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/FUXPSL1SVOJOHɿࢬמΓख๏ͷαʔϕΠ
খᖛେɼฏཌྷɼࢁԼོٛɼ౻٢߂ʢத෦େֶɾػց֮ϩϘςΟΫεݚڀάϧʔϓʣ
IUUQNQSHKQ
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w ωοτϫʔΫͷܰྔԽɾߴԽख๏ʹ͍ͭͯ
w 1SVOJOHͷ֓ཁ
w 6OTUSVDUVSFE1SVOJOH
w $//4USVDUVSFE1SVOJOH
w 5SBOTGPSNFS4USVDUVSFE1SVOJOH
w ·ͱΊ
αʔϕΠɿ࣍
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χϡʔϥϧωοτϫʔΫͷܰྔԽɾߴԽ
ܰྔԽɾߴԽ
,OPXMFEHF
%JTUJMMBUJPO
-PXSBOL
%FDPNQPTJUJPO
2VBOUJ[BUJPO
1SVOJOH
)BSEXBSF
ͳॏΈΛআ
ॏΈΛදݱ͢Δ
ϏοτΛݮ
େ͖ͳϞσϧͷग़ྗΛ
খ͞ͳϞσϧͷֶशʹར༻
ܭࢉػʹΑΔܭࢉ
ΞϧΰϦζϜΛ࠷దԽ
w 4USVDUVSFE1SVOJOH
w 6OTUSVDUVSFE1SVOJOH
w 2VBOUJ[BUJPOBXBSF5SBJOJOH
w 1PTUUSBJOJOH2VBOUJ[BUJPO
w -PPLVQ5BCMF
w $PNQVUBUJPO3FVTF
w .FNPSZ0QUJNJ[BUJPO
w 3FTQPOTFCBTFE,OPXMFEHF
w 'FBUVSFCBTFE,OPXMFEHF
w 3FMBUJPOCBTFE,OPXMFEHF
w 4UBDLFE#PUUMFOFDL'FBUVSFT
ಛҟղΛԠ༻ͯ͠
ߦྻΛখ͞ͳߦྻʹղ
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w ີͳϞσϧʹؚ·ΕΔͳॏΈΛআʢࢬמΓʣ͢Δٕज़
%//ͷϞσϧαΠζΛతʹݮ͢Δ͜ͱ͕Մೳ
w ֶతͳදݱ
1SVOJOHॏΈ ʹରͯ͠όΠφϦϚεΫ Λ͔͚Δ͜ͱͱಉٛ
W M
1SVOJOH
M* = argmin L(f(W ⊙ M; x), y)
1SVOJOH
W =
w1,1
w1,2
w1,3
w2,1
w2,2
w2,3
w3,1
w3,2
w3,3
w4,1
w4,2
w4,3
W′

= W ⊙ M =
0 w1,2
0
0 0 w2,3
w3,1
0 0
w4,1
w4,2
0
W′

W
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͞Ε࢝Ίͨ%//ͷѹॖٕज़
%//ͷࢬמΓͱѹॖख๏ʹؔ͢Δจ<$IFOH
BS9JW`>
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w ਓͷ֊త͔ͭϦΧϨϯτͳߏ<'SJTUPO
1-04`>
%//ͷͭؼೲతόΠΞεͱͷྨࣅੑΛ֬ೝ
w ਆܦͦͷਆܦͷ͕ଟ͍΄ͲεύʔεʹͳΔ<)FSDVMBOP)PV[FM
1/"4`>
͢Δॳظஈ֊Ͱඇৗʹଟ͘ͷਆܦ͕ࢬמΓ͞ΕͯޙͰ҆ఆ
w શʹͨ͠ޙ࠷େͰຖˋͷγφϓε͕มԽ<)BXLJOT
*&&&`>
ੜͷγφϓεΛ฿͢Δ%//ʹ͓͍ͯύϥϝʔλݮΛݚڀ͢Δ͜ͱࣗવ
ࢬמΓͱੜֶͱͷΞφϩδʔ
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w 2࠷ॳ͔Βখ͞ͳϞσϧΛֶशͤͯ͞΄͏͕ྑ͍ͷͰʁ
w "͍͍͑
ॏΈ͕աʹ͋Δঢ়ଶʢΦʔόʔύϥϝʔλʣͰͷֶशΑΓྑ͍ॏΈ͕ٻ·Γ͍͔͢Β
ܦݧతͳࠜڌ
ΦʔόʔύϥϝʔλԽ͞ΕͨϞσϧ4(%ʹΑΔ࠷దԽ͕༰қ<(MPSPU
"*45"54`>
ΦʔόʔύϥϝʔλʹΑͬͯతؔڧ͍ತੑΛࣔ͢<#SVU[LVT
*$-3` %V
*$-3>
ཧతͳࠜڌ
ֶशμΠφϛΫεͱ൚Խੑೳ͕Φʔόʔύϥϝʔλʹґଘ<"MMFO;IV
*$.-` /FZTIBCVS
*$-3`>
ࢬמΓʹؔ͢ΔΑ͋͘Δ࣭
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w 6OTUSVDUVSFE1SVOJOHWT4USVDUVSFE1SVOJOH
̎छྨͷࢬמΓํ๏
W
6OTUSVDUVSFE W′

=
0 w1,2
w1,3
0 0 w2,3
w3,1
0 0
w4,1
w4,2
0
W′

ॏΈߦྻͷཁૉ୯ҐͰࢬמΓ
4USVDUVSFE W′

=
0 w1,2
w1,3
0 0 0
0 w3,2
w3,3
0 w4,2
w4,3
W′

′

=
w1,2
w1,3
w3,2
w3,3
w4,2
w4,3
W′

ॏΈߦྻͷߦྻʹԊͬͯࢬמΓ
W =
w1,1
w1,2
w1,3
w2,1
w2,2
w2,3
w3,1
w3,2
w3,3
w4,1
w4,2
w4,3
ܭࢉྔ
ܭࢉྔ
ܭࢉྔ ܭࢉྔ
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w ॏΈΛআ͢ΔॴʹΑͬͯޮՌ͕ҟͳΔ
w 6OTUSVDUVSFE1SVOJOH
ॏΈߦྻͷཁૉ୯ҐͰࢬמΓ
4USVDUVSFE1SVOJOHͱൺֱͯ͠ੑೳΛҡ͍࣋͢͠<:BP
"""*`>
👎εύʔεͳߦྻ͕ੜ͞ΕΔͨΊߴԽ͕͍͠
w 4USVDUVSFE1SVOJOH
ॏΈߦྻͷ࣍ݩʹԊͬͯॏΈΛࢬמΓ
👍(16ͳͲʹΑΔߴԽ͕༰қ
👎6OTUSVDUVSFE1SVOJOHͱൺֱͯ͠ੑೳ͕͍
ॏΈΛআ͢Δ୯Ґ
4USVDUVSFE
6OTUSVDUVSFE
ͷॏΈΛࢬמΓ
ͷॏΈΛࢬמΓ
͍ͬͯΔॏΈ ࢬמΓͨ͠ॏΈ
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6OTUSVDUVSFE1SVOJOH
ޯ
ϕ
ε
Ϛ
ά
χ
ν
υ
ϕ
ε
0QUJNBM#SBJO%BNBHF
<-F$VO
/*14`>
γΞϯΛ༻͍ͯ
ଛࣦ͕૿Ճ͠ͳ͍ॏΈΛಛఆ
0QUJNBM#SBJO4VSHFPO
<)BTTJCJ4UPSL
/*14`>
͋ΔॏΈ̍ͭʹର͢ΔςΠϥʔల։
Λ༻͍ͯ0#%ΛҰൠԽ
-FBSOJOHCPUI
8FJHIUTBOE$POOFDUJPOT
GPS&
ffi
DJFOU/FVSBM/FUXPSLT
<)BO
"$.`>
ॏΈͷେ͖͞Λج४ʹࢬמΓ
$PNQSFTTJPOPG
/FVSBM.BDIJOF5SBOTMBUJPO.PEFMT
WJB1SVOJOH
<4FF
"$-`>
3//֦ு
&YQMPSJOHTQBSTJUZJO
SFDVSSFOUOFVSBMOFUXPSLT
)BOΒͷख๏Λ3//ͷֶशաఔͰ
ޮతʹద༻͢ΔͨΊͷ
εέδϡʔϦϯάख๏ΛఏҊ
/FVSBM5BOHFOU5SBOTGFS
<-JV;FOLF
*$.-`>
/5,Ͱಛֶ͚ͮͨशμΠφϛΫε
Λ฿͢ΔαϒωοτϫʔΫΛ୳ࡧ
/5,4"1
<8BOH
*$-3`>
/5,ͷมԽ͕
খ͍͞ॏΈΛධՁ
4/*1
<-FF
*$-3`>
ଛࣦؔʹର͢Δ
ॏΈͷײΛධՁ
(SB41
<8BOH
*$-3`>
γΞϯΛ༻͍ͯ
ॏΈಉ࢜ͷؔΛධՁ
4ZO
fl
PX
<5BOBLB
/*14`>
ैདྷख๏Ͱൃੜ͢Δ
-BZFS$PMMBQTFରԠ
*UFSBUJWF4/*1
<%F+PSHF
*$-3`>
ϚϧνγϣοτͰద༻ͯ͠
4/*1ͷਫ਼Λվળ
ֶशલʹదԠՄೳͳࢬמΓख๏
4JOHMFTIPU1SVOJOH
'PS1SFUSBJOFE.PEFMT
<)JSPLB[V
*$$78`>
ࣄલֶशࡁΈϞσϧʹର͢Δ
ࢬמΓख๏ΛఏҊ
.PWFNFOU1SVOJOH
<4BOI
/*14`>
ֶशաఔͰ͔Βԕ͔͟Δ
ॏΈΛอ࣋
%ZOBNJDOFUXPSLTVSHFSZ
GPSF
ffi
DJFOU%//T
<(VP
/*14`>
ࢬמΓ͞ΕͨॏΈΛ
ճ෮ͤ͞ΔͨΊͷΦϓγϣϯΛՃ
5IF-PUUFSZ5JDLFU)ZQPUIFTJT
<'SBOLF
*$-3`>
ݩωοτϫʔΫʹɼಉͷੑೳΛ
ൃش͢ΔΑ͏ͳαϒωοτϫʔΫ͕ଘࡏ͢Δ
1SVOJOH%FFQ/FVSBM/FUXPSLT
GSPNB4QBSTJUZ1FSTQFDUJWF
<%JBP
*$-3`>
ܦࡁֶͷͷ๏ଇΛ༻͍ͨ
ࢬמΓͷಈతܾఆ
$-*12
<5VOH
$713`>
ࢬמΓͱྔࢠԽΛซ༻
-FBSOBCMF1SVOJOH
<:BP
BS9JW`>
༧Ίઃఆͨ͠ࢬמΓʹ
ରԠͨ͠ਖ਼ଇԽख๏ͷఏҊ
ʢ4USVDUVSFEͱͯ͠հࡁΈʣ
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w ଛࣦؔʹର͢ΔγΞϯΛ༻͍ͯॏΈͷॏཁΛධՁ
୯७ͳγΞϯͷಋग़͍ͨ͠Ίͦͷର֯Λۙࣅ
w ॏΈશମͰςΠϥʔల։͍ͯͨ͠0#%ΛॏΈຖʹల։ͯ͠ҰൠԽ<)BTTJCJ4UPSL
/*14`>
0QUJNBM#SBJO%BNBHF 0#%
<-F$VO
/*14`>
δE = ∑
i
∂E
∂ui
δui
+
1
2 ∑
i
∂2E
∂uu
∂ui
δu2
i
+
1
2 ∑
i≠j
∂2E
∂uu
∂ui
δui
δuj
+ O(∥δU)∥3)
0#%ऩଋͨ͠%//Λରʹ͍ͯ͠ΔͨΊɼ
ୈҰ߲Λແࢹͨࣜ͠มܗ͕Մೳ
Sk
= hkk
u2
k
/2
ධՁ͕͍ʢଛࣦʹ༩͑Δޡ͕ࠩখ͍͞ʣ
༏ઌͯ͠ॏΈΛআ
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w ॏΈͷେ͖͞Λج४ʹࢬמΓ<)BO
"$.`>
࠷γϯϓϧͳࢬמΓख๏
ֶशͱࢬמΓͷαΠΫϧΛෳճ܁Γฦ͢
w )BOΒͷख๏Λ3//ϕʔεͷػց༁λεΫ֦ு<4FF
"$-`>
3//શମɼ·ͨຖͰॏΈͷେ͖͞Λൺֱͯ͠ࢬמΓ
w 3//ͷֶशաఔͰ)BOΒͷख๏Λద༻͢ΔͨΊͷεέδϡʔϦϯάख๏
ॏΈͷେ͖͞Λج४ͱͨ͠ࢬמΓख๏
5SBJO
$POOFDUJWJUZ
1SVOF
$POOFDUJPOT
5SBJO
8FJHIUT
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w Ұ࿈ͷࢬמΓεΩʔϜͰআ͞ΕͨॏΈΛ࠶ධՁͯ͠෮׆ͤ͞Δख๏ΛఏҊ
%ZOBNJDOFUXPSLTVSHFSZ<(VP
/*14`>
min
Wk
,Mk
L(Wk
⊙ Mk
) s . t . M(i,j)
k
= hk
(W(i,j)
k
)
hk
(W(i,j)
k
) =
{
M(i,j)
k
if ak
≤ |W(i,j)
k
| ≤ bk
1 if bk
≤ |W(i,j)
k
|
W(i,j)
k
← W(i,j)
k
− β
∂L(Wk
⊙ Mk
)
∂(W(i,j)M(i,j)
k
k
)
ఆࣜԽ
w ॏΈϚεΫΛద༻ͨ͠ঢ়ଶͷޯͰߋ৽
ϚεΫ࠷ॳ̍ͰॳظԽ
w আ͞Ε͍ͯΔॏΈͷେ͖͕͞ݱଘ͍ͯ͠ΔॏΈͷ
େ͖͞Λ্ճͬͨΒ෮׆
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w ॏΈͷେ͖͞ϕʔεͷࢬמΓͱεΧϥʔྔࢠԽΛΈ߹Θͤͨख๏
$MJQQJOHɿखಈͰܾఆͨ͠ࢬמΓʹج͍ͮͨൣғʢ্ਤͰ ʣͰΫϦοϓ
1BSUJUJPOJOHɿΫϦοϓͨ͠ൣғΛআ
2VBOUJ[JOHɿͬͨॏΈΛҙͷͰׂͯ͠ྔࢠԽ
[−0.25,0.25]
$-*12<5VOH
$713`>
˞7-ͷ$-*1ͱؔ͋Γ·ͤΜɽ
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w ͋ΔॏΈʹର͢ΔଛࣦؔͷײΛධՁ<-FF
*$-3`>
ϚϧνγϣοτͰద༻͢Δ*UFSBUJWF4/*1ఏҊ͞Ε͍ͯΔ<%F+PSHF
*$-3`>
w γΞϯΛ༻͍ͯॏΈಉ࢜ͷؔੑΛߟྀ<8BOH
*$-3`>
w ্هͷख๏Ͱൃੜ͢ΔͷશͯͷॏΈ͕আ͞ΕΔʹରॲ<5BOBLB
/*14`>
ֶशΛඞཁͱ͠ͳ͍ࢬמΓख๏
SSNIP
(mj) = | ∂L
∂θj
0
⋅ θj
0
|
SGraSP
(mj) = − [H(θ0
⊙ m; D)
∂L
∂θ0
]j ⋅ θj
0
SSyn
fl
ow
(mj) = |
∂∑
k
f(1; |θ0
⊙ m)k
∂|θj
0
|
⋅ |θj
0
||
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w /FVSBM5BOHFOU,FSOFM /5,
ͷ݅ॏΈߏͷධՁʹ༗༻
͕݅খ͍͞ʹऩଋ͍͢͠ʹߴਫ਼
/"4ͷͰͦͷ༗༻ੑධՁ͞Ε͍ͯΔ<$IFO
*$.-` 8BOH
$713`>
w චऀɿ݅ͷΈΛߟྀ͢ΔΑΓ/5,ͷݻ༗εϖΫτϧશମΛ੍ޚͨ͠΄͏͕ྑ͍
ࢬמΓͷલޙͰݻ༗εϖΫτϧ͕มԽ͠ͳ͍Α͏ͳධՁج४ΛఏҊ
w /5,Ͱಛ͚ͮΔֶशμΠφϛΫεΛ฿͢ΔαϒωοτϫʔΫΛൃݟ<-JV;FOLF
*$.-`>
/5,4"1<8BOH
$713`>
SNTK−SAP
(mj) = |
∂EΔθ
𝒩
(0,ϵI)
[∥f(XD
; θ0
⊙ m) − f(XD
; (θ0
+ Δθ) ⊙ m)∥]
∂mj
|
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w ेʹࣄલֶश͞ΕͨϞσϧɼԼྲྀλεΫʹର͢Δ࠶ֶशͷલޙͰ΄΅มԽ͠ͳ͍
ࣄલֶशͷنʹൺྫͯ͠ॏΈ͕มԽͮ͠Β͍͜ͱΛ༧උ࣮ݧʹΑΓ؍
w ࣄલֶशͰ֫ಘͨࣝ͠ͱԼྲྀλεΫͰ֫ಘͨࣝ͠ͷ྆ํΛߟྀ͢ΔධՁࣜΛఏҊ
4JOHMFTIPU1SVOJOH'PS1SFUSBJOFE.PEFMT<)JSPLB[V
*$$78`>
S(mj) = | ∂L
∂θj
0
⋅ θj
0
| + αθ2
0
ᶃԼྲྀλεΫͰมԽ͍͢͠ॏΈΛධՁ
ᶄࣄલֶशͰ֫ಘͨ͠ॏΈΛධՁ
ᶃ ᶄ
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w ܦࡁֶʹ͓͚Δ̒ͭͷͷʹؔ͢ΔಛੑΛ֤ͷࢬמΓͷʹԠ༻
શͯͷಛੑΛຬͨ͢ධՁࢦඪ12*OEFY 12*
ΛఏҊ
ࢬמΓ͢Δ୯Ґ͕খ͍͞΄Ͳߴ͍ޮՌ
12*OEFY<%JBP
*$-3`>
w ͷʹؔ͢Δ̒ͭͷಛੑ
3PCJO)PPEɿ๛͔ͳਓ͔Βශ͍͠ਓΛ͢ΔͱͷภΓখ͘͞ͳΔ
4DBMJOHɿશମͷΛ
𝛼
ഒͯ͠ͷภΓมΘΒͳ͍
3JTJOH5JEFɿશһʹఆֹͷΛ͢ΔͱͷภΓখ͘͞ͳΔ
$MPOJOJHɿಉ͡ͷภΓͷ··ͦͷن͕େ͖͘ͳͬͯͷภΓมΘΒͳ͍
#JMM(BUFTɿԯສऀ͕͍ΔͱͷภΓΑΓେ͖͘ͳΔ
#BCJFTɿͷͳ͍ਓ͕૿͑ΔͱͷภΓେ͖͘ͳΔ
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w ैདྷݚڀͰֶशࡁΈϞσϧͷѹॖΛతʹߦΘΕ͖ͯͨ
lখنͳ%//Λֶश͢Δ͜ͱ͍͠zͱ͍͏͜ͱ͕ܦݧతɾཧతʹΒΕ͍͔ͯͨΒ
w %//͕աύϥϝʔλͰऩଋ͍͢͠ಛੑͷղ໌ʹେ͖͘ߩݙ͢Δݟ
5IF-PUUFSZ5JDLFU)ZQPUIFTJT<'SBOLMF
*$-3`>
ϥϯμϜʹॳظԽ͞ΕͨີͳωοτϫʔΫʹɼ
ಉͷੑೳΛൃش͢ΔΑ͏ͳαϒωοτϫʔΫʢͨΓ͘͡ʣ͕ଘࡏ͢Δ
ϥϯμϜʹॳظԽθ0
গֶ͠शθt
ॏΈͷେ͖͞Λ
ج४ʹࢬמΓ
ߏΛอ࣋ͭͭ͠
Ͱ࠶ॳظԽ
θ0
্ਤͷαΠΫϧΛ܁Γฦ͢͜ͱͰͨΓ͘͡Λൃݟ
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-PUUFSZ5JDLFU)ZQPUIFTJT -5)
ʹؔ͢Δݚڀ
5IF-PUUFSZ5JDLFU)ZQPUIFTJT
<'SBOLF
*$-3`>
0OFUJDLFUUPXJOUIFNBMM
<.PSDPT
/FVS*14`> 1JDLJOH8JOOJOH5JDLFUT
<8BOH
*$-3`>
3JHHJOHUIF-PUUFSZ
.BLJOH"MM5JDLFUT8JOOFS
<&WDJ
*$.-`>
8IBUT)JEEFOJO
B3BOEPNMZ8FJHIUFE/FVSBM/FUXPSL
<3BNBOVKBO
$713`>
ଞͷσʔληοτͰ
ͨΓ͘͡Λ࠶ར༻
ֶशલʹͨΓ͘͡Λൃݟ
શͯͷ͘͡ʢॏΈʣΛ
ͨΓ͘͡ʹ
݁߹ํ๏Λ୳ࡧ
ੜ
ख
๏
-5)ͷ༗ޮੑΛݕূ
ߏ୳ࡧͱͯ͠ͷ-5)
3FUIJOLJOH5IF7BMVF0G/FUXPSL
<-JV
*$-3`>
ݟ͔ͭͬͨߏ͕ॏཁ
8FJHIU"HOPTUJD/FVSBM/FUXPSL
<(BJFS
/*14`>
ॳظͱߏͲͪΒ͕େࣄ͔
$PNQBSJOH3FXJOEJOHBOE'JOFUVOJOH
JO/FVSBM/FUXPSL1SVOJOH
<3BOEB
*$-3`>
ॏΈͷר͖͠WT'JOFUVOJOH
%FDPOTUSVDUJOH-PUUFSZ5JDLFUT
<;IPV
/*14`>
ͨΓ͘͡Ͱੑೳ͕ग़Δཧ༝
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w ൃݟͨͨ͠Γ͘͡σʔληοτΛม͑ͯͨΓ͘͡ͷ··Ͱ͋Δ
0OFUJDLFUUPXJOUIFNBMM<.PSDPT
/*14`>
ΑΓଟ͘ͷαϯϓϧɼΫϥεΛؚΉσʔληοτ͔Βൃݟͨͨ͠Γ͘͡
ଞͷσʔληοτʹྲྀ༻ͯ͠ਫ਼͕མͪͮΒ͍͜ͱΛൃݟ
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w ͨΓ͘͡ʹͳΔ·ͰநબΛ܁Γฦ͢<&WDJ
*$.-`>
w ີͳωοτϫʔΫʹֶशෆཁͳͨΓ͕͘͡ଘࡏ<3BNBOVKBO
$713`>
ॏΈΛߋ৽ͤͣɼଓͷ༗ແͷΈΛ࠷దԽ
ॳظͷ୳ࡧʹؔ͢Δੜख๏
εύʔεͳ%//Λ༻ҙʢϥϯμϜʹεύʔεԽʣ
Ұఆֶश
ॏΈͷେ͖͞ʹैͬͯࢬמΓ
ޯͷେ͖͞Λج४ʹࢬמΓ͞Ε͍ͯΔॏΈΛ෮׆
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w ͨΓ͘͡ͷॴ༗ݖΛओு<$IFO
/*14`>
ͨΓ͘͡ൃݟऀͷॏཁͳࢿݯ
➡︎
ͨΓ͘͡ͷॴ༗ݖͷอޢ͕ඞཁ
ͨΓ͘͡ʹରͯ͠23ίʔυΛຒΊࠐΉख๏ΛఏҊ
w "&Tʹؤ݈ͳͨΓ͕͘͡ଘࡏ<'V
/*14`>
ൃݟͨͨ͠Γ͘͡ఢରతֶशΛߦΘͳͯ͘"&Tʹରͯ͠ؤ݈
-5)ʹجͮ͘ϢχʔΫͳݚڀ
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w ඇৗʹଟ͘ͷ࣮ݧʹج͍ͮͯɼૉૣͨ͘Γ͘͡Λݟ͚ͭΔͨΊͷࢦΛௐࠪ
ஶऀΒͷओு
࠷దʹֶशͨ͠ݩωοτϫʔΫͷਫ਼αϒωοτϫʔΫͷਫ਼ΛԼճΒͳ͍
w ͨΓ͘͡Λૉૣ͘ݟ͚ͭΔͨΊͷࢦ
* ࠩଓ খنσʔληοτͷ߹*.1 Λ࠾༻ͨ͠΄͏͕ྑ͍
** ࠩଓ͕͋Δ߹খ͞ͳֶशΛ࠾༻ͨ͠΄͏͕ྑ͍
*** ωοτϫʔΫ͕ेʹେ͖͍߹ͷ΄͏͕ͨΓ͘͡ݟ͚͍ͭ͢
খنσʔληοτ େنωοτϫʔΫͳͲ
*7 ͨΓ͕͘͡େ͖ͳֶशͰऩଋ͢Δ߹ɼॳظʹґଘ͍ͯ͠ͳ͍Մೳੑ͕͋ΔͷͰҙ
-5)ʹؔ͢ΔదͳֶशઃఆΛௐࠪ<.B
/*14`>
*.1ࡉ͔ͳࢬמΓͰෳճࢬמΓ͢Δํ๏
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$//4USVDUVSFE1SVOJOHɹ
/FUXPSL4MJNNJOH
<-JV
*$$7`>
εέʔϦϯάϑΝΫλͷ
ಋೖͱਖ਼ଇԽ
3FUIJOLJOHUIF4NBMMF/PSN
-FTT*OGPSNBUJWF"TTVNQUJPO
<:F
*$-3`>
(BUF%FDPSBUPS
<:PV
/*14`>
1SVOJOH'JMUFST
GPS&
ffi
DJFOU$POW/FUT
<-J
*$-3`>
ॏΈͷେ͖͞Λج४
ਖ਼ଇԽ߲ʹܭࢉྔͷج४Λಋೖ
(SPVQXJTF#SBJO%BNBHF
<-FCFEFW-FNQJUTLZ
$713`>
-FTT*T.PSF
<;IPV
&$$7`>
-FBSOJOH4USVDUVSFE4QBSTJUZ
JO%FFQ-FBSOJOH
<8FO
/*14`>
༷ʑͳ୯ҐͰਖ਼ଇԽΛద༻
4USVDUVSFE1SVOJOH
<"OXBS
"$.`>
খ͞ͳॏΈ͕ूத͍ͯ͠ΔՕॴΛ
·ͱΊͯআ
(SFFEZDPNQSFTTJPO
<"CCBTJ"TM:V
BS9JW`>
/FU"EBQU
<:BOH
&$$7`>
࣮ߦ࣌ؒΛج४ʹࢬמΓ
'JMUFS1SVOJOH
WJB(FPNFUSJD.FEJBO
<)F
$713`>
ΧʔωϧͷॏΈͷେ͖͞ͱ
Β͖ͭͷେ͖͞Λߟྀ
*NQPSUBODF&TUJNBUJPO
<.PMDIBOPW
$713`>
ΧʔωϧΛআͨ͠ࡍͷ
ଛࣦͷมԽྔͷೋΛॏཁͱఆٛ
(SPVQ'JTIFS1SVOJOH
<-JV
*$.-`>
'JTIFSJOGPSNBUJPOΛ
༻͍ͨॏΈͷධՁ
3FT3FQ
<%JOH
*$$7`>
ͳॏΈʹͷΈ
ਖ਼ଇԽΛద༻
ςΠϥʔల։ϕʔεͷ
εέʔϦϯάϑΝΫλͷධՁ
%FQ(SBQI
<'BOH
$713`>
%//ͷ֤ͷґଘؔΛ
άϥϑͱͯ͠දݱ
$1SVOF
<,JN
&$$7`>
%//ίϯύΠϥΛ༻͍ͨ
࣮ߦϕʔεͷࢬמΓ
"VUP$PNQSFTT
<-JV
"""*`>
ҟͳΔࢬמΓεΩʔϜͷબɼධՁɼ
ࢬמΓͱ͍͏αΠΫϧΛࣗಈԽ
$FOUSJQFUBM4(%
<%JOH
$713`>
ΫϥελΛ༻͍ͨΧʔωϧ౷߹
$IBOOFM1SVOJOH
<)F
*$$7`>
5IJ/FU
<-VP
*$$7`>
ѹॖޙͷಛྔͷ
มԽΛ࠷খԽ
ϨΠϠʔ୯ҐͰࢬמΓ
%JTDSJNJOBUJPOBXBSF
$IBOOFM1SVOJOH
<;IVBOH
/*14`>
ຖʹࣝผثΛಋೖ
/*41
<:V
$713`>
ਖ਼
ଇ
Խ
ϕ
ε
ॏ
Έ
ͷ
ධ
Ձ
ج
४
ͦ
ͷ
ଞ
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w -BTTPਖ਼ଇԽ
طଘͷଛࣦؔʹରͯ͠ॏΈͷେ͖͞ΛՃࢉ
w Χʔωϧͷܗঢ়Λѹॖ<-FCFEFW-FNQJUTLZ
$713`>
w $//ͷχϡʔϩϯʹରͯ͠ਖ਼ଇԽΛద༻ͯ͠ϞσϧαΠζΛѹॖ<;IPV-FNQJUTLZ
&$$7`>
w ΧʔωϧɼΧʔωϧͷܗঢ়ɼνϟϯωϧɼͷਂ͞ʹରͯ͠ਖ਼ଇԽΛద༻<8FO
/*14`>
w هԱΛ࢘Δ෦ͷॏΈҎ֎ʹͷΈʹਖ਼ଇԽΛద༻<%JOH
*$$7`>
ਖ਼ଇԽϕʔεͷΞϓϩʔν
L(f(W; x), y) + λ∥W∥1
ଛࣦؔ ਖ਼ଇԽ߲
w1
w2
w ଛࣦؔͷପԁͷߴઢʹରͯ͠ਖ਼ଇԽ߲ઢ
w ࠷దԽͷաఔͰࣗવʹॏΈ͕ۙʹऩଋ
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w νϟϯωϧ୯ҐͰεέʔϦϯάϑΝΫλ Λಋೖ<-JV
*$$7`>
εέʔϦϯάϑΝΫλʔ ʹ-BTTPਖ਼ଇԽΛద༻ֶͯ͠श
w ਖ਼ଇԽ߲ʹܭࢉྔʹؔ͢Δج४Λಋೖͯ͠εέʔϦϯάϑΝΫλΛਖ਼ଇԽ<:F
*$-3`>
w ςΠϥʔల։ϕʔεͷεέʔϦϯάϑΝΫλͷධՁํ๏ΛఏҊ<:PV
/*14`>
γ
γ
εέʔϦϯάϑΝΫλΛ༻͍ͨΞϓϩʔν
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w ΧʔωϧͷॏΈͷઈରͷ૯͕খ͍͞ΧʔωϧΛࢬמΓ<-J
*$-3`>
w ΧʔωϧΛআͨ͠ࡍͷਫ਼ͷԼΛᩦཉʹࢉग़<"CCBTJ"TM:V
BS9JW`>
w ཻͷখ͍͞෦ʢখ͞ͳॏΈ͕ू·͍ͬͯΔ෦ʣΛ·ͱΊͯࢬמΓ<"OXBS
"$.`>
w ॏΈͷେ͖͞ͱΧʔωϧͷॏΈͷΒ͖ͭΛಉ࣌ʹߟྀ<)F
$713`>
w ΧʔωϧΛআͨ͠ࡍͷଛࣦͷมԽྔͷೋΛॏཁͱͯ͠ར༻<.PMDIBOPW
$713`>
ΧʔωϧͷॏཁΛج४ʹͨ͠Ξϓϩʔν
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w Ϧιʔεͷফඅྔʢ࣮ߦ࣌ؒʣΛج४ͱͯ͠ຖʹ࣍ݩΛࢬמΓ<:BOH
&$$7`>
w 'JTIFSJOGPSNBUJPOʹΑΔॏཁͷධՁ<-JV
*$.-`>
ςΠϥʔల։Λ༻͍ͯಋग़ͨ͠ೋ࣍ಋؔΛ'JTIFSJOGPSNBUJPO Ͱۙࣅ
Hi,i
ΧʔωϧͷॏཁΛج४ʹͨ͠Ξϓϩʔν
Hi,i
=
∂2L
∂mw
i
≈
1
N
N
∑
n=1
(
∂Ln
∂mi
)2
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w ͷલޙͷग़ྗͷมԽ͕࠷খʹͳΔΑ͏ʹѹॖ
w ͷલޙͰಛྔͷมԽ͕࠷খʹͳΔΑ͏ͳॏΈΛ࠶ߏ<)F
*$$7`>
w ᩦཉ๏Ͱޡ͕ࠩখ͘͞ͳΔΑ͏ͳΛಛఆͯ͠আ<-VP
*$$7`>
w ग़ྗͷ࠶ߏޡࠩΛ࠷దԽ֤ͯ͠ϑΟϧλͷॏཁΛٯ<:V
$713`>
w ࠶ߏޡࠩͱຖͷՃࣝผثͷྨޡࠩΛΈ߹Θͤͨ࠷খԽ<;IVBOH
/*14`>
ೖग़ྗͷޡࠩΛ࠷খʹ͢ΔΞϓϩʔν
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w ҟͳΔࢬמΓεΩʔϜͷબɼධՁɼࢬמΓͱ͍͏αΠΫϧΛࣗಈԽ͢Δख๏ΛఏҊ
"VUP$PNQSFTT<-JV
"""*`>
w 4UFQϋΠύϥΛϥϯμϜʹબ
w 4UFQώϡʔϦεςΟοΫͰ؆୯ʹධՁ
ϋΠύϥͷେ·͔ͳΛਪఆ
w 4UFQϋΠύϥΛܾఆ
w 4UFQ4USVDUVSFE1SVOJOHͷίΞΞϧΰϦζϜͰࢬמΓ
w ֶश࣌3JEHFਖ਼ଇԽϕʔεͷ"%..ਖ਼ଇԽΛద༻
ਖ਼ଇԽඪΛಈతʹબֶͯ͠श
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w ͕͍ۙΧʔωϧͰΫϥελΛ࡞͕ͯ͠ࣅΔΑ͏ʹֶश<%JOH
$713`>
ΠϯσοΫεج४ɼ·ͨL//Λ༻͍ͯΫϥελΛܗ
ܗ͢ΔΫϥελඪͱ͢ΔΧʔωϧʹରԠ
w
࠷దԽख๏Λ͢ΔΞϓϩʔν
w ӈਤʣΫϥελ"#ؒͷॏΈΛ͚ۙͮΔ߹
ΫϥελͷଞॏΈͱͷதΛࢉग़
ॏΈݮਰ࣌ͷޯͱ"#ؒͷޯΛϚʔδ
Q3
= ⃗
AM
Q4
= ⃗
Q2
Q4
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w %//ίϯύΠϥͰߴʹॲཧՄೳͳαϒάϥϑߏΛ୳ࡧ
%//ίϯύΠϥɿλʔήοτσόΠεʹରͯ͠࠷దԽίʔυΛੜ͢ΔίϯύΠϥ
$1SVOF$PNQJMFS*OGPSNFE.PEFM1SVOJOH<,JN
&$$7`>
ࢬמΓޙʹ࠷ߴͰ͋ͬͯ
ίϯύΠϧޙʹߴͰ͋ΔͱݶΒͳ͍
ᶃ%//Λαϒάϥϑʹׂͯ͠ᶄίϯύΠϧɽ
֤αϒάϥϑͷΛܭଌͯ͠ߴͳαϒάϥϑΛ͢ɽ
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w ؒͷґଘؔΛ໌ࣔతʹϞσϧԽ͢Δ%FQFOEFODZ(SBQI %FQ(SBQI
ΛఏҊ
୯७ͳϚάχνϡʔυϕʔεͷج४Λ༻͍ͯҰ؏ͨ͠ੑೳΛൃش
%FQ(SBQI<'BOH
$713`>
w ্ਤʣ̎࣍ݩॏΈߦྻ ͰύϥϝʔλԽͨ̏͠ͷ.-1ͷ߹
ͱ ͱͷؒͷґଘؔΛ ͱදه
൪ͷχϡʔϩϯΛࢬמΓͨ͠߹ ͱ Λআ
͜ΕΒͷґଘؔΛάϥϑԽͯ͠࠷దԽ
wl
, wl+1
, wl+2
wl
wl+1
wl
⇔ wl+1
k wl
[k, :] wl+1
[: , k]
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5SBOTGPSNFS4USVDUVSFE1SVOJOH
ϔ
υ
ɾ
࣍
ݩ
τ
Ϋ
ϯ
1P8&3#&35
<(PZBM
*$.-`>
ͳτʔΫϯΛআ
ʢॏΈͷͦͷ··ʣ
*"3&%
<1BO
/*14`>
2
7J5ͷͳύονΛਪதʹআ
1BUDI4MJNNJOH
GPS&
ff
i
DJFOU7JTJPO5SBOTGPSNFST
<5BOH
$713`>
ਂ͍Ͱύονؒͷྨࣅ͕
ߴ͘ͳ͍ͬͯΔ͜ͱΛ؍
-ਖ਼ଇԽΛ༻͍ͯϔουΛআ
"OBMZ[JOH
.VMUJ)FBE4FMG"UUFOUJPO
<7PJUBM
"$-`>
"SF4JYUFFO)FBET
3FBMMZ#FUUFSUIBO0OF
<.JDIFM
/*14`>
ϔουຖͷޯͷେ͖͞Λ
ج४ʹࢬמΓ
3FEVDJOH5SBOTGPSNFS%FQUI
PO%FNBOEXJUI4USVDUVSFE%SPQPVU
<'BO
*$-3`>
୯ҐͰ%SPQPVUΛద༻
$IBTJOHTQBSTJUZ
JOWJTJPOUSBOTGPSNFST
<$IFO
/*14`>
ϔουͷग़ྗಛΛ
ςΠϥʔల։ΛԠ༻ͯ͠ධՁ
8%1SVOJOH
<:V
"""*`>
ͷਂ͞ͱ෯Λಉ࣌ʹݮ
%ZOBCFSU
<)PV
/*14`>
ࢬמΓͱৠཹΛΈ߹Θͤͯ
ͱ෯Λѹॖ
304*5"
<-JV
"""*`>
ࢬמΓʴϥϯΫҼղʴ
ࣝৠཹͷซ༻
ҟͳΔѹॖख๏Λซ༻
6OJ
fi
FEWJTVBMUSBOTGPSNFS
DPNQSFTTJPO
<:V
*$-3`>
ࢬמΓɼϒϩοΫεΩοϓɼ
ࣝৠཹΛΈ߹Θͤͨ67$ΛఏҊ
91SVOFS
<:V
*$$7`>
7J5ͷઆ໌ੑΛߟྀͨ͠ࢬמΓ
7JTJPO5SBOTGPSNFS1SVOJOH
<;IV
,%%`>
֤ͷલޙͰτʔΫϯͷ
࣍ݩΛѹॖ͢ΔͨΊͷର֯ߦྻΛಋೖ
-FBSOBCMF1SVOJOH
<:BP
BS9JW`>
༧Ίઃఆͨ͠ࢬמΓͱ
ରԠͨ͠ਖ਼ଇԽख๏ͷఏҊ
4USVDUVSFE1SVOJOHPG
-BSHF-BOHVBHF.PEFMT
<8BOH
"$-`>
ର֯ߦྻ)BSE$PODSFUF
͔ΒαϯϓϦϯά
#MPDLTQBSTF
ϥϯΫҼղΛ༻͍ͨ
ॏΈߦྻͷѹॖ
3//
'JOFUVOFEUSBOTGPSNFSTTIPX
DMVTUFSTPGTJNJMBSSFQSFTFOUBUJPOT
BDSPTTMBZFST
<1IBOH
BS9JW`>
ޙͷ5SBOTGPSNFSϒϩοΫ༧ଌʹରͯ͠
΄΅ӨڹΛ͠ͳ͍ͷͰআՄೳ
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w ϔου୯ҐͷࢬמΓ
.VMUJ)FBE"UUFOUJPO .)"
ͷϔου Λݮ
$PODBUͨ͠ࡍͷ࣍ݩ͕ݮগ
w ࣍ݩ୯ҐͷࢬמΓ
-JOFBSʹؚ·ΕΔॏΈߦྻΛߦ୯ҐͰࢬמΓ
.)"ͷ2ɼ,ɼ7ʹରͯ͠ద༻Մೳ
w ୯ҐͷࢬמΓ
Λݮ
h
N
5SBOTGPSNFSͷࢬמΓ
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w ϔου୯ҐͷࢬמΓ
.VMUJ)FBE"UUFOUJPO .)"
ͷϔου Λݮ
$PODBUͨ͠ࡍͷ࣍ݩ͕ݮগ
w ࣍ݩ୯ҐͷࢬמΓ
-JOFBSʹؚ·ΕΔॏΈߦྻΛߦ୯ҐͰࢬמΓ
.)"ͷ2ɼ,ɼ7ʹରͯ͠ద༻Մೳ
w ୯ҐͷࢬמΓ
Λݮ
h
N
5SBOTGPSNFSͷࢬמΓ
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w ֤ϔουʹϚεΫύϥϝʔλΛ༩͠-ਖ਼ଇԽΛద༻ͯ͠ϔουΛআ<7PJUB
"$-`>
·ͨͷϚεΫΛੜ͢ΔͨΊʹ)BSE$PODSFUF<-PVJ[PTʴɼ*$-3>Λಋೖ
w ΄ͱΜͲͷϔουΛ̍ͭʹআͯ͠ͳ͍<.JDIFM
/*14`>
֤ΞςϯγϣϯϔουʹϚεΫύϥϝʔλΛ༩͠ɼͦͷޯͷେ͖͞Λج४ʹϔουΛআ
w ଛࣦؔʹର͢Δ֤ϔουͷग़ྗಛྔͷײΛධՁ<$IFO
/*14`>
Ξςϯγϣϯϔουͷ༗ޮੑʹؔ͢Δݚڀ
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w ϔου୯ҐͷࢬמΓ
.VMUJ)FBE"UUFOUJPO .)"
ͷϔου Λݮ
$PODBUͨ͠ࡍͷ࣍ݩ͕ݮগ
w ࣍ݩ୯ҐͷࢬמΓ
-JOFBSʹؚ·ΕΔॏΈߦྻΛߦ୯ҐͰࢬמΓ
.)"ͷ2ɼ,ɼ7ʹରͯ͠ద༻Մೳ
w ୯ҐͷࢬמΓ
Λݮ
h
N
5SBOTGPSNFSͷࢬמΓ
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w 3//ʹରͯ͠ϥϯΫҼղΛద༻
ର֯ ͷখ͍͞ߦΛࢬמΓ
w )BSE$PODSFUF<-PVJ[PTʴɼ*$-3`>͔ΒαϯϓϦϯάͨ͠ Λ༻<8BOH
"$-`>
ߦྻͷߦ୯ҐͰࢬמΓՄೳ
w ύοντʔΫϯରֶͯ͠शՄೳͳର֯ߦྻΛՃ֤ͯ࣍͠ݩͷॏཁΛධՁ<;IV
,%%`>
ର֯ͷେ͖͕͞खಈͰઃఆͨ͠ᮢΛԼճΔ߹ɼରͷ࣍ݩΛআ
z
z
ϥϯΫҼղΛ༻͍ͨॏΈߦྻͷѹॖ
W = PQG =
r
∑
k=1
zk
× (pk
× qk
)
͔ΒΔର֯ߦྻ
z1
, . . . , zd
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w ຖͷखಈʹΑΔᮢͷઃఆ͕ෆཁͳਖ਼ଇԽख๏ΛఏҊ
ਖ਼ଇԽ߲ͷࣗಈతʹબ ൣғͷࢦఆඞཁ
4USVDUVSFE
6OTUSVDUVSFEΘͣซ༻͢Δ͜ͱ͕Մೳ
-FBSOBCMF1SVOJOH<:BP
BS9JW`>
K(σi
) := 100 ⋅ k(σi
),
ࢬמΓ ֶशՄೳͳύϥϝʔλ
k(σi
) = Sigmoid(σi
/T), for i = 1,...,n
ԹύϥϝʔλʢϋΠύϥʣ ॏΈͷ
ֶशՄೳͳύϥϝʔλΛ༻͍ͯ
ݱࡏͷࢬמΓΛදݱ
R(σ) = Nremain
(σ)/Ntotal
͍ͬͯΔॏΈͷɿk(σi
) × Ntotal
Lreg
(σ) = {
(R(σ) − Rtarget
)2 R(σ) ≥ Rtarget
0 else .
ਖ਼ଇԽ߲
ਖ਼ଇԽ߲ͷ
λreg
= λmax
{
Lreg
(1 − Rtarget
)2
, λmin
}
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w 7J5ͷઆ໌ՄೳੑΛߟྀͨ͠ࢬמΓख๏Ͱ͋Δ91SVOFSΛఏҊ
ߴ͍આ໌ੑͱਫ਼Λҡ࣋͢Δ͜ͱ͕Մೳ
ઃఆͨ͠ࢬמΓʹԠ֤ͯ͡ͷࢬמΓΛಈతʹܾఆ
ॏΈߦྻΛߦ୯ҐͰࢬמΓ
91SVOFS<:V
$713`>
Lsmooth
(M) =
L
∑
l=1
C
∑
c=1
|∇2Ml
:,c
|
1
Ϋϥε͕ಉ͡Ͱ͋Δ߹ɼ
ϚεΫ Ώͬ͘ΓͱมԽͯ͠΄͍͠
M
ฏੑΛ੍͢Δਖ਼ଇԽ߲
Lsparse
(M) =
L
∑
l=1
C
∑
c=1
|Ml
:,c
|
2
ରϢχοτͷੑΛղܾ͍ͨ͠
εύʔεੑΛ੍͢Δਖ਼ଇԽ߲
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w ϔου୯ҐͷࢬמΓ
.VMUJ)FBE"UUFOUJPO .)"
ͷϔου Λݮ
$PODBUͨ͠ࡍͷ࣍ݩ͕ݮগ
w ࣍ݩ୯ҐͷࢬמΓ
-JOFBSʹؚ·ΕΔॏΈߦྻΛߦ୯ҐͰࢬמΓ
.)"ͷ2ɼ,ɼ7ʹରͯ͠ద༻Մೳ
w ୯ҐͷࢬמΓ
Λݮ
h
N
5SBOTGPSNFSͷࢬמΓ
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w ࢬמΓͱϒϩοΫεΩοϓɼࣝৠཹΛซ༻͢Δ67$ΛఏҊ<:V
*$-3`>
ਂ͍5SBOTGPSNFSϒϩοΫؒͰߴ͍ྨࣅੑΛ࣋ͭͱ͍͏ಛੑΛߟྀͨ͠ϒϩοΫεΩοϓͷಋೖ
w ࢬמΓͱࣝৠཹͱϥϯΫҼղΛΈ߹Θͤͨѹॖख๏ͷఏҊ<-JV
"""*`>
w ࢬמΓͱࣝৠཹΛΈ߹Θͤͨ࣍ݩɾͷѹॖख๏ΛఏҊ<)PV
/*14`>
ҟͳΔѹॖख๏Λซ༻
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w 7JTJPO5SBOTGPSNFSͷ෯ͱਂ͞Λಉ࣌ʹѹॖ͢Δख๏ΛఏҊ
ຖͷࢬמΓᮢࣗಈͰܾఆʢ૯ࢬמΓϋΠύϥʣ
w ਂ͍5SBOTGPSNFSϞσϧͷޙϒϩοΫ༧ଌʹ΄΅د༩͠ͳ͍<1IBOH
BS9JW`>
8%1SVOJOH8JEUI%FQUI1SVOJOH<:V
"""*`>
MHA(x) = Wproj
H
∑
h=1
Mh
Attn(x)
∂L
∂Sh
=
∂L
∂MHA
Attnh
(x)
ϚϧνϔουΞςϯγϣϯͷ
ϔουຖʹϚεΫΛద༻
֤ϔουͷείΞΛߋ৽
ϔου ͷධՁ ɿධՁԼͷࣜͰߋ৽
h Sh
ਂ͞ํͷѹॖɿຖʹྨثΛՃͯ͠ҰׅͰֶश
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w $//ʹ͓͚ΔΧʔωϧࢬמΓΛ5SBOTGPSNFSʹ֦ு<5BOH
$713`>
w τʔΫϯͷධՁͱͯ͠ΞςϯγϣϯΣΠτͷ૯Λར༻<(PZBM
*$.-`>
w 7J5ʹϚϧνϔουΠϯλϓϦλΛՃͯ͠ύοντʔΫϯͷॏཁΛධՁ<1BO
/*14`>
ͳτʔΫϯΛআ͢Δ͜ͱͰߴԽ
7J5#BTFʹ͓͚ΔύονؒͷฏۉྨࣅʢίαΠϯྨࣅʣ
ΛܦΔ͝ͱʹ
ύονؒͷྨࣅߴ͘ͳ͍ͬͯΔ
ྨࣅ͍ͯ͠Δύον͍Βͳ͍
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w 1SVOJOH%//ͷѹॖख๏ͷ̍ͭ
w ॏΈͷධՁํ๏ͷ
ॳظɿਖ਼ଇԽͱॏΈͷେ͖͞ʹج͍ͮͨॏΈͷධՁ
ޙظɿ/5,ΛؚΉ%//ͷֶशμΠφϛΫεͷղੳʹج͍ͮͨॏΈͷධՁ
w ݚڀಈ
(16Λ༻ֶͨ͠श͕ྲྀߦ͍ͯ͠ΔͨΊ4USVDUVSFE1SVOJOH͕ਓؾ
(16%άϥϑΟΫεॲཧʹಛԽ͓ͯ͠Γɼߦྻͷฒྻԋࢉ͕ಘҙ
6OTUSVDUVSFE1SVOJOHʹରԠͨ͠ઐ༻νοϓ͕։ൃ͞ΕͨΒٯస͢ΔՄೳੑ
·ͱΊ