w) +Lcseweb.ucsd.edu/classes/wi17/cse151-a/Perceptron.pdfHl4. ".-l-o> ^ro' r-21, f o 19 To\ aqt s-rp...

12
'r-zq+oulc) ,\to sav'o (- t'?t.,) ?w vq/o ,apls otra -1tD qqPd Btr.rr-rran* (+ '?x) ?q1 * F 1a5:so1 -q,o "p1'* rc p q,a6r:fop 6c^..ct-t:o-^{"-J;.X:9 Q) o,nno1dod69 - o.f 5u'uguo{r,u',La) C<*'w2; <'r6ts = k : s-l2 T"{o1 n} 4^4+no '2a' zlQl -//',oxlz +s?+ o <ezr'!P W) 4rr?foD 1$.rsso \2 (r ) Cn/ .rot??n 40 Fq Pa+ua =2rio* ; af,or'r' , a\, t,s - ?(#l -uD & + crP4 o -ro3[ Q < 1*'r*7 'ap.t,s + aq+ <-to * lur-d a DJ .-a,*v1r- 46q aLll aa re4"cvN yotu}ot* = ttv <-rl6uo c16no-r'c11 s? au.p\4-rz46q zu'L't-rsse'cnot' reJ tr d -6- ...uor-$ -r+ saSo'ro{z5 @cft ?cr-a14*r{nq ^o ry ?\o'{' <ro2ao>3-{-tss'oP VA' 9 *F- &D T+ 5.t X'' "Ur\nsS\O - ; ur>?fo?f$tssoP &\o"t't1l q ' zE, uftzstlN\ -^r>S tr ptP"-4 q afin-r' ^o P urj (trm6-o,t ap{?s}P) "f+o\ t +L 6.. ,T, = ? , (t6, t ^Oli',o1F) "p"TFqD1 -<.ta,n19 ril.o ItsJ r-$1sso\) :05 - w) .e-o+tN z-unqeaf @?+1sso\7 ,Lcau\1 z g ahrrfr4 b

Transcript of w) +Lcseweb.ucsd.edu/classes/wi17/cse151-a/Perceptron.pdfHl4. ".-l-o> ^ro' r-21, f o 19 To\ aqt s-rp...

Page 1: w) +Lcseweb.ucsd.edu/classes/wi17/cse151-a/Perceptron.pdfHl4. ".-l-o> ^ro' r-21, f o 19 To\ aqt s-rp 19"-"{ 49rv: 3.9yg;a uL o t L+1. r+Yu2 +fu 65?$0o {.*oq uI O ./< LeZ,, +fw).

'r-zq+oulc) ,\to sav'o (- t'?t.,) ?w vq/o,apls otra -1tD qqPd Btr.rr-rran* (+ '?x) ?q1

*F 1a5:so1 -q,o "p1'* rc p q€ ,a6r:fop 6c^..ct-t:o-^{"-J;.X:9 Q)

o,nno1dod69 - o.f 5u'uguo{r,u',La)C<*'w2; <'r6ts = k

: s-l2 T"{o1 n} 4^4+no '2a' zlQl -//',oxlz+s?+ o <ezr'!P W)4rr?foD 1$.rsso \2 (r )

Cn/ .rot??n 40 Fq Pa+ua =2rio* ; af,or'r'

, a\, t,s - ?(#l -uD & + crP4 o -ro3[

Q < 1*'r*7'ap.t,s + aq+ <-to * lur-d a DJ

.-a,*v1€r- 46q aLll aa re4"cvN yotu}ot* = ttv

<-rl6uo c16no-r'c11 s? au.p\4-rz46q zu'L't-rsse'cnot' reJ tr

d

-6- ...uor-$ -r+ saSo'ro{z5

@cft ?cr-a14*r{nq ^o ry ?\o'{' <ro2ao>3-{-tss'oP VA' 9*F- &D T+ 5.t X'' "Ur\nsS\O -

; ur>?fo?f$tssoP &\o"t't1l q

' zE, uftzstlN\ -^r>S tr ptP"-4 q afin-r' ^o P urj

(trm6-o,t ap{?s}P) "f+o\t +L 6.. ,T,

= ? , (t6, t

^Oli',o1F) "p"TFqD1 -<.ta,n19ril.o ItsJ r-$1sso\)

:05

-w)

.e-o+tNz-unqeaf

@?+1sso\7 ,Lcau\1 z g ahrrfr4 b

Page 2: w) +Lcseweb.ucsd.edu/classes/wi17/cse151-a/Perceptron.pdfHl4. ".-l-o> ^ro' r-21, f o 19 To\ aqt s-rp 19"-"{ 49rv: 3.9yg;a uL o t L+1. r+Yu2 +fu 65?$0o {.*oq uI O ./< LeZ,, +fw).

Hl4. ".-l-o> ^ro' r-21, f o 19 To\ aqt s-rp 19"-"{ 49rv

: 3.9yg;a uL o t L+1. r+Yu2 +fu 65?$0o {.*oq uI

O ./< LeZ,, +fw). lfrv o+ 6urP,-d" 7*La)

a.^o1{-a{S.i dW r afo ag.r; -?at'Ls) a* 4r^o ?uD1C'r-a46n 1+cv"

jow Y 4:a os iob '< *st'r

aun (W cn'/q a16t'uo qal- x+ Y Tzqol s,4' *

*gv6.nuol€ta4 Fq zul

zLl+ <J'o +otlsl htv ?rlv13 W

'(+6 t?r) e o", (EB ,ex)

of 6rl feuo4s?*Lc)$o 7Pl5 'Pv*L€)y 4 os',gb>crr/q o16va +zh Iq fTdpl , ,1* *

. (,fi , t--)

"T)ut-rnbzssa14cr.r.vx3

',uol{ra4 6fi. s ,*p

.. u?1L ' T- = +6,

17,

'"P!s -

i zzsvc

^t +fv i T "SOJs"op -4|oq$ry )k

o > <ry."?w7 ',eqL

4vttow n O 7 {+z,'1tw7 +L- n 4l.o?lpiPuso

?P-LS t

+x,

rvraW O >

v-7<fr

4gn = l++ory?s\1

+k++fv = 1l4W

1+f, ' +t*7 +F, *l,g,B,l=+ LoJ 'e

' o = xW 'ft16o31r'*1 'T/W WY ?

^lu\Lg: nt*qfu,6\y ,uo4)ntn& ?.tL

Page 3: w) +Lcseweb.ucsd.edu/classes/wi17/cse151-a/Perceptron.pdfHl4. ".-l-o> ^ro' r-21, f o 19 To\ aqt s-rp 19"-"{ 49rv: 3.9yg;a uL o t L+1. r+Yu2 +fu 65?$0o {.*oq uI O ./< LeZ,, +fw).

4DP4xiasyc*ax3

r,@3trnlclt -+?zlr(,?r, a,l[ sf,rrogno-l 6r-luotu, 2$o arYy dszs1oa'cr+oq iL/{T-

i uL'x) -1ro ar\a+s?\rr, no o>Twl\tl

l+1yv ;>f alqSsso{ * Sf . +7, +b + +0* -- t++6ry SO t++Cry

?O1 pu,D '(+f, ,+V) -1,tD ?)tEts.)u.o 10 ''7,\olJJ, +f\fv zSo{{vrg

ostry e_l

'Twvt1{rz46'..1

fD ap ls

7x' -,"4 ,"/ I

,y'1 ,l

JO

W ,, @* fiorrno r\ s? ou& l++lw

'4y- *M =

6$op u,l/roq 4r-D l.sl"2p ?q+

?\Jpr yp}Joc'no+ s?^Ottl 4,t-}+ff4

?rw

r++[w |t- = +k: Z, orv)

(arw\Oro"te,{ Ifo ?pls +

tr*yu,rtog'u'Dvs !??p "WLW snPxen q s?^ou,o 4

"bo

'1;4 o ot' J-?sala r s?Aorr{, l++1vy

+X -rr ?M/ z l++f*la = +l\:1 ?19O.

'ob7

',,1x +h * *gty = !r?Mu :Jo @$o-?r$lrz,+Y ?l^fu'o?2

Page 4: w) +Lcseweb.ucsd.edu/classes/wi17/cse151-a/Perceptron.pdfHl4. ".-l-o> ^ro' r-21, f o 19 To\ aqt s-rp 19"-"{ 49rv: 3.9yg;a uL o t L+1. r+Yu2 +fu 65?$0o {.*oq uI O ./< LeZ,, +fw).

(g - 'l) -a

(r -'z) * (r-'e7 akx,h1, + Vgrv -' 9gv oS *

o> th*thwlhF" *

Prfirrq?0

(t - 'e) = €nY = tsv 'ir,?t)'oD

g < <ezo'esr> ePo *

@res

bqv

,k

+€gv

6r"'oguanogztlg1g )c?4,r,,

/

,a"x,

I

o/ats" t}ffir.ogwno&,/\rD$fQA,tt

ew

(t- 'e) = (r't) - (s'v) =

%a1t+Es, z €gy

:/, putlnoy,

(o'v)TX,t6. + I g0,

a/

I

IIIII =yw *

og^zh r*

F* ej. Er.o?urno€, I

| ,<JDlslcaQ,tII

qYv

.-'\ t@'

'TP Crv sO.

7 z q t$ 1qX, *m)

O=

p=ab*

|yy ,<

:l Pwno6

flu1o4 rofo?

^,",{rV' 42 P!eovlf,ndFA6a+Pgdos

(',C,_,6)),G_,(l,o)),(r_,C|,I)),(v,Co,q)),@;a 1d t ctta<1

Page 5: w) +Lcseweb.ucsd.edu/classes/wi17/cse151-a/Perceptron.pdfHl4. ".-l-o> ^ro' r-21, f o 19 To\ aqt s-rp 19"-"{ 49rv: 3.9yg;a uL o t L+1. r+Yu2 +fu 65?$0o {.*oq uI O ./< LeZ,, +fw).

(r-'t*)+'(r= hz.f E * .J: eorv *

= lX tF, + Tcrr = tNv *'o i. 1t7-'tw) | l" *

^^T 'O=TCrrt66roitua

'( ",-'(-tr ' r-) ) ' (t -

*gv jeg EsoPu,rnog,,*qls.tz>65\ ...

%*a

to\7\r/

\A,/

b

txrt

't)

(t''v)'Dl^o+ilLu os

r p pvrmoo

(r'(t-'t))'G- 't) ) ' (v '('o 't) )'.ry1,c1p 6u:upr1- t"6 "\-lffi1g

',+ w/r'o?qx, *

(r 't) i 1s- * n* S\ = €x€fi + Ear, * Voy ?\ fu::*T? )f - ;;;,A- ZT\ o ; . lex,euu> 8r- -* +@< I X ;;;ffi t-+ q Z?, ?'Mq, \Ya'a1 4' .

€N

fi--rr.op uan oA /ro3.s loa(D \sr).o %' (x' o) =

(r- 't) (f 'l) = ex"uW + dau = ew -'(

o S lzx'arw) zk rr

lZ pwyro?L

*

"X-

ECfi

*

o

Page 6: w) +Lcseweb.ucsd.edu/classes/wi17/cse151-a/Perceptron.pdfHl4. ".-l-o> ^ro' r-21, f o 19 To\ aqt s-rp 19"-"{ 49rv: 3.9yg;a uL o t L+1. r+Yu2 +fu 65?$0o {.*oq uI O ./< LeZ,, +fw).

ll r^ ll'\zF;a

ll cn tl-roo =TqA

1l cn ll

TO 'O = "f tB"ot,l'r' ' C)S'r=pt*>lttm ll

j = F,k hr>l i*

'rz11c'r11is+-cpovfo<'rr6-r-ot'u',zul151toqqlyfl

(r - '(q 'r-) )'(t'(r'lo,o)) '(t'(t-'t-)) '('g '(l-'t)) = s "'Ff.,a3

11 w ll s? (6'x)

l <x'tu2l^tttl* z k

:,r! ,+rM an, {o ut6rcu,O '5 P, 6u1upor1 ?u,D (gv 'ro-p'aJt ^o DJ

'alolorvdag 61rroaur1

JtJ-'l

'- aq7 uuq rc+op p?lpafrl + ?LA

6c-rrfor.ro4zs .atrrol4 ;,;,AFxq o t+s.,x, ?L?W '. fln rqa,.o4rs L:cr"\^!1

alcrD.co4?s 61-coa u.1 +oN

*_ +-{- +

6o6*zxtoC e44@pd., saop 4r"qy

Page 7: w) +Lcseweb.ucsd.edu/classes/wi17/cse151-a/Perceptron.pdfHl4. ".-l-o> ^ro' r-21, f o 19 To\ aqt s-rp 19"-"{ 49rv: 3.9yg;a uL o t L+1. r+Yu2 +fu 65?$0o {.*oq uI O ./< LeZ,, +fw).

ColBr"otl, fa

,L /<€{*m eU,2 +F +

..!ozq1u1ffi Hq L/< l{**r+x)i 'otrP'o z lx.,-'+x) +* 4.nP +acd' olq','=,c'.5 )

1*w'*c*) = (*@ t+v(,+ff+ +w7 = ('*@6r++grv)

: qS ' ry-,+fi+ +o = l+fuv

,a>tolSY* e'uo :6e--

.o q o*zq lt '.7 Pq ./1 (** ( t*W7 t+ P'\t/oQJ- {o @>tfo+S!\,"f

.T=ll *vyll

,2, +1gv'&w)

-1tD & u1}-uo..t* ql15rt ,-1r'-r,&'s "L\Daull

ot ao{op'saTplsl{Jc o(o tr}?rry rrar$l:sorD p ao

6ut<.rlo+ -rzAQ ssu{ 't < p"Dt& haU 'E'sallo+s lul ?LDut, 4 rJt6rpu{,, r2fo0-1 ' V

4044';--=,4, 'n^a,q <-Yzs 6qtutu+

'4's -t?s 6u1uPq 2L14

^o ol *trv P1 @,

e-

.2105

'sa>fo+slut- -L/V t S?ryutL

altoaru4rt Fy-'oa urT Yllrylt"o+oP

fr Pu,p 'lu urrBr-'otl, {fl,3rYl

6'u1.rpeq ?q+ jr 6,L-

€f,o(, -<lrBsO1.1n 6rHP+oQ)-<r p6ro14lne'l

tlr6Svc^tnu.edD

Page 8: w) +Lcseweb.ucsd.edu/classes/wi17/cse151-a/Perceptron.pdfHl4. ".-l-o> ^ro' r-21, f o 19 To\ aqt s-rp 19"-"{ 49rv: 3.9yg;a uL o t L+1. r+Yu2 +fu 65?$0o {.*oq uI O ./< LeZ,, +fw).

lofDp Bu tu.no4F 1 r.oa u.t1 +ot"c

ra^ a sr==.ody D{oP ?ql o-tDC/* o>frruL Nt 5D cel notso{as

x,cn alBu)s 16t q of.tzl.ucrc t?)e\)' fi?'cn,*o44-,.a{. 6.rarooo6

ErD p tt4aog

(auraTnJoBp -rn3{o) r$lss"op -ce?ul Il-zqlo at]roS Pr.rlo) "ro,"1d"o t'A

.<{o1g122p ?w o+ zsor) om4rc1Slt,- o''?+ ., aN) a-'?\n ts,3 +o"frl1}t sf?ng,

,1qo*drs 61lr, u.t1 -lso{J'rro qg .r-fop ^{'?qCI }l-',oory

4.ng 6o+rp 6u1u5or1 'tro sa)fo+slt,o fo16awu/, +oq ,o4orro*rs Lp?u!1( ^o p..r$ or +ulDgr ?c'l ( Fl66ozp1

ja\ofor.o

'(porc4,)

[] P+toll llxullCcr, t*+p7

s S'1.'oau1l *ot,,, qf -o{opjPqcry

>1 4 1>{," 'os

.pr,\otl dN S:r s?9?

-l?qq,Lnl, {cnur lu lu, irql

-r>

o/--1 ''

= (** t tHooco/q a16uy ) soc :moN

,1,1'2 (*co'rv+p7

1 pwno*+a ?)rto+sllr, \o

w a,r:..,p1 su,oF

1+2, c {.w) +F"E

'7+*ll4crvll >' T sollex ll

s.o t-t 7t---4.-1

r =ll+x ll :fu +*ll+m ll = *llu. +B+ +an 1l

(q purnov.. +a a>tro+sfu/, O Y @PW

J= -ll r++$ll

'sayp-;s$^. )l .n+\V's?lp+sl..I, >l "LP oL?q o'so{{ns

= * ll t++Cn i\

ir :/ po7

Page 9: w) +Lcseweb.ucsd.edu/classes/wi17/cse151-a/Perceptron.pdfHl4. ".-l-o> ^ro' r-21, f o 19 To\ aqt s-rp 19"-"{ 49rv: 3.9yg;a uL o t L+1. r+Yu2 +fu 65?$0o {.*oq uI O ./< LeZ,, +fw).

(rr* e ?cw>; -Brs re

*' ) ^rots

aorftssop b s'o Frrrlo-rms 4to1 6vol e'otl fo {vrnoc /p ? utc

(^r,*-) ( ' "'(Ur 'z*) t ('a 'lg1') f"4tmO

1=w)ue=

'-1,+%=ul2: zsl3

a=*tCI +u, = \tJ/

+ ,&cw = lltucrv

1+x 6 ulffv > +fr Jf

...-.e,(,,_, =4pJTgrv'T=w'ftpo:1lua

@*o +n4ryo

T*!"t, z' 1)"1)

aX+&+rlgv=l+ultrwnftap O > 1+X'u*W> +h, if

""ce '1,'1=1 PC

O =Trw !l=rJ*' fi6'6o31r.111,

+x +A

:,uary O 5

;^nq6r?il pzha-ony ?u,0 ?"-totrv

Page 10: w) +Lcseweb.ucsd.edu/classes/wi17/cse151-a/Perceptron.pdfHl4. ".-l-o> ^ro' r-21, f o 19 To\ aqt s-rp 19"-"{ 49rv: 3.9yg;a uL o t L+1. r+Yu2 +fu 65?$0o {.*oq uI O ./< LeZ,, +fw).

Cr-'e)= Q/F+ Tcn = €$ 'I -- *> cg = u)t i oS'O ; t VZ,, 'ACwT Ag

= l>dnLq- lg, - V(* c-tr =*,

, Z= * :oS' o = 1-t v-' l tw > a fu : T p-rr"r""qp

-F o z q? ( 1 = r,)L, t g = lgn, ( 6^6foqlLAt

(, '(r-'z-)) '(t- 'g r ,o)) '(t- '(r 'r) ) '(t' (o't) ) i^oirop 6u:u1o-,,1-

la14u,ux3 <rcq4o ,.ta6:

{o uBts fttro.b111x'cw> '1x,'zw) '(x'lwv7 'W 3 d67 W ',41^o-L p"+o/v

(1x' 4n r- z(w+ Itrv )' ; atBrs "zlm;- paBo^a"{

'. 1tzq4'tr=%=\= 1r $r jt-- l (.ao( ?r*7<,,81s trK ) "''8rs -r"d+-'o \ur

: uo4Qo."Q ?"1a/v 4n ?sn ,r.o 4*oD/ 1=!(<* c ?w b 7>) "r6rs +"'4+-o

LY'tx. z14vtvva +ra1 -ro$ ?fo6 4re 3+a) {1ssop -<n4**lr6 gzBorely

'aunQgo q w <tc,7-$o)3$1sso1a ?cr+ -fnq QJ6,4Qttni

'Fato4 w eWgrEP zruLrr3 a\L+ s"5'v1 "or-4Qtrn5 paB'orzly ,

^na{--d, PaBorzrr!v1+ ?oy1 ?ctt to.r:.4 z11og oI 's-t-? r$ tssola atlt fno alo+Sq ervl ?c1 "tpy+ ? .rn4Q-rt-Q ?ato,r ntp. atnllot'{. V

.,2 pttn.o"t,

(a 't)

Page 11: w) +Lcseweb.ucsd.edu/classes/wi17/cse151-a/Perceptron.pdfHl4. ".-l-o> ^ro' r-21, f o 19 To\ aqt s-rp 19"-"{ 49rv: 3.9yg;a uL o t L+1. r+Yu2 +fu 65?$0o {.*oq uI O ./< LeZ,, +fw).
Page 12: w) +Lcseweb.ucsd.edu/classes/wi17/cse151-a/Perceptron.pdfHl4. ".-l-o> ^ro' r-21, f o 19 To\ aqt s-rp 19"-"{ 49rv: 3.9yg;a uL o t L+1. r+Yu2 +fu 65?$0o {.*oq uI O ./< LeZ,, +fw).

*%r%V#r?e

+r*qffi|4rru.**#*ty *wq wAz6fr'r-la$. *ou,' r.L ''-'I = ? ' (yl" ,lZ):toSD1o Eultrlv*J-

', a+ 1? ,,.r.lrofsr,uo*;

(eropcsr =q '"Uarc)Or< q+Af .,?tvt:1{r-zdFq 6u1qea_s4r,

fl'v( a 1fr.'pd ? ?/,'<L' "'T=?' L:Fr'U,) lnof,'oP 6utut.9"r,J

:@'ul-Btle o11 a46'ro.e.q1

rwol{o46t1 ro 61 *1l.1.oo*.1sslrp !-oau}l o1 .l-alqord q4l\.1} ul.-rof,suw-t1 v)@ zryi,

<ty67rg "nLW +or& c,.uol J,\o"ql-I

'("hr's),up6.p,;t - n H s?u)tf)D1^l -toqca71 +rr4*.S tsq pZf^n{** a$O s--3o..,v{29

'":o1d-r*-{ fiq+^4 +"o ,.oqor,.od-g

roao,,.odzs tUl6lpt tt - x"t>1,1

ril = ?v,

fuu. ?cn {nt ,Bwno$ s? ,.a+o{b{p5 ry * auo s.r4o+s. -uarq&a*?d, xru qn6u^sc o+ +trlool

t?Jr\o"1,{11 e+eq) -

@;'Ul,Etou"r, @ Wl-c.tv z1o1-o:rod7s