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📄 images.tex

📁 一种新颖的SVM算法
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\batchmode\documentclass[twoside]{article}\makeatletter \usepackage{rhultechreport2e}\title{Support Vector Machine \\  Reference Manual}   \author{C. Saunders, M. O. Stitson, J. Weston\\ Department of Computer Science\\ Royal Holloway\\ University of London\\ {\em e-mail:} \{C.Saunders,M.Stitson,J.Weston\}@dcs.rhbnc.ac.uk\andL. Bottou\\ AT\&T Speech and Image Processing Services Research Lab\\ {\em e-mail:} leonb@research.att.com\andB. Sch\"olkopf, A. Smola\\ GMD FIRST\\ {\em e-mail:} \{bs,smola\}@first.gmd.de}         \date{\today}\reportnumber{CSD-TR-98-03}\makeatother\newenvironment{tex2html_wrap}{}{}\newwrite\lthtmlwrite\def\lthtmltypeout#1{{\let\protect\string\immediate\write\lthtmlwrite{#1}}}%\newbox\sizebox\textheight 50cm\begin{document}\pagestyle{empty}\stepcounter{section}\stepcounter{section}\stepcounter{section}\stepcounter{subsection}\stepcounter{subsection}\stepcounter{subsection}\stepcounter{subsection}\stepcounter{subsection}\stepcounter{subsubsection}\stepcounter{subsection}{\newpage\clearpage\samepage\setbox\sizebox=\hbox{$\epsilon$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline518: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox}\hbox{}\vfil\stepcounter{subsubsection}{\newpage\clearpage\samepage\setbox\sizebox=\hbox{$C=\infty$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline536: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox}\hbox{}\vfil\stepcounter{subsubsection}{\newpage\clearpage\samepage\setbox\sizebox=\hbox{$0\leq |x_i-x_j| \leq 2\pi$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline548: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox}\hbox{}\vfil\stepcounter{subsubsection}{\newpage\clearpage\samepage\setbox\sizebox=\hbox{$\geq 4000$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline556: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox}\hbox{}\vfil\stepcounter{subsubsection}\stepcounter{subsubsection}{\newpage\clearpage\samepage\setbox\sizebox=\hbox{$\frac{n(n-1)}{2}$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline572: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox}\hbox{}\vfil\stepcounter{subsubsection}\stepcounter{subsection}\stepcounter{subsection}\stepcounter{subsubsection}\stepcounter{subsubsection}\stepcounter{subsubsection}\stepcounter{subsubsection}\stepcounter{section}\stepcounter{subsection}\stepcounter{section}\stepcounter{section}\stepcounter{section}\stepcounter{section}\stepcounter{section}\stepcounter{section}\appendix\stepcounter{section}{\newpage\clearpage\samepage\begin{displaymath}K(x,y)=x\cdot y\end{displaymath}}\hbox{}\vfil{\newpage\clearpage\samepage\begin{displaymath}K(x,y)=((x\cdot y)+1)^d\end{displaymath}}\hbox{}\vfil{\newpage\clearpage\samepage\begin{displaymath}K(x,y)=\frac{1-(x\cdot y)^d}{1-(x\cdot y)}\end{displaymath}}\hbox{}\vfil{\newpage\clearpage\samepage\setbox\sizebox=\hbox{$-1<(x\cdot y)<1$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline638: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox}\hbox{}\vfil{\newpage\clearpage\samepage\begin{displaymath}K(x,y)=\frac{1}{1-(x\cdot y)}\end{displaymath}}\hbox{}\vfil{\newpage\clearpage\samepage\begin{displaymath}\exp(-\gamma |x-y|^2)\end{displaymath}}\hbox{}\vfil{\newpage\clearpage\samepage\setbox\sizebox=\hbox{$\gamma$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline646: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox}\hbox{}\vfil{\newpage\clearpage\samepage\begin{displaymath}\tanh(\frac{b(x \cdot y)}{1}-c)\end{displaymath}}\hbox{}\vfil{\newpage\clearpage\samepage\begin{displaymath}1+x_ix_j+x_ix_j\min(x_i,x_j)-\frac{x_i+x_j}{2}(\min(x_ix_j))^2+\frac{(\min(x_i,x_j))^3}{3}\end{displaymath}}\hbox{}\vfil{\newpage\clearpage\samepage\setbox\sizebox=\hbox{$K(x,y)=\prod_{k=1}^{n}K_k(x^k,y^k)$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline656: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox}\hbox{}\vfil{\newpage\clearpage\samepage\begin{displaymath}\big(\frac{x\cdot y}{a}+b\big)^d\end{displaymath}}\hbox{}\vfil{\newpage\clearpage\samepage\begin{displaymath}\frac{\pi}{2\gamma}\frac{\cosh\frac{\pi-|x_i-x_j|}{\gamma}}{\sinh\frac{\pi}{\gamma}}\end{displaymath}}\hbox{}\vfil{\newpage\clearpage\samepage\begin{displaymath}[(x_i\cdot x_j)+1]^d\exp({-||x_i-x_j||^2\sigma^2})\end{displaymath}}\hbox{}\vfil{\newpage\clearpage\samepage\setbox\sizebox=\hbox{$\sigma$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline678: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox}\hbox{}\vfil{\newpage\clearpage\samepage\begin{displaymath}\frac{1-\gamma^2}{2(1-2\gamma\cos(x_i-x_j)+\gamma^2)}\end{displaymath}}\hbox{}\vfil{\newpage\clearpage\samepage\begin{displaymath}K(x,y)=(\sum_{k=1}^{n}\exp(-\gamma(x^k-y^k)^2))^{d}\end{displaymath}}\hbox{}\vfil\stepcounter{section}\stepcounter{subsection}{\newpage\clearpage\samepage\setbox\sizebox=\hbox{$f(x_1,x_2)=2 \times x_1 + x_2$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline694: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox}\hbox{}\vfil\stepcounter{subsection}\stepcounter{section}\stepcounter{subsection}\stepcounter{subsection}\stepcounter{subsection}\stepcounter{subsection}\stepcounter{subsection}{\newpage\clearpage\samepage\setbox\sizebox=\hbox{$\max(N)$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline706: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox}\hbox{}\vfil{\newpage\clearpage\samepage\setbox\sizebox=\hbox{$\min(N)$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline708: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox}\hbox{}\vfil{\newpage\clearpage\samepage\setbox\sizebox=\hbox{$s=\frac{ub-lb}{\max(N)-\min(N)}$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline710: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox}\hbox{}\vfil{\newpage\clearpage\samepage\setbox\sizebox=\hbox{$t=\frac{lb}{s}-\min(N)$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline712: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox}\hbox{}\vfil{\newpage\clearpage\samepage\setbox\sizebox=\hbox{$x_{s}=(x+t)\times s$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline716: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox}\hbox{}\vfil\stepcounter{section}\clearpage\end{document}

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