1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
|
\documentclass[11pt]{article}
\usepackage{times,latexsym,amsmath,amssymb,amsfonts,bbm,pifont}
\input{makros}
\begin{document}
\pagestyle{empty}
\[
\{\#w_y^* \mid y\in \SY\} = \argmin_{\{\#w_y\in\Re^n \mid y\in \SY\}} \Bigg [
\frac{1}{2} \sum_{y\in \SY} \|\#w_y\|^2 + C \sum_{i=1}^m
\max_{y\in \SY} \Big (\leftbb y \neq y_i\rightbb + \lz
\#w_{y}-\#w_{y_i}, \#x_i\pz \Big ) \Bigg ]
\]
\[
\{(\#x_1,y_1),\ldots,(\#x_m,y_m)\}\in (\Re^n\times \SY)^m
\]
\[
\SY=\{1,\ldots,Y\}
\]
\[
\{\#w_y^* \mid y\in \SY\}
\]
\[
f(\#x) = \sgn\left( \lz \#w^*,\#x\pz \right )
\]
\[
\lz \#w^*,\#x\pz
\]
$f(\#x) = \argmax_{y\in\SY} \lz \#w^*_y,\#x\pz$
\end{document}
|
