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Mixture distribution
--------------------
Nonparametric estimation of a mixture distribution is formulated as $\label{equ:g6}
\begin{aligned}
\theta_{qpdf} = \arg \min_{\theta \in \Theta} \sum_{j=1}^{N} \left(y_j - \prod_{i=1}^M f_{\theta_{qpdf}}(x_i)\right)^2,
\end{aligned}$ where $N$ denotes the number of experiments, $M$ denotes the number of features and $\{y_1,\cdots,y_N\}$ is the set of label values of the experiments.
Let $\{x_1,\cdots,x_M\}$ be a sequence of $M$ features. Then, there is a weight vector $p=\{p_1,\cdots,p_M\}$ such that for $j=1,\cdots,N$, $p_i = \frac{1}{\sum_{i=1}^M p_i} \cdot \frac{y_j}{\prod_{i=1}^M f_{\theta_{qpdf}}(x_i)}.$ A mixture distribution is then obtained from $\begin{aligned}
f_{\theta_{qpdf}}(x) &= \frac{1}{\sum_{i=1}^M p_i} \cdot \prod_{i=1}^M f_{\theta_{qpdf}}(x_i) \\
&= \frac{1}{\sum_{i=1}^M p_i} \cdot \prod_{i=1}^M \Big( \int_{ -\infty}^\infty K_{qpdf}( 0b46394aab
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