Solution Manual for First Course in Machine Learning 2nd Edition Exercise Solutions by Simon Rogers and Nark Girolami

Solution Manual for First Course
in Machine Learning 2nd Edition
Exercise Solutions by Simon
Rogers and Nark Girolami

,SOLUTIONS MANUAL FOR
N N




A First Course In
N N N N




Machine Learning N N




(2Nd Edition) Exe
N N




rcise SolutionsN




by
Simon Rogers andMark
N N N N




Girolami




BocaNRatonN LondonN NewNYork

CRCNPressNisNanNimprintNofNthe
TaylorN&NFrancisNGroup,NanNinformaNbusiness

,CRCNPress
TaylorN&NFrancisNGroup
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sinessNNoNclaimNtoNoriginalNU.S.NGovernmentNworks

PrintedN onN acid-
freeN paperNVersionNDate:N
20160404

InternationalN StandardN BookN Number-13:N 978-1-4987-3859-0N (Ancillary)

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m

, Chapter 1 N




EXN 1.1.N AN highN positiveN valueN ofN w0N andN aN smallN negativeN valueN forN w1.N TheseN reflec
tN theNhighN interceptN onN theN tN axisN (correspondingN toN theN theoreticalN timeN winnin
gN timeN atNxN=N0N andN theN smallN decreseN inN winningN timeN overN theN years.


EXN1.2.N TheN followingN wouldN doNtheNjob:

1 %NAttributesNareNstoredNinNNx1NvectorNx
2 %NTargetsNareNstoredNinNNx1NvectorNtNxbN
3 =Nmean(x);
4 tbN=Nmean(t);
5 x2bN=Nmean(x.*x);N
6 xtbN=Nmean(x.*t);
7 w1N =N (xtbN−Nxt*xb)/(x2b−xbˆ2);
8 w0N=Ntb−w1*xb;
9 %NPlotNtheNdataNplot(x,t,'b.','marke
10 rsize',25);
11 %NPlotNtheNmodelNh
12 oldNon;
13 plot(x,w0+w1*x,'r','linewidth',2);




EXN 1.3.N WeN needN toN findN wTXTXw.N We’llN startN withN XTX.N MultiplyingN XTN byN XNgives:

N
ΣN ΣN
T 2
x n1
n=1NN n=1 xn1xn2
XN XN= ΣN ΣN
n=1
xn2 xn1 x2n2
n=1NNN



MultiplyingN thisN byN wN gives:

Σ Σ
T w0 N N 2N +Nw N
1 xn1xn2
n=1 xn1
Σ N N n=1
w0 n=1 xn2 xn1 1+Nw Σ x
N 2
XN XwN= n=1NNN n2

1