Mercurial > ift6266
comparison writeup/nips2010_submission.tex @ 582:9ebb335ca904
techreport.tex
| author | Yoshua Bengio <bengioy@iro.umontreal.ca> |
|---|---|
| date | Sat, 18 Sep 2010 16:32:08 -0400 |
| parents | df749e70f637 |
| children |
comparison
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| 581:df749e70f637 | 582:9ebb335ca904 |
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| 232 where $m=10$ for dilation and $m=6$ for erosion (to avoid completely erasing thin characters). | 232 where $m=10$ for dilation and $m=6$ for erosion (to avoid completely erasing thin characters). |
| 233 A neutral element (no transformation) | 233 A neutral element (no transformation) |
| 234 is always present in the set. | 234 is always present in the set. |
| 235 %\vspace{.4cm} | 235 %\vspace{.4cm} |
| 236 %\end{minipage} | 236 %\end{minipage} |
| 237 %\vspace{-.7cm} | 237 \vspace*{3mm} |
| 238 | 238 |
| 239 \begin{minipage}[b]{0.14\linewidth} | 239 \begin{minipage}[b]{0.14\linewidth} |
| 240 \centering | 240 \centering |
| 241 \includegraphics[scale=.4]{images/Slant_only.png}\\ | 241 \includegraphics[scale=.4]{images/Slant_only.png}\\ |
| 242 {\bf Slant} | 242 {\bf Slant} |
| 246 %\centering | 246 %\centering |
| 247 To produce {\bf slant}, each row of the image is shifted | 247 To produce {\bf slant}, each row of the image is shifted |
| 248 proportionally to its height: $shift = round(slant \times height)$. | 248 proportionally to its height: $shift = round(slant \times height)$. |
| 249 $slant \sim U[-complexity,complexity]$. | 249 $slant \sim U[-complexity,complexity]$. |
| 250 The shift is randomly chosen to be either to the left or to the right. | 250 The shift is randomly chosen to be either to the left or to the right. |
| 251 \vspace{1cm} | 251 \vspace{8mm} |
| 252 \end{minipage} | 252 \end{minipage} |
| 253 %\vspace*{-4mm} | 253 \vspace*{3mm} |
| 254 | 254 |
| 255 %\begin{minipage}[b]{0.14\linewidth} | 255 %\begin{minipage}[b]{0.14\linewidth} |
| 256 %\centering | 256 %\centering |
| 257 \begin{wrapfigure}[8]{l}{0.15\textwidth} | 257 \begin{wrapfigure}[8]{l}{0.15\textwidth} |
| 258 \vspace*{-6mm} | 258 \vspace*{-6mm} |
| 272 forbid large rotations (to avoid confusing classes) but to give good | 272 forbid large rotations (to avoid confusing classes) but to give good |
| 273 variability of the transformation: $a$ and $d$ $\sim U[1-3 | 273 variability of the transformation: $a$ and $d$ $\sim U[1-3 |
| 274 complexity,1+3\,complexity]$, $b$ and $e$ $\sim U[-3 \,complexity,3\, | 274 complexity,1+3\,complexity]$, $b$ and $e$ $\sim U[-3 \,complexity,3\, |
| 275 complexity]$, and $c$ and $f \sim U[-4 \,complexity, 4 \, | 275 complexity]$, and $c$ and $f \sim U[-4 \,complexity, 4 \, |
| 276 complexity]$.\\ | 276 complexity]$.\\ |
| 277 %\end{minipage} | 277 \end{minipage} |
| 278 | 278 |
| 279 \vspace*{-4.5mm} | 279 \vspace*{-4.5mm} |
| 280 | 280 |
| 281 \begin{minipage}[t]{\linewidth} | 281 \begin{minipage}[t]{\linewidth} |
| 282 \begin{wrapfigure}[7]{l}{0.15\textwidth} | 282 \begin{wrapfigure}[7]{l}{0.15\textwidth} |