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中科大-凸优化 笔记(lec1)-综述、简介优化问题
阅读量:315 次
发布时间:2019-03-04

本文共 788 字,大约阅读时间需要 2 分钟。

????????????????????????????????????????

$$\min_{x} f_0(x) \quad \text{subject to} \quad f_i(x) \leq b_i, \quad i = 1, \dots, m$$
???$x$??????$f_0(x)$??????$f_i(x)$??????$b_i$?????????$x^$?????????$z$???$f_0(z) \geq f_0(x^)$?

?????????????????????????????????????????????????$n$????$(x_i, y_i)$?????$a$?$b$?$c$?????$y = ax^2 + bx + c$?????????????????????

$$\min_{a,b,c} \sum_{i=1}^n \epsilon_i^2$$
???$\epsilon_i = y_i - (ax_i^2 + bx_i + c)$?

????????????????????????????????????????????????????$s$?????$d$????????????????????????????

$$\min_{x_{ij}} \sum_{(i,j) \in E} w_{ij}x_{ij} \quad \text{subject to} \quad \sum_{j}x_{ij} - \sum_{j}x_{ji} = \begin{cases}1, & i = s \-1, & i = d \0, & \text{otherwise}\end{cases}$$
???$x_{ij}$???????$(i,j)$?$w_{ij}$?????????$x_{ij}$?0?1????????????

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