• 検索結果がありません。

バックプロパゲーション・ニューラルネットワークにおける収束条件と学習の加速化

N/A
N/A
Protected

Academic year: 2021

シェア "バックプロパゲーション・ニューラルネットワークにおける収束条件と学習の加速化"

Copied!
33
0
0

読み込み中.... (全文を見る)

全文

(1)

(2)     !"#$ %&. '(. ! ".   "    #.   . .       $  

(3). 

(4)    % . %  .    !&'"(.      . 

(5) .    .    .          

(6). 

(7)     .   .    

(8)

(9) .          .    .          .  

(10) .       .  .   .  .      .            .  .      .  .         

(11)    .  .

(12) .  . 

(13)      .    .    .   

(14) 

(15)  .        .   .   . .  . .    .   

(16) .   

(17).   .        .       .    .            

(18)   

(19)  .     .             .    . . .   

(20) .  .   

(21).       

(22). 

(23)     .    . . ()*+,-./012345678.  ,9 : ;< =.      ). .     "

(24) .  . .      .      .  *   ' .    + .  

(25)    01234>?@A B@C D.

(26)  

(27) . !"#. $%&'()*+',-./0123456789:'();<" =>?@A*9:B',CDEFGH9I'JKLMN27 5FGH9I'JK$%OPQR)BS.TU5VWX&'J KYZ$%OPQR&'JKY[B      \\]>:B' ^_.0 `abcU d,e"fg ^ d hiSjklF   lFm>nX'()opB. $%OPQR*qr:'()stuh1vw.hxUy", z   lFm>n)BX')$%OPQR*qr:'?{ |}qr:B,~{lEhiSjklF €B‚ƒ)„ €&'CDEF†‡ˆ{*&‰ B :Š$%&')]‹|}i6Œ^hiSjklF lEŽo‹‡ˆ{d ƒ)]‘qp",h1vw.hxUqp. "’“”•X9I:Š9I'–Y$%OP*QR9:' — &‰B2v.-U*˜™?>š:'()*›œ‚+'()*# }9:",”*ž=:Š'–Y2v.-UŸ ˜ ™¡=)ƒ$%OP*QR9:'()ƒr?p",Zh1vw.hx Uqp"’“”??r>¢&‰B2v.-U€B˜ ™£¡+"?ƒ$%‚¤¥&'¦§¨©ªB 'o«¬‘9:",Z$%­®')¯2v.-U ž9*˜™?>š:'()*°?›œ‚+'()*i6Œƒ r?±{]‘)²³", ´µ¶±·XOH&'"¸¹™ºB]‘ ƒqh1vw.hxUopB‹»¼½y",. .

(28)  

(29)      . ! "#$ %& #$'% &" % & ()"*. $'% &"% &"*$'% &"% &"*$'% &( +,-" #$'.-/% &"% &"% & 0"(1 )23'45. . -6*$78+0"9: ;'<=->?"@A B. +C=D"% &(0"9: EFGH'I".  JKLM9:" JKLMEFGHN?'OP 78+. /QR". %&  . (STU 45. . VD"W JK. LM9:" JK X9!EFGH'I!'YZ -"[[70\V0"STU/]^ _. +,. `a'<b. .    

(30). c

(31) defghijk 

(32) lmno(pqrs. .

(33)   

(34) 

(35)  . !"#$%!"&' (")* +,-  ./012!" )*34  5  6  7  8 . . 49:;  8 5  8 6  8 7  8  49. 8 .  . 8 . . <=>("?@ABCDEFG. HI> / ./(" ./(")*&'. J3. KL&'  5 . .  5 . .   .   .  5 . . MM KN O' / ./("K   .   O' / ./(" J3O' /!" ("  5  6  7  . .  5 . .   .   . 6 .   .   . 7 .   .   .   .  5 .  .  5 .  .      .      .  5 . . 49P /!"("  5  6  7  . .  5 . .   .   . 49MMQR(" 4ST4UVW 749 XVWFG 5 7. . 49=%>("<3YZG[\]FG^^  ^^ ^^ [\]F3_`a4BCDEFG. .

(36)  

(37)                           . .   .   .   .   .   .             . .   .   .   .   .   .            . .    "#$%"&#'. ! . ()*+,-./012#$%3. 45678)#9 # : ;< ! "=>#$% '. ()#?@ABC # D#EF#GABHIJ

(38) . KL=M! "=>! "NOPBQ' 3*+. ()*+R.  SPBTU.   . .    .   .                                       .   . ! "=>! "#'. 3)#V,.   . #'. ()*+R. () WPB$%R3  . ! "#$%      NOPBQ $%  NOPBQ "X#$%#GKL= YZ[\]^_`4abcd`efgZhi`[#jklmno#pq+. .

(39)  

(40)     %%. ! "#$ (&& ')'*& '& )& ''*& '*& '*. & ' . & )& ''*& '. &'. %%& '(&& ')'*& '& )& ''*& '*& '* & )& ''*& ' %%. &'. (& )'* & ) '*. & ' . & ' . & ' . & ' . * *. & ' . & ' . & ) '* & ' . &'. & ' . %%& '(&& ')'*& '& )& ''*& '*& '* & )& ''*& ' %%. &'. (& )'* & ) '*. & ' . & ' . & ' . & ' . * *. & ' . & ' . & ) '* & ' . &'. & ' . + 

(41) &,-

(42) '  

(43) . /01234 5# $ 67 %%& '(%%& '*%& '%& ' (%%& '*& ' (%%& '*%& '%& '*& ' (%%& '*& '& )& ''*& ' (%%& '*& '& )& ''*& ' (&%%& '*%& '%& '8%%& '*%& '%& ''* & '& )& ''*& '. &'. $&'9:;<=><? %%& '(&& ')'*& '& )& ''*& '*& '& )& '' (. &'. %%& '(&& ')'*& '& )& ''*& '*& '& )& '' (. & '. @ %%& '(&*& '8*& ''*& '& )& ''*& ' & '.

(44)    

(45)                 . !" #$%&'( )*. +,-./) 00 1  

(46)           00. 1 .   .

(47)  .   .      .   .   .   .   .  00 1  

(48)           00. 1 .   .

(49)  .   .      .   .   .   .   .  00 1  

(50)           23456, 7$%8 &9 % . :;<=>?@$%+A , . B :; C)D E&FGBH" IJKLM6N )OPQRSHT?)N UV&WHN#N )8X)UVY%T   8NZ[\], 8 8 C^NC^NZ[\_ 8?)#N)`!a )\Hbc+d&P)OP ?@)ef \_&'gh ijk)OP, )* l/)1  ?@mPTd) . , nopqrs)*+Etu. vwd&P    x&+A 4d )yz_{ )*+| ,x +A )yz])H }~x~x €+‚ƒ ~„ nopqrs †‡ˆ‰Š‹ŒLnŽ L‘’“‡”•Lˆ –—˜™ij cšf. .

(51) +  ¥¦ ./01234§ ¨56&¥¦. .  

(52)  

(53)     . !"#$ 

(54) % .  & '(%)* + ,$- %./0123456&% #%)*789 ,-$     -$. :;<=>?@ABCDEF(G HIJKLMNO.PQRSTOUVWIXYOJSTOLZQ[TO \]^_` ab7c7 de. G$fc7gh=. #;<=>?@AB i jklmnCDopqrna s tu$STOUVWIXYOJ vwx lmG

(55) n-yz#

(56) i {|}34 ~- €|} c‚ƒ„4 ~f†$lm‡4 ˆ‰7Š‹Œ (f†$Ž‚ƒ„4‘c’ “”•%–G. lm—˜™=š~-G›œRž 8. ŸOV  ¡J¢Q $lm— £¤dCDod#. .

(57) 

(58)      . !"#$%& ' 

(59) (  . )*+,-./0 !1234' 56789:;<.=> ,-

(60) ?@A4BCDEFBGHIJK ,-LM. NOBPQRS ,-.T>B  UV :WX34B.Y*  

(61) Z [\BGH]^ ._ ` abcde]ZKRS fgb UV:WX34!h !i!j''.e  klmanM.  !!j''  o

(62) p !!j''B+ .

(63) qY* (rsLMt) uv wx .=y)Kz [\ B3{.V|} 3~B+ . 

(64) qY*  [\GH Babcd.]ZK €  ‚t ƒP{4Bkla.=>K„ † B‡kl+!†B56789' uv Kˆ †B567 89LM‰Š. 

(65) q‹ ŒŽ .†€. ‘’“‚BY*.

(66) q Kˆ 56789LM‰ Š. 

(67) q‹ Œ”• ). ) h  )KUV:. WX34 B–— B˜t+™šY* ›( UV:WX34!h !i!j''Bklma!!j'' q nMOB!!j''B3{a ƒP{4Bzœa† ž.T> NOo

(68) pLMOB56789eŸ   ‚tƒP{4B‡klat) !!j''B3{.¡¢. nMO Ÿ  B+. 

(69) qY*   !!j''. B˜t+ 

(70) q™š wx. £¤ € nMOB56789tLM ƒ q ¥¦§¨uv  [\.=yŒŽKˆ NO ©pLMO ”•ª .† «¬ nMOBƒP{4­®o› ‚B­®!¯¯! '' .  KˆB”•.=>°B! 'a ±²³´8µ¶7U·9$567|<¸²¹º7³B”• ?@B[®. .

(71)                  . . 

(72)  .      . #$%.   . !". %&'()* %&'(

(73) + %&'(

(74) . ,-. .    /0-.1  %&'(

(75) +. 20  3%&'(  %&'(

(76) +20  3%&'(      4#5      . %&'(*6%20  3%&'()*3%&'78 99: . ;* <=  

(77) >*6%20  3%&. '()*3%&'7899: . ?%/0  @A/0%&'B8C D.   EFGHI9:

(78) 9  JCKLMNOPHQ

(79) +RSTU 20%F;= RST U /0 . VWXW%F;=)- YZH[\;9B W899:>9"]20  

(80) +/0  

(81) 9 9(=99:;* <=  YZ20  3%&' 7899:20  

(82) +  ^_%3%&'78 99:`% 4#5 

(83) +20  3%&' 7899:    %F;=!a(^_9YZ bc>W8 .

(84) 9*d;e-fg   hij klYZHQ

(85) +)* %&'B8klYZH[\>

(86) %9

(87) %mn> )*;+:GHop>qrs%>t  ! C /0j t

(88) a(^_9s bc>W8

(89) 9*d;  up-.. .

(90)  

(91)                                                .   . !"

(92) #.     &'(  

(93) $% )*+,-. /0122345

(94) 67%      89)* /0  5

(95).  . 6:;<+,=>

(96) # .   &?@6A

(97) BCDEF&

(98) 496G. 52# .    . '( 

(99) !. ":HHIJ

(100)    

(101) +,&   KBCLB

(102) 13 H;& 

(103) M( !"/012BC NH;& N+,9OP5

(104) # 5LQRSTUVM(WXYBCZ 41[. 4/&. \]6G

(105) # 

(106) ^_5K9`a /0:  BC /CK 6G

(107) # 5LQ'(6M'()*+,-. Bb c RSTUVM(XYBCZ 49)* +,5

(108) # . 44BC c+,&^_ c. RSTUVM(XYBCZ 4+,de45

(109) # 5LQ M(fgh;9[. $)*+,-; 4RSTUV. M(9XYBCZ//0Z/

(110) ij)*kl&mno/

(111) 45

(112) # pqrsUtuTvwVRSTxyzq{|Tr)*+,}~k€. .

(113) . 

(114) . 

(115). !!"#$%&'()*+',-./012. 3456675689

(116) :;<=0

(117) >?@AB CDEFG*HI46J. KLMN

(118) O"#$

(119) PQ'R-S   

(120) TTU(VWX( PU,- % *YZJ [\] ^_(` %abcdefg hg hg hg hg hg hg hg h g hief            .   .   . i*YZJ

(121) TTU./jk glOmh (fi f i*YZJYZ0n'\op/ef iU&Jqr (. st*YZJe uv(w

(122) xqrx %yYz{

(123) "#|D0}3nZJ+',-% *YZuvqrx ( x*nZJ~p/

(124) Y'€ABgegg h h. e

(125) h%‚  ‚ 

(126) ƒYZJTTU ~AB„ 0 †‡* nZ*@

(127) qr%ˆ‰

(128) YZJ

(129)  

(130) Y'Š . ‚ .

(131) ƒYZJ c6‹XŒ Œ gh  qr Ž‘%‚.

(132) ~./k

(133) Y'p/X

(134) Y',-./ ‘%‚  ‚ 

(135) ƒYZJ‚   ‚   %**E

(136) "#’

(137) ( “”•–0 

(138) >Q=*n'QT*03J!Zqrx 0 x %—I*p/X,-./0 k

(139) Y'  . 6˜6f .   i

(140) >Q=

(141) n'QT*03JYZ0n'p/X™.  kš›œ

(142) žY',-AB

(143) p/( f   i

(144) n'QT*03JYZ0n' UŸ+Z"# ¡ 1234,-./056T*¢£*s¤*HI 46J„ €AB% 34 

(145) YZ¢£%¥

(146) ƒJ.

(147)    

(148)  

(149)   . !"#$ %&'()*+,- !./. !%0  0  123456. 7 0 . 0 89:;<4=5> 23456. ?90  0.  @A:> BC>;<4=5> 23456. ?90. . 0. @A:> BC>;<4=5> 23456 DEF7 G>H #$ IJ  . ?9. %89:>?9.

(150)    .  .   K%@A:>;<4=5. L>?9MN J              K %OP>QRSPT,G89:L>;<4=5L>?9 UVWX `S.   YZSP[\]O^O_P!. %a@A:b! GYZSP]O. `S. %`g?9YZSP]O. 6 ii. jk

(151). l >efmn. cdef. h >'()* cdef. SP>["QRG>opPO. 0  ?9j k6. . . %. * €. qrst=2u4vw5;<4Exyrz{4s>cdef>|}~. .

(152)    

(153) .    

(154) .    

(155) . .

(156)   . ! "##$ %&'.   . ! "##$ %&'.   . ! "## $ %&'. 

(157) . .

(158)     

(159).     

(160).     

(161). .

(162)   . ! "##$ %&'.   . ! "##$ %&'.   . ! "##$ %&'. 

(163) . .

(164)    

(165) .    

(166) .    

(167) . .

(168)    . !"#$ %&'()!*#.   *#+ ,-./0. !123456.   *#+ ,-./0. !123456. 

(169) . .

(170)    

(171) .    

(172) .   

(173)  . .

(174)    . !"#$ %&'()!*#.   . !"#$ %&'()!*#.   . !"#$ %&'()!*#. 

(175) . .

(176)    

(177) .    

(178) .    

(179) . .

(180)    . !"#$ %&'()!*+.    . !"#$ %&'()!*+.    . !"#$ %&'()!*+. 

(181) . .

(182) f   456$ghH . !"#$@A. f  456$ghH . !"#$@A. 

(183)   

(184)  . !"#$ %&'()* +. %,-./0123456$%789:./01;-01 %</=/:>?/ @ABCDEFG/ HI /  @A;JKLMNO01  %PQ/0RST  +%,-./01232'U.9:VWXY4 5%Z[/01%</\]^AH _ BCDE@A`= 11a456$%G@AbDC\T2caded. .

(185)   

(186)  

(187)      .  

(188)   "#"$%!"#"&' (.   .

(189) ! . ! )*+,-."#"&. /% 01 %. 223. . 456789 01:;<= % >?,#@@AB C9, @!>?*+$DEF GH?'!AIJFK. L!M"&&NOP6789%&"Q9."#"&

(190)   RS$TU. 223. . 45VW"Q9."#"& X 

(191) YZ[ %! 01:;<\]9 % >?,#@@^_EC9OP. 22`. . YZ[. 22`. .  VW"Q9."#"& >?,#

(192) 

(193) ZKC9ab&01OP 01:; cM d/#9'. e,#e45VW. H?' 'fghiOP "jk B01lmno'pK q<=8raZ/% 22  s 45678r a'Ra'<=aZ/% g% 2 2 tu' pKqvw e,#  !ZK *+$. e45VWB<=  e,# e45VW"&B<=vwx. yz{|}~€‚ƒ„ †€‡ˆ‰zŠ‹€{hiOP01=Œ.

(194) 

(195)   

(196)      !"#$%&'(

(197) )*+, +!./01 23456$ +,7896:;<=> ?1@6$AB'(!-CD E D E D E D E D E D E D E D E D E F-C                 .    .    F+,G !HH3!IJKLDMNOE 1C FCF+,+PQ!;RSJ-C F3T

(198) ,"# 961!  U*+, V"#%&W!- +XY"#V 6

(199) SJ$Z [\Z  ] ,Z [\Z. SJ045  ^L

(200) IJ_`$] , Va3!- 3"#$ bc! Vd3!-  efghij3T

(201) ,Z [\Z. $8

(202) !3klNm !V[\ Vnop_`3DqrE!DEs [\DEstu$vw+Qc

(203) xy3T

(204) zh\{

(205) ,H{\ tu$vw+xy3!-  efgh O1!}~. SJ0|IJ MN. $€!IJ1!‚ƒ[\„{

(206) ij,a. !MNO1 !†~. $,‡ˆ !‰IJ^L.  +Q!SJŠ;RSJ G ‹Œc,H{1!Z [\Z  ] ij[\\[3T

(207) , V$Žhˆƒ3 !SJŠ;R SJ ‹Œ‘HP’[

(208) ,i“!efghW!V"#3! P ,Z [\Z. $”+Q•h

(209) H1!V –!Š —˜xyP‘Qc

(210) H3T

(211) ,. 

(212)  ™31!DEs[\DEstu$vw+Qc

(213) xy3 š› N

(214) efgh$nop ]+,HH31™‡_tu3"#. .

(215)    

(216)   

(217) 

(218) . !". #$% & '()*& '(+,-. /001&234 5' 6

(219) /789:;<=>?0@ .     A B  C D  E . ) * E   @  E  ) * E   CDFGHIJK LMIK ABNDOP@B"! @ Q1RS. 

(220) . )*89. OPTUR. S/0VW  A /XYZ[\]Z[^_ *`23a b cde fg\]hi E  ND& ' ABCD

(221) & '. E  ND& ' ABCD

(222) & '. jklmJLnIopK"GHIqrsktuIl89+,]:v. .

(223)    

(224)  .    

(225)  . 

(226)  . .

(227)   . !"#$ %&'()!*#.   . !"#$ %&'()!*#.   . !"#$ %&'()!*#. 

(228) . .

(229)    

(230)  .    

(231)  .    

(232)  . .

(233)  . !" #$%&'()*!" #.   ()*!+ ,-./0). !.   ()*!+ ,-./0). !. 

(234) . .

(235) P   Q,-R0

(236) S- . P   Q,-R0

(237) S- .  

(238)    "# $%&'. !. "#(" )*+. ,-./"0./1 0234$56789 &: '. "# ;<=: >?0)*,-./>. "@0./AB

(239) 0CDEFGHI JCDEF KLLKM  N M0ABO )*. . ,-,>"@0A.

(240)  

(241)      . !"#$%&'()*  +,-.. /0%1. 2345 678 / 9:;<=< >?@ABCDEFG HI7 8JKLFG MNOLFG P3<Q0 RSTUV WXYZ[\]^_  `abcdefgbchifjk lTm nc o    . 

(242)            .

(243)       

(244)  pqrs[tuvw  xy<

(245) z{|%}abcdf~€<‚ ƒ„abc €†‡ˆ‰cŠ‹`ŒŽTk‘’  

(246) nc o WXYZ[\]^_  `abcd“”•–—˜k lTm

(247) nco CDE[™š›   `œhžŸ –¡¢k £F¤¥  nco 6¦§w[™¨©ª[«¬­®¯  `°ˆ±Šœhžk >lB¤¥ Ž nco ²³´c€ ³oµŠ¶f·RWXYZ¸¹V. 

(248). `abc €efgbchi fj¡¢k lTm  nco º» ¼  xabc €†‡ˆ‰cŠ ½¾œj~¿ÀÁ Ãā   ŋ`ÆÇBÈÉ78k’ nco º» ¼  xœj~¿ÀÁÂā‚ƒ„abc €†‡ˆ‰cŠ   /0Ê }<‹ ŒŽŒË[“”[œhžÌ¢BŽ  nco. ͇ŠÎdÏÐcœÑf[abc €†‡ˆ‰cŠ Ê . Å. .

(249)

参照

関連したドキュメント

「他の条文における骨折・脱臼の回復についてもこれに準ずる」とある

[Nitanda&amp;Suzuki: Fast Convergence Rates of Averaged Stochastic Gradient Descent under Neural Tangent Kernel Regime,

Optimal stochastic approximation algorithms for strongly convex stochastic composite optimization I: A generic algorithmic framework.. SIAM Journal on Optimization,

Dual averaging and proximal gradient descent for online alternating direction multiplier method. Stochastic dual coordinate ascent with alternating direction method

日本の伝統文化 (総合学習、 道徳、 図工) … 10件 環境 (総合学習、 家庭科) ……… 8件 昔の道具 (3年生社会科) ……… 5件.

製造業種における Operational Technology(OT)領域の Digital

ア Tokyo スイソ推進チームへの加入を条件 とし、都民を対象に実施する水素エネルギ ー普及啓発のための取組(① セミナー、シ

印刷物をみた。右側を開けるのか,左側を開け