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(PPHMF$PMBCͰࢼ͢
,FSBTΛͬͨը૾ೝࣝ
ୈճԬ*5։ൃऀษڧձ /%4
!LBTBDDIJGVM
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ࣗݾհ
w ּݪ !LBTBDDIJGVM
w ৽ׁࢢࡏॅ
w 3VCZ͕͓ؾʹೖΓ ࠓճ1ZUIPOͰ͢
w +B445৽ׁ࣮ߦҕһ
w લճ /%4
ػցֶशωλɺࠓճػցֶशωλ
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એ
ͭ
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ςετઃܭίϯςετ`
౦ژνϡʔτϦΞϧ
w "45&3ʢιϑτΣΞςετٕज़ৼڵڠձʣओ࠵
w ͷ+B445`5PLZP͔Βຖ։࠵ʢ৽ׁͷνʔϜ͕༏উʣ
w ৽ׁɺઋɺࢁɺԬͷαςϥΠτձͰϥΠϒ৴
w ৽ׁձʮ1SPUPUZQF$BGFʯʢ৽ׁӺೆޱ͔Βెาʣ
w ॳ৺ऀ͚ʲ6Ϋϥεʳ Ր
։࢝
w IUUQTBTUFSDPOOQBTTDPNFWFOU
w ॳɾதڃऀ͚ʲ01&/Ϋϥεʳ ۚ
։࢝
w IUUQTBTUFSDPOOQBTTDPNFWFOU
w νϡʔτϦΞϧྸΘͣɺίϯςετʹग़͠ͳ͍ํͰͲͳͨͰࢀՃՄೳ
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1ZUIPOػցֶशษڧձJO৽ׁ
w
Ϋϩεύϧ৽ׁߨ࠲ࣨ
w IUUQTQZNMOJJHBUBDPOOQBTTDPNFWFOU
w ୈ෦ೖฤ
w 1ZUIPOೖ JUBHBLJN
w ୈ෦ػցֶशฤ
w νϡʔτϦΞϧଓ͖ʢӳจςΩετͷײੳʣ JUBHBLJN
w ਂֶशͰԻָੜ JUBHBLJN
w ଞ
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+"846(/JJHBUB
։࠵ܾఆʂ
IUUQTKBXTVHOJJHBUBDPOOQBTTDPN
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ຊ
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લճͷൃදʹؔ͢ΔπΠʔτ
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ࠓճͷ༰
ࠓճ࡞͢Δը૾ݕग़σϞͷ֓ཁ
(PPHMF$PMBC্Ͱɺ5FOTPS'MPX ,FSBTͰֶश
,FSBTͰֶशͨ͠ϞσϧΛͬͯਪ
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ࠓճͷ༰
ࠓճ࡞͢Δը૾ݕग़σϞͷ֓ཁ
(PPHMF$PMBC্Ͱɺ5FOTPS'MPX ,FSBTͰֶश
,FSBTͰֶशͨ͠ϞσϧΛͬͯਪ
ຊൃදͷ
ओͳ༰
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ࠓճͷ༰
ࠓճ࡞͢Δը૾ݕग़σϞͷ֓ཁ
(PPHMF$PMBC্Ͱɺ5FOTPS'MPX ,FSBTͰֶश
,FSBTͰֶशͨ͠ϞσϧΛͬͯਪ
ͪ͜Β$PMBC্Ͱ
ਪΛ؆୯ʹࢼ͠·͢
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ࠓճͷ༰
ࠓճ࡞͢Δը૾ݕग़σϞͷ֓ཁ
(PPHMF$PMBC্Ͱɺ5FOTPS'MPX ,FSBTͰֶश
,FSBTͰֶशͨ͠ϞσϧΛͬͯਪ
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σϞ֓ཁ
w ը૾ྨΛߦ͍·͢ɻ
w ʮڭࢣ͋Γֶशʯͷʮྨʯ
w ը૾ͷྨΫϥεछྨ
w ֶशࡁϞσϧΛνϡʔχϯάͯ͠ɺগͳ͍ը૾σʔλͰ
ͦΕͳΓͷਫ਼Λग़ͯ͠ΈΔ
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σϞͷશମਤ
ਖ਼ղϥϕϧ
ֶशը૾σʔλ
ֶश ਪ
ֶशࡁ
Ϟσϧ
ະͷ
ը૾σʔλ
7((
Ϟσϧ
ఆ
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ิ
w ࠓճͷը૾ྨͷΈɺ"[VSFͷ$VTUPN7JTJPO"1*
ɺ*#.$MPVEͷ7JTVBM3FDPHOJUJPOͰఏڙ͞Ε͍ͯ
·͢ɻ
w ಠࣗʹ࣮͢ΔͱͲ͏ͳΔͷ͔ΛݟͯΒ͑Ε
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ػցֶशͷछྨ
w ڭࢣ͋Γֶश
w ڭࢣͳֶ͠श
w ڧԽֶश
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ڭࢣ͋Γֶश
w ֶशσʔλʹʮਖ਼ղʯͱͳΔڭࢣσʔλ͕͍͍ͭͯΔ
w ྨ
w ະͷσʔλΛɺ͍͔ͭ͘ͷΫϥεʢΧςΰϦʣʹྨ͢Δ
w తม͕ʮ࣭తมʯʢΧςΰϦมʣͰ͋Δͷ
w ྫɿਓͷإͷը૾͔ΒʮੑผʯΛఆ͢Δ
w ճؼ
w ະͷσʔλ͔ΒɺΛ༧ଌ͢Δ
w తม͕ʮྔతมʯʢʣͰ͋Δͷ
w ྫɿਓͷإͷը૾͔ΒʮྸʯΛఆ͢Δ
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ڭࢣ͋Γֶश
ΓΜ͝ όφφ
ೣ ݘ
ֶशσʔλ
ֶशɹ
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ڭࢣ͋Γֶश
ΓΜ͝ όφφ
ೣ ݘ
Ͳͷྨʹͯ·Δ͔ʁ
ਪɹ
ະͷը૾σʔλ
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ڭࢣͳֶ͠श
w ֶशσʔλʹʮਖ਼ղʯͱͳΔڭࢣσʔλ͕͍͍ͭͯͳ͍
w ΫϥελϦϯάมॖͳͲʹΘΕΔ
w ओੳɺҼࢠੳɺLNFBOT๏ɺFUD
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ڭࢣͳֶ͠श
ֶशσʔλ
ֶशɹ
άϧʔϓͷݸΛܾΊͯɺ
ಛ͕ࣅ͍ͯΔͷΛ·ͱΊΔ
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ڭࢣͳֶ͠श
" #
$ %
Ͳͷάϧʔϓʹ͍͔ۙ
ਪɹ
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σϞͷશମਤ
ਖ਼ղϥϕϧ
ֶशը૾σʔλ
ֶश ਪ
ֶशࡁ
Ϟσϧ
ະͷ
ը૾σʔλ
7((
Ϟσϧ
ఆ
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(PPHMF$PMBCPSBUPSZ
w IUUQTDPMBCSFTFBSDIHPPHMFDPN
w +VQZUFSOPUFCPPLͬΆ͑͘ΔαʔϏε
w +VQZUFSOPUFCPPLʹ͍ͭͯɺ/%4ͷʮࢲ͕ΈΜͳʹ͓͢͢Ί͢Δ+VQZUFSΛͬͨ
ίʔυͷهʯ !DJWJD
Λࢀর
wແྉͰ(16͕͑Δ /7*%*"5FTMB,
w࡞ͨ͠ϊʔτϒοΫ(PPHMF%SJWFʹอଘ͞ΕΔ
wϧʔϧͱ࣌ؒϧʔϧʹҙ
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,FSBT
w σΟʔϓϥʔχϯάͰΑ͘͏ػೳΛ͍ͨ͘͢͠ɺ
1ZUIPOͷϥούʔϥΠϒϥϦ
w 5FOTPS'MPXʗ$/5,ʗ5IFBOPͳͲ
w σϑΥϧτ5FOTPS'MPXΛόοΫΤϯυʹ͏
w ,FSBTͰ࡞ֶͨ͠शࡁϞσϧΛɺ5FOTPS'MPXͷֶशࡁ
Ϟσϧʹม͢Δπʔϧɺ$PSF.-Ϟσϧʹม͢Δͨ
Ίͷπʔϧ͕͋Δ
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w χϡʔϥϧωοτϫʔΫͷ͕ଟ͍ͷʢҎ্ʣ
σΟʔϓϥʔχϯά
ೖྗ ग़ྗ
தؒʢӅΕʣ
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χϡʔϥϧωοτϫʔΫ
w γφϓεͷ݁߹ʹΑͬͯωοτϫʔΫΛܗͨ͠ਓχϡʔ
ϩϯʢϊʔυʣ͕ɺֶशʹΑͬͯ݁߹ڧʢॏΈʣΛม
Խͤͯ͞ղܾΛߦ͏ػցֶशϞσϧ
x1
x2
= 1
x0
w0
w1
w2
h y
y = h(
n−1
∑
i=0
xi
wi
+ wn)
୯७ύʔηϓτϩϯ
׆ੑԽؔɺ
εςοϓؔγάϞΠυ͕ؔॳΘΕ͍͕ͯͨɺ
σΟʔϓϥʔχϯάͰ3F-6͕ओʹΘΕΔɻ
h
h(x) = {
1 (x > 0)
0 (otherwise)
εςοϓؔ
h(x) = {
x (x > 0)
0 (otherwise)
3F-6
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σΟʔϓϥʔχϯά
w ػցֶशͷख๏ͷͭ
w ୈ࣍"*ϒʔϜͷՐ͚
w *-473$ *NBHF/FU-BSHF4DBMF7JTVBM3FDPHOJUJPO$IBMMFOHF
ͱ͍͏*NBHF/FUΛར༻ͨ͠ը૾ೝࣝίϯςετͰɺʹͷ
$//Λͬͨʮ"MFY/FUʯ͕ѹউ લˠ"MFY/FU
w ʹʮ3FT/FUʯ͕ޡΓͰ༏উɻਓؒͷޡΓ
Λ
্ճΔɻˠਓ͕ؒݟམͱ͢ը૾ͰɺఆͰ͖Δ
w ݱࡏͰɺը૾ೝ͚ࣝͩͰͳ͘Իղੳɺࣗવݴޠॲཧɺը૾ੜͳ
Ͳ෯͘Ԡ༻͞Ε͍ͯΔɻ
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ࠐΈχϡʔϥϧωοτϫʔΫ
$POWPMVUJPOBM/FVSBM/FUXPSL
w ը૾ೝࣝɺମݕग़ͳͲΛಘҙͱ͢Δ
w ΈࠐΈ $POWPMVUJPO-BZFS
ɺϓʔϦϯά
1PPMJOH-BZFS
Ͱಛநग़͠ɺग़ྗଆͷશ݁߹Ͱྨ
w ΈࠐΈͷϑΟϧλͷॏΈͱશ݁߹ͷॏΈֶ͕शʹΑͬ
ܾͯఆ͞Ε͍ͯ͘
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ΈࠐΈ
w ݩը૾͔ΒϑΟϧλΛ௨ͯ͠ಛΛநग़
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
0 1 0
1 1 1
0 1 0
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
0 1 0
1 1 1
0 1 0
35
ಛϚοϓ͕
ੜ͞ΕΔ
ೖྗ
ϑΟϧλ
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ΈࠐΈ
w ݩը૾͔ΒϑΟϧλΛ௨ͯ͠ಛΛநग़
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
0 1 0
1 1 1
0 1 0
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
0 1 0
1 1 1
0 1 0
35 40
ಛϚοϓ͕
ੜ͞ΕΔ
ೖྗ
ϑΟϧλ
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ΈࠐΈ
w ݩը૾͔ΒϑΟϧλΛ௨ͯ͠ಛΛநग़
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
0 1 0
1 1 1
0 1 0
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
0 1 0
1 1 1
0 1 0
35 40 45
ಛϚοϓ͕
ੜ͞ΕΔ
ೖྗ
ϑΟϧλ
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ΈࠐΈ
w ݩը૾͔ΒϑΟϧλΛ௨ͯ͠ಛΛநग़
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
0 1 0
1 1 1
0 1 0
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
0 1 0
1 1 1
0 1 0
35 40 45
60
ಛϚοϓ͕
ੜ͞ΕΔ
ೖྗ
ϑΟϧλ
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ϓʔϦϯά
w ೖྗσʔλΛѻ͍͍͢ܗʹ͢Δ
w ඍখͳҐஔมԽʹڧ͘ͳͬͨΓɺաֶशΛ͑ͨΓɺܭ
ࢉίετΛ͑ͨΓ
w .BY1PPMJOH"WFSBHF1PPMJOHͳͲ͕͋Δ
1 2 3 4
6 7 8 9
11 12 13 14
16 17 18 19
ೖྗ
7 9
17 19
.BY1PPMJOH
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ࠓճ༻͢ΔϞσϧ 7((
w 7JTVBM(FPNFUSZ(SPVQ͕࡞ͨ͠$//
w *-473$ͰΘΕͨɺΫϥεͷը૾ྨΛߦ͏
w *-473$ʹͯɺྨޡΓ
w ΈࠐΈɺશ݁߹
w ߏ͕Θ͔Γ͍͢
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w ΈࠐΈɺશ݁߹
w ೖྗɺºͷνϟϯωϧ 3(#
7((ͷߏ
ΈࠐΈ ϓʔϦϯά શ݁߹
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ࠓճֶश͢Δͷ
w ҎԼͷը૾ྨΛߦ͏ʢֶशը૾σʔλຕºछྨʣ
w ஂࢠ
w ֟ͷछ
w ΠλϦΞϯʢΈ͔͖ͮͱϑϨϯυ͚ͯ·ͤΜʣ
w όεηϯλʔͷΧϨʔ
w 7((ͷ*NBHF/FUֶशࡁϞσϧΛϑΝΠϯνϡʔχϯάͯ͠
ֶश
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w શ݁߹ͱ൪ͷϒϩοΫͷΛ࠶ֶश
w ͦΕҎ֎ͦͷ··༻͢Δ
ϑΝΠϯνϡʔχϯά
܇࿅σʔλʹ߹Θͤͯ࠶ֶश
ֶशࡁͷॏΈΛͦͷ··͏
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ࠓճͷ༰
ࠓճ࡞͢Δը૾ݕग़σϞͷ֓ཁ
(PPHMF$PMBC্Ͱɺ5FOTPS'MPX ,FSBTͰֶश
,FSBTͰֶशͨ͠ϞσϧΛͬͯਪ
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࣮ࡍʹֶशͯ͠ΈΑ͏
ਖ਼ղϥϕϧ
ֶशը૾σʔλ
ֶश ਪ
ֶशࡁ
Ϟσϧ
ະͷ
ը૾σʔλ
7((
Ϟσϧ
ఆ
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ࠓճͷ༰
ࠓճ࡞͢Δը૾ݕग़σϞͷ֓ཁ
(PPHMF$PMBC্Ͱɺ5FOTPS'MPX ,FSBTͰֶश
,FSBTͰֶशͨ͠ϞσϧΛͬͯਪ
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࣮ࡍʹਪͯ͠ΈΑ͏
ਖ਼ղϥϕϧ
ֶशը૾σʔλ
ֶश ਪ
ֶशࡁ
Ϟσϧ
ະͷ
ը૾σʔλ
7((
Ϟσϧ
ఆ
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ΤοδσόΠεଆͰͷਪ
w Ұൠతʹɺਪ༻ʹ3&45"1*αʔόΛ༻ҙͯ͠ɺ"1*
Λίʔϧ͢Δ
w ωοτϫʔΫԆ͕େ͖ͯ͘ϨεϙϯεʹӨڹ͢ΔͳΒɺ
ΤοδσόΠεଆͰਪͤ͞Δͷख
w 5FOTPS'MPX͕"OESPJE3BTQCFSSZ1JʹରԠ͍ͯ͠Δͷ
Ͱɺ,FSBTͷֶशࡁϞσϧΛม͢Δ͜ͱͰར༻Մೳ
w 5FOTPS'MPXKTΛ͑ɺ+BWB4DSJQUͰਪՄೳ
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J04ΞϓϦͰͷਪ
w DPSFNMUPPMTΛͬͯɺ,FSBTͰ࡞ֶͨ͠शࡁϞσϧΛ
$PSF.-Ϟσϧʹมͯ͠ɺJ04ΞϓϦʹΈࠐΈ·͢
w 04$৽ׁ
Ͱൃද༧ఆ
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·ͱΊ
w (PPHMF$PMBCɺػցֶशɾσΟʔϓϥʔχϯάͷֶश༻్ͱͯ͠ɺ
ඇৗʹ؆୯ʹར༻Ͱ͖Δڥ
w ͔͠(16͕ແྉͰ͑Δʂ
w ׳Εͳ͍ͱɺϑΝΠϧڞ༗͕໘
w ,FSBTΛ͑ɺσΟʔϓϥʔχϯάΛൺֱతָʹ࣮Ͱ͖Δ
w σʔλ͕গͳͯ͘ɺసҠֶशʗϑΝΠϯνϡʔχϯάͰਫ਼Λ͋Δ
ఔग़ͤΔ
w Τοδਪͷڥ͍ͭͭ͋Δ