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  91. <div class="header">
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  92.   <div class="headertitle"><div class="title">activation.hpp</div></div>
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    94. 

  94. <div class="contents">
    95. 

  95. <a href="activation_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno">    1</span><span class="preprocessor">#ifndef ACTIVATION_LAYER_HPP</span></div>
    96. 

  96. <div class="line"><a id="l00002" name="l00002"></a><span class="lineno">    2</span><span class="preprocessor">#define ACTIVATION_LAYER_HPP</span></div>
    97. 

  97. <div class="line"><a id="l00003" name="l00003"></a><span class="lineno">    3</span> </div>
    98. 

  98. <div class="line"><a id="l00004" name="l00004"></a><span class="lineno">    4</span><span class="preprocessor">#include &quot;<a class="code" href="layer_8hpp.html">layer.hpp</a>&quot;</span></div>
    99. 

  99. <div class="line"><a id="l00005" name="l00005"></a><span class="lineno">    5</span><span class="preprocessor">#include &quot;<a class="code" href="math_8hpp.html">math.hpp</a>&quot;</span></div>
    100. 

  100. <div class="line"><a id="l00006" name="l00006"></a><span class="lineno">    6</span> </div>
    101. 

  101. <div class="line"><a id="l00007" name="l00007"></a><span class="lineno"><a class="line" href="namespace_layer.html">    7</a></span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespace_layer.html">Layer</a>{</div>
    102. 

  102. <div class="line"><a id="l00009" name="l00009"></a><span class="lineno"><a class="line" href="namespace_layer.html#a154fb338e15b0326915fb7f9c383ef9f">    9</a></span>  <span class="keyword">enum</span> <a class="code hl_enumeration" href="namespace_layer.html#a154fb338e15b0326915fb7f9c383ef9f">ActivationMap</a>{</div>
    103. 

  103. <div class="line"><a id="l00010" name="l00010"></a><span class="lineno">   10</span>    <a class="code hl_enumvalue" href="namespace_layer.html#a154fb338e15b0326915fb7f9c383ef9fa467cf9e29d4001586b13a922da0dc34b">Sigmoid</a> </div>
    104. 

  104. <div class="line"><a id="l00011" name="l00011"></a><span class="lineno"><a class="line" href="namespace_layer.html#a154fb338e15b0326915fb7f9c383ef9fa467cf9e29d4001586b13a922da0dc34b">   11</a></span>  };</div>
    105. 

  105. <div class="line"><a id="l00012" name="l00012"></a><span class="lineno">   12</span> </div>
    106. 

  106. <div class="line"><a id="l00014" name="l00014"></a><span class="lineno"><a class="line" href="namespace_layer.html#a8bab25d92aa706e26d241614ff6fe81a">   14</a></span>  <span class="keyword">template</span>&lt;ActivationMap A&gt; <a class="code hl_typedef" href="vector_8hpp.html#a4b04262b81aa7d31eb5d2f607e2a35de">Real</a> <a class="code hl_function" href="namespace_layer.html#a8bab25d92aa706e26d241614ff6fe81a">activation_map</a>(<a class="code hl_typedef" href="vector_8hpp.html#a4b04262b81aa7d31eb5d2f607e2a35de">Real</a>);</div>
    107. 

  107. <div class="line"><a id="l00015" name="l00015"></a><span class="lineno">   15</span> </div>
    108. 

  108. <div class="line"><a id="l00017" name="l00017"></a><span class="lineno"><a class="line" href="namespace_layer.html#ab144999586187c1317641130a7b88013">   17</a></span>  <span class="keyword">template</span>&lt;ActivationMap A&gt; <a class="code hl_typedef" href="vector_8hpp.html#a4b04262b81aa7d31eb5d2f607e2a35de">Real</a> <a class="code hl_function" href="namespace_layer.html#ab144999586187c1317641130a7b88013">activation_diff_map</a>(<a class="code hl_typedef" href="vector_8hpp.html#a4b04262b81aa7d31eb5d2f607e2a35de">Real</a>);</div>
    109. 

  109. <div class="line"><a id="l00018" name="l00018"></a><span class="lineno">   18</span> </div>
    110. 

  110. <div class="line"><a id="l00023" name="l00023"></a><span class="lineno"><a class="line" href="class_layer_1_1_activation_layer.html">   23</a></span>  <span class="keyword">template</span>&lt;ActivationMap A&gt; <span class="keyword">class </span><a class="code hl_class" href="class_layer_1_1_activation_layer.html">ActivationLayer</a>:<span class="keyword">public</span> <a class="code hl_namespace" href="namespace_layer.html">Layer</a>{</div>
    111. 

  111. <div class="line"><a id="l00024" name="l00024"></a><span class="lineno">   24</span>  <span class="keyword">public</span>:</div>
    112. 

  112. <div class="line"><a id="l00025" name="l00025"></a><span class="lineno">   25</span>    <a class="code hl_function" href="class_layer_1_1_activation_layer.html#a6999fec429ab7f6eafc9ebd5a42a8f76">ActivationLayer</a>(<span class="keyword">const</span> <span class="keywordtype">size_t</span>);</div>
    113. 

  113. <div class="line"><a id="l00026" name="l00026"></a><span class="lineno"><a class="line" href="class_layer_1_1_activation_layer.html#aa7059282e1e7eeb17b1e36e594e1f2ac">   26</a></span>    <a class="code hl_function" href="class_layer_1_1_activation_layer.html#aa7059282e1e7eeb17b1e36e594e1f2ac">~ActivationLayer</a>(){};</div>
    114. 

  114. <div class="line"><a id="l00028" name="l00028"></a><span class="lineno">   28</span>    <a class="code hl_typedef" href="vector_8hpp.html#ab9855a300a7759f4c0f85067d44e4c38">Vector</a> <a class="code hl_function" href="class_layer_1_1_activation_layer.html#a9bc3eb83733b4ee5a4a3c5c50e794478">feed_forward</a>(<a class="code hl_typedef" href="vector_8hpp.html#ab9855a300a7759f4c0f85067d44e4c38">Vector</a> <a class="code hl_variable" href="class_layer_1_1_layer.html#af2ebcf019bc0e4b97f41fc9205706665">x</a>) <span class="keyword">override</span>;</div>
    115. 

  115. <div class="line"><a id="l00030" name="l00030"></a><span class="lineno"><a class="line" href="class_layer_1_1_activation_layer.html#a230ad43fde65528cc36021e097f111a4">   30</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="class_layer_1_1_activation_layer.html#a230ad43fde65528cc36021e097f111a4">init_nabla</a>()<span class="keyword"> override </span>{};</div>
    116. 

  116. <div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span>    <a class="code hl_typedef" href="vector_8hpp.html#ab9855a300a7759f4c0f85067d44e4c38">Vector</a> <a class="code hl_function" href="class_layer_1_1_activation_layer.html#aa946acde267d94523d12465ca8976ab9">back_propagation</a>(<a class="code hl_typedef" href="vector_8hpp.html#ab9855a300a7759f4c0f85067d44e4c38">Vector</a> e) <span class="keyword">override</span>;</div>
    117. 

  117. <div class="line"><a id="l00034" name="l00034"></a><span class="lineno"><a class="line" href="class_layer_1_1_activation_layer.html#afbc9f12d792008bbaf6d6c2d0177ebf1">   34</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="class_layer_1_1_activation_layer.html#afbc9f12d792008bbaf6d6c2d0177ebf1">update</a>(<a class="code hl_typedef" href="vector_8hpp.html#a4b04262b81aa7d31eb5d2f607e2a35de">Real</a> eta)<span class="keyword"> override</span>{};</div>
    118. 

  118. <div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span>  };</div>
    119. 

  119. <div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span> </div>
    120. 

  120. <div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span>  <span class="keyword">template</span>&lt;ActivationMap A&gt;</div>
    121. 

  121. <div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span>  <span class="keyword">inline</span></div>
    122. 

  122. <div class="line"><a id="l00039" name="l00039"></a><span class="lineno"><a class="line" href="class_layer_1_1_activation_layer.html#a6999fec429ab7f6eafc9ebd5a42a8f76">   39</a></span>  <a class="code hl_function" href="class_layer_1_1_activation_layer.html#a6999fec429ab7f6eafc9ebd5a42a8f76">ActivationLayer&lt;A&gt;::ActivationLayer</a>(<span class="keywordtype">size_t</span> n):<a class="code hl_namespace" href="namespace_layer.html">Layer</a>(n,n){</div>
    123. 

  123. <div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span>  }</div>
    124. 

  124. <div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span> </div>
    125. 

  125. <div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span>  <span class="keyword">template</span>&lt;ActivationMap A&gt;</div>
    126. 

  126. <div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span>  <span class="keyword">inline</span> <a class="code hl_typedef" href="vector_8hpp.html#ab9855a300a7759f4c0f85067d44e4c38">Vector</a></div>
    127. 

  127. <div class="line"><a id="l00044" name="l00044"></a><span class="lineno"><a class="line" href="class_layer_1_1_activation_layer.html#a9bc3eb83733b4ee5a4a3c5c50e794478">   44</a></span>  <a class="code hl_function" href="class_layer_1_1_activation_layer.html#a9bc3eb83733b4ee5a4a3c5c50e794478">ActivationLayer&lt;A&gt;::feed_forward</a>(<a class="code hl_typedef" href="vector_8hpp.html#ab9855a300a7759f4c0f85067d44e4c38">Vector</a> x_){</div>
    128. 

  128. <div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span>    x=x_;</div>
    129. 

  129. <div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span>    <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0;i&lt;n;++i){</div>
    130. 

  130. <div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span>      y[i]=activation_map&lt;A&gt;(x[i]);</div>
    131. 

  131. <div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span>    }</div>
    132. 

  132. <div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span>    <span class="keywordflow">return</span> y;</div>
    133. 

  133. <div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span>  }</div>
    134. 

  134. <div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span> </div>
    135. 

  135. <div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span>  <span class="keyword">template</span>&lt;ActivationMap A&gt;</div>
    136. 

  136. <div class="line"><a id="l00053" name="l00053"></a><span class="lineno">   53</span>  <span class="keyword">inline</span> <a class="code hl_typedef" href="vector_8hpp.html#ab9855a300a7759f4c0f85067d44e4c38">Vector</a></div>
    137. 

  137. <div class="line"><a id="l00054" name="l00054"></a><span class="lineno"><a class="line" href="class_layer_1_1_activation_layer.html#aa946acde267d94523d12465ca8976ab9">   54</a></span>  <a class="code hl_function" href="class_layer_1_1_activation_layer.html#aa946acde267d94523d12465ca8976ab9">ActivationLayer&lt;A&gt;::back_propagation</a>(<a class="code hl_typedef" href="vector_8hpp.html#ab9855a300a7759f4c0f85067d44e4c38">Vector</a> e){</div>
    138. 

  138. <div class="line"><a id="l00055" name="l00055"></a><span class="lineno">   55</span>    <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0;i&lt;n;++i){</div>
    139. 

  139. <div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span>      d[i]=activation_diff_map&lt;A&gt;(x[i])*e[i];</div>
    140. 

  140. <div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span>    }</div>
    141. 

  141. <div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span>    <span class="keywordflow">return</span> d;</div>
    142. 

  142. <div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span>  }</div>
    143. 

  143. <div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span> </div>
    144. 

  144. <div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span>  <span class="keyword">template</span>&lt;&gt;</div>
    145. 

  145. <div class="line"><a id="l00062" name="l00062"></a><span class="lineno"><a class="line" href="namespace_layer.html#a1cc1cac69c2c7e23cd745cdaaa900265">   62</a></span>  <span class="keyword">inline</span> <a class="code hl_typedef" href="vector_8hpp.html#a4b04262b81aa7d31eb5d2f607e2a35de">Real</a></div>
    146. 

  146. <div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span>  <a class="code hl_function" href="namespace_layer.html#a1cc1cac69c2c7e23cd745cdaaa900265">activation_map&lt;Sigmoid&gt;</a>(<a class="code hl_typedef" href="vector_8hpp.html#a4b04262b81aa7d31eb5d2f607e2a35de">Real</a> x){</div>
    147. 

  147. <div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span>    <span class="keywordflow">return</span> 1.0/(1.0+<a class="code hl_function" href="namespace_math.html#a7e8411f9880b87ade916aee8531d0c11">exp</a>(-x));</div>
    148. 

  148. <div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span>  }</div>
    149. 

  149. <div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span> </div>
    150. 

  150. <div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span>  <span class="keyword">template</span>&lt;&gt;</div>
    151. 

  151. <div class="line"><a id="l00068" name="l00068"></a><span class="lineno"><a class="line" href="namespace_layer.html#a2a722f834e422b77ee155b2bd252c995">   68</a></span>  <span class="keyword">inline</span> <a class="code hl_typedef" href="vector_8hpp.html#a4b04262b81aa7d31eb5d2f607e2a35de">Real</a></div>
    152. 

  152. <div class="line"><a id="l00069" name="l00069"></a><span class="lineno">   69</span>  <a class="code hl_function" href="namespace_layer.html#a2a722f834e422b77ee155b2bd252c995">activation_diff_map&lt;Sigmoid&gt;</a>(<a class="code hl_typedef" href="vector_8hpp.html#a4b04262b81aa7d31eb5d2f607e2a35de">Real</a> x){</div>
    153. 

  153. <div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span>    <a class="code hl_typedef" href="vector_8hpp.html#a4b04262b81aa7d31eb5d2f607e2a35de">Real</a> t=<a class="code hl_function" href="namespace_layer.html#a1cc1cac69c2c7e23cd745cdaaa900265">activation_map&lt;Sigmoid&gt;</a>(x);</div>
    154. 

  154. <div class="line"><a id="l00071" name="l00071"></a><span class="lineno">   71</span>    <span class="keywordflow">return</span> t*(1.0-t);</div>
    155. 

  155. <div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span>  }</div>
    156. 

  156. <div class="line"><a id="l00073" name="l00073"></a><span class="lineno">   73</span>}</div>
    157. 

  157. <div class="line"><a id="l00074" name="l00074"></a><span class="lineno">   74</span><span class="preprocessor">#endif</span></div>
    158. 

  158. <div class="ttc" id="aclass_layer_1_1_activation_layer_html"><div class="ttname"><a href="class_layer_1_1_activation_layer.html">Layer::ActivationLayer</a></div><div class="ttdef"><b>Definition:</b> activation.hpp:23</div></div>
    159. 

  159. <div class="ttc" id="aclass_layer_1_1_activation_layer_html_a230ad43fde65528cc36021e097f111a4"><div class="ttname"><a href="class_layer_1_1_activation_layer.html#a230ad43fde65528cc36021e097f111a4">Layer::ActivationLayer::init_nabla</a></div><div class="ttdeci">void init_nabla() override</div><div class="ttdef"><b>Definition:</b> activation.hpp:30</div></div>
    160. 

  160. <div class="ttc" id="aclass_layer_1_1_activation_layer_html_a6999fec429ab7f6eafc9ebd5a42a8f76"><div class="ttname"><a href="class_layer_1_1_activation_layer.html#a6999fec429ab7f6eafc9ebd5a42a8f76">Layer::ActivationLayer::ActivationLayer</a></div><div class="ttdeci">ActivationLayer(const size_t)</div><div class="ttdef"><b>Definition:</b> activation.hpp:39</div></div>
    161. 

  161. <div class="ttc" id="aclass_layer_1_1_activation_layer_html_a9bc3eb83733b4ee5a4a3c5c50e794478"><div class="ttname"><a href="class_layer_1_1_activation_layer.html#a9bc3eb83733b4ee5a4a3c5c50e794478">Layer::ActivationLayer::feed_forward</a></div><div class="ttdeci">Vector feed_forward(Vector x) override</div><div class="ttdef"><b>Definition:</b> activation.hpp:44</div></div>
    162. 

  162. <div class="ttc" id="aclass_layer_1_1_activation_layer_html_aa7059282e1e7eeb17b1e36e594e1f2ac"><div class="ttname"><a href="class_layer_1_1_activation_layer.html#aa7059282e1e7eeb17b1e36e594e1f2ac">Layer::ActivationLayer::~ActivationLayer</a></div><div class="ttdeci">~ActivationLayer()</div><div class="ttdef"><b>Definition:</b> activation.hpp:26</div></div>
    163. 

  163. <div class="ttc" id="aclass_layer_1_1_activation_layer_html_aa946acde267d94523d12465ca8976ab9"><div class="ttname"><a href="class_layer_1_1_activation_layer.html#aa946acde267d94523d12465ca8976ab9">Layer::ActivationLayer::back_propagation</a></div><div class="ttdeci">Vector back_propagation(Vector e) override</div><div class="ttdef"><b>Definition:</b> activation.hpp:54</div></div>
    164. 

  164. <div class="ttc" id="aclass_layer_1_1_activation_layer_html_afbc9f12d792008bbaf6d6c2d0177ebf1"><div class="ttname"><a href="class_layer_1_1_activation_layer.html#afbc9f12d792008bbaf6d6c2d0177ebf1">Layer::ActivationLayer::update</a></div><div class="ttdeci">void update(Real eta) override</div><div class="ttdef"><b>Definition:</b> activation.hpp:34</div></div>
    165. 

  165. <div class="ttc" id="aclass_layer_1_1_layer_html_af2ebcf019bc0e4b97f41fc9205706665"><div class="ttname"><a href="class_layer_1_1_layer.html#af2ebcf019bc0e4b97f41fc9205706665">Layer::Layer::x</a></div><div class="ttdeci">Vector x</div><div class="ttdef"><b>Definition:</b> layer.hpp:32</div></div>
    166. 

  166. <div class="ttc" id="alayer_8hpp_html"><div class="ttname"><a href="layer_8hpp.html">layer.hpp</a></div></div>
    167. 

  167. <div class="ttc" id="amath_8hpp_html"><div class="ttname"><a href="math_8hpp.html">math.hpp</a></div></div>
    168. 

  168. <div class="ttc" id="anamespace_layer_html"><div class="ttname"><a href="namespace_layer.html">Layer</a></div><div class="ttdef"><b>Definition:</b> activation.hpp:7</div></div>
    169. 

  169. <div class="ttc" id="anamespace_layer_html_a154fb338e15b0326915fb7f9c383ef9f"><div class="ttname"><a href="namespace_layer.html#a154fb338e15b0326915fb7f9c383ef9f">Layer::ActivationMap</a></div><div class="ttdeci">ActivationMap</div><div class="ttdef"><b>Definition:</b> activation.hpp:9</div></div>
    170. 

  170. <div class="ttc" id="anamespace_layer_html_a154fb338e15b0326915fb7f9c383ef9fa467cf9e29d4001586b13a922da0dc34b"><div class="ttname"><a href="namespace_layer.html#a154fb338e15b0326915fb7f9c383ef9fa467cf9e29d4001586b13a922da0dc34b">Layer::Sigmoid</a></div><div class="ttdeci">@ Sigmoid</div><div class="ttdef"><b>Definition:</b> activation.hpp:10</div></div>
    171. 

  171. <div class="ttc" id="anamespace_layer_html_a1cc1cac69c2c7e23cd745cdaaa900265"><div class="ttname"><a href="namespace_layer.html#a1cc1cac69c2c7e23cd745cdaaa900265">Layer::activation_map&lt; Sigmoid &gt;</a></div><div class="ttdeci">Real activation_map&lt; Sigmoid &gt;(Real x)</div><div class="ttdef"><b>Definition:</b> activation.hpp:63</div></div>
    172. 

  172. <div class="ttc" id="anamespace_layer_html_a2a722f834e422b77ee155b2bd252c995"><div class="ttname"><a href="namespace_layer.html#a2a722f834e422b77ee155b2bd252c995">Layer::activation_diff_map&lt; Sigmoid &gt;</a></div><div class="ttdeci">Real activation_diff_map&lt; Sigmoid &gt;(Real x)</div><div class="ttdef"><b>Definition:</b> activation.hpp:69</div></div>
    173. 

  173. <div class="ttc" id="anamespace_layer_html_a8bab25d92aa706e26d241614ff6fe81a"><div class="ttname"><a href="namespace_layer.html#a8bab25d92aa706e26d241614ff6fe81a">Layer::activation_map</a></div><div class="ttdeci">Real activation_map(Real)</div></div>
    174. 

  174. <div class="ttc" id="anamespace_layer_html_ab144999586187c1317641130a7b88013"><div class="ttname"><a href="namespace_layer.html#ab144999586187c1317641130a7b88013">Layer::activation_diff_map</a></div><div class="ttdeci">Real activation_diff_map(Real)</div></div>
    175. 

  175. <div class="ttc" id="anamespace_math_html_a7e8411f9880b87ade916aee8531d0c11"><div class="ttname"><a href="namespace_math.html#a7e8411f9880b87ade916aee8531d0c11">Math::exp</a></div><div class="ttdeci">Real exp(Real x)</div><div class="ttdef"><b>Definition:</b> math.hpp:5</div></div>
    176. 

  176. <div class="ttc" id="avector_8hpp_html_a4b04262b81aa7d31eb5d2f607e2a35de"><div class="ttname"><a href="vector_8hpp.html#a4b04262b81aa7d31eb5d2f607e2a35de">Real</a></div><div class="ttdeci">double Real</div><div class="ttdef"><b>Definition:</b> vector.hpp:9</div></div>
    177. 

  177. <div class="ttc" id="avector_8hpp_html_ab9855a300a7759f4c0f85067d44e4c38"><div class="ttname"><a href="vector_8hpp.html#ab9855a300a7759f4c0f85067d44e4c38">Vector</a></div><div class="ttdeci">Real * Vector</div><div class="ttdef"><b>Definition:</b> vector.hpp:45</div></div>
    178. 

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