u3046\u306B Most Probable Point (\u6A19\u6E96\u6B63\u898F\u7A7A\u9593\u5185\u306E\u8A2D\u8A08\u70B9\u306B\u6700\u3082\u8FD1\u3044\u5236\u7D04\u4E0A\u306E\u70B9) \u3092\u8A08\u7B97\u3057\u307E\u3059\u3002<b>U</b>=T(<b>X</b>)\u3092\u4F7F\u7528\u3057\u3066\u30AA\u30EA\u30B8\u30CA\u30EB\u8A2D\u8A08\u7A7A\u9593 <b>X</b> (X- \u7A7A\u9593) \u3092\u6A19\u6E96\u306E\u76F8\u95A2\u95A2\u4FC2\u306E\u306A\u3044\u6B63\u898F\u5316\u7A7A\u9593\u3078\u30DE\u30C3\u30D7\u3059\u308B\u305F\u3081\u306E\u5909\u63DB\u304C\u884C\u308F\u308C\u307E\u3059\u3002<br><br>Importance Sampling \u306F\u3001Mean Value Point (MVP) \u3092\u4F7F\u7528\u3059\u308B\u5F93\u6765\u306E Monte Carlo \u6CD5\u3068\u306F\u7570\u306A\u308A\u3001MPP \u306E\u5468\u308A\u306B\u8A2D\u8A08\u7FA4\u3092\u751F\u6210\u3057\u3001\u7834\u640D\u78BA\u7387\u3092\u8A08\u7B97\u3057\u307E\u3059\u3002\u8A00\u3044\u63DB\u3048\u308B\u3068\u3001\u65B0\u3057\u3044\u30B5\u30F3\u30D7\u30EA\u30F3\u30B0\u5BC6\u5EA6\u95A2\u6570\u306E\u5E73\u5747\u5024\u306F MPP \u3068\u306A\u308A\u3001\u5206\u6563\u306F\u5143\u306E\u5BC6\u5EA6\u95A2\u6570\u3068\u540C\u3058\u306B\u306A\u308A\u307E\u3059\u3002\u03C6(\u03BC, \u03C3, x) \u304C\u6A19\u6E96\u6B63\u898F\u78BA\u7387\u5BC6\u5EA6\u95A2\u6570 (pdf) \u3067\u3042\u308B\u5834\u5408 (\u03BC \u306F\u5E73\u5747\u3001\u03C3<sup>2</sup> \u306F\u5206\u6563)\u3001\u30B5\u30F3\u30D7\u30EB\u30BB\u30C3\u30C8\u306E pdf \u306F \u03C6(MPP, \u03C3, x)\u3001\u5143\u306E\u554F\u984C\u306F \u03C6(MVP, \u03C3, x) \u306B\u306A\u308A\u307E\u3059\u3002<br><br>Simple Importance Sampling \u306F\u6B21\u306E\u3088\u3046\u306B\u7834\u640D\u78BA\u7387\u3092\u8A08\u7B97\u3057\u307E\u3059\u3002<br>P<sub>f</sub> = (1/N) \u03A3<sup>N</sup><sub>i=1</sub> I(x<sub>i</sub>) \u03C6(MVP,\u03C3, x<sub>i</sub>) = (1/N) \u03A3<sup>N</sup><sub>i=1</sub> I(y<sub>i</sub>) \u03C6(MVP,\u03C3, y<sub>i</sub>) / \u03C6(MPP,\u03C3, y<sub>i</sub>) <br>\u3053\u3053\u3067 x<sub>i</sub> \u306F MVP \u306E\u5468\u308A\u304B\u3089\u53D6\u308A\u51FA\u3055\u308C\u305F N \u500B\u306E\u30B5\u30F3\u30D7\u30EB\u3001y<sub>i</sub> \u306F MPP \u306E\u5468\u308A\u304B\u3089\u53D6\u308A\u51FA\u3055\u308C\u305F N \u500B\u306E\u30B5\u30F3\u30D7\u30EB\u3001I(x or y) \u306F g(x or y) < 0 \u306E\u3068\u304D\u306B 1\u3001\u305D\u308C\u4EE5\u5916\u3067\u306F 0 \u306B\u306A\u308B\u6307\u793A\u95A2\u6570\u3067\u3059\u3002<br><br>FORM \u3067\u306F\u6B21\u306E\u3088\u3046\u306B\u7834\u640D\u95A2\u6570\u8868\u9762\u306E\u7DDA\u5F62\u8FD1\u4F3C\u3092\u4F7F\u7528\u3057\u3066\u7834\u640D\u78BA\u7387\u3092\u8A08\u7B97\u3057\u307E\u3059\u3002<br>P<sub>f, FORM</sub> = \u03A6(-\u03B2) <br>\u3053\u3053\u3067\u3001\u03A6 \u306F\u6A19\u6E96\u6B63\u898F\u5206\u5E03\u95A2\u6570\u3001\u03B2 \u306F MPP \u307E\u3067\u306E\u8DDD\u96E2\u3067\u3059\u3002\u3082\u3057\u7834\u640D\u95A2\u6570\u304C\u975E\u7DDA\u5F62\u3001\u307E\u305F\u306F\u78BA\u7387\u5909\u6570\u304C\u6B63\u898F\u5206\u5E03\u3067\u306F\u306A\u3044\u5834\u5408\u3001Importance Sampling \u3092\u4F7F\u7528\u3059\u308B\u3053\u3068\u306B\u3088\u3063\u3066\u6B21\u306E\u3088\u3046\u306B FORM \u306E\u7D50\u679C\u3092\u4FEE\u6B63\u3059\u308B\u3053\u3068\u304C\u3067\u304D\u307E\u3059\u3002<br>P<sub>f</sub> = P<sub>f, FORM</sub> + (1/N) \u03A3<sup>N</sup><sub>i=1</sub>( I(y<sub>i</sub>)- I<sub>FORM</sub>(y<sub>i</sub>)) \u03C6(MVP,\u03C3, y<sub>i</sub>) / \u03C6(MPP,\u03C3, y<sub>i</sub>) <br>\u3053\u3053\u3067\u3001I<sub>FORM</sub>(y) \u306F FORM \u304C\u4F7F\u7528\u3057\u3066\u3044\u308B\u7DDA\u5F62\u8FD1\u4F3C\u306E\u6307\u793A\u95A2\u6570\u3067\u3059\u3002<br><br>Adaptive Importance Sampling \u306F\u4E3B\u306B\u7834\u640D\u9818\u57DF\u304B\u3089\u30B5\u30F3\u30D7\u30EA\u30F3\u30B0\u3092\u884C\u3044\u3001\u7834\u640D\u78BA\u7387\u3092\u8A08\u7B97\u3057\u307E\u3059\u3002\u7834\u640D\u9818\u57DF\u306F SORM \u306E\u3088\u3046\u306B\u4E3B\u66F2\u7387\u3092\u4F7F\u3063\u3066 2 \u6B21\u591A\u9805\u5F0F\u306B\u3088\u3063\u3066\u8FD1\u4F3C\u3055\u308C\u307E\u3059\u3002\u66F2\u7387\u5024\u306F\u7834\u640D\u9818\u57DF\u3092\u30AB\u30D0\u30FC\u3059\u308B\u305F\u3081\u306B\u7E70\u308A\u8FD4\u3057\u66F4\u65B0\u3055\u308C\u307E\u3059\u3002
prop.dispname.randomseed=\u4E71\u6570\u306E\u7A2E\u306E\u5024
prop.dispname.aismaxiterations=AIS \u6700\u5927\u30A4\u30BF\u30EC\u30FC\u30B7\u30E7\u30F3\u6570
prop.dispname.minimumfinitedifferencestep=\u6700\u5C0F\u6709\u9650\u5DEE\u5206\u30B9\u30C6\u30C3\u30D7
prop.dispname.importancesamplingmethod=Importance Sampling Method
prop.dispname.mpprelconvergence=MPP \u76F8\u5BFE\u53CE\u675F
prop.dispname.mppabsconvergence=MPP \u7D76\u5BFE\u53CE\u675F
