Швидкість збіжності алгоритму навчання нейрона в залежності від вибору нормуючого множника, Детальна інформація

w0+w1/2-w1*x1/2+...+wn/2-wn*xn/2<0, (1-F)/2=0. (2)

Aeey ia\x00F0oiai \x00F0yaeea (2) F= -1, aeey ae\x00F0oaiai F=1.Oiae\x00B3 io\x00F0eio\x00BAii

w0*2+w1-w1*x1+...+wn-wn*xn>0, F= -1.

w0*2+w1-w1*x1+...+wn-wn*xn<0, F= 1. (3)

Iicia/eii -2*w0-w1-...-wn=a0, w1=a1, ... , wn=an.



Oiae\x00B3: a0+a1*x1+...+an*xn<0, F=-1;

a0+a1*x1+...+an*xn>0, F=1; (3*)

Oae ye o ian w0=-T, oi a0=2*T-w1-...-wn.

Oaeei /eiii, an\x00B3 aaaia\x00B3 eiao\x00B3oe\x00B3\x00BAioe caeeoeeeny aac ci\x00B3i, a ci\x00B3ieany o\x00B3eueee ii\x00F0\x00B3a, yeee iaceaa\x00BAoueny iiaeeo\x00B3eiaaiei ii\x00F0iaii.

Icia/aiiy 6.

Eiiieaeniei iae\x00F0iiii (eiiieaeniiii\x00F0iaiaith ooieoe\x00B3\x00BAth), iaceaa\x00BAoueny oaea aoeueiaa ooieoe\x00B3y F(x1,x2,...,xn) aeey yei? \x00B3niothoue oae\x00B3 eiiieaeni\x00B3 aaaia\x00B3 eiao\x00B3oe\x00B3\x00BAioe (a0,a1,...,an), ui P(a0+a1*x1+...+an*xn)= =F(x1,x2,...,xn)

Oai\x00F0aia.

Aoaeue-yea aoeueiaa ooieoe\x00B3y \x00F0aae\x00B3co\x00BAoueny oi\x00B3aa\x00F0naeueiei iae\x00F0iiii iaae iieai eiiieaenieo /enae N [5].

Iiiyooy eiiieaeniiai iae\x00F0iia \x00F0icoe\x00F0th\x00BA \x00B3iaeaia\x00F0i\x00B3 iiaeeeaino\x00B3 \x00F0aae\x00B3caoe\x00B3? iae\x00F0ii\x00B3a.

\x00D0icae\x00B3e 2

(1. Aeai\x00F0eoi iaa/aiiy ii\x00F0iaiai iae\x00F0iia iaae iieai eiiieaenieo /enae.

Aieiaiith iaoith aeaiii? \x00F0iaioe \x00BA ia\x00F0aa\x00B3\x00F0ea ia i\x00F0aeoeoe\x00B3 aeai\x00F0eoio iaa/aiiy iae\x00F0iia cai\x00F0iiiiiaaiiai i\x00F0io. I.I.Aecaiaa\x00F0aii oa ciaoiaeaeaiiy iioeiaeueiiai ii\x00F0ioth/iai iiiaeieea, yeee aea\x00BA iaee\x00F0auo oaeaee\x00B3noue ca\x00B3aeiio\x00B3.

\x00B2oa\x00F0aoe\x00B3? aoaeaii i\x00F0iaiaeeoe ii oi\x00F0ioe\x00B3:

)*Xj/N (1)

aea WS - n+1-aei\x00B3\x00F0iee aaaiaee aaeoi\x00F0;

N - ii\x00F0ioth/ee iiiaeiee;

- iiia\x00F0 naeoi\x00F0a, eoaea iiiaea aaaiaa noia W;

m=cos(2*Pi*m/k)+i*sin(2*Pi*m/k) aea k - e\x00B3euee\x00B3noue naeoi\x00F0\x00B3a,

ia ye\x00B3 \x00F0icaeoi eiiieaeeaenio ieiueio;

{1,-1} i=1,...,n;

W=w0+w1*x1+...+wn*xn - aaaiaa noia.

Iaoae caaeaii f(X)=f(x1,x2,....,xn) - aoeueiaa ooieoe\x00B3y a\x00B3ae n ci\x00B3iieo.Iaa/eoe aoeueiao ooieoe\x00B3th ia iaai\x00F0\x00B3 X=(x1,x2,...,xn) oea cia/eoue

ciaeoe oae\x00B3 aaae w0,w1,...,wn, uia P(w0+w1*x1+...+wn*xn)=f(x1,x2,...,xn). Iaa/aoe iae\x00F0ii aoaeaii iine\x00B3aeiaii ia an\x00B3o iaai\x00F0ao, \x00F0ici\x00B3uaieo a eaeneeia\x00F0ao\x00B3/i\x00F0io ii\x00F0yaeeo. sseui ia aeayeiio iaai\x00F0\x00B3 cia/aiiy iae\x00F0iia ia ni\x00B3aiaaea\x00BA c\x00B3 cia/aiiyi aeo\x00B3aei? ooieoe\x00B3? oi iiaoi\x00F0th\x00BAii \x00B3oa\x00F0aoe\x00B3? ii oi\x00F0ioe\x00B3 (1), aeiee cia/aiiy ii\x00F0iaiaiai aeaiaioo ia aoaea ni\x00B3aiaaeaoe \x00B3c cia/aiiyi ooieoe\x00B3? ia aeaiiio iaai\x00F0\x00B3. Iaa/a\x00BAii iae\x00F0ii aeioe, aeiee ia an\x00B3o iaai\x00F0ao ia aoaea ni\x00B3aiaaeaiiy \x00B3c cia/aiiyie ooieoe\x00B3?. I\x00F0aaeeeao P(n), aea n - eiiieaenia /enei caaeaii ia eiiieaeni\x00B3e ieiuei\x00B3 \x00F0icaeo\x00B3e ia k naeoi\x00F0\x00B3a oae : P(n)=1 , yeui /enei n iiiaei a naeoi\x00F0 c ia\x00F0iei iiia\x00F0ii \x00B3 P(n)= -1, yeui n iiiaei a naeoi\x00F0 c iaia\x00F0iei iiia\x00F0ii. Ioia\x00F0aoe\x00B3y naeoi\x00F0\x00B3a ii/eia\x00BAoueny c ioey i\x00F0ioe aiaeeiieeiai? no\x00F0\x00B3eee.

(2. \x00D0acoeueoaoe \x00B3 aeniiaee.