定义$$\begin{aligned}&\lbrace\left(x_{i}, y_{i}\right)\rbrace_{i=1}^{N}\\&x_{i} \in \mathbb{R}^{p}, \quad y_{i} \in \lbrace 0,1\rbrace\end{ ...

数据$$\begin{aligned}&\lbrace\left(x_{i}, y_{i}\right)\rbrace_{i=1}^{N}\\&x_{i} \in \mathbb{R}^{p}, \quad y_{i} \in \lbrace 0,1\rbrace\end{ ...

定义$$X = \begin{pmatrix}{x_{1}}&{x_{2}}&{\cdots}&{x_{N}}\end{pmatrix}^T_{N\times p}$$ $$Y=\left(\begin{array}{l}{y_{1}} & ...

样本集：$\lbrace (x_i, y_i) \rbrace_{i=1}^N$模型:\begin{aligned}&f(x)=\operatorname{sign}\left(w^{\top} x\right), \quad x_i \in \mathbb{R}^{p} ...

$$\begin{aligned}&D=\left\lbrace(x_1, y_1),\left(x_{2}, y_{2}\right), \cdots,\left(x_{N}, y_{N}\right)\right\rbrace \\&x_{i} \in \mathbb{ ...

$$\begin{aligned}&\varepsilon \sim N\left(0, \sigma^{2}\right)\\&y=f(w)+\varepsilon\\&f(w)=w^{\top} x_i\\&\begin{array}{l}{y ...

$$\begin{aligned}&D=\left\lbrace(x_1, y_1),\left(x_{2}, y_{2}\right), \cdots,\left(x_{N}, y_{N}\right)\right\rbrace \\&x_{i} \in \mathbb{ ...

已知：$$p(x)=N\left(x | \mu, \Lambda^{-1}\right)$$ $$p(y | x)=N\left(y | A x+b, L^{-1}\right)$$求：$p(y)$，$p(x|y)$$$\begin{aligned}&y=A ...

多元高斯分布：$$x \sim N(\mu, \Sigma) = \frac{1}{ { (2 \pi)^{\frac{p}{2}} | {\Sigma}|^{\frac{1}{2}}}} \exp \left(-\frac{1}{2}(\mathbf{x}-\boldsymbol{\mu ...

最大似然估计数据$X$$$X = \begin{pmatrix}{x_{1}}&{x_{2}}&{\cdots}&{x_{N}}\end{pmatrix}^T= \begin{pmatrix}{x_{11}}&{x_{12}}&{\cdot ...