Last Lecture Summary ADALINE
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1 Lat Lctu Summa ADALIN Analtical Solution Gadint Bad Laning Batch Laning Incmntal Laning Laning Rat Adatation Statitical Inttation Aland Bnadino Machin Laning 9/ ADALIN N l l l T Aland Bnadino al@i.it.utl.t Machin Laning 9/
2 Analtical Solution ( ) N N N N T R L M O M L Aland Bnadino al@i.it.utl.t Machin Laning 9/ R * N d d d M Gadint Bad Laning Batch Mod Initializ igth at abita valu Din a laning at η. Rat until toing citia Fo ach attn in th taining t Incmntal Mod Initializ igth at abita valu Din a laning at η. Rat until toing citia Saml Randoml attn om th Fo ach attn in th taining t Al to th adalin inut Obv th outut and comut th o d Fo ach ight k accumulat th oduct k. At ocing all attn udat ach ight k b: Saml Randoml attn om th Taining St. Al to th adalin inut Obv th outut and comut th o d Udat ach ight k b: ( ) ( ) k t k t k η ( ) ( ) k t k t k η
3 Laning Rat Adatation n η ( n) < η( n) n.9 η ( n) η n τ Aland Bnadino al@i.it.utl.t Machin Laning 9/ Statitical Inttation R T T ( ) [ XX ] d [ DX ] Aland Bnadino al@i.it.utl.t Machin Laning 9/
4 aml: Lan Logical AND AND Aland Bnadino Machin Laning 9/ ( ) { }... d T T Logical AND: Analtical Solution Add bia tm T Aland Bnadino al@i.it.utl.t Machin Laning 9/ R...
5 Logical AND: Analtical Solution In Matlab: >> X [ ; ; ; ]; >> D [;;;]; Solution: >> R ¼*X*X ; >> ¼*X*D; >> W inv(r)*;... Aland Bnadino al@i.it.utl.t Machin Laning 9/ Logical AND : Saating Hlan.. T.... Bina outut: dciion thhold..... ~....7 dividing b (..) Aland Bnadino al@i.it.utl.t Machin Laning 9/
6 Logical AND Batch Laning Simulation 6 Logical AND - Batch laning.. Logical AND - Batch laning Man Squad o Wight. 6 7 Itation. Logical AND - Batch laning Itation Aland Bnadino al@i.it.utl.t Machin Laning 9/ Logical AND Incmntal Laning Stochatic (andom attn lction)... Logical AND - Incmntal laning Wight Logical AND - Incmntal laning Man Squad o Itation Logical AND - Incmntal laning Itation Aland Bnadino al@i.it.utl.t Machin Laning 9/
7 Logical AND Incmntal Laning Squntial (cclic attn lction).. Logical AND - Incmntal laning. Wight Logical AND - Incmntal laning Man Squad o Itation Logical AND - Incmntal laning Itation Aland Bnadino al@i.it.utl.t Machin Laning 9/ Homok Lan th logical OR. T out laning at adatation chdul. Aland Bnadino al@i.it.utl.t Machin Laning 9/
8 Nual Ntok Intoduction to ML M A C H I N L A R N I N G 9 / ADALIN Limitation Dit ala convging th olution ma not b actabl hn cla a not linal aabl..g. Th cluiv OR AND Aland Bnadino al@i.it.utl.t Machin Laning 9/
9 Th cluiv OR Solution X [ ; ; ; ]; D [;;;]; R ¼*X*X ; ¼*X*D; W inv(r)*; Solution:. Th outut i contant (.) indndntl o th inut! Aland Bnadino al@i.it.utl.t Machin Laning 9/ Multil Unit Solution: u multil intconnctd unit oganizd in la. What logical unction i imlmntd b thi ntok? Aland Bnadino al@i.it.utl.t Machin Laning 9/
10 Th Cdit Aignmnt oblm Mink and at (cton 969) hod that abita logical unction can b imlmntd b multi-la ntok o thhold unit. Hov th alo ho that it i not oibl to lan th ight o unit that a not dictl connctd to th outut! Thi i knon a th cdit aignmnt oblm. Th aon i that th thhold unction i not dintiabl. Chang in th ight ma not oduc an chang in th outut. Multi-La Lina Unit Having a multi la ntok o lina unit alo do not olv th oblm. Sho that a multi-la ntok o lina unit i quivalnt to a ingl unit and tho i onl good o linal abl oblm. Aland Bnadino al@i.it.utl.t Machin Laning 9/
11 Sot-Thhold Solution: u mooth and dintiabl thhold. Aland Bnadino al@i.it.utl.t Machin Laning 9/ Sigmoid Function Ticall igmoid unction a mlod. Sigmoid a S-had unction. Logitic unction ( ( ) ( ) ( ( ) ) ) Divativ Aland Bnadino al@i.it.utl.t Machin Laning 9/
12 Sigmoid Function Hbolic Tangnt Ac-Tangnt ( ) tanh π ( ) actan π Aland Bnadino al@i.it.utl.t Machin Laning 9/ Sot Nuon T ( ) Aland Bnadino al@i.it.utl.t Machin Laning 9/
13 A oking aml Aland Bnadino Machin Laning 9/ Ho chang in imov laning tm? What about? Woking aml Inlunc o : ( ) ( ) Aland Bnadino al@i.it.utl.t Machin Laning 9/ ( ) ( ) d
14 Woking aml ( ) ( ) ( ) Aland Bnadino al@i.it.utl.t Machin Laning 9/ All valu involvd in th um can b comutd duing th ntation o th attn to th ntok. ( ) ( ) 6 Woking aml Inlunc o : ( ) ( ) Aland Bnadino al@i.it.utl.t Machin Laning 9/ ( ) ( ) d
15 Woking aml ( ) ( ) ( ) Aland Bnadino al@i.it.utl.t Machin Laning 9/ ( ) ( ) 6 6 ( ) ( ) ( ) ( ) ( ) ( ) 6 Woking aml ( ) ( ) ( ) ( ) 6 Aland Bnadino al@i.it.utl.t Machin Laning 9/ ( ) ( ) ( ) ( ) ( ) ( ) ( ) 6
16 Woking aml ( ) ( ) ( ) ( ) ( ) ( ) 6 Aland Bnadino al@i.it.utl.t Machin Laning 9/ All valu in th um can b comutd in duing th ntation o th attn to th ntok. But th ion a not v a to ok ith...
Neural Networks The ADALINE
Lat Lctu Summay Intouction to ua to Bioogica uon Atificia uon McCuoch an itt LU Ronbatt cton Aan Bnaino, a@i.it.ut.t Machin Laning, 9/ ua to h ADALI M A C H I L A R I G 9 / cton Limitation cton aning u
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