第19章 神经网络模型.zip

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依据客观事实建立机器学习模型中常用算法及数学思想理解的必备基础
第19章 神经网络模型.zip
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Pitts<span class="_ _1"> </span><span class="ff2 ls0 ws0">&#25552;</span></span></div><div class="t m0 x4 h5 y8 ff2 fs2 fc0 sc0 ls0 ws0">&#20986;&#24418;&#24335;&#31070;&#32463;&#20803;&#30340;&#25277;&#35937;&#25968;&#23398;&#27169;&#22411;&#8212;<span class="ff1 ls8">MP<span class="_ _4"> </span></span>&#27169;&#22411;&#20197;&#26469;&#65292;&#20154;&#24037;&#31070;&#32463;&#32593;&#32476;&#29702;&#35770;&#25216;&#26415;&#32463;&#36807;&#20102;<span class="_ _4"> </span><span class="ff1 ls4">50<span class="_ _6"> </span></span><span class="ls9">&#22810;&#24180;</span></div><div class="t m0 x4 h5 y9 ff2 fs2 fc0 sc0 ls0 ws0">&#26354;&#25240;&#30340;&#21457;&#23637;&#12290;<span class="_ _7"></span>&#29305;&#21035;&#26159;<span class="_ _1"> </span><span class="ff1 ls5">20<span class="_"> </span></span><span class="ls9">&#19990;&#32426;<span class="_ _1"> </span><span class="ff1 ls5">80<span class="_ _1"> </span></span></span>&#24180;&#20195;&#65292;<span class="_ _7"></span>&#20154;&#24037;&#31070;&#32463;&#32593;&#32476;&#30340;&#30740;&#31350;&#21462;&#24471;&#20102;&#37325;&#22823;&#36827;&#23637;&#65292;<span class="_ _8"></span>&#26377;&#20851;&#30340;&#29702;</div><div class="t m0 x4 h6 ya ff2 fs2 fc0 sc0 ls0 ws0">&#35770;&#21644;&#26041;&#27861;&#24050;&#32463;&#21457;&#23637;&#25104;&#19968;&#38376;&#30028;&#20110;&#29289;&#29702;&#23398;&#12289;<span class="_ _0"></span>&#25968;&#23398;&#12289;<span class="_ _9"></span>&#35745;&#31639;&#26426;&#31185;&#23398;&#21644;&#31070;&#32463;&#29983;&#29289;&#23398;&#20043;&#38388;&#30340;&#20132;&#21449;&#23398;&#31185;&#12290;</div><div class="t m0 x4 h6 yb ff2 fs2 fc0 sc0 ls0 ws0">&#23427;&#22312;&#27169;&#24335;&#35782;&#21035;&#65292;<span class="_ _5"></span>&#22270;&#20687;&#22788;&#29702;&#65292;<span class="_ _a"></span>&#26234;&#33021;&#25511;&#21046;&#65292;<span class="_ _5"></span>&#32452;&#21512;&#20248;&#21270;&#65292;<span class="_ _a"></span>&#37329;&#34701;&#39044;&#27979;&#19982;&#31649;&#29702;&#65292;<span class="_ _5"></span>&#36890;&#20449;&#65292;<span class="_ _a"></span>&#26426;&#22120;&#20154;&#20197;&#21450;</div><div class="t m0 x4 h5 yc ff2 fs2 fc0 sc0 ls0 ws0">&#19987;&#23478;&#31995;&#32479;&#31561;&#39046;&#22495;&#24471;&#21040;&#24191;&#27867;&#30340;&#24212;&#29992;&#65292;&#25552;&#20986;&#20102;<span class="_ _1"> </span><span class="ff1 ls4">40<span class="_"> </span></span>&#22810;&#31181;&#31070;&#32463;&#32593;&#32476;&#27169;&#22411;&#65292;&#20854;&#20013;&#27604;&#36739;&#33879;&#21517;&#30340;&#26377;&#24863;</div><div class="t m0 x4 h5 yd ff2 fs2 fc0 sc0 ls0 ws0">&#30693;&#26426;&#65292;<span class="ff1 lsa">Hopfield<span class="_ _b"> </span></span>&#32593;&#32476;&#65292;<span class="ff1 lsb">Boltzman<span class="_ _b"> </span></span>&#26426;&#65292;&#33258;&#36866;&#24212;&#20849;&#25391;&#29702;&#35770;&#21450;&#21453;&#21521;&#20256;&#25773;&#32593;&#32476;&#65288;<span class="ff1 lsc">BP</span>&#65289;&#31561;&#12290;&#22312;&#36825;</div><div class="t m0 x4 h5 ye ff2 fs2 fc0 sc0 ls0 ws0">&#37324;&#25105;&#20204;&#20165;&#35752;&#35770;&#26368;&#22522;&#26412;&#30340;&#32593;&#32476;&#27169;&#22411;&#21450;&#20854;&#23398;&#20064;&#31639;&#27861;&#12290;<span class="ff1"> </span></div><div class="t m0 x5 h5 yf ff1 fs2 fc0 sc0 lsd ws4">1.1 <span class="ff2 ls0 ws0">&#20154;&#24037;&#31070;&#32463;&#20803;&#27169;&#22411;<span class="ff1"> </span></span></div><div class="t m0 x5 h5 y10 ff2 fs2 fc0 sc0 ls0 ws0">&#19979;&#22270;&#34920;&#31034;&#20986;&#20102;&#20316;&#20026;&#20154;&#24037;&#31070;&#32463;&#32593;&#32476;&#65288;<span class="ff1 lsc ws5">artificial neural network</span>&#65292;&#20197;<span class="_ _c"></span>&#19979;&#31616;&#31216;<span class="_ _1"> </span><span class="ff1 lse">NN</span>&#65289;&#30340;&#22522;&#26412;</div><div class="t m0 x4 h5 y11 ff2 fs2 fc0 sc0 ls0 ws0">&#21333;&#20803;&#30340;&#31070;&#32463;&#20803;&#27169;&#22411;&#65292;&#23427;&#26377;&#19977;&#20010;&#22522;&#26412;&#35201;&#32032;&#65306;<span class="ff1"> </span></div><div class="t m0 x6 h5 y12 ff1 fs2 fc0 sc0 ls0 ws0"> </div><div class="t m0 x5 h5 y13 ff2 fs2 fc0 sc0 ls0 ws0">&#65288;<span class="ff1">i</span>&#65289;<span class="_ _a"></span>&#19968;&#32452;&#36830;&#25509;<span class="_ _a"></span>&#65288;&#23545;&#24212;&#20110;&#29983;&#29289;&#31070;&#32463;&#20803;&#30340;&#31361;&#35302;&#65289;<span class="_ _9"></span>&#65292;<span class="_ _a"></span>&#36830;&#25509;&#24378;&#24230;&#30001;&#21508;&#36830;&#25509;&#19978;&#30340;&#26435;&#20540;&#34920;&#31034;&#65292;<span class="_ _a"></span>&#26435;</div><div class="t m0 x4 h5 y14 ff2 fs2 fc0 sc0 ls0 ws0">&#20540;&#20026;&#27491;&#34920;&#31034;&#28608;&#27963;&#65292;&#20026;&#36127;&#34920;&#31034;&#25233;&#21046;&#12290;<span class="ff1"> </span></div><div class="t m0 x5 h5 y15 ff2 fs2 fc0 sc0 ls0 ws0">&#65288;<span class="ff1 lsd">ii</span>&#65289;&#19968;&#20010;&#27714;&#21644;&#21333;&#20803;&#65292;&#29992;&#20110;&#27714;&#21462;&#21508;&#36755;&#20837;&#20449;&#21495;&#30340;&#21152;&#26435;&#21644;&#65288;&#32447;&#24615;&#32452;&#21512;&#65289;<span class="_ _9"></span>&#12290;<span class="ff1"> </span></div><div class="t m0 x5 h5 y16 ff2 fs2 fc0 sc0 ls0 ws0">&#65288;<span class="ff1 lsd">iii</span>&#65289;<span class="_ _7"></span>&#19968;&#20010;&#38750;&#32447;&#24615;&#28608;&#27963;&#20989;&#25968;&#65292;<span class="_ _7"></span>&#36215;&#38750;&#32447;&#24615;&#26144;&#23556;&#20316;&#29992;&#24182;&#23558;&#31070;&#32463;&#20803;&#36755;&#20986;&#24133;&#24230;&#38480;&#21046;&#22312;&#19968;&#23450;&#33539;</div><div class="t m0 x4 h6 y17 ff2 fs2 fc0 sc0 ls0 ws0">&#22260;&#20869;&#65288;&#19968;&#33324;&#38480;&#21046;&#22312;</div><div class="t m0 x7 h7 y18 ff1 fs3 fc0 sc0 ls0 ws0">)<span class="_ _d"></span>1<span class="_ _e"></span>,<span class="_ _f"></span>0<span class="_ _10"></span>(<span class="_ _11"> </span><span class="ff2 fs2">&#25110;<span class="_ _12"> </span></span>)<span class="_ _d"></span>1<span class="_ _e"></span>,<span class="_ _e"></span>1<span class="_ _13"></span>(<span class="_ _14"></span><span class="ff4">&#8722;<span class="_ _15"> </span><span class="ff2 fs2">&#20043;&#38388;&#65289;<span class="_ _9"></span>&#12290;<span class="ff1"> </span></span></span></div><div class="t m0 x5 h6 y19 ff2 fs2 fc0 sc0 ls0 ws0">&#27492;&#22806;&#36824;&#26377;&#19968;&#20010;&#38408;&#20540;</div><div class="t m0 x8 h8 y1a ff5 fs4 fc0 sc0 ls0 ws0">k</div><div class="c x9 y1b w2 h9"><div class="t m1 x0 ha y1c ff4 fs5 fc0 sc0 ls0 ws0">&#952;</div></div><div class="t m0 xa h6 y1d ff2 fs2 fc0 sc0 ls0 ws0">&#65288;&#25110;&#20559;&#32622;</div><div class="t m0 xb h8 y1a ff5 fs4 fc0 sc0 ls0 ws0">k<span class="_ _16"></span>k</div><div class="t m0 xc hb y1d ff5 fs6 fc0 sc0 ls0 ws0">b</div><div class="c xd y1b w2 h9"><div class="t m1 x0 ha y1c ff4 fs5 fc0 sc0 ls0 ws0">&#952;</div></div><div class="c xe y1b w3 h9"><div class="t m0 x0 hc y1c ff4 fs6 fc0 sc0 ls0 ws0">&#8722;</div></div><div class="c xf y1b w3 h9"><div class="t m0 x0 hc y1c ff4 fs6 fc0 sc0 ls0 ws0">=</div></div><div class="t m0 x10 h5 y1d ff2 fs2 fc0 sc0 ls0 ws0">&#65289;<span class="_ _9"></span>&#12290;<span class="ff1"> </span></div><div class="t m0 x5 h5 y1e ff2 fs2 fc0 sc0 ls0 ws0">&#20197;&#19978;&#20316;&#29992;&#21487;&#20998;&#21035;&#20197;&#25968;&#23398;&#24335;&#34920;&#36798;&#20986;&#26469;&#65306;<span class="ff1"> </span></div><div class="t m0 x11 h5 y1f ff1 fs2 fc0 sc0 lsf ws0"> </div><div class="t m0 x12 hd y20 ff4 fs7 fc0 sc0 ls0 ws0">&#8721;</div><div class="t m0 x13 he y21 ff4 fs4 fc0 sc0 ls0 ws0">=</div><div class="t m0 x14 hc y22 ff4 fs6 fc0 sc0 ls0 ws0">=</div><div class="t m0 x13 h8 y23 ff5 fs4 fc0 sc0 ls0 ws0">p</div><div class="t m0 x15 h8 y24 ff5 fs4 fc0 sc0 ls0 ws0">j</div><div class="t m0 x16 h8 y25 ff5 fs4 fc0 sc0 ls0 ws0">j<span class="_ _17"></span>kj<span class="_ _18"></span>k</div><div class="t m0 x7 hb y22 ff5 fs6 fc0 sc0 ls0 ws0">x<span class="_ _19"></span>w<span class="_ _1a"></span>u</div><div class="t m0 x17 hf y21 ff1 fs4 fc0 sc0 ls0 ws0">1</div><div class="t m0 x18 h5 y22 ff2 fs2 fc0 sc0 ls0 ws0">&#65292;<span class="ff1"> </span></div><div class="t m0 x19 h8 y26 ff5 fs4 fc0 sc0 ls0 ws0">k<span class="_ _1b"></span>k<span class="_ _1c"></span>k</div><div class="t m0 x1a hb y22 ff5 fs6 fc0 sc0 ls0 ws0">u<span class="_ _1d"></span>v</div><div class="c x1b y27 w2 h9"><div class="t m1 x0 ha y1c ff4 fs5 fc0 sc0 ls0 ws0">&#952;</div></div><div class="c x1c y27 w3 h9"><div class="t m0 x0 hc y1c ff4 fs6 fc0 sc0 ls0 ws0">&#8722;</div></div><div class="t m0 x1d h10 y22 ff4 fs6 fc0 sc0 ls0 ws0">=<span class="_ _1e"> </span><span class="ff2 fs2">&#65292;<span class="ff1"> <span class="_ _1f"> </span><span class="fs6">)<span class="_ _19"></span>(</span></span></span></div><div class="t m0 x1e h8 y26 ff5 fs4 fc0 sc0 ls0 ws0">k<span class="_ _20"></span>k</div><div class="t m0 x1f hb y22 ff5 fs6 fc0 sc0 ls0 ws0">v<span class="_ _21"></span>y</div><div class="c x20 y27 w4 h9"><div class="t m1 x0 ha y1c ff4 fs5 fc0 sc0 ls0 ws0">&#981;</div></div><div class="c x21 y27 w3 h9"><div class="t m0 x0 hc y1c ff4 fs6 fc0 sc0 ls0 ws0">=</div></div><div class="t m0 x22 h5 y22 ff1 fs2 fc0 sc0 ls0 ws0"> </div><div class="t m0 x4 h6 y28 ff2 fs2 fc0 sc0 ls10 ws0">&#24335;&#20013;</div><div class="t m0 x15 h11 y29 ff5 fs8 fc0 sc0 ls0 ws0">p</div><div class="t m0 x23 h12 y2a ff5 fs9 fc0 sc0 ls0 ws0">x<span class="_ _22"></span>x<span class="_ _23"></span>x<span class="_ _24"> </span><span class="ff1">,<span class="_ _25"></span>,<span class="_ _25"></span>,</span></div><div class="t m0 x24 h13 y29 ff1 fs8 fc0 sc0 ls0 ws0">2<span class="_ _25"></span>1</div><div class="t m0 x25 h6 y2a ff6 fs9 fc0 sc0 ls0 ws0">L<span class="_ _15"> </span><span class="ff2 fs2 ls10">&#20026;&#36755;&#20837;&#20449;&#21495;&#65292;</span></div><div class="t m0 x26 h11 y29 ff5 fs8 fc0 sc0 ls0 ws0">kp<span class="_ _18"></span>k<span class="_ _26"></span>k</div><div class="t m0 x27 h12 y2a ff5 fs9 fc0 sc0 ls0 ws0">w<span class="_ _1a"></span>w<span class="_ _27"></span>w<span class="_ _28"> </span><span class="ff1">,<span class="_ _25"></span>,<span class="_ _29"></span>,</span></div><div class="t m0 x28 h13 y29 ff1 fs8 fc0 sc0 ls0 ws0">2<span class="_ _29"></span>1</div><div class="t m0 x29 h14 y2a ff6 fs9 fc0 sc0 ls0 ws0">L<span class="_ _2a"> </span><span class="ff2 fs2 ls10">&#20026;&#31070;&#32463;&#20803;<span class="_ _2b"> </span></span><span class="ff5 fsa">k<span class="_ _2c"> </span><span class="ff2 fs2 ls10">&#20043;&#26435;&#20540;&#65292;</span></span></div><div class="t m0 x2a h11 y29 ff5 fs8 fc0 sc0 ls0 ws0">k</div><div class="t m0 x2b h15 y2a ff5 fs9 fc0 sc0 ls0 ws0">u<span class="_ _2d"> </span><span class="ff2 fs2 ls10">&#20026;&#32447;&#24615;&#32452;&#21512;&#32467;</span></div><div class="t m0 x4 h6 y2b ff2 fs2 fc0 sc0 ls0 ws0">&#26524;&#65292;</div><div class="t m0 x11 h11 y2c ff5 fs8 fc0 sc0 ls0 ws0">k</div><div class="c x2c y2d w2 h9"><div class="t m1 x0 ha y2e ff4 fs5 fc0 sc0 ls0 ws0">&#952;</div></div><div class="t m0 x2d h16 y2f ff2 fs2 fc0 sc0 ls0 ws0">&#20026;&#38408;&#20540;&#65292;<span class="_ _2e"> </span><span class="ff1 fsb">)<span class="_ _2f"></span>(</span></div><div class="c x2e y2d w5 h17"><div class="t m0 x0 h18 y2e ff4 fsb fc0 sc0 ls0 ws0">&#8901;</div></div><div class="c x15 y2d w4 h17"><div class="t m2 x0 h19 y2e ff4 fsc fc0 sc0 ls0 ws0">&#981;</div></div><div class="t m0 x2f h6 y2f ff2 fs2 fc0 sc0 ls0 ws0">&#20026;&#28608;&#27963;&#20989;&#25968;&#65292;</div><div class="t m0 x30 h11 y2c ff5 fs8 fc0 sc0 ls0 ws0">k</div><div class="t m0 x31 h15 y2f ff5 fs9 fc0 sc0 ls0 ws0">y<span class="_ _30"> </span><span class="ff2 fs2">&#20026;&#31070;&#32463;&#20803;</span></div><div class="t m0 x32 h1a y30 ff5 fsd fc0 sc0 ls0 ws0">k</div><div class="t m0 x33 h5 y2f ff2 fs2 fc0 sc0 ls0 ws0">&#30340;&#36755;&#20986;&#12290;<span class="ff1"> </span></div><div class="t m0 x5 h6 y31 ff2 fs2 fc0 sc0 ls0 ws0">&#33509;&#25226;&#36755;&#20837;&#30340;&#32500;&#25968;&#22686;&#21152;&#19968;&#32500;&#65292;&#21017;&#21487;&#25226;&#38408;&#20540;</div><div class="t m0 x34 h11 y32 ff5 fs8 fc0 sc0 ls0 ws0">k</div><div class="c x35 y33 w2 h9"><div class="t m2 x0 h19 y1c ff4 fsc fc0 sc0 ls0 ws0">&#952;</div></div><div class="t m0 x36 h5 y34 ff2 fs2 fc0 sc0 ls0 ws0">&#21253;&#25324;&#36827;&#21435;&#12290;&#20363;&#22914;<span class="ff1"> </span></div><div class="t m0 x11 h5 y35 ff1 fs2 fc0 sc0 lsf ws0"> </div><div class="t m0 x37 hd y36 ff4 fs7 fc0 sc0 ls0 ws0">&#8721;</div><div class="t m0 x38 he y37 ff4 fs4 fc0 sc0 ls0 ws0">=</div><div class="t m0 x39 h18 y38 ff4 fsb fc0 sc0 ls0 ws0">=</div><div class="t m0 x38 h11 y39 ff5 fs8 fc0 sc0 ls0 ws0">p</div><div class="t m0 x3a h11 y3a ff5 fs8 fc0 sc0 ls0 ws0">j</div><div class="t m0 x3b h11 y3b ff5 fs8 fc0 sc0 ls0 ws0">j<span class="_ _17"></span>kj<span class="_ _18"></span>k</div><div class="t m0 x3c h15 y38 ff5 fs9 fc0 sc0 ls0 ws0">x<span class="_ _19"></span>w<span class="_ _31"></span>v</div><div class="t m0 x3d h13 y37 ff1 fs8 fc0 sc0 ls0 ws0">0</div><div class="t m0 x3e h16 y38 ff2 fs2 fc0 sc0 ls0 ws0">&#65292;<span class="_ _32"> </span><span class="ff1 fsb">)<span class="_ _23"></span>(</span></div><div class="t m0 xd h11 y3c ff5 fs8 fc0 sc0 ls0 ws0">k<span class="_ _33"></span>k</div><div class="t m0 xe h15 y38 ff5 fs9 fc0 sc0 ls0 ws0">u<span class="_ _34"></span>y</div><div class="c x3f y3d w4 h9"><div class="t m2 x0 h19 y1c ff4 fsc fc0 sc0 ls0 ws0">&#981;</div></div><div class="c x40 y3d w3 h9"><div class="t m0 x0 h18 y1c ff4 fsb fc0 sc0 ls0 ws0">=</div></div><div class="t m0 x41 h5 y38 ff1 fs2 fc0 sc0 ls0 ws0"> </div><div class="t m0 x4 h6 y3e ff2 fs2 fc0 sc0 ls0 ws0">&#27492;&#22788;&#22686;&#21152;&#20102;&#19968;&#20010;&#26032;&#30340;&#36830;&#25509;&#65292;<span class="_ _a"></span>&#20854;&#36755;&#20837;&#20026;</div><div class="t m0 x35 h16 y3f ff1 fsb fc0 sc0 ls0 ws0">1</div><div class="t m0 xf h13 y40 ff1 fs8 fc0 sc0 ls0 ws0">0</div><div class="c x42 y41 w3 h9"><div class="t m0 x0 h18 y1c ff4 fsb fc0 sc0 ls0 ws0">&#8722;</div></div><div class="c x19 y41 w3 h9"><div class="t m0 x0 h18 y1c ff4 fsb fc0 sc0 ls0 ws0">=</div></div><div class="t m0 x30 h1b y3f ff5 fs9 fc0 sc0 ls0 ws0">x<span class="_ _35"> </span><span class="ff2 fs2">&#65288;&#25110;<span class="_ _36"> </span><span class="ff1 fse">1</span></span></div><div class="c x43 y42 w3 h1c"><div class="t m0 x0 h1d y43 ff4 fse fc0 sc0 ls0 ws0">+</div></div><div class="t m0 x1f h6 y3f ff2 fs2 fc0 sc0 ls0 ws0">&#65289;<span class="_ _9"></span><span class="ls11">&#65292;&#26435;<span class="_ _14"></span>&#20540;<span class="_ _14"></span>&#20026;</span></div><div class="t m0 x44 h11 y40 ff5 fs8 fc0 sc0 ls0 ws0">k<span class="_ _37"></span>k</div><div class="t m0 x45 h15 y3f ff5 fs9 fc0 sc0 ls0 ws0">w</div><div class="c x46 y41 w2 h9"><div class="t m2 x0 h19 y1c ff4 fsc fc0 sc0 ls0 ws0">&#952;</div></div><div class="c x47 y41 w3 h9"><div class="t m0 x0 h1d y1c ff4 fse fc0 sc0 ls0 ws0">=</div></div><div class="t m0 x48 h13 y40 ff1 fs8 fc0 sc0 ls0 ws0">0</div><div class="t m0 x49 h6 y3f ff2 fs2 fc0 sc0 ls0 ws0">&#65288;&#25110;</div><div class="t m0 x4a h11 y40 ff5 fs8 fc0 sc0 ls0 ws0">k</div><div class="t m0 x4b h15 y3f ff5 fs9 fc0 sc0 ls0 ws0">b<span class="_ _2d"> </span><span class="ff2 fs2">&#65289;<span class="_ _9"></span><span class="ls12">&#65292;&#22914;</span></span></div><div class="t m0 x4 h5 y44 ff2 fs2 fc0 sc0 ls0 ws0">&#19979;&#22270;&#25152;&#31034;&#12290;<span class="ff1"> </span></div></div><div class="pi" data-data='{"ctm":[1.611639,0.000000,0.000000,1.611639,0.000000,0.000000]}'></div></div> </body> </html>
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