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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Revisiting the Multi-Criteria Recommender System of a Learning Portal</article-title>
      </title-group>
      <pub-date>
        <year>2012</year>
      </pub-date>
      <fpage>35</fpage>
      <lpage>48</lpage>
      <kwd-group>
        <kwd>'*</kwd>
        <kwd>7"9&lt;0"7+0"(&amp; 0+&lt;$??+)I+0&amp; %3%7+?</kwd>
        <kwd>&amp; +TG+0"?+)7(</kwd>
        <kwd>&amp; ")M+%7"1(7"$)</kwd>
        <kwd>&amp; 0+(</kwd>
        <kwd>&amp;</kwd>
        <kwd>"P+&amp;I+G</kwd>
        <kwd>$3?+)7</kwd>
        <kwd>&amp;</kwd>
        <kwd>+(0)")1&amp;G$07(</kwd>
        <kwd>&amp;</kwd>
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  </front>
  <body>
    <sec id="sec-1">
      <title>1 Introduction</title>
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2</p>
    </sec>
    <sec id="sec-2">
      <title>Background</title>
      <sec id="sec-2-1">
        <title>2.1 Multi-Criteria Collaborative Filtering</title>
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&lt;$)70(%7.&amp; ?$I+,9R(%+I&amp; 7+&lt;=)"S*+%&amp; ,+(0)&amp; (&amp; G0+I"&lt;7"M+&amp; ?$I+,.&amp; 73G"&lt;(,,3&amp; *%")1&amp; %7(7"%7"&lt;(,&amp;
$0&amp;?(&lt;=")+9,+(0)")1&amp;?+7=$I%&amp;7=(7&amp;&lt;()&amp;R+%7&amp;+TG,(")&amp;7=+&amp;$R%+0M+I&amp;I(7(.&amp;()I&amp;7=+)&amp;*%+&amp;7=+&amp;
,+(0)+I&amp; ?$I+,&amp; 7$&amp; +%7"?(7+&amp; 7=+&amp; *7","73&amp; $P&amp; *)#)$:)&amp; "7+?%&amp; P$0&amp; 0+&lt;$??+)I(7"$)%@&amp;
K"PP+0+)7&amp; (GG0$(&lt;=+%&amp; ?(3&amp; R+&amp; (,%$&amp; P$,,$:+I&amp; R3&amp; 7=+&amp; (,1$0"7=?%&amp; I+M+,$G+I&amp; 7$&amp; %*GG$07&amp;
?*,7"9&lt;0"7+0"(&amp; &lt;$,,(R$0(7"M+&amp; P",7+0")1@&amp; Y$0&amp; ")%7()&lt;+.&amp; (,1$0"7=?%&amp; ?(3&amp; W8I$?(M"&lt;"*%&amp; ^&amp;
2:$).&amp;5LL&gt;Z&amp;'()$*%+,"%&amp;^&amp;F$%7$G$*,$*.&amp;5LL&gt;X_&amp;&amp;</p>
        <p>&amp;
x
x
703&amp;7$&amp;G0+I"&lt;7&amp;7=+&amp;7$7(,&amp;*7","73&amp;P$0&amp;()&amp;"7+?&amp;*%")1&amp;7=+&amp;7$7(,&amp;*7","73&amp;M(,*+%&amp;7=(7&amp;7=+&amp;"7+?&amp;
=(%&amp;P$0&amp;$7=+0&amp;*%+0%Z&amp;
703&amp; 7$&amp; &lt;(,&lt;*,(7+&amp; (&amp; %+G(0(7+&amp; G0+I"&lt;7"$)&amp; G+0&amp; +(&lt;=&amp; &lt;0"7+0"$)&amp; ()I&amp; 7=+)&amp; *%+&amp; 7=+&amp; *7","73&amp;
P*)&lt;7"$)&amp;")&amp;$0I+0&amp;7$&amp;(&lt;S*"0+&amp;7=+&amp;G0+I"&lt;7+I&amp;7$7(,&amp;*7","73@&amp;</p>
      </sec>
      <sec id="sec-2-2">
        <title>2.2 Case Study</title>
        <p>x
x</p>
        <p>Stage A - Similarity Calculation:&amp; %"?",(0"73&amp; R+7:++)&amp; 7=+&amp; +T(?")+I&amp; *%+0&amp; W(&lt;7"M+&amp;
*%+0X&amp;()I&amp;7=+&amp;0+%7&amp;$P&amp;7=+&amp;*%+0%&amp;"%&amp;&lt;(,&lt;*,(7+I&amp;*%")1&amp;%$?+&amp;%"?",(0"73&amp;?+(%*0+Z&amp;&amp;
Stage B - Feature Weighting:&amp; P*07=+0&amp; :+"1=7&amp; %"?",(0"73&amp; (&lt;&lt;$0I")1&amp; 7$&amp; 7=+&amp;
&lt;=(0(&lt;7+0"%7"&lt;%&amp;$P&amp;+(&lt;=&amp;+T(?")+I&amp;*%+0&amp;$0&amp;%$?+&amp;=+*0"%7"&lt;&amp;0*,+%Z&amp;
Stage C - Neighborhood Formation/Selection:&amp; %+,+&lt;7&amp; 7=+&amp; %+7&amp; $P&amp; *%+0%&amp; 7$&amp; R+&amp;
&lt;$)%"I+0+I&amp;P$0&amp;G0$I*&lt;")1&amp;7=+&amp;G0+I"&lt;7"$)Z&amp;&amp;
x Stage D - Combining Ratings for Prediction:&amp;)$0?(,"4+&amp;7=+&amp;0(7")1%&amp;7=(7&amp;7=+&amp;*%+0%&amp;
")&amp;7=+&amp;)+"1=R$0=$$I&amp;=(M+&amp;G0$M"I+I&amp;P$0&amp;7=+&amp;*)#)$:)&amp;"7+?.&amp;()I&amp;*%+&amp;%$?+&amp;?+7=$I&amp;
7$&amp;&lt;$?R")+&amp;7=+?&amp;")&amp;$0I+0&amp;7$&amp;G0+I"&lt;7&amp;"7%&amp;*7","73&amp;P$0&amp;7=+&amp;(&lt;7"M+&amp;*%+0@&amp;
&amp;
;=+&amp; "?G,+?+)7+I&amp; ?*,7"9&lt;0"7+0"(&amp; +T7+)%"$)&amp; "%&amp; &lt;(,,+I&amp; 7=+&amp; Similarity per evaluation
(PG)&amp;(,1$0"7=?@&amp;H7&amp;&lt;(,&lt;*,(7+%&amp;7=+&amp;G0+I"&lt;7"$)&amp;$P&amp;7=+&amp;7$7(,&amp;*7","73&amp; RWa. iX $P&amp;(&amp;7(01+7&amp;"7+?&amp;
i  Items .&amp;R3&amp;&lt;(,&lt;*,(7")1&amp;#&amp;G0+I"&lt;7"$)%&amp;$P&amp;=$:&amp;7=+&amp;(&lt;7"M+&amp;*%+0&amp;:$*,I&amp;+M(,*(7+&amp;"&amp;*G$)&amp;
+(&lt;=&amp; $)+&amp; $P&amp; 7=+&amp; &lt;0"7+0"(.&amp; ()I&amp; 7=+)&amp; %3)7=+%"4+%&amp; 7=+%+&amp; G0+I"&lt;7"$)%&amp; ")7$&amp; (&amp; 7$7(,&amp; *7","73&amp;
M(,*+@&amp;&amp;</p>
        <p>6")&lt;+&amp;7=+&amp;"?G,+?+)7(7"$)&amp;$P&amp;7=+&amp;0+&lt;$??+)I(7"$)&amp;(,1$0"7=?&amp;7$$#&amp;G,(&lt;+&amp;I*0")1&amp;7=+&amp;
I+%"1)&amp;%7(1+&amp;$P&amp;7=+&amp;G$07(,.&amp;:+&amp;R(%+I&amp;$*0&amp;%+,+&lt;7"$)&amp;$)&amp;7=+&amp;+TG+0"+)&lt;+&amp;P0$?&amp;(&amp;,(R&amp;7+%7")1&amp;
+TG+0"?+)7&amp; 7=(7&amp; 7$$#&amp; G,(&lt;+&amp; *%")1&amp; ()&amp; +T"%7")1&amp; I(7(&amp; %+7&amp; P0$?&amp; ()$7=+0&amp; ,+(0)")1&amp; G$07(,&amp;
W'()$*%+,"%&amp; +7&amp; (,@.&amp; 5L-LX@&amp; O+%*,7%&amp; $P&amp; 7=+&amp; %"?*,(7+I&amp; +T+&lt;*7"$)&amp; $P&amp; ?$0+&amp; 7=()&amp; BNL&amp;
M(0"(7"$)%&amp;$P&amp;7=+&amp;J/&amp;(,1$0"7=?&amp;$M+0&amp;7="%&amp;I(7(&amp;%+7&amp;")I"&lt;(7+I&amp;7=(7&amp;"7&amp;:$*,I&amp;?(#+&amp;%+)%+&amp;7$&amp;
"?G,+?+)7&amp; (&amp; M+0%"$)&amp; 7=(7_&amp; *%+%&amp; (&amp; F$%")+fV+&lt;7$0&amp; I"%7()&lt;+&amp; P*)&lt;7"$)&amp; 7$&amp; ?+(%*0+&amp;
%"?",(0"73&amp; R+7:++)&amp; *%+0%Z&amp; +)1(1+%&amp; (&amp; F$00+,(7"$)&amp; U+"1=7&amp; ;=0+%=$,I&amp; WFU;X&amp; 7$&amp; %+,+&lt;7&amp;
*%+0%&amp;7=(7&amp;=(M+&amp;%"?",(0"73&amp;M(,*+&amp;$P&amp;?$0+&amp;7=()&amp;L@A&amp;P$0&amp;7=+&amp;)+"1=R$0=$$IZ&amp;()I&amp;&lt;(,&lt;*,(7+%&amp;
G0+I"&lt;7+I&amp;0(7")1%&amp;(%&amp;(&amp;:+"1=7+I&amp;?+()&amp;$P&amp;7=+&amp;0(7")1%&amp;7=(7&amp;7=+&amp;)+"1=R$0%&amp;=(M+&amp;1"M+)&amp;$M+0&amp;
()&amp;*)#)$:)&amp;"7+?@&amp;;="%&amp;M(0"(7"$)&amp;=(%&amp;%=$:)&amp;7$&amp;(&lt;="+M+&amp;(&amp;'+()&amp;8R%$,*7+&amp;i00$0&amp;W'8iX&amp;
$M+0&amp;7=+&amp;G0+I"&lt;7"$)&amp;$P&amp;,+%%&amp;7=()&amp;L@&gt;&amp;W")&amp;(&amp;%&lt;(,+&amp;-9AX&amp;()I&amp;(&amp;&lt;$M+0(1+&amp;&lt;,$%+&amp;7$&amp;&gt;Lk&amp;$P&amp;7=+&amp;
"7+?%@&amp;&amp;</p>
        <p>!+M+07=+,+%%.&amp;7=+&amp;P(&lt;7&amp;7=(7&amp;7=+&amp;%G+&lt;"P"&lt;&amp;(,1$0"7=?&amp;$0&amp;M(0"(7"$)&amp;G+0P$0?+I&amp;:+,,&amp;$M+0&amp;
(&amp;I(7(&amp;%+7&amp;&lt;$?")1&amp;P0$?&amp;(&amp;%"?",(0&amp;(GG,"&lt;(7"$)&amp;&lt;$)7+T7&amp;W7=(7&amp;"%.&amp;$P&amp;(&amp;G$07(,&amp;:"7=&amp;,+(0)")1&amp;
0+%$*0&lt;+%X&amp;I$+%&amp;)$7&amp;?+()&amp;7=(7&amp;"7&amp;:$*,I&amp;(,%$&amp;G+0P$0?&amp;:+,,&amp;I*0")1&amp;7=+&amp;$G+0(7"$)&amp;$P&amp;7=+&amp;
a01()"&lt;@iI*)+7&amp;G$07(,@&amp;;=+0+&amp;(0+&amp;%+M+0(,&amp;0+(%$)%&amp;P$0&amp;7="%_&amp;&amp;</p>
        <p>&amp;
x ;=+&amp; G0$G+07"+%&amp; $P&amp; 7=+&amp; *%+0%&amp; M%@&amp; "7+?%&amp; ?(70"T&amp; $P&amp; a01()"&lt;@iI*)+7&amp; ?(3&amp; R+&amp; I"PP+0+)7&amp;
7=()&amp;7=+&amp;$)+%&amp;$P&amp;7=+&amp;I(7(%+7&amp;$P&amp;7=+&amp;$7=+0&amp;(GG,"&lt;(7"$)@&amp;
x ;=+&amp;G0$G+07"+%&amp;$P&amp;7=+&amp;a01()"&lt;@iI*)+7&amp;?(70"T&amp;?(3&amp;&lt;=()1+f+M$,M+&amp;:"7=&amp;7"?+@&amp;
x 8,7+0)(7"M+&amp; (,1$0"7=?%&amp; W+@1@&amp; )+:&amp; $)+%&amp; G0$G$%+I&amp; ")&amp; ,"7+0(7*0+X&amp; 7=(7&amp; :+0+&amp; )$7&amp;
")&lt;,*I+I&amp;")&amp;7=+&amp;")"7"(,&amp;+TG+0"?+)7(7"$)&amp;?(3&amp;G0$M+&amp;7$&amp;G+0P$0?&amp;R+77+0&amp;7=()&amp;7=+&amp;$)+&amp;
%+,+&lt;7+I@&amp;</p>
        <p>&amp;
;$&amp; 7="%&amp; +)I.&amp; :+&amp; I+&lt;"I+I&amp; 7$&amp; 0+G+(7&amp; 7=+&amp; +TG+0"?+)7(,&amp; ")M+%7"1(7"$)&amp; $P&amp; &lt;()I"I(7+&amp;
(,1$0"7=?%&amp; P$0&amp; 7=+&amp; a01()"&lt;@iI*)+7&amp; G$07(,.&amp; *%")1&amp; (II"7"$)(,&amp; (,1$0"7=?%&amp; (%&amp; $G7"$)%.&amp; (%&amp;
:+,,&amp; (%&amp; (&amp; %3)7=+7"&lt;&amp; I(7(&amp; %+7&amp; 7=(7&amp; 70"+%&amp; 7$&amp; ?"?"&lt;&amp; (&amp; P*7*0+&amp; %7(7+&amp; :=+0+&amp; *%+0%&amp; :",,&amp; =(M+&amp;
G0$M"I+I&amp;?$0+&amp;?*,7"9&lt;0"7+0"(&amp;0(7")1%&amp;$M+0&amp;7=+&amp;+I*&lt;(7"$)(,&amp;0+%$*0&lt;+%@&amp;
&amp;</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>Methodology</title>
      <sec id="sec-3-1">
        <title>3.1 Experimental Setting</title>
        <p>;=+&amp;?(")&amp;1$(,&amp;$P&amp;7=+&amp;+TG+0"?+)7(,&amp;7+%7")1&amp;=(%&amp;R++)&amp;7$&amp;")M+%7"1(7+&amp;7=+&amp;&amp;G+0P$0?()&lt;+&amp;$P&amp;
I"PP+0+)7&amp;M(0"(7"$)%&amp;$P&amp;R$7=&amp;7=+&amp;(,1$0"7=?&amp;&lt;*00+)7,3&amp;"?G,+?+)7+I&amp;")&amp;a01()"&lt;@iI*)+7&amp;(%&amp;
:+,,&amp;(%&amp;(,7+0)(7"M+&amp;?*,7"9&lt;0"7+0"(&amp;0+&lt;$??+)I(7"$)&amp;(,1$0"7=?%@&amp;;=+&amp;%G+&lt;"P"&lt;&amp;$RQ+&lt;7"M+%&amp;
=(M+&amp;R++)_&amp;
&amp;
x
;$&amp;*%+&amp;(&amp;&lt;*00+)7&amp;")%7()&lt;+&amp;$P&amp;7=+&amp;*%+0%&amp;M%@&amp;"7+?%&amp;?(70"T&amp;$P&amp;a01()"&lt;@iI*)+7&amp;")&amp;$0I+0&amp;
7$&amp;+T+&lt;*7+&amp;(,,&amp;&lt;()I"I(7+&amp;M(0"(7"$)%&amp;()I&amp;?+(%*0+&amp;7=+"0&amp;+TG+&lt;7+I&amp;G+0P$0?()&lt;+@&amp;
x ;$&amp; 1+)+0(7+&amp; (&amp; %3)7=+7"&lt;&amp; I(7(&amp; %+7&amp; 7=(7&amp; ?"?"&lt;%&amp; ()&amp; ")%7()&lt;+&amp; $P&amp; 7=+&amp; a01()"&lt;@iI*)+7&amp;
&lt;$??*)"73&amp;")&amp;7=+&amp;P*7*0+.&amp;()I&amp;+TG,$0+&amp;"P&amp;G+0P$0?()&lt;+&amp;$P&amp;7=+&amp;&lt;()I"I(7+&amp;(,1$0"7=?%&amp;
:$*,I&amp;R+&amp;+TG+&lt;7+I&amp;7$&amp;&lt;=()1+&amp;")&amp;7=+&amp;P*7*0+@&amp;</p>
        <p>&amp;
;=+&amp; +M(,*(7"$)&amp; G0$7$&lt;$,&amp; P$,,$:%&amp; 7=+&amp; 73G"&lt;(,&amp; %7+G%&amp; $P&amp; $PP,")+&amp; +TG+0"?+)7%&amp; :"7=&amp; G0+9
&lt;$,,+&lt;7+I&amp; $0&amp; %"?*,(7+I&amp; I(7(&amp; 7=(7&amp; 6=()"&amp; ^&amp; /*)(:(0I()(&amp; W5L--X&amp; (,%$&amp; I+%&lt;0"R+I&amp; P$0&amp;
7+%7")1&amp;7=+&amp;G+0P$0?()&lt;+&amp;$P&amp;&lt;()I"I(7+&amp;(,1$0"7=?%@&amp;/+)+0(,,3&amp;%G+(#")1.&amp;$*0&amp;+TG+0"?+)7&amp;
P$,,$:%&amp;7=+&amp;(GG0$(&lt;=&amp;$P&amp;%"?",(0&amp;+TG+0"?+)7%&amp;")&amp;$7=+0&amp;I$?(")%&amp;Wb+0,$&lt;#+0&amp;+7&amp;(,@.&amp;5LL[X&amp;
$0&amp; +I*&lt;(7"$)&amp; Wd+?"0+&amp; +7&amp; (,@.&amp; 5LLAZ&amp; 6"&lt;","(&amp; +7&amp; (,@.&amp; 5L-LX@&amp; ;=+&amp; P$,,$:")1&amp; G(0(10(G=%&amp;
I+%&lt;0"R+&amp;7=+&amp;%+77")1%.&amp;?+7=$I%&amp;()I&amp;7$$,%&amp;$P&amp;7=+&amp;+TG+0"?+)7(,&amp;")M+%7"1(7"$)@&amp;&amp;
;=+&amp; $PP,")+&amp; +TG+0"?+)7&amp; 7$$#&amp; G,(&lt;+&amp; *%")1&amp; (&amp; %$P7:(0+&amp; +)M"0$)?+)7&amp; 7=(7&amp; =(%&amp; R++)&amp;
%G+&lt;"P"&lt;(,,3&amp; I+M+,$G+I&amp; ()I&amp; *%+I&amp; P$0&amp; 7=+&amp; %"?*,(7"$)&amp; $P&amp; ?*,7"9&lt;0"7+0"(&amp; 0+&lt;$??+)I+0&amp;
%3%7+?%.&amp; &lt;(,,+I&amp; 7=+&amp; Collaborative Filtering Simulator (CollaFiS). ;="%&amp; +)M"0$)?+)7&amp;
(,,$:%&amp;P$0&amp;"?G$07")1&amp;M(0"$*%&amp;I(7(&amp;%+7%.&amp;G(0(?+7+0"4")1&amp;&lt;()I"I(7+&amp;(,1$0"7=?%.&amp;+T+&lt;*7")1&amp;
7=+?&amp; ()I&amp; ?+(%*0")1&amp; +TG+&lt;7+I&amp; G+0P$0?()&lt;+&amp; *%")1&amp; ?*,7"G,+&amp; G+0P$0?()&lt;+&amp; ?+70"&lt;%&amp;
W'()$*%+,"%&amp;^&amp;F$%7$G$*,$*.&amp;5LLNX@&amp;;=+&amp;CollaFiS&amp;+)M"0$)?+)7&amp;=(%&amp;R++)&amp;+T7+)I+I&amp;7$&amp;
%*GG$07&amp;7=+&amp;(,1$0"7=?%&amp;()I&amp;?+70"&lt;%&amp;7=(7&amp;(0+&amp;G(07"&lt;*,(0,3&amp;%7*I"+I&amp;")&amp;7="%&amp;+TG+0"?+)7.&amp;(%&amp;
I+%&lt;0"R+I&amp; ,(7+0@&amp; CollaFiS&amp; G0$M"I+%&amp; 7=+&amp; $G7"$)&amp; P$0&amp; +TG+0"?+)7(,,3&amp; 7+%7")1&amp; 7=+&amp; ?*,7"9
&lt;0"7+0"(&amp;(,1$0"7=?%&amp;G0$G$%+I&amp;R3&amp;'()$*%+,"%&amp;^&amp;F$%7$G$*,$*&amp;W5LL&gt;X@&amp;U+&amp;=(M+&amp;+T7+)I+I&amp;
7=+&amp; G0+M"$*%&amp; "?G,+?+)7(7"$)&amp; $P&amp; CollaFiS ")&amp; $0I+0&amp; 7$&amp; (,%$&amp; ")&lt;,*I+&amp; %$?+&amp; (,1$0"7=?%&amp;
G0$G$%+I&amp;R3&amp;8I$?(M"&lt;"*%&amp;^&amp;2:$)&amp;W5LL&gt;X@&amp;aM+0(,,.&amp;7=+&amp;%7*I"+I&amp;(,1$0"7=?%&amp;")&lt;,*I+I_&amp;&amp;
&amp;
x
x
x
7=+&amp; Similarity per evaluation (PG)&amp; (,1$0"7=?&amp; W&lt;*00+)7,3&amp; "?G,+?+)7+I&amp; ")&amp;
a01()"&lt;@iI*)+7X&amp;7=(7&amp;&lt;(,&lt;*,(7+%&amp;%"?",(0"73&amp;%+G(0(7+,3&amp;*G$)&amp;+(&lt;=&amp;&lt;0"7+0"$).&amp;G0+I"&lt;7%&amp;
7=+&amp; 0(7")1&amp; (,%$&amp; %+G(0(7+,3&amp; *G$)&amp; +(&lt;=&amp; &lt;0"7+0"$).&amp; ()I&amp; 7=+)&amp; "%&amp; %3)7=+%"4")1&amp; 7=+&amp;
G0+I"&lt;7"$)%&amp;")7$&amp;(&amp;7$7(,&amp;G0+I"&lt;7+I&amp;*7","73Z&amp;&amp;
7=+&amp; Average Similarity (AS) and Minimum or Worst-case Similarity (WS)&amp;
(,1$0"7=?&amp;M+0%"$)%&amp;G0$G$%+I&amp;R3&amp;8I$?(M"&lt;"*%&amp;^&amp;2:$)&amp;W5LL&gt;X&amp;7=(7&amp;*%+&amp;+"7=+0&amp;7=+&amp;
(M+0(1+&amp; $0&amp; 7=+&amp; ?")"?*?&amp; $P&amp; 7=+&amp; %"?",(0"7"+%&amp; $M+0&amp; +(&lt;=&amp; &lt;0"7+0"$)&amp; ")&amp; $0I+0&amp; 7$&amp;
&lt;(,&lt;*,(7+&amp;7=+&amp;7$7(,&amp;G0+I"&lt;7+I&amp;*7","73Z&amp;&amp;
%$?+&amp;Non-personalised&amp;(,1$0"7=?%&amp;(%&amp;(&amp;R(%"&lt;&amp;&lt;$?G(0"%$).&amp;%*&lt;=&amp;(%&amp;1"M")1&amp;0()I$?&amp;
M(,*+%&amp;(%&amp;G0+I"&lt;7"$)%&amp;$0&amp;&lt;(,&lt;*,(7")1&amp;()&amp;(0"7=?+7"&lt;.&amp;1+$?+70"&lt;(,&amp;$0&amp;I+M"(7"$)9P0$?9
?+()&amp;:+"1=7+I&amp;%*?&amp;$P&amp;(,,&amp;G(%7&amp;+M(,*(7"$)%@&amp;</p>
        <p>&amp;
Y$0&amp; 7=+&amp; G+0%$)(,"4+I&amp; (,1$0"7=?% (PG, AS, WS) :+&amp; =(M+&amp; &lt;$)%"I+0+I&amp; 7=+&amp; P$,,$:")1&amp;
I+%"1)&amp; $G7"$)%&amp; ")&amp; $0I+0&amp; 7$&amp; %7*I3&amp; I"PP+0+)7&amp; M(0"(7"$)%&amp; :"7=")&amp; 7=+&amp; 1+)+0"&lt;&amp; %7+G%&amp; $P&amp;
b+0,$&lt;#+0&amp;+7&amp;(,@&amp;W5LL5X&amp;I+%&lt;0"R+I&amp;")&amp;%+&lt;7"$)&amp;5@5_&amp;&amp;</p>
        <p>&amp;
x during Stage A - Similarity Calculation:&amp; +T(?")+I&amp; 7=+&amp; &lt;(,&lt;*,(7"$)&amp; $P&amp; 7=+&amp;
%"?",(0"73&amp; *%")1&amp; 7=+&amp; i*&lt;,"I"().&amp; V+&lt;7$0fF$%")+.&amp; ()I&amp; J+(0%$)&amp; I"%7()&lt;+&amp; P*)&lt;7"$)%&amp; (%&amp;
$G7"$)%@&amp;&amp;
x during Stage C - Neighborhood Formation/Selection:&amp;+T(?")+I&amp;R$7=&amp;7=+&amp;*%+&amp;$P&amp;(&amp;
Correlation Weight Threshold&amp; WFU;X&amp; P$0&amp; 7=+&amp; %"?",(0"73&amp; M(,*+&amp; (%&amp; (&amp; %+,+&lt;7$0&amp; $P&amp;
G$7+)7"(,&amp;)+"1=R$0%.&amp;(%&amp;:+,,&amp;(%&amp;$P&amp;()&amp;(R%$,*7+&amp;M(,*+&amp;P$0&amp;7=+&amp; Maximum Number of
Neighbors&amp;W'!!X@&amp;&amp;
x during Stage D - Combining Ratings for Prediction:&amp; +T(?")+I&amp; 7=0++&amp; I"PP+0+)7&amp;
$G7"$)%&amp;P$0&amp;%3)7=+%"4")1&amp;G(07"(,&amp;*7","7"+%.&amp;"@+@&amp;&lt;(,&lt;*,(7")1&amp;7=+&amp;G0+I"&lt;7"$)&amp;(%&amp;(&amp;%"?G,+&amp;
(0"7=?+7"&lt;&amp; ?+().&amp; (%&amp; (&amp; ?+()&amp; :+"1=7+I&amp; R3&amp; 7=+&amp; %"?",(0"73&amp; M(,*+.&amp; (%&amp; :+,,&amp; (%&amp; (&amp;
)$0?(,"4+I&amp; :+"1=7+I&amp; ?+()&amp; 7=(7&amp; 7(#+%&amp; ")7$&amp; &lt;$)%"I+0(7"$)&amp; (,%$&amp; 7=+&amp; I+M"(7"$)&amp; P0$?&amp;
7=+&amp;(0"7=?+7"&lt;&amp;?+()&amp;W(%&amp;b+0,$&lt;#+0&amp;+7&amp;(,@&amp;5LL5&amp;%*11+%7X@&amp;
&amp;
;="%&amp; ,+I&amp; 7$&amp; -l&amp; M(0"(7"$)%&amp; $P&amp; +(&lt;=&amp; +T(?")+I&amp; (,1$0"7=?@&amp; ]3&amp; (,%$&amp; +TG+0"?+)7")1&amp; :"7=&amp;
M(0"$*%&amp; M(,*+%&amp; P$0&amp; 7=+&amp; FU;&amp; W5L&amp; M(0"(7"$)%&amp; R+7:++)&amp; mLc&amp; ()I&amp; m-c&amp; (%&amp; (&amp; 7=0+%=$,IX&amp; ()I&amp;
'!!&amp; W5L&amp; M(0"(7"$)%&amp; *%")1&amp; m-c&amp; 7$&amp; m5Lc&amp; ?(T"?*?&amp; )+"1=R$0%X&amp; G(0(?+7+0%.&amp; 7=+&amp; )*?R+0&amp;
10+:&amp;7$&amp;?$0+&amp;7=()&amp;-.LlL&amp;(,1$0"7=?"&lt;&amp;M(0"(7"$)%&amp;+TG,$0+I&amp;")&amp;7$7(,@&amp;&amp;</p>
        <p>;=+0+&amp;(0+&amp;%+M+0(,&amp;G+0P$0?()&lt;+&amp;?+70"&lt;%&amp;*%+I&amp;")&amp;7=+&amp;,"7+0(7*0+@&amp;H)&amp;7="%&amp;+TG+0"?+)7&amp;:+&amp;
+T(?")+I&amp;7=+&amp;P$,,$:")1&amp;+M(,*(7"$)&amp;?+70"&lt;%&amp;7=(7&amp;CollaFiS ")&lt;$0G$0(7+%_&amp;
&amp;
x
x</p>
        <p>Accuracy_&amp;7$&amp;?+(%*0+&amp;7=+&amp;G0+I"&lt;7"M+&amp;(&lt;&lt;*0(&lt;3&amp;$P&amp;7=+&amp;?*,7"9&lt;0"7+0"(&amp;(,1$0"7=?%.&amp;:+&amp;
&lt;(,&lt;*,(7+I&amp; 7=+&amp; ?+()9(R%$,*7+&amp; +00$0&amp; W'8iX@&amp; '8i&amp; "%&amp; 7=+&amp; ?$%7&amp; P0+S*+)7,3&amp; *%+I&amp;
?+70"&lt;&amp; :=+)&amp; +M(,*(7")1&amp; 0+&lt;$??+)I+0&amp; %3%7+?%@&amp; b+0,$&lt;#+0&amp; +7&amp; (,@&amp; W5LL[X&amp; =(M+&amp;
I+?$)%70(7+I&amp;7=(7&amp;%")&lt;+&amp;"7&amp;"%&amp;%70$)1,3&amp;&lt;$00+,(7+I&amp;:"7=&amp;?()3&amp;$7=+0&amp;G0$G$%+I&amp;?+70"&lt;%&amp;
P$0&amp; 0+&lt;$??+)I+0&amp; %3%7+?%.&amp; "7&amp; &lt;()&amp; R+&amp; G0+P+00+I&amp; (%&amp; +(%"+0&amp; 7$&amp; ?+(%*0+.&amp; =(M")1&amp; (,%$&amp;
:+,,&amp;*)I+0%7$$I&amp;%"1)"P"&lt;()&lt;+&amp;?+(%*0+%@&amp;&amp;
Coverage_&amp;&amp;7$&amp;?+(%*0+&amp;7=+&amp;&lt;$M+0(1+&amp;$P&amp;7=+&amp;?*,7"9&lt;0"7+0"(&amp;(,1$0"7=?%.&amp;:+&amp;&lt;(,&lt;*,(7+I&amp;
7=+&amp; "7+?%&amp; P$0&amp; :="&lt;=&amp; ()&amp; (,1$0"7=?&amp; &lt;$*,I&amp; G0$I*&lt;+&amp; (&amp; 0+&lt;$??+)I(7"$).&amp; (%&amp; (&amp;
G+0&lt;+)7(1+&amp; $P&amp; 7=+&amp; 7$7(,&amp; )*?R+0&amp; $P&amp; "7+?%@&amp; b+0,$&lt;#+0&amp; +7&amp; (,@&amp; W5LL[X&amp; 0+&lt;$??+)I&amp; 7=+&amp;
?+(%*0+?+)7&amp;$P&amp;&lt;$M+0(1+&amp;")&amp;&lt;$?R")(7"$)&amp;:"7=&amp;(&lt;&lt;*0(&lt;3@&amp;&amp;
&amp;
;:$&amp; I"PP+0+)7&amp; I(7(&amp; %+7%&amp; =(M+&amp; R++)&amp; *%+I&amp; 7$&amp; %*GG$07&amp; 7=+&amp; %"?*,(7+I&amp; +T+&lt;*7"$)&amp; $P&amp; 7=+&amp;
(,1$0"7=?%@&amp; ]$7=&amp; =(M+&amp; R++)&amp; "?G$07+I&amp; ")7$&amp; CollaFiS ()I&amp; (GG0$G0"(7+,3&amp; G0$&lt;+%%+I@&amp; ;$&amp;
P(&lt;","7(7+&amp;7=+&amp;+T+&lt;*7"$)&amp;$P&amp;7=+&amp;+TG+0"?+)7%.&amp;7=+3&amp;=(M+&amp;R++)&amp;%G,"7&amp;")7$&amp;$)+&amp;70(")")1&amp;()I&amp;
$)+&amp;7+%7")1&amp;&lt;$?G$)+)7&amp;W*%")1&amp;()&amp;lLk\5Lk&amp;%G,"7X@&amp;</p>
        <p>;=+&amp;P"0%7&amp;I(7(&amp;%+7&amp;Wai0+(,X&amp;=(%&amp;R++)&amp;(&amp;0+&lt;+)7&amp;+TG$07f")%7()&lt;+&amp;$P&amp;7=+&amp;*%+0%&amp;M%@&amp;"7+?%&amp;
?(70"T&amp;$P&amp;a01()"&lt;@iI*)+7.&amp;:"7=&amp;7=+&amp;&lt;$,,+&lt;7+I&amp;?*,7"9&lt;0"7+0"(&amp;0(7")1%&amp;7=(7&amp;7=+&amp;*%+0%&amp;$P&amp;7=+&amp;
G$07(,&amp; =(M+&amp; G0$M"I+I&amp; $M+0&amp; 7=+&amp; &lt;$)7+)7&amp; "7+?%@&amp; &amp; 8%&amp; ?+)7"$)+I&amp; R+P$0+.&amp; a01()"&lt;@iI*)+7&amp;
&lt;$,,+&lt;7%&amp; *%+0&amp; +M(,*(7"$)%&amp; $M+0&amp; 7=0++&amp; &lt;0"7+0"(&amp; 7=(7&amp; (0+&amp; (,,&amp; 0(7+I&amp; *%")1&amp; (&amp; I"%&lt;0+7+&amp; %&lt;(,+&amp;
P0$?&amp;-&amp;7$&amp;A@&amp;H)&amp;7="%&amp;0+(,&amp;I(7(%+7.&amp;``&amp;*%+0%&amp;=(M+&amp;G0$M"I+I&amp;[&gt;&gt;&amp;?*,7"9&lt;0"7+0"(&amp;0(7")1%&amp;$M+0&amp;
B[A&amp;"7+?%@&amp;&amp;</p>
        <p>;=+&amp; %+&lt;$)I&amp; I(7(&amp; %+7&amp; :(%&amp; (&amp; %"?*,(7+I&amp; $)+&amp; Wai%"?X&amp; 7=(7&amp; 70"+I&amp; 7$&amp; 0+G0+%+)7&amp; (&amp; P*7*0+&amp;
%7(7+&amp; $P&amp; 7=+&amp; Users x Items&amp; ?(70"T&amp; $P&amp; a01()"&lt;@iI*)+7@&amp; '$0+&amp; %G+&lt;"P"&lt;(,,3.&amp; 7=+&amp;
I"%70"R*7"$)%&amp;$P&amp;7=+&amp;0(7")1%&amp;$P&amp;7=+&amp;a80+(,&amp;I(7(%+7&amp;:+0+&amp;7(#+)&amp;(%&amp;")G*7&amp;7$&amp;(&amp;'$)7+&amp;F(0,$&amp;
1+)+0(7$0&amp;$P&amp;0()I$?&amp;?*,7"9&lt;0"7+0"(&amp;0(7")1%&amp;$P&amp;7=+&amp;%(?+&amp;*%+0%@&amp;;=+&amp;&lt;$)%"I+0+I&amp;%&lt;+)(0"$&amp;
"%&amp; 7=(7&amp; 7=+&amp; &lt;*00+)7&amp; *%+0%&amp; 7=(7&amp; =(M+&amp; R++)&amp; 0(7")1&amp; (&amp; %(?G,+&amp; $P&amp; 7=+&amp; a01()"&lt;@iI*)+7&amp; "7+?%&amp;
G0$M"I+&amp;?$0+&amp;0(7")1%&amp;$)&amp;7="%&amp;%G+&lt;"P"&lt;&amp;%(?G,+&amp;$P&amp;(,0+(I3&amp;0(7+I&amp;"7+?%&amp;")&amp;$0I+0&amp;7$&amp;?(#+&amp;"7&amp;
?$0+&amp;I+)%+@&amp;;=+&amp;G0$I*&lt;+I&amp;%3)7=+7"&lt;&amp;I(7(%+7&amp;")&lt;$0G$0(7+%&amp;7=+&amp;$0"1")(,&amp;0+(,&amp;$)+.&amp;=(%&amp;7=+&amp;
%(?+&amp; )*?R+0&amp; $P&amp;*%+0%&amp; ()I&amp; "7+?%.&amp; ()I&amp; ")&lt;,*I+%&amp; (&amp; 7$7(,&amp; )*?R+0&amp; $P&amp; -.5lL&amp;?*,7"9&lt;0"7+0"(&amp;
0(7")1%@&amp; H)&amp; (&amp; %"?",(0&amp; :(3.&amp; (,7+0)(7"M+&amp; %&lt;+)(0"$%&amp; &lt;$*,I&amp; R+&amp; &lt;$)%"I+0+I.&amp; :"7=&amp; ?$0+&amp; *%+0%&amp;
()If$0&amp;"7+?%.&amp;()I&amp;:"7=&amp;?$0+&amp;I+)%+&amp;$0&amp;%G(0%+&amp;I(7(&amp;%+7%@&amp;&amp;
&amp;</p>
      </sec>
      <sec id="sec-3-2">
        <title>Variation</title>
        <p>-LLk&amp;
-LLk&amp;
-LLk&amp;
-LLk&amp;
B&gt;@l`k&amp;</p>
      </sec>
      <sec id="sec-3-3">
        <title>Algorithm</title>
      </sec>
      <sec id="sec-3-4">
        <title>Similarity</title>
      </sec>
      <sec id="sec-3-5">
        <title>Top-5 MNN variations over OEreal dataset</title>
        <p>PG F$%")+&amp; K'++M(")(&amp;7"$)9P0$?9
PG i*&lt;,"I"()&amp; 6"?G,+&amp;'+()&amp;
PG F$%")+&amp; U+"1=7+I&amp;'+()&amp;
AS i*&lt;,"I"()&amp; K'++M(")(&amp;7"$)9P0$?9
WS F$%")+&amp; K'++M(")(&amp;7"$)9P0$?9</p>
      </sec>
      <sec id="sec-3-6">
        <title>Top-5 CWT variations over OEreal dataset</title>
        <p>PG F$%")+&amp; K'++M(")(&amp;7"$)9P0$?9
PG F$%")+&amp; 6"?G,+&amp;'+()&amp;
AS F$%")+&amp; K'++M(")(&amp;7"$)9P0$?9
WS F$%")+&amp; K'++M(")(&amp;7"$)9P0$?9
AS F$%")+&amp; 6"?G,+&amp;'+()&amp;
B&gt;@l`k&amp;</p>
        <p>AVG
MAE
L@``5l&amp;
L@lNAL&amp;</p>
      </sec>
      <sec id="sec-3-7">
        <title>Top-5 MNN variations over OEsim dataset</title>
        <p>PG i*&lt;,"I"()&amp; 6"?G,+&amp;'+()&amp;
PG F$%")+&amp; 6"?G,+&amp;'+()&amp;
PG F$%")+&amp; K'++M(")(&amp;7"$)9P0$?9
AS i*&lt;,"I"()&amp; K'++M(")(&amp;7"$)9P0$?9
WS i*&lt;,"I"()&amp; K'++M(")(&amp;7"$)9P0$?9</p>
      </sec>
      <sec id="sec-3-8">
        <title>Top-5 CWT variations over OEsim dataset</title>
        <p>PG F$%")+&amp; 6"?G,+&amp;'+()&amp;
PG F$%")+&amp; U+"1=7+I&amp;'+()&amp;
PG F$%")+&amp; K'++M(")(&amp;7"$)9P0$?9
AS F$%")+&amp; K'++M(")(&amp;7"$)9P0$?9
AS F$%")+&amp; U+"1=7+I&amp;'+()&amp;</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4 Results</title>
      <p>H)&amp; 7="%&amp; %+&lt;7"$)&amp; :+&amp; :",,&amp; G0+%+)7&amp; 7=+&amp; 0+%*,7%&amp; 7=(7&amp; =(M+&amp; R++)&amp; G0$I*&lt;+I&amp; R3&amp; 7=+&amp; F$,,(Y"6&amp;
7$$,.&amp; (P7+0&amp; +T+&lt;*7")1&amp; (,,&amp; 7=+&amp; %7*I"+I&amp;M(0"(7"$)%&amp; $P&amp; 7=+&amp; (,1$0"7=?%@&amp; Y$0&amp; +(&lt;=&amp;I(7(%+7&amp; :+&amp;
(0+&amp;1$")1&amp;7$&amp;G0+%+)7&amp;7$G9A&amp;%+7%&amp;$P&amp;$G7"$)%.&amp;R(%+I&amp;$)&amp;?+70"&lt;%&amp;?+)7"$)+I&amp;(R$M+@&amp;&amp;</p>
      <sec id="sec-4-1">
        <title>4.1 Real Data Set</title>
        <p>;=+&amp; +T+&lt;*7"$)&amp; $P&amp; 7=+&amp; &lt;()I"I(7+&amp; (,1$0"7=?%&amp; $M+0&amp; 7=+&amp; ai0+(,&amp; I(7(%+7&amp; I"I&amp; )$7&amp; G0$M"I+&amp;
M+03&amp; 1$$I&amp; 0+%*,7%@&amp; H7&amp; %++?%&amp; 7=(7&amp; 7=+&amp; ?(Q$0"73&amp; $P&amp; 7=+&amp; 7+%7+I&amp; M(0"(7"$)%&amp; G+0P$0?+I&amp; (&amp; R"7&amp;
R+77+0&amp; 7=()&amp; 7=+&amp; )$)9G+0%$)(,"%+I&amp; (,1$0"7=?%&amp; W;(R,+&amp; -X&amp; R*7&amp; %7",,&amp; :"7=&amp; (&amp; M+03&amp; ,$:&amp;
&lt;$M+0(1+&amp; 7=(7&amp; :(%&amp; ")&amp; 7=+&amp; M"&lt;")"73&amp; $P&amp; -Nk9-lk&amp; $P&amp; 7=+&amp; "7+?%&amp; P$0&amp; :="&lt;=&amp; (&amp; G0+I"&lt;7"$)&amp;
)++I+I&amp;7$&amp;R+&amp;?(I+@&amp;8%&amp;;(R,+&amp;5&amp;%=$:%.&amp;7=+0+&amp;(0+&amp;%$?+&amp;M(0"(7"$)%&amp;W,"#+&amp;the PG Cosine
Deviation-from-Mean&amp;:"7=&amp;R$7=&amp;'!!&amp;()I&amp;FU;&amp;G(0(?+7+0%X&amp;7=(7&amp;=(I&amp;()&amp;(&lt;&lt;+G7(R,+&amp;
'8i&amp;7=(7&amp;"%&amp;R+,$:&amp;m-c@&amp;67",,&amp;:+&amp;&lt;$)%"I+0&amp;7="%&amp;+00$0&amp;7$&amp;R+&amp;0(7=+0&amp;="1=&amp;P$0&amp;()&amp;$G+0(7"$)(,&amp;
0+&lt;$??+)I+0&amp; %3%7+?@&amp; ;=+%+&amp; 0+%*,7%&amp; "?G,3&amp; 7=(7&amp; 7=+&amp; G+0P$0?()&lt;+&amp; $P&amp; ()3&amp; (,1$0"7=?&amp;
:$*,I&amp; R+&amp; Q*I1+I&amp; )$7&amp; %(7"%P(&lt;7$03&amp; "P&amp; $),3&amp; 7=+&amp; &lt;*00+)7&amp; I(7(&amp; %+7&amp; $P&amp; a01()"&lt;@iI*)+7&amp; :(%&amp;
*%+I&amp;P$0&amp;+TG+0"?+)7(7"$)@&amp;&amp;</p>
        <p>H)&amp;Y"1*0+%&amp;-&amp;()I&amp;5&amp;W()I&amp;")&amp;(,,&amp;I"(10(?%&amp;$P&amp;7="%&amp;G(G+0X.&amp;7=+&amp;&lt;$)7")*$*%&amp;,")+%&amp;(0+&amp;*%+I&amp;
7$&amp; ",,*%70(7+&amp; 7=+&amp; G+0P$0?()&lt;+&amp; $P&amp; PG&amp; M(0"(7"$)%.&amp; 7=+&amp; =+(M3&amp; I(%=+I&amp; $)+%&amp; 7=+&amp; AS&amp;
M(0"(7"$)%.&amp; ()I&amp; 7=+&amp; ,"1=7,3&amp; I(%=+I&amp; $)+%&amp; 7=+&amp; WS&amp; M(0"(7"$)%@&amp; ;=+%+&amp; I"(10(?%&amp; ",,*%70(7+&amp;
7=(7&amp; 7=+&amp; PG&amp; M(0"(7"$)%&amp; %++?&amp; 7$&amp; R+&amp; 1+)+0(,,3&amp; G+0P$0?")1&amp; R+77+0&amp; 7=()&amp; 7=+&amp; AS&amp; ()I&amp; WS&amp;
$)+%@&amp;!+M+07=+,+%%.&amp;7="%&amp;G+0P$0?()&lt;+&amp;%++?%&amp;7$&amp;R+&amp;0(7=+0&amp;,$:&amp;$M+0&amp;7=+&amp;ai0+(,&amp;I(7(&amp;%+7@&amp;
&amp;
&amp;</p>
        <p>Fig. 2.&amp; '8i&amp; ?+70"&lt;&amp; G+0P$0?()&lt;+&amp; M(,*+%&amp; P$0&amp; 7$G9A&amp; '!!&amp; M(0"(7"$)%&amp; $M+0&amp; ai0+(,&amp;
I(7(&amp;%+7&amp;</p>
      </sec>
      <sec id="sec-4-2">
        <title>4.2 Synthetic Data Set</title>
        <p>;=+&amp;+T+&lt;*7"$)&amp;$P&amp;7=+&amp;&lt;()I"I(7+&amp;(,1$0"7=?%&amp;$M+0&amp;7=+&amp;%3)7=+7"&lt;&amp;ai%"?&amp;I(7(%+7&amp;%++?+I&amp;7$&amp;
G+0P$0?&amp;?*&lt;=&amp;R+77+0&amp;$M+0&amp;7=+&amp;$0"1")(,&amp;ai0+(,&amp;$)+.&amp;(%&amp;$)+&amp;:$*,I&amp;=(M+&amp;+TG+&lt;7+I&amp;W%")&lt;+&amp;
(&amp;?$0+&amp;I+)%+&amp;M+0%"$)&amp;$P&amp;7=+&amp;I(7(%+7&amp;=(%&amp;R++)&amp;&lt;0+(7+IX@&amp;8%&amp;"7&amp;"%&amp;(,%$&amp;%=$:)&amp;")&amp;;(R,+&amp;5.&amp;
7=+&amp;?(Q$0"73&amp;$P&amp;7=+&amp;$*7%7()I")1&amp;M(0"(7"$)%&amp;=(M+&amp;(&amp;0(7=+0&amp;1$$I&amp;&lt;$M+0(1+&amp;7=(7&amp;"%&amp;&lt;,$%+&amp;7$&amp;
WP$0&amp;FU;X&amp;()I&amp;?$0+&amp;7=()&amp;WP$0&amp;'!!X&amp;NLk@&amp;&amp;</p>
        <p>6*0G0"%")1,3&amp; 7=+&amp; '8i&amp; 0+%*,7%&amp; %++?&amp; 7$&amp; R+&amp; (7&amp; 7=+&amp; ,+M+,&amp; $P&amp; 7=+&amp; non-personalised&amp;
(,1$0"7=?%&amp; W(,%$&amp; G0+%+)7+I&amp; ")&amp; ;(R,+&amp; -X&amp; ()I&amp; (0$*)I&amp; L@lN&amp; P$0&amp; 7=+&amp; PG MNN Euclidian
Simple Mean&amp; ()I&amp; 7=+&amp; PG CWT Cosine Simple Mean@&amp; H7&amp; %++?%&amp; 7=(7&amp; M+03&amp; %"?G,+&amp;
(,1$0"7=?%&amp;7=(7&amp;&lt;0+(7+&amp;:+"1=7+I&amp;%*?%&amp;$P&amp;7=+&amp;G(%7&amp;0(7")1%.&amp;%*&lt;=&amp;(%&amp;7=+&amp;Arithmetic Mean&amp;
()I&amp; 7=+&amp; Geometrical Mean.&amp; ?(3&amp; G0$M"I+&amp; G0+I"&lt;7"$)%&amp; 7=(7&amp; =(M+&amp; ,+%%&amp; '8i&amp; 7=()&amp; 7=+&amp;
&lt;$,,(R$0(7"M+&amp;P",7+0")1&amp;M(0"(7"$)%@&amp;;="%&amp;&lt;$*,I&amp;R+&amp;I*+&amp;7$&amp;7=+&amp;P(&lt;7&amp;7=(7&amp;7=+&amp;%"?*,(7+I&amp;*%+0%&amp;
=(M+&amp; G0$M"I+I&amp; (II"7"$)(,&amp; 0(7")1%&amp; :"7=&amp; %"?",(0&amp; I"%70"R*7"$)%&amp; R*7&amp; %7",,&amp; %*&lt;=&amp; (&amp; %"?G,"%7"&lt;&amp;
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Y"1*0+%&amp; B&amp; ()I&amp; [&amp; %=$:&amp; 7=(7&amp; ")&amp; ?$%7&amp; &lt;(%+%&amp; 7=+&amp; PG&amp; M(0"(7"$)%&amp; %++?&amp; 7$&amp; R+&amp; G+0P$0?")1&amp;
R+77+0&amp; 7=()&amp; 7=+&amp; AS ()I&amp; WS&amp; $)+%.&amp; (,7=$*1=&amp; 7=+&amp; I"PP+0+)&lt;+%&amp; (0+&amp; %?(,,@&amp; ;$&amp; P*07=+0&amp;
")M+%7"1(7+&amp; :="&lt;=&amp; :$*,I&amp; R+&amp; 7=+&amp; ?$0+&amp; (GG0$G0"(7+&amp; (,1$0"7=?&amp; M(0"(7"$)%&amp; 7$&amp; %*GG$07&amp;
0+&lt;$??+)I(7"$)&amp; ")&amp; a01()"&lt;@iI*)+7&amp; ")&amp; %*&lt;=&amp; (&amp; P*7*0+&amp; %&lt;+)(0"$.&amp; :+&amp; I"I&amp; ()&amp; (II"7"$)(,&amp;
+TG+0"?+)7(,&amp;()(,3%"%@&amp;&amp;
&amp;
&amp;</p>
        <p>Fig. 3. '8i&amp; ?+70"&lt;&amp; G+0P$0?()&lt;+&amp; P$0&amp; 7$G9A&amp; FU;&amp; M(0"(7"$)%&amp; P0$?&amp; (,,&amp; &lt;()I"I(7+&amp;
M(0"(7"$)%&amp;$M+0&amp;ai%"?&amp;I(7(&amp;%+7&amp;
&amp;
&amp;</p>
        <p>Fig. 4.&amp; '8i&amp; ?+70"&lt;&amp; G+0P$0?()&lt;+&amp; P$0&amp; 7$G9A&amp; '!!&amp; M(0"(7"$)%&amp; P0$?&amp; (,,&amp; &lt;()I"I(7+&amp;
M(0"(7"$)%&amp;$M+0&amp;ai%"?&amp;I(7(&amp;%+7&amp;</p>
        <p>&amp;
'$0+&amp; %G+&lt;"P"&lt;(,,3.&amp; :+&amp; ")M+%7"1(7+I&amp; 7=+&amp; G+0P$0?()&lt;+&amp; $P&amp; 7=+&amp; 7:$&amp; (,1$0"7=?%&amp; 7=(7&amp;
G+0P$0?+I&amp;R+77+0&amp;$M+0&amp;7=+&amp;0+(,&amp;I(7(%+7&amp;Wai0+(,X&amp;(,%$&amp;$M+0&amp;7=+&amp;%3)7=+7"&lt;&amp;ai%"?@&amp;H)&amp;7="%&amp;
:(3&amp;:+&amp;70"+I&amp;7$&amp;+T(?")+&amp;"P&amp;%$?+&amp;$P&amp;7=+&amp;(,1$0"7=?&amp;M(0"(7"$)%&amp;7=(7&amp;G+0P$0?+I&amp;")&amp;(&amp;1$$I&amp;
:(3&amp; $M+0&amp; &lt;*00+)7&amp; I(7(.&amp; :$*,I&amp; (,%$&amp; G+0P$0?&amp; ")&amp; (&amp; %"?",(0&amp; :(3&amp; $M+0&amp; (&amp; P*7*0+&amp; %7(7+&amp; $P&amp;
a01()"&lt;@iI*)+7@&amp; 8%&amp; ",,*%70(7+I&amp; ")&amp; ;(R,+&amp; B.&amp; 7=+%+&amp; (,1$0"7=?&amp; M(0"(7"$)%&amp; %++?+I&amp; 7$&amp; (,%$&amp;
G+0P$0?&amp;")&amp;(&amp;%(7"%P(&lt;7$03&amp;:(3&amp;$M+0&amp;7=+&amp;ai%"?&amp;I(7(@&amp;6$?+&amp;$P&amp;7=+?&amp;%++?&amp;7$&amp;R+&amp;&lt;$??$)&amp;
(&lt;0$%%&amp;(,,&amp;I(7(&amp;%+7%.&amp;:"7=&amp;?$%7&amp;G0$?")+)7&amp;R+")1&amp;7=+&amp;PG Cosine Deviation-from-Mean
M(0"(7"$)@&amp;&amp;</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusions</title>
      <p>H)&amp; 7="%&amp; G(G+0&amp; :+&amp; ")M+%7"1(7+I&amp; =$:&amp; 7=+&amp; 0+&lt;$??+)I(7"$)&amp; (,1$0"7=?&amp; *%+I&amp; ")&amp; (&amp; 0+(,&amp; ,"P+&amp;
"?G,+?+)7(7"$)&amp; $P&amp; (&amp; ?*,7"9&lt;0"7+0"(&amp; 0+&lt;$??+)I+0&amp; %3%7+?&amp; G+0P$0?%&amp; *)I+0&amp; M(0"$*%&amp;
+TG+0"?+)7(,&amp; &lt;$)I"7"$)%.&amp; R3&amp; *%")1&amp; (%&amp; ")G*7&amp; I"PP+0+)7&amp; I(7(%+7%&amp; :"7=&amp; ?*,7"9&lt;0"7+0"(&amp;
0(7")1%@&amp; ;=+&amp; &lt;(%+&amp; %7*I3&amp; =(%&amp; R++)&amp; (&amp; G$07(,&amp; P$0&amp; $01()"&lt;&amp; ()I&amp; %*%7(")(R,+&amp; +I*&lt;(7"$).&amp; ()I&amp;
7=+&amp;+TG+0"?+)7(7"$)&amp;7+%7+I&amp;(&amp;:"I+&amp;)*?R+0&amp;$P&amp;M(0"(7"$)%&amp;:"7=&amp;$)+&amp;0+(,&amp;I(7(%+7&amp;()I&amp;$)+&amp;
%3)7=+7"&lt;&amp;$)+@&amp;;=+&amp;0+%*,7%&amp;")I"&lt;(7+I&amp;7=(7&amp;%$?+&amp;G(07"&lt;*,(0&amp;M(0"(7"$)%&amp;%++?&amp;7$&amp;G+0P$0?&amp;")&amp;
(&amp;%(7"%P(&lt;7$03&amp;:(3&amp;$M+0&amp;R$7=&amp;I(7(%+7%@&amp;;="%&amp;:(%&amp;()&amp;")7+0+%7")1&amp;$R%+0M(7"$).&amp;&lt;$)%"I+0")1&amp;
7=(7&amp; ")&amp; 0+,(7+I&amp; :$0#&amp; :+&amp; =(M+&amp; :"7)+%%+I&amp; %"1)"P"&lt;()7&amp; (,7+0(7"$)%&amp; ")&amp; 7=+&amp; G+0P$0?()&lt;+&amp; $P&amp;
7=+&amp; %(?+&amp; (,1$0"7=?%&amp; $M+0&amp; I"PP+0+)7&amp; I(7(%+7%&amp; W'()$*%+,"%&amp; ^&amp; F$%7$G$*,$*&amp; 5LL&gt;Z&amp;
'()$*%+,"%&amp;+7&amp;(,@.&amp;5L-LX@&amp;H7&amp;1(M+&amp;*%+P*,&amp;")G*7&amp;0+1(0I")1&amp;7=+&amp;"?G0$M+?+)7%&amp;7=(7&amp;)++I&amp;7$&amp;
R+&amp;?(I+&amp;")&amp;7=+&amp;(,1$0"7=?&amp;&lt;*00+)7,3&amp;"?G,+?+)7+I&amp;")&amp;a01()"&lt;@iI*)+7@&amp;&amp;</p>
      <p>a*0&amp; P*7*0+&amp; :$0#&amp; ")&lt;,*I+%&amp; (&amp; ?$0+&amp; +T7+)%"M+&amp; +TG+0"?+)7&amp; :=+0+&amp; 7=+&amp; &lt;$00+,(7"$)&amp;
R+7:++)&amp;7=+&amp;M(0"$*%&amp;(,1$0"7=?"&lt;&amp;G(0(?+7+0%&amp;()I&amp;$G7"$)%&amp;()I&amp;7=+&amp;G0$G+07"+%&amp;$P&amp;7=+&amp;I(7(&amp;
%+7%&amp;:",,&amp;R+&amp;+TG,$0+I@&amp;;=+&amp;&lt;*00+)7,3&amp;(M(",(R,+&amp;0+(,&amp;I(7(&amp;%+7%&amp;:",,&amp;R+&amp;*%+I&amp;(%&amp;1+)+0(7$0%&amp;
$P&amp; (&amp; ,(01+&amp; )*?R+0&amp; $P&amp; %3)7=+7"&lt;&amp; I(7(&amp; %+7%&amp; :"7=&amp; M(03")1&amp; G0$G+07"+%@&amp; ;=+)&amp; 7=+&amp; CollaFiS
%"?*,(7$0&amp;:",,&amp;R+&amp;*%+I&amp;7$&amp;+T+&lt;*7+&amp;(&amp;,(01+&amp;)*?R+0&amp;$P&amp;M(0"(7"$)%&amp;()I&amp;?+(%*0+&amp;=$:&amp;7=+3&amp;
G+0P$0?&amp; $M+0&amp; 7=+&amp; M(0"$*%&amp; I(7(&amp; %+7%@&amp; 8II"7"$)(,&amp; ?+70"&lt;%&amp; :",,&amp; (,%$&amp; R+&amp; +)1(1+I.&amp; %*&lt;=&amp; (%&amp;
73G"&lt;(,&amp;$)+%&amp;P$*)I&amp;")&amp;")P$0?(7"$)&amp;0+70"+M(,&amp;W+@1@&amp;J0+&lt;"%"$).&amp;O+&lt;(,,.&amp;Y9?+(%*0+X@&amp;</p>
    </sec>
    <sec id="sec-6">
      <title>6. Acknowledgements</title>
      <p>;=+&amp; :$0#&amp; G0+%+)7+I&amp; ")&amp; 7="%&amp; G(G+0&amp; =(%&amp; R++)&amp; P*)I+I&amp; :"7=&amp; %*GG$07&amp; R3&amp; 7=+&amp; i*0$G+()&amp;
F$??"%%"$).&amp;()I&amp;?$0+&amp;%G+&lt;"P"&lt;(,,3&amp;7=+&amp;YJ&gt;&amp;G0$Q+&lt;7&amp;g(1H!YO8_&amp;8&amp;I(7(&amp;")P0(%70*&lt;7*0+&amp;
7$&amp; %*GG$07&amp; (10"&lt;*,7*0(,&amp; %&lt;"+)7"P"&lt;&amp; &lt;$??*)"7"+%h&amp; $P&amp; 7=+&amp; O+%+(0&lt;=&amp; H)P0(%70*&lt;7*0+%.&amp;
F(G(&lt;"7"+%&amp; J0$10(??+.&amp; aRQ+&lt;7"M+&amp; H!YO8&amp; 5L--&amp; -@5@5_&amp; K(7(&amp; ")P0(%70*&lt;7*0+%&amp; P$0&amp; +9
6&lt;"+)&lt;+@&amp; /"$01$%&amp; 2301"(4$%&amp; :(%&amp; (PP","(7+I&amp; :"7=&amp; W()I&amp; P*)I+I&amp; R3X&amp; 810$92)$:&amp;
;+&lt;=)$,$1"+%&amp;(7&amp;7=+&amp;7"?+&amp;7=(7&amp;7="%&amp;%7*I3&amp;7$$#&amp;G,(&lt;+@&amp;
8I$?(M"&lt;"*%.&amp;/@.&amp;2:$).&amp;n@_&amp;!+:&amp;O+&lt;$??+)I(7"$)&amp;;+&lt;=)"S*+%&amp;P$0&amp;'*,7"9F0"7+0"(&amp;O(7")1&amp;
63%7+?%@&amp;H)_&amp;Hiii&amp;H)7+,,"1+)7&amp;63%7+?%.&amp;55WBX.&amp;[l9AA&amp;W'(3fo*)+&amp;5LL&gt;X&amp;@&amp;
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]*I+0.&amp; o@.&amp; 6&lt;=:")I.&amp; F@_&amp; d+(0)")1&amp; :"7=&amp; G+0%$)(,"4+I&amp; 0+&lt;$??+)I+0&amp; %3%7+?%_&amp; 8&amp;
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