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<li class="breadcrumb-item active">Adam</li>
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<a href="../../_sources/functionlib/dsplib/adam.rst.txt" rel="nofollow"> 查看页面源码</a>
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<section id="adam">
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<h1>Adam<a class="headerlink" href="#adam" title="Link to this heading"></a></h1>
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<blockquote>
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<div><p>使用 Adam 算法更新参数权重。支持 Nesterov 动量。</p>
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<p>算法逻辑如下：</p>
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<div class="math notranslate nohighlight">
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\[\begin{split}m_t = m_{t-1} + (g_t - m_{t-1}) \cdot (1 - \beta_1) \\
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v_t = v_{t-1} + (g_t^2 - v_{t-1}) \cdot (1 - \beta_2) \\
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\hat{lr} = lr \cdot \frac{\sqrt{1 - \beta_2^t}}{1 - \beta_1^t}\end{split}\]</div>
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<p>如果不启用 Nesterov：</p>
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<div class="math notranslate nohighlight">
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\[w_t = w_{t-1} - \hat{lr} \cdot \frac{m_t}{\sqrt{v_t} + \epsilon}\]</div>
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<p>如果启用 Nesterov：</p>
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<div class="math notranslate nohighlight">
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\[w_t = w_{t-1} - \hat{lr} \cdot \frac{m_t \cdot \beta_1 + (1 - \beta_1) \cdot g_t}{\sqrt{v_t} + \epsilon}\]</div>
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<dl class="simple">
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<dt>输入：</dt><dd><ul class="simple">
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<li><p><strong>m</strong> - 一阶矩向量地址（输入/输出）。</p></li>
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<li><p><strong>v</strong> - 二阶矩向量地址（输入/输出）。</p></li>
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<li><p><strong>gradient</strong> - 梯度向量地址。</p></li>
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<li><p><strong>weight</strong> - 权重向量地址（输入/输出）。</p></li>
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<li><p><strong>beta1</strong> - 一阶矩估计的指数衰减率。</p></li>
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<li><p><strong>beta2</strong> - 二阶矩估计的指数衰减率。</p></li>
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<li><p><strong>beta1_power</strong> - <span class="math notranslate nohighlight">\(\beta_1^t\)</span> 的值（指针形式传入）。</p></li>
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<li><p><strong>beta2_power</strong> - <span class="math notranslate nohighlight">\(\beta_2^t\)</span> 的值（指针形式传入）。</p></li>
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<li><p><strong>eps</strong> - 数值稳定性项 epsilon。</p></li>
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<li><p><strong>learning_rate</strong> - 学习率。</p></li>
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<li><p><strong>nesterov</strong> - 是否启用 Nesterov 动量（0: 不启用, 1: 启用）。</p></li>
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<li><p><strong>start</strong> - 计算的起始索引（包含）。</p></li>
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<li><p><strong>end</strong> - 计算的结束索引（不包含）。</p></li>
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<li><p><strong>core_mask</strong> - 核掩码（仅适用于共享存储版本）。</p></li>
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</ul>
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</dd>
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<dt>输出：</dt><dd><ul class="simple">
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<li><p><strong>m</strong> - 更新后的一阶矩。</p></li>
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<li><p><strong>v</strong> - 更新后的二阶矩。</p></li>
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<li><p><strong>weight</strong> - 更新后的权重。</p></li>
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</ul>
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</dd>
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<dt>支持平台：</dt><dd><p><code class="docutils literal notranslate"><span class="pre">FT78NE</span></code>
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<code class="docutils literal notranslate"><span class="pre">MT7004</span></code></p>
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</dd>
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</dl>
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<div class="admonition note">
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<p class="admonition-title">备注</p>
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<ul class="simple">
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<li><p>仅支持 fp32 数据类型。</p></li>
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</ul>
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</div>
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</div></blockquote>
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<p><strong>共享存储版本:</strong></p>
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<dl class="c function">
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<dt class="sig sig-object c" id="c.fp_adam_s">
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<span class="kt"><span class="pre">void</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">fp_adam_s</span></span></span><span class="sig-paren">(</span><span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">m</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">v</span></span>, <span class="k"><span class="pre">const</span></span><span class="w"> </span><span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">gradient</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">weight</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="n"><span class="pre">beta1</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="n"><span class="pre">beta2</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">beta1_power</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">beta2_power</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="n"><span class="pre">eps</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="n"><span class="pre">learning_rate</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">nesterov</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">start</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">end</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">core_mask</span></span><span class="sig-paren">)</span><a class="headerlink" href="#c.fp_adam_s" title="Link to this definition"></a><br /></dt>
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<dd><p><strong>C调用示例：</strong></p>
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<div class="highlight-c notranslate"><div class="highlight"><pre><span></span><span class="linenos"> 1</span><span class="cp">#include</span><span class="w"> </span><span class="cpf"><stdio.h></span>
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<span class="linenos"> 2</span>
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<span class="linenos"> 3</span><span class="kt">int</span><span class="w"> </span><span class="nf">main</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">argc</span><span class="p">,</span><span class="w"> </span><span class="kt">char</span><span class="o">*</span><span class="w"> </span><span class="n">argv</span><span class="p">[])</span><span class="w"> </span><span class="p">{</span>
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<span class="linenos"> 4</span><span class="w"> </span><span class="c1">// 假设所有数据均位于DDR空间</span>
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<span class="linenos"> 5</span><span class="w"> </span><span class="kt">float</span><span class="o">*</span><span class="w"> </span><span class="n">m</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">float</span><span class="o">*</span><span class="p">)</span><span class="mh">0xC0000000</span><span class="p">;</span>
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<span class="linenos"> 6</span><span class="w"> </span><span class="kt">float</span><span class="o">*</span><span class="w"> </span><span class="n">v</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">float</span><span class="o">*</span><span class="p">)</span><span class="mh">0xC1000000</span><span class="p">;</span>
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<span class="linenos"> 7</span><span class="w"> </span><span class="kt">float</span><span class="o">*</span><span class="w"> </span><span class="n">gradient</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">float</span><span class="o">*</span><span class="p">)</span><span class="mh">0xC2000000</span><span class="p">;</span>
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<span class="linenos"> 8</span><span class="w"> </span><span class="kt">float</span><span class="o">*</span><span class="w"> </span><span class="n">weight</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">float</span><span class="o">*</span><span class="p">)</span><span class="mh">0xC3000000</span><span class="p">;</span>
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<span class="linenos"> 9</span>
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<span class="linenos">10</span><span class="w"> </span><span class="c1">// 标量参数</span>
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<span class="linenos">11</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">beta1</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">0.9f</span><span class="p">;</span>
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<span class="linenos">12</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">beta2</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">0.999f</span><span class="p">;</span>
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<span class="linenos">13</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">beta1_power_val</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">0.9f</span><span class="p">;</span><span class="w"> </span><span class="c1">// beta1^1</span>
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<span class="linenos">14</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">beta2_power_val</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">0.999f</span><span class="p">;</span><span class="w"> </span><span class="c1">// beta2^1</span>
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<span class="linenos">15</span><span class="w"> </span><span class="kt">float</span><span class="o">*</span><span class="w"> </span><span class="n">beta1_power</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">&</span><span class="n">beta1_power_val</span><span class="p">;</span>
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<span class="linenos">16</span><span class="w"> </span><span class="kt">float</span><span class="o">*</span><span class="w"> </span><span class="n">beta2_power</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">&</span><span class="n">beta2_power_val</span><span class="p">;</span>
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<span class="linenos">17</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">eps</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">1e-8f</span><span class="p">;</span>
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<span class="linenos">18</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">learning_rate</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">0.001f</span><span class="p">;</span>
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<span class="linenos">19</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">nesterov</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span>
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<span class="linenos">20</span>
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<span class="linenos">21</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">start</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
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<span class="linenos">22</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">end</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">800000</span><span class="p">;</span><span class="w"> </span><span class="c1">// 元素总数</span>
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<span class="linenos">23</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">core_mask</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mh">0xff</span><span class="p">;</span><span class="w"> </span><span class="c1">// 使用所有核心</span>
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<span class="linenos">24</span>
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<span class="hll"><span class="linenos">25</span><span class="w"> </span><span class="n">fp_adam_s</span><span class="p">(</span><span class="n">m</span><span class="p">,</span><span class="w"> </span><span class="n">v</span><span class="p">,</span><span class="w"> </span><span class="n">gradient</span><span class="p">,</span><span class="w"> </span><span class="n">weight</span><span class="p">,</span><span class="w"> </span><span class="n">beta1</span><span class="p">,</span><span class="w"> </span><span class="n">beta2</span><span class="p">,</span><span class="w"> </span><span class="n">beta1_power</span><span class="p">,</span><span class="w"> </span><span class="n">beta2_power</span><span class="p">,</span>
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</span><span class="hll"><span class="linenos">26</span><span class="w"> </span><span class="n">eps</span><span class="p">,</span><span class="w"> </span><span class="n">learning_rate</span><span class="p">,</span><span class="w"> </span><span class="n">nesterov</span><span class="p">,</span><span class="w"> </span><span class="n">start</span><span class="p">,</span><span class="w"> </span><span class="n">end</span><span class="p">,</span><span class="w"> </span><span class="n">core_mask</span><span class="p">);</span>
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</span><span class="linenos">27</span>
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<span class="linenos">28</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
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<span class="linenos">29</span><span class="p">}</span>
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</pre></div>
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</div>
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</dd></dl>
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<p><strong>私有存储版本:</strong></p>
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<dl class="c function">
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<dt class="sig sig-object c" id="c.fp_adam_p">
|
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<span class="kt"><span class="pre">void</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">fp_adam_p</span></span></span><span class="sig-paren">(</span><span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">m</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">v</span></span>, <span class="k"><span class="pre">const</span></span><span class="w"> </span><span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">gradient</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">weight</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="n"><span class="pre">beta1</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="n"><span class="pre">beta2</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">beta1_power</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="p"><span class="pre">*</span></span><span class="n"><span class="pre">beta2_power</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="n"><span class="pre">eps</span></span>, <span class="kt"><span class="pre">float</span></span><span class="w"> </span><span class="n"><span class="pre">learning_rate</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">nesterov</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">start</span></span>, <span class="kt"><span class="pre">int</span></span><span class="w"> </span><span class="n"><span class="pre">end</span></span><span class="sig-paren">)</span><a class="headerlink" href="#c.fp_adam_p" title="Link to this definition"></a><br /></dt>
|
||
<dd><p><strong>C调用示例：</strong></p>
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<div class="highlight-c notranslate"><div class="highlight"><pre><span></span><span class="linenos"> 1</span><span class="cp">#include</span><span class="w"> </span><span class="cpf"><stdio.h></span>
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<span class="linenos"> 2</span>
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<span class="linenos"> 3</span><span class="kt">int</span><span class="w"> </span><span class="nf">main</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">argc</span><span class="p">,</span><span class="w"> </span><span class="kt">char</span><span class="o">*</span><span class="w"> </span><span class="n">argv</span><span class="p">[])</span><span class="w"> </span><span class="p">{</span>
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<span class="linenos"> 4</span><span class="w"> </span><span class="c1">// 假设所有数据均位于L2/AM空间</span>
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<span class="linenos"> 5</span><span class="w"> </span><span class="kt">float</span><span class="o">*</span><span class="w"> </span><span class="n">m</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">float</span><span class="o">*</span><span class="p">)</span><span class="mh">0x10820000</span><span class="p">;</span>
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<span class="linenos"> 6</span><span class="w"> </span><span class="kt">float</span><span class="o">*</span><span class="w"> </span><span class="n">v</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">float</span><span class="o">*</span><span class="p">)</span><span class="mh">0x10830000</span><span class="p">;</span>
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<span class="linenos"> 7</span><span class="w"> </span><span class="kt">float</span><span class="o">*</span><span class="w"> </span><span class="n">gradient</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">float</span><span class="o">*</span><span class="p">)</span><span class="mh">0x10840000</span><span class="p">;</span>
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<span class="linenos"> 8</span><span class="w"> </span><span class="kt">float</span><span class="o">*</span><span class="w"> </span><span class="n">weight</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">float</span><span class="o">*</span><span class="p">)</span><span class="mh">0x10850000</span><span class="p">;</span>
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<span class="linenos"> 9</span>
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<span class="linenos">10</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">beta1</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">0.9f</span><span class="p">;</span>
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<span class="linenos">11</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">beta2</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">0.999f</span><span class="p">;</span>
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<span class="linenos">12</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">beta1_power_val</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">0.9f</span><span class="p">;</span>
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<span class="linenos">13</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">beta2_power_val</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">0.999f</span><span class="p">;</span>
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<span class="linenos">14</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">eps</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">1e-8f</span><span class="p">;</span>
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<span class="linenos">15</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">learning_rate</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">0.001f</span><span class="p">;</span>
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<span class="linenos">16</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">nesterov</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
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<span class="linenos">17</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">start</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
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<span class="linenos">18</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">end</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">2000</span><span class="p">;</span>
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<span class="linenos">19</span>
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<span class="hll"><span class="linenos">20</span><span class="w"> </span><span class="n">fp_adam_p</span><span class="p">(</span><span class="n">m</span><span class="p">,</span><span class="w"> </span><span class="n">v</span><span class="p">,</span><span class="w"> </span><span class="n">gradient</span><span class="p">,</span><span class="w"> </span><span class="n">weight</span><span class="p">,</span><span class="w"> </span><span class="n">beta1</span><span class="p">,</span><span class="w"> </span><span class="n">beta2</span><span class="p">,</span><span class="w"> </span><span class="o">&</span><span class="n">beta1_power_val</span><span class="p">,</span><span class="w"> </span><span class="o">&</span><span class="n">beta2_power_val</span><span class="p">,</span>
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</span><span class="hll"><span class="linenos">21</span><span class="w"> </span><span class="n">eps</span><span class="p">,</span><span class="w"> </span><span class="n">learning_rate</span><span class="p">,</span><span class="w"> </span><span class="n">nesterov</span><span class="p">,</span><span class="w"> </span><span class="n">start</span><span class="p">,</span><span class="w"> </span><span class="n">end</span><span class="p">);</span>
|
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</span><span class="linenos">22</span>
|
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<span class="linenos">23</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
|
||
<span class="linenos">24</span><span class="p">}</span>
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||
</pre></div>
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||
</div>
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