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Site updated: 2024-05-23 12:02:44
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htlpt committed May 23, 2024
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4 changes: 2 additions & 2 deletions 2024/05/09/Bayesian-Inference-VAEs/index.html
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<meta property="og:image" content="https://htplt.github.io/2024/05/09/Bayesian-Inference-VAEs/Reparameterized_Variational_Autoencoder.png">
<meta property="og:image" content="https://htplt.github.io/2024/05/09/Bayesian-Inference-VAEs/Reparameterization_Trick.png">
<meta property="article:published_time" content="2024-05-09T05:02:57.000Z">
<meta property="article:modified_time" content="2024-05-09T09:38:50.547Z">
<meta property="article:modified_time" content="2024-05-09T14:41:08.034Z">
<meta property="article:author" content="Silven Huang">
<meta property="article:tag" content="ML">
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\end{aligned}
\]</span>
最大化ELBO,就是最大化观测数据的对数似然,最小化近似后验和精确后验的散度。因此VAE的求解目标就是<span
class="math inline">\(\theta^\*,\phi^*=\underset{\theta,\phi}{\operatorname*{\arg\max}}L_{\theta,\phi}(x)\)</span></p>
class="math inline">\(\theta^*,\phi^*=\underset{\theta,\phi}{\operatorname*{\arg\max}}L_{\theta,\phi}(x)\)</span></p>
<p>其中<span class="math inline">\(\ln
p_{\theta}(x|z)\)</span>代表重建损失,可以使用蒙特卡洛采样计算,也可使用<span
class="math inline">\(-\frac12\|x-D_{\theta}(z)\|_{2}^{2}\)</span>实现。</p>
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width: 4px;
height: 4px;
border-radius: 50%;
background: #8eccff;
background: #ff12ff;
}
.links-of-blogroll {
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