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Recurrent Neural Networks for mobile phone cell planning using topological information

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(8) bi’žvelj©†kh+j<ªdlƒ£vebŠv  Al v bdobd†kbd7‰Hbd’5ve AlhkjAoAquv;rˆo•fdt‹l7‘Z¦ Ahkr0o<fiolc8l‹ŒuoA†kbdcelrZ <bœ«celtqAc celjQv`npbuƒul†3r0tfijhkn¤o<c b„7l oAc l¬ƒuh3t v hkbdjhkjf¤cgfdƒuhkbŠt‹b7n¤nJqAjAh3tfiv hkbdjHo<c b7ŽA†+ln­œZh+v  ©rˆq•tg tbdjQv lŒEv q<fd†hkju’“b7c nŠfveh+b7j‘ ® CQ¯§°I•BP˜7™c l¬t‹qAcec ljQvjAlqAcgfi†§jAlv\œb7c ªur”EtbdjQv lŒEv q<fd†ƒAfvgfA”ucgfdƒuhkb¤tbdnpnq<jAhktfveh+b7j‘ ±. ² ³­´\³`µ¶`·7¸¹´\º»½¼¹¾9¿

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(10) ve AlJ7†kfd¡l¬ƒ¡bdj<lbi’

(11) vecefdj<r n¤h+vˆveh+j<rˆvefiv hkbdj<r0hkr;f—ª7l‰o•b7h+jQv(v b£bdouveh+nphk¡lve Alpƒul„7l†kbdoAnpljQv(bi’9f—cgfdƒAh+b npbdŽAhk†+l8jAl‹v¬‘ m l†k†•oA†3fij<jAh+j<Jƒulo•lj<ƒArbdjŠve Al8fivˆv ljEq<fveh+b7j—bi’cgfdƒuhkb2l†klt‹v cehktfi†œf „7lr‘¦ Al(fv v ljEq<fiv hkbdjŠh3r oAcelƒuh3t velƒfdrZfJ’“qAj<t‹v hkbdjbi’5v  Al;†3fij<ƒAretfdo•l2fdj<ƒ—ve Altg <fdcef7t v lc h3rˆv h3trbi’¥ve AlfijQveljAj<f<‘sEq<tg ©fo<c l¬ƒuhkt‹v hkbdj tfdj¢ŽlHtficec hklƒbdquvJŽQ‰¢t‹†3fdrerˆh3tfd†fic v h+w•t‹h3fi†9jAlqAcgfi†9jAl‹v\œbdceªur8†khkªdl—nJqA†:veh+†3f ‰dlc2o•lcetlouvec b7j<rŠÂ1ÃVzÄHÂ1r ll w<dq<c l¤Å¬Ä‹‘ ± ± Ƥ¹À!Ç´ˆ¾9¶`·¢·7¸5¶Zµ´\À· zcel„Eh+b7q<r0rˆv q•ƒuh+l¬rÈkŋ]\{ É/ <f „7lrˆ <bœZjv  <fiv8ve Al’“b7c l¬tfdrˆv hkjA—bd’

(12) v  Alpfv v ljQq•fv hkbdj©h3r8Ž•lvˆv lc;h:’9„fdc hkbdq<r0oAcel‹] ƒuh3t v hkbdjŸnpbEƒAl†3r¤fdc lrˆolthkfd†+hk¡l¬ƒ›b7j›lf7tg Ÿt‹†3fdrerJbdŽuvgfihkjAlƒ½ŽQ‰Êt†+q<rˆv lc hkjAv  AlƒAfivefœZh:ve ½qAj<r qAolce„Ehkr lƒ fi†kdb7c h+v  AnŠrp“l7‘ •‘pªdbd <bdjAlj”dcebœZhkjAHjAlqAcgfi†

(13) 7f7r”¥ª7]^nplfdj<reÄ0bdc2q•rˆhkjA©ft‹bdjQvel‹ŒEv q<fd†

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(18) v  <lJjAl¬ficelrˆv8jAlh+7 u] Ž•b7cer‘`¦ AlJ†kfivˆv lc8r bd†kquv hkbdj <fdr0Ž•lljtg AbQrˆlj’“bdc(rˆl„dlcgfi†¥c l¬fdr bdj<r

(19) ‘ hkcgr\v¬”†klrer`o•ficgfinpl‹velcgr`ficelhkjQ„7bd†k„dl¬ƒ h+j—v  Ah3rr bd†kquveh+b7j dve Ah3r9‰Ehkl†3ƒAr9fr nŠfi†k†+lcr h+¡l`’“b7cv  <l0npbuƒul†6‘sEltbdj<ƒ§”7v  <hkrrˆb7†+qAv hkbdj—tfdq<r lr

(20) ve Al0o<c l¬ƒuhkt‹v hk„dl npbEƒAl†!v bŠŽl2hkj<ƒulolj•ƒuljQvZ’“cebdn ve Al2c loAcelr ljQvefiv hkbdjHbd’ve Al(v b7o•b7†+b7dh3tfi†§ƒAfivef<‘ ±  Ƥ¹À§¼uº¹´\³-¸0À&µº§¸uº Acebdn fHv ltg <jAhktfi†5o•b7h+jQv2bi’„Qhklœ2”!jAlh+7 EŽ•b7c  AbEbuƒ©hkju’“bdcenŠfveh+b7j%hkr;tbdj<r hkƒAlcelƒ©„fi†kh3ƒ%qAov bbdjAlJ EqAj<ƒucelƒ npl‹v lcer‘/d•” €7€d€rˆvefdj<ƒAficgƒuhk¡l¬ƒŠo<fv v lc j<rœZh+v  |7{fvˆvec hkŽAquvelrœlcel0lŒQvecef7t velƒŠ’“cebdn-vecefdj<r n¤h+vˆveh+j<<”Ec l¬t‹lh+„Q] h+j<<”§fij<ƒfHj•fv hkbdj•fi†5dlb7dcgfioA <hktƒ<fvefdŽ<fdr ld”!ƒul¬r tc hkŽAhkjA—velcecefdh+j%hk j <cefdj<t‹l7‘ŠÅ7€—rˆlc hklr”!†+b7jAdlc0ve <fijŸÅ€ l†klnpljQvgr”uQfv  <lceh+jApfiŽbdqAv0|d}d€7€d€o<fv v lcej<r”Aficel8q•rˆl¬ƒf7rv  Al2†klfdc j<h+jApr l‹v‘ZÅËJrˆlc hklr”E7fve AlcehkjA¤fdŽ•b7quv ~i€7€d€o•fvˆvelcej<r”Aficel(q•rˆl¬ƒf7rv  Al;velrˆv0rˆlv‘ . %À

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(22) œZh+v   fJ’“llƒAŽ<fdtgªHtbdjAj<lt veh+b7jHveb¤v  Alrefinpl;†kf ‰7lcbdcvebŠfijlfdc †kh+lc†kf ‰7lc¬‘Yèjv  <l db7ceƒAfdj  rnpbuƒul†*”uve Alt‹b7jQv l‹ŒEv hkrZf¤t‹b7nŽAhkj<fiv hkbdjHbd’¥ve Al;bdquveoAquv`qAjAh+verbd’¥ve Al;oAc l„Eh+b7q<rrˆh+v q<fiv hkbdjfij<ƒHv  <l(o<c l„Qhkbdq•rtbdjQv lŒEv(È É^‘

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(25) = f 7bdcgƒAfdj  rnpbuƒul†6‘.

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(27) t‹bdjQvel‹ŒEvtdžv ]eÅ Ä5œZh:ve pv  Al’“b7†+†kbœZhkjA;c qA†kl;5t7žv Ä bžvˆ]gŬÄ

(28) &fi†koA <f td“vˆ]gÅ¬Ä È ~É6‘(¦ Alprˆhk¡lbd’v  <lJt‹b7jQv l‹ŒEv(œZh+j<ƒAbœ ƒulolj<ƒ<r0b7j©v  Alpfi†koA <fHo<ficgfinplv lc¬‘ <bdc8v  Ah3r8fdoAoA†khktfveh+b7j”<ve Alcel hkr \q<rˆvJbdj<l—„fi†kqAlŠv b%’“bdceltf7r\v¬‘%¦ Al—jAlv\œb7c ª¢ficgtg Ah+v lt‹v qAcel—t‹b7jQvefihkj<r|Q{ JŊqAj<h:vgrb7j#v  Al£h+jAo<quvJ†3f ‰dlc” Å€Šq<jAh:vgr0b7j©v  <l Ah3ƒAƒulj†3f ‰dlc8fij<ƒÊÅJqAjAh+v(b7jv  Al¤bdqAv oAquv(qAjAh+v‘;¦ AlJfdj<fi†k‰urˆh3r`bd’

(29) v  AlJc l¬rˆq<†:vgrJ“vefiŽ<†+l£Å¬Ä rˆ <bœ`r9ve <fvZve A l 7bdcgƒAfij  rnpbEƒAl†!vefdªdl¬rv  AltbdjQv lŒQvZhkjQv bŠfdtt‹bdq<j7vZœZh+v  ©t‹b7juw•ƒulj<t‹l;Žltfiq<r l(v  Al2celr qA†+ver ficel`Žl‹vˆvelcv  •fijŠve Al8b7jAlr9bdŽuvgfihkjAlƒ—ŽQ‰ŠfJÃ%VzŸœZh:ve £fr hkn¤hk†3ficfdcetg <h:velt veqAcelÂ1|Q{ Œ§Å€iŒ!Å Ä ‘5¦ Al07ljAlcefiv lƒ t‹b7j7vel‹ŒEv`h3r`olc v hkjAljQv‘ m  <fdjAdhkjApv  <lƒul‹w•jAh:veh+b7j©bi’/v  <lt‹b7j7vel‹ŒEv`ŽE‰£„fdc ‰EhkjA¤v  Alfd†+o< <fpo<ficgfinplv lc`ƒAbQl¬r jAbivZhkj <qAlj<t‹l;ve Al2celr qA†:vgrZrˆhkdj<h:w•tfijQv †k‰d‘ !. :4  %  ,!4=.8 ) .  h:ve #v  Al db7ceƒ<fij  r;npbEƒAl†6”ve AlHtbdjQv lŒQvcelo<c l¬rˆlj7vgrfv  <h+c v\‰ve Ahkceƒ#bd’ve Al—hkjAoAquvpƒAfvgfA‘¦ <fv¤tfijʎl v bEbrˆnŠfi†k†5v bfdtt‹qAcgfvel†k‰fl¬t v(v  AlpoAcelƒAhkt‹v hkbdj‘ h+v  v  <l=9†+nŠfij r;npbuƒul†Z“w<dqAcel¤QÄ ”!ve AlŠt‹b7j7vel‹ŒEv2fv v hknplv8h3r0v  AlJ Ahkƒ<ƒulj%†3f ‰dlc0fv0v hkn¤lvˆ]gÅd‘0¦b£tbdnpo<fdc l2œZh+v  ©ve AlJÃVz&olc ’“bdcenŠfij<tlr”Av  <lJficgtg Ah+v l¬t v q<c l bi’5v  Altg <b7r lj †knpfdj  rZnpbEƒAl†¥h3rÂ*|7{ JŬ€7ÄèŒ!Ŭ€Œ§Åd‘

(30) sEbpve Alt‹b7j7vel‹ŒEv`celoAcelr ljQverve AlxQq<fdcˆvelcbi’/v  <l2h+jAo<quv ƒAfvgfA‘5¦ AlZc l¬rˆq<†:vgrficelZrˆhknph+†3fic/ve <fij¤’“bdc/ve Al 7bdcgƒAfij  r5npbuƒul†¥Â“vefdŽA†+l2Å Ä ‘/¦ Al`fdƒ<ƒulƒpt‹b7jQv l‹ŒEvr llnŠr

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