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4JNQMF6OTVQFSWJTFE4VNNBSJ[BUJPO CZ$POUFYUVBM.BUDIJOH จݙ঺հ

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1BQFS ɾ"$- ɾIUUQTXXXBDMXFCPSHBOUIPMPHZ1 ɾQBHFTr

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"CTUSBDU ⾣ͭͷݴޠϞσϧͷΈͷγϯϓϧͳڭࢣͳ͠ੜ੒ܕཁ໿ ⾣ੜ੒ܕཁ໿ɾநग़ܕཁ໿ͷ૒ํͰ༗༻ੑΛࣔͨ͠ ɾ$POUFYUVBMNBUDIJOHNPEFM ɾ%PNBJOqVFODZNPEFM

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*OUSPEVDUJPO ⾣ڭࢣͳ͠ཁ໿ ⾣ෳࡶͳϞσϧɾֶशΛඞཁͱ͠ͳ͍ϞσϧΛఏҊ MFOHUIDPOUSPMMFEWBSJBUJPOBMBVUPFODPEFS HFOFSBUJWFBEWFSTBSJBMOFUXPSL ʜ FH 

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.PEFM ⾣ཁ໿จ͸ɺ࣍ͷͭͷಛੑΛຬ͍ͨͯ͠Δඞཁ͕͋Δ ਖ਼֬ੑ 'BJUIGVMOFTT ݪจͷҙຯͱಉ༷ͷҙຯΛ࣋ͭ ྲྀெੑ 'MVFODZ จ๏తʹਖ਼͘͠ཧղͰ͖Δ P(y|x) ∝ pcm (y|x)pfm (y|x)λ ೖྗจॻ x ཁ໿จ y ਖ਼֬ੑ pcm (y|x) ྲྀெੑ pfm (y|x)

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$POUFYUVBM.BUDIJOH.PEFM ⾣ਖ਼֬ੑೖྗςΩετͱग़ྗ୯ޠͷίαΠϯྨࣅ౓ pcm (y|x) = N ∏ n=1 qcm (yn |y

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$POUFYUVBM.BUDIJOH.PEFM ⾣ॲཧखॱ sω = maxj≥zn−1 Sim(x1:j , ω) ࣍ࣜΑΓ ྨࣅ౓Λܭࢉ zn−1 ʹରԠ෇͘ҐஔҎ͔߱͠ߟྀ͠ͳ͍ zn−1 yn−1 ୯ௐੑͷԾఆ ग़ྗ෼෍ ୯ޠҐஔΛܭࢉ qcm zn ͕ೖྗจॻ຤ඌͱͳΔ·Ͱ܁Γฦ͠ zn

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%PNBJO'MVFODZ.PEFM ⾣ྲྀெੑݴޠϞσϧ֬཰ ೖྗจॻʹదͨ͠ޠΛબ୒͢ΔΑ͏ग़ྗޠኮΛ੍໿ ݴޠϞσϧͷग़ྗޠኮ7ΛϘϩϊΠ෼ׂʹΑΓ੍໿෇͖ޠኮ$ʹϚοϐϯά ͋Δڑ཭্ۭؒͷ೚ҙͷҐஔʹ഑ஔ͞Εͨෳ਺ݸͷ఺ʢ฼఺ʣʹରͯ͠ɺ ಉҰڑ཭্ۭؒͷଞͷ఺͕Ͳͷ฼఺ʹ͍͔ۙʹΑͬͯྖҬ෼͚͞Εͨਤͷ͜ͱɻ IUUQTKBXJLJQFEJBPSHXJLJϘϩϊΠਤ 8JLJQFEJBϘϩϊΠਤ

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%PNBJO'MVFODZ.PEFM ⾣ྲྀெੑݴޠϞσϧ֬཰ pfm (y|x) = N ∏ n=1 ∑ ω′∈N(yn ) lm(ω′|y

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.PEFM ⾣ཁ໿จ͸ɺ࣍ͷͭͷಛੑΛຬ͍ͨͯ͠Δඞཁ͕͋Δ ਖ਼֬ੑ 'BJUIGVMOFTT ݪจͷҙຯͱಉ༷ͷҙຯΛ࣋ͭ ྲྀெੑ 'MVFODZ จ๏తʹਖ਼͘͠ཧղͰ͖Δ P(y|x) ∝ pcm (y|x)pfm (y|x)λ ೖྗจॻ x ཁ໿จ y ਖ਼֬ੑ pcm (y|x) ྲྀெੑ pfm (y|x)

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&YQFSJNFOUBMTFUVQ ⾣.PEFM ⾣%BUBTFU ɾੜ੒ܕཁ໿&OHMJTI(JHBXPSEEBUB 3VTI   ɾநग़ܕཁ໿(PPHMFEBUBTFU 'JMJQQPWB   ɾGPSXBSEMBOHVBHFNPEFMPG&-.P ɾMBZFST-45.NPEFM pcm (y|x) pfm (y|x)

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2VBOUJUBUJWF3FTVMUT 5BCMFੜ੒ܕཁ໿ͷ݁Ռ 5BCMFநग़ܕཁ໿ͷ݁Ռ

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"OBMZTJT ⾣ೖྗจॻͷ୯ޠநग़͚ͩͰͳ͘ ੜ੒Ͱ͖͍ͯΔ

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4VNNBSZ ⾣ͭͷݴޠϞσϧͷΈͷγϯϓϧͳڭࢣͳ͠ੜ੒ܕཁ໿ ⾣ੜ੒ܕཁ໿ɾநग़ܕཁ໿ͷ૒ํͰ༗༻ੑΛࣔͨ͠ ɾ$POUFYUVBMNBUDIJOHNPEFM ɾ%PNBJOqVFODZNPEFM

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