|
|
- %\documentclass[wcp,gray]{jmlr} % test grayscale version
- %\documentclass[wcp]{jmlr}% former name JMLR W\&CP
- \documentclass[pmlr]{jmlr}% new name PMLR (Proceedings of Machine Learning)
-
- % The following packages will be automatically loaded:
- % amsmath, amssymb, natbib, graphicx, url, algorithm2e
-
- %\usepackage{rotating}% for sideways figures and tables
- \usepackage{longtable}% for long tables
-
- % The booktabs package is used by this sample document
- % (it provides \toprule, \midrule and \bottomrule).
- % Remove the next line if you don't require it.
- \usepackage{booktabs}
- % The siunitx package is used by this sample document
- % to align numbers in a column by their decimal point.
- % Remove the next line if you don't require it.
- \usepackage[load-configurations=version-1]{siunitx} % newer version
- %\usepackage{siunitx}
-
- % The following command is just for this sample document:
- \newcommand{\cs}[1]{\texttt{\char`\\#1}}
-
- % Define an unnumbered theorem just for this sample document:
- \theorembodyfont{\upshape}
- \theoremheaderfont{\scshape}
- \theorempostheader{:}
- \theoremsep{\newline}
- \newtheorem*{note}{Note}
-
- % change the arguments, as appropriate, in the following:
- \jmlrvolume{1}
- \jmlryear{2010}
- \jmlrworkshop{Workshop Title}
-
- \title[Short Title]{Full Title of Article\titlebreak This Title Has
- A Line Break\titletag{\thanks{sample footnote}}}
-
- % Use \Name{Author Name} to specify the name.
- % If the surname contains spaces, enclose the surname
- % in braces, e.g. \Name{John {Smith Jones}} similarly
- % if the name has a "von" part, e.g \Name{Jane {de Winter}}.
- % If the first letter in the forenames is a diacritic
- % enclose the diacritic in braces, e.g. \Name{{\'E}louise Smith}
-
- % Two authors with the same address
- \author{\Name{Author Name1\nametag{\thanks{with a note}}} \Email{abc@sample.com}\and
- \Name{Author Name2} \Email{xyz@sample.com}\\
- \addr Address}
-
- % Three or more authors with the same address:
- % \author{\Name{Author Name1} \Email{an1@sample.com}\\
- % \Name{Author Name2} \Email{an2@sample.com}\\
- % \Name{Author Name3} \Email{an3@sample.com}\\
- % \Name{Author Name4} \Email{an4@sample.com}\\
- % \Name{Author Name5} \Email{an5@sample.com}\\
- % \Name{Author Name6} \Email{an6@sample.com}\\
- % \Name{Author Name7} \Email{an7@sample.com}\\
- % \Name{Author Name8} \Email{an8@sample.com}\\
- % \Name{Author Name9} \Email{an9@sample.com}\\
- % \Name{Author Name10} \Email{an10@sample.com}\\
- % \Name{Author Name11} \Email{an11@sample.com}\\
- % \Name{Author Name12} \Email{an12@sample.com}\\
- % \Name{Author Name13} \Email{an13@sample.com}\\
- % \Name{Author Name14} \Email{an14@sample.com}\\
- % \addr Address}
-
-
- % Authors with different addresses:
- % \author{\Name{Author Name1} \Email{abc@sample.com}\\
- % \addr Address 1
- % \AND
- % \Name{Author Name2} \Email{xyz@sample.com}\\
- % \addr Address 2
- %}
-
- \editor{Editor's name}
- % \editors{List of editors' names}
-
- \begin{document}
-
- \maketitle
-
- \begin{abstract}
- This is the abstract for this article.
- \end{abstract}
- \begin{keywords}
- List of keywords
- \end{keywords}
-
- \section{Introduction}
- \label{sec:intro}
-
- This is a sample article that uses the \textsf{jmlr} class with
- the \texttt{wcp} class option. Please follow the guidelines in
- this sample document as it can help to reduce complications when
- combining the articles into a book. Please avoid using obsolete
- commands, such as \verb|\rm|, and obsolete packages, such as
- \textsf{epsfig}.\footnote{See
- \url{http://www.ctan.org/pkg/l2tabu}}
-
- Please also ensure that your document will compile with PDF\LaTeX.
- If you have an error message that's puzzling you, first check for it
- at the UK TUG FAQ
- \url{http://www.tex.ac.uk/cgi-bin/texfaq2html?label=man-latex}. If
- that doesn't help, create a minimal working example (see
- \url{http://theoval.cmp.uea.ac.uk/~nlct/latex/minexample/}) and post
- to somewhere like TeX on StackExchange
- (\url{http://tex.stackexchange.com/}) or the LaTeX Community Forum
- (\url{http://www.latex-community.org/forum/}).
-
- \begin{note}
- This is an numbered theorem-like environment that was defined in
- this document's preamble.
- \end{note}
-
- \subsection{Sub-sections}
-
- Sub-sections are produced using \verb|\subsection|.
-
- \subsubsection{Sub-sub-sections}
-
- Sub-sub-sections are produced using \verb|\subsubsection|.
-
- \paragraph{Sub-sub-sub-sections}
-
- Sub-sub-sub-sections are produced using \verb|\paragraph|.
- These are unnumbered with a running head.
-
- \subparagraph{Sub-sub-sub-sub-sections}
-
- Sub-sub-sub-sub-sections are produced using \verb|\subparagraph|.
- These are unnumbered with a running head.
-
- \section{Cross-Referencing}
-
- Always use \verb|\label| and \verb|\ref| (or one of the commands
- described below) when cross-referencing. For example, the next
- section is Section~\ref{sec:math}. The \textsf{jmlr} class
- provides some convenient cross-referencing commands:
- \verb|\sectionref|, \verb|\equationref|, \verb|\tableref|,
- \verb|\figureref|, \verb|\algorithmref|, \verb|\theoremref|,
- \verb|\lemmaref|, \verb|\remarkref|, \verb|\corollaryref|,
- \verb|\definitionref|, \verb|\conjectureref|, \verb|\axiomref|,
- \verb|\exampleref| and \verb|\appendixref|. The argument of these
- commands may either be a single label or a comma-separated list
- of labels. Examples:
-
- Referencing sections: \sectionref{sec:math} or
- \sectionref{sec:intro,sec:math} or
- \sectionref{sec:intro,sec:math,sec:tables,sec:figures}.
-
- Referencing equations: \equationref{eq:trigrule} or
- \equationref{eq:trigrule,eq:df} or
- \equationref{eq:trigrule,eq:f,eq:df,eq:y}.
-
- Referencing tables: \tableref{tab:operatornames} or
- \tableref{tab:operatornames,tab:example} or
- \tableref{tab:operatornames,tab:example,tab:example-booktabs}.
-
- Referencing figures: \figureref{fig:nodes} or
- \figureref{fig:nodes,fig:teximage} or
- \figureref{fig:nodes,fig:teximage,fig:subfigex} or
- \figureref{fig:circle,fig:square}.
-
- Referencing algorithms: \algorithmref{alg:gauss} or
- \algorithmref{alg:gauss,alg:moore} or
- \algorithmref{alg:gauss,alg:moore,alg:net}.
-
- Referencing theorem-like environments: \theoremref{thm:eigenpow},
- \lemmaref{lem:sample}, \remarkref{rem:sample},
- \corollaryref{cor:sample}, \definitionref{def:sample},
- \conjectureref{con:sample}, \axiomref{ax:sample} and
- \exampleref{ex:sample}.
-
- Referencing appendices: \appendixref{apd:first} or
- \appendixref{apd:first,apd:second}.
-
- \section{Equations}
- \label{sec:math}
-
- The \textsf{jmlr} class loads the \textsf{amsmath} package, so
- you can use any of the commands and environments defined there.
- (See the \textsf{amsmath} documentation for further
- details.\footnote{Either \texttt{texdoc amsmath} or
- \url{http://www.ctan.org/pkg/amsmath}})
-
- Unnumbered single-lined equations should be displayed using
- \verb|\[| and \verb|\]|. For example:
- \[E = m c^2\]
- Numbered single-line equations should be displayed using the
- \texttt{equation} environment. For example:
- \begin{equation}\label{eq:trigrule}
- \cos^2\theta + \sin^2\theta \equiv 1
- \end{equation}
- This can be referenced using \verb|\label| and \verb|\equationref|.
- For example, \equationref{eq:trigrule}.
-
- Multi-lined numbered equations should be displayed using the
- \texttt{align} environment.\footnote{For reasons why you
- shouldn't use the obsolete \texttt{eqnarray} environment, see
- Lars Madsen, \emph{Avoid eqnarray!} TUGboat 33(1):21--25, 2012.} For example:
- \begin{align}
- f(x) &= x^2 + x\label{eq:f}\\
- f'(x) &= 2x + 1\label{eq:df}
- \end{align}
- Unnumbered multi-lined equations should be displayed using the
- \texttt{align*} environment. For example:
- \begin{align*}
- f(x) &= (x+1)(x-1)\\
- &= x^2 - 1
- \end{align*}
- If you want to mix numbered with unnumbered lines use the
- align environment and suppress unwanted line numbers with
- \verb|\nonumber|. For example:
- \begin{align}
- y &= x^2 + 3x - 2x + 1\nonumber\\
- &= x^2 + x + 1\label{eq:y}
- \end{align}
- An equation that is too long to fit on a single line can be
- displayed using the \texttt{split} environment.
- Text can be embedded in an equation using \verb|\text| or
- \verb|\intertext| (as used in \theoremref{thm:eigenpow}).
- See the \textsf{amsmath} documentation for further details.
-
- \subsection{Operator Names}
- \label{sec:op}
-
- Predefined operator names are listed in \tableref{tab:operatornames}.
- For additional operators, either use \verb|\operatorname|,
- for example $\operatorname{var}(X)$ or declare it with
- \verb|\DeclareMathOperator|, for example
- \begin{verbatim}
- \DeclareMathOperator{\var}{var}
- \end{verbatim}
- and then use this new command. If you want limits that go above and
- below the operator (like \verb|\sum|) use the starred versions
- (\verb|\operatorname*| or \verb|\DeclareMathOperator*|).
-
- \begin{table}[htbp]
- \floatconts
- {tab:operatornames}%
- {\caption{Predefined Operator Names (taken from
- \textsf{amsmath} documentation)}}%
- {%
- \begin{tabular}{rlrlrlrl}
- \cs{arccos} & $\arccos$ & \cs{deg} & $\deg$ & \cs{lg} & $\lg$ & \cs{projlim} & $\projlim$ \\
- \cs{arcsin} & $\arcsin$ & \cs{det} & $\det$ & \cs{lim} & $\lim$ & \cs{sec} & $\sec$ \\
- \cs{arctan} & $\arctan$ & \cs{dim} & $\dim$ & \cs{liminf} & $\liminf$ & \cs{sin} & $\sin$ \\
- \cs{arg} & $\arg$ & \cs{exp} & $\exp$ & \cs{limsup} & $\limsup$ & \cs{sinh} & $\sinh$ \\
- \cs{cos} & $\cos$ & \cs{gcd} & $\gcd$ & \cs{ln} & $\ln$ & \cs{sup} & $\sup$ \\
- \cs{cosh} & $\cosh$ & \cs{hom} & $\hom$ & \cs{log} & $\log$ & \cs{tan} & $\tan$ \\
- \cs{cot} & $\cot$ & \cs{inf} & $\inf$ & \cs{max} & $\max$ & \cs{tanh} & $\tanh$ \\
- \cs{coth} & $\coth$ & \cs{injlim} & $\injlim$ & \cs{min} & $\min$ \\
- \cs{csc} & $\csc$ & \cs{ker} & $\ker$ & \cs{Pr} & $\Pr$
- \end{tabular}\par
- \begin{tabular}{rlrl}
- \cs{varlimsup} & $\varlimsup$
- & \cs{varinjlim} & $\varinjlim$\\
- \cs{varliminf} & $\varliminf$
- & \cs{varprojlim} & $\varprojlim$
- \end{tabular}
- }
- \end{table}
-
- \section{Vectors and Sets}
- \label{sec:vec}
-
- Vectors should be typeset using \cs{vec}. For example $\vec{x}$.
- The \textsf{jmlr} class also provides \cs{set} to typeset a
- set. For example $\set{S}$.
-
- \section{Floats}
- \label{sec:floats}
-
- Floats, such as figures, tables and algorithms, are moving
- objects and are supposed to float to the nearest convenient
- location. Please don't force them to go in a particular place. In
- general it's best to use the \texttt{htbp} specifier and don't
- put the figure or table in the middle of a paragraph (that is
- make sure there's a paragraph break above and below the float).
- Floats are supposed to have a little extra space above and below
- them to make them stand out from the rest of the text. This extra
- spacing is put in automatically and shouldn't need modifying.
-
- To ensure consistency, please \emph{don't} try changing the format of the caption by doing
- something like:
- \begin{verbatim}
- \caption{\textit{A Sample Caption.}}
- \end{verbatim}
- or
- \begin{verbatim}
- \caption{\em A Sample Caption.}
- \end{verbatim}
- You can, of course, change the font for individual words or
- phrases, for example:
- \begin{verbatim}
- \caption{A Sample Caption With Some \emph{Emphasized Words}.}
- \end{verbatim}
-
- \subsection{Tables}
- \label{sec:tables}
-
- Tables should go in the \texttt{table} environment. Within this
- environment use \verb|\floatconts| (defined by \textsf{jmlr})
- to set the caption correctly and center the table contents.
-
- \begin{table}[htbp]
- % The first argument is the label.
- % The caption goes in the second argument, and the table contents
- % go in the third argument.
- \floatconts
- {tab:example}%
- {\caption{An Example Table}}%
- {\begin{tabular}{ll}
- \bfseries Dataset & \bfseries Result\\
- Data1 & 0.12345\\
- Data2 & 0.67890\\
- Data3 & 0.54321\\
- Data4 & 0.09876
- \end{tabular}}
- \end{table}
-
- If you want horizontal rules you can use the \textsf{booktabs}
- package which provides the commands \verb|\toprule|,
- \verb|\midrule| and \verb|\bottomrule|. For example, see
- \tableref{tab:example-booktabs}.
-
- \begin{table}[hbtp]
- \floatconts
- {tab:example-booktabs}
- {\caption{A Table With Horizontal Lines}}
- {\begin{tabular}{ll}
- \toprule
- \bfseries Dataset & \bfseries Result\\
- \midrule
- Data1 & 0.12345\\
- Data2 & 0.67890\\
- Data3 & 0.54321\\
- Data4 & 0.09876\\
- \bottomrule
- \end{tabular}}
- \end{table}
-
- If you want vertical lines as well, you can't use the
- \textsf{booktabs} commands as there'll be some unwanted gaps.
- Instead you can use \LaTeX's \verb|\hline|, but the rows may
- appear a bit cramped. You can add extra space above or below a
- row using \verb|\abovestrut| and \verb|\belowstrut|. For example,
- see \tableref{tab:example-hline}.
-
- \begin{table}[htbp]
- \floatconts
- {tab:example-hline}
- {\caption{A Table With Horizontal and Vertical Lines}}%
- {%
- \begin{tabular}{|l|l|}
- \hline
- \abovestrut{2.2ex}\bfseries Dataset & \bfseries Result\\\hline
- \abovestrut{2.2ex}Data1 & 0.12345\\
- Data2 & 0.67890\\
- Data3 & 0.54321\\
- \belowstrut{0.2ex}Data4 & 0.09876\\\hline
- \end{tabular}
- }
- \end{table}
-
- If you want to align numbers on their decimal point, you can
- use the \textsf{siunitx} package. For example, see
- \tableref{tab:example-siunitx}. For further details see the
- \textsf{siunitx} documentation\footnote{Either \texttt{texdoc
- siunitx} or \url{http://www.ctan.org/pkg/siunitx}}.
-
- \begin{table}[htbp]
- \floatconts
- {tab:example-siunitx}
- {\caption{A Table With Numbers Aligned on the Decimal Point}}
- {\begin{tabular}{lS[tabformat=3.5]}
- \bfseries Dataset & {\bfseries Result}\\
- Data1 & 0.12345\\
- Data2 & 10.6789\\
- Data3 & 50.543\\
- Data4 & 200.09876
- \end{tabular}}
- \end{table}
-
- If the table is too wide, you can adjust the inter-column
- spacing by changing the value of \verb|\tabcolsep|. For
- example:
- \begin{verbatim}
- \setlength{\tabcolsep}{3pt}
- \end{verbatim}
- If the table is very wide but not very long, you can use the
- \texttt{sidewaystable} environment defined in the
- \textsf{rotating} package (so use \verb|\usepackage{rotating}|).
- If the table is too long to fit on a page, you should use the
- \texttt{longtable} environment defined in the \textsf{longtable}
- package (so use \verb|\usepackage{longtable}|).
-
- \subsection{Figures}
- \label{sec:figures}
-
- Figures should go in the \texttt{figure} environment. Within this
- environment, use \verb|\floatconts| to correctly position the
- caption and center the image. Use \verb|\includegraphics|
- for external graphics files but omit the file extension. Do not
- use \verb|\epsfig| or \verb|\psfig|. If you want to scale the
- image, it's better to use a fraction of the line width rather
- than an explicit length. For example, see \figureref{fig:nodes}.
-
- \begin{figure}[htbp]
- % Caption and label go in the first argument and the figure contents
- % go in the second argument
- \floatconts
- {fig:nodes}
- {\caption{Example Image}}
- {\includegraphics[width=0.5\linewidth]{images/nodes}}
- \end{figure}
-
- If your image is made up of \LaTeX\ code (for example, commands
- provided by the \textsf{pgf} package) you can include it using
- \cs{includeteximage} (defined by the \textsf{jmlr} class). This
- can be scaled and rotated in the same way as \cs{includegraphics}.
- For example, see \figureref{fig:teximage}.
-
- \begin{figure}[htbp]
- \floatconts
- {fig:teximage}
- {\caption{Image Created Using \LaTeX\ Code}}
- {\includeteximage[angle=45]{images/teximage}}
- \end{figure}
-
- If the figure is too wide to fit on the page, you can use the
- \texttt{sidewaysfigure} environment defined in the
- \textsf{rotating} package.
-
- Don't use \verb|\graphicspath|. If the images are contained in
- a subdirectory, specify this when you include the image, for
- example \verb|\includegraphics{figures/mypic}|.
-
- \subsubsection{Sub-Figures}
- \label{sec:subfigures}
-
- Sub-figures can be created using \verb|\subfigure|, which is
- defined by the \textsf{jmlr} class. The optional argument allows
- you to provide a subcaption. The label should be placed in the
- mandatory argument of \verb|\subfigure|. You can reference the
- entire figure, for example \figureref{fig:subfigex}, or you can
- reference part of the figure using \verb|\figureref|, for example
- \figureref{fig:circle}. Alternatively you can reference the
- subfigure using \verb|\subfigref|, for example
- \subfigref{fig:circle,fig:square} in \figureref{fig:subfigex}.
-
- \begin{figure}[htbp]
- \floatconts
- {fig:subfigex}
- {\caption{An Example With Sub-Figures.}}
- {%
- \subfigure[A Circle]{\label{fig:circle}%
- \includegraphics[width=0.2\linewidth]{images/circle}}%
- \qquad
- \subfigure[A Square]{\label{fig:square}%
- \includegraphics[width=0.2\linewidth]{images/square}}
- }
- \end{figure}
-
- By default, the sub-figures are aligned on the baseline.
- This can be changed using the second optional argument
- of \verb|\subfigure|. This may be \texttt{t} (top), \texttt{c}
- (centered) or \texttt{b} (bottom). For example, the subfigures
- \subfigref{fig:circle2,fig:square2} in \figureref{fig:subfigex2}
- both have \verb|[c]| as the second optional argument.
-
- \begin{figure}[htbp]
- \floatconts
- {fig:subfigex2}
- {\caption{Another Example With Sub-Figures.}}
- {%
- \subfigure[A Small Circle][c]{\label{fig:circle2}%
- \includegraphics[width=0.1\linewidth]{images/circle}}%
- \qquad
- \subfigure[A Square][c]{\label{fig:square2}%
- \includegraphics[width=0.2\linewidth]{images/square}}
- }
- \end{figure}
-
- \subsection{Sub-Tables}
- \label{sec:subtables}
- There is an analogous command \verb|\subtable| for sub-tables.
- It has the same syntax as \verb|\subfigure| described above.
- You can reference the table using \verb|\tableref|, for example
- \tableref{tab:subtabex} or you can reference part of the table,
- for example \tableref{tab:ab}. Alternatively you can reference the
- subtable using \verb|\subtabref|, for example
- \subtabref{tab:ab,tab:cd} in \tableref{tab:subtabex}.
-
- \begin{table}[htbp]
- \floatconts
- {tab:subtabex}
- {\caption{An Example With Sub-Tables}}
- {%
- \subtable{%
- \label{tab:ab}%
- \begin{tabular}{cc}
- \bfseries A & \bfseries B\\
- 1 & 2
- \end{tabular}
- }\qquad
- \subtable{%
- \label{tab:cd}%
- \begin{tabular}{cc}
- \bfseries C & \bfseries D\\
- 3 & 4\\
- 5 & 6
- \end{tabular}
- }
- }
- \end{table}
-
- By default, the sub-tables are aligned on the top.
- This can be changed using the second optional argument
- of \verb|\subtable|. This may be \texttt{t} (top), \texttt{c}
- (centered) or \texttt{b} (bottom). For example, the sub-tables
- \subtabref{tab:ab2,tab:cd2} in \tableref{tab:subtabex2}
- both have \verb|[c]| as the second optional argument.
-
- \begin{table}[htbp]
- \floatconts
- {tab:subtabex2}
- {\caption{Another Example With Sub-Tables}}
- {%
- \subtable[][c]{%
- \label{tab:ab2}%
- \begin{tabular}{cc}
- \bfseries A & \bfseries B\\
- 1 & 2
- \end{tabular}
- }\qquad
- \subtable[][c]{%
- \label{tab:cd2}%
- \begin{tabular}{cc}
- \bfseries C & \bfseries D\\
- 3 & 4\\
- 5 & 6
- \end{tabular}
- }
- }
- \end{table}
-
- \subsection{Algorithms}
- \label{sec:algorithms}
-
- Enumerated textual algorithms can be displayed using the
- \texttt{algorithm} environment. Within this environment, use
- use an \texttt{enumerate} or nested \texttt{enumerate} environments.
- For example, see \algorithmref{alg:gauss}. Note that algorithms
- float like figures and tables.
-
- \begin{algorithm}[htbp]
- \floatconts
- {alg:gauss}% label
- {\caption{The Gauss-Seidel Algorithm}}
- {% contents
- \begin{enumerate}
- \item For $k=1$ to maximum number of iterations
- \begin{enumerate}
- \item For $i=1$ to $n$
- \begin{enumerate}
- \item $x_i^{(k)} =
- \frac{b_i - \sum_{j=1}^{i-1}a_{ij}x_j^{(k)}
- - \sum_{j=i+1}^{n}a_{ij}x_j^{(k-1)}}{a_{ii}}$
- \item If $\|\vec{x}^{(k)}-\vec{x}^{(k-1)} < \epsilon\|$,
- where $\epsilon$ is a specified stopping criteria, stop.
- \end{enumerate}
- \end{enumerate}
- \end{enumerate}
- }
- \end{algorithm}
-
- You can use \verb|\caption| and \verb|\label| without using
- \verb|\floatconts| (as in \algorithmref{alg:moore}).
-
- If you'd rather have the same numbering throughout the algorithm
- but still want the convenient indentation of nested
- \texttt{enumerate} environments, you can use the
- \texttt{enumerate*} environment provided by the \textsf{jmlr}
- class. For example, see \algorithmref{alg:moore}.
-
- \begin{algorithm}
- \caption{Moore's Shortest Path}\label{alg:moore}
- Given a connected graph $G$, where the length of each edge is 1:
- \begin{enumerate*}
- \item Set the label of vertex $s$ to 0
- \item Set $i=0$
- \begin{enumerate*}
- \item \label{step:locate}Locate all unlabelled vertices
- adjacent to a vertex labelled $i$ and label them $i+1$
- \item If vertex $t$ has been labelled,
- \begin{enumerate*}
- \item[] the shortest path can be found by backtracking, and
- the length is given by the label of $t$.
- \end{enumerate*}
- otherwise
- \begin{enumerate*}
- \item[] increment $i$ and return to step~\ref{step:locate}
- \end{enumerate*}
- \end{enumerate*}
- \end{enumerate*}
- \end{algorithm}
-
- Pseudo code can be displayed using the \texttt{algorithm2e}
- environment. This is defined by the \textsf{algorithm2e} package
- (which is automatically loaded) so check the \textsf{algorithm2e}
- documentation for further details.\footnote{Either \texttt{texdoc
- algorithm2e} or \url{http://www.ctan.org/pkg/algorithm2e}}
- For an example, see \algorithmref{alg:net}.
-
- \begin{algorithm2e}
- \caption{Computing Net Activation}
- \label{alg:net}
- % older versions of algorithm2e have \dontprintsemicolon instead
- % of the following:
- %\DontPrintSemicolon
- % older versions of algorithm2e have \linesnumbered instead of the
- % following:
- %\LinesNumbered
- \KwIn{$x_1, \ldots, x_n, w_1, \ldots, w_n$}
- \KwOut{$y$, the net activation}
- $y\leftarrow 0$\;
- \For{$i\leftarrow 1$ \KwTo $n$}{
- $y \leftarrow y + w_i*x_i$\;
- }
- \end{algorithm2e}
-
- \section{Description Lists}
-
- The \textsf{jmlr} class also provides a description-like
- environment called \texttt{altdescription}. This has an
- argument that should be the widest label in the list. Compare:
- \begin{description}
- \item[add] A method that adds two variables.
- \item[differentiate] A method that differentiates a function.
- \end{description}
- with
- \begin{altdescription}{differentiate}
- \item[add] A method that adds two variables.
- \item[differentiate] A method that differentiates a function.
- \end{altdescription}
-
- \section{Theorems, Lemmas etc}
- \label{sec:theorems}
-
- The following theorem-like environments are predefined by
- the \textsf{jmlr} class: \texttt{theorem}, \texttt{example},
- \texttt{lemma}, \texttt{proposition}, \texttt{remark},
- \texttt{corollary}, \texttt{definition}, \texttt{conjecture}
- and \texttt{axiom}. You can use the \texttt{proof} environment
- to display the proof if need be, as in \theoremref{thm:eigenpow}.
-
- \begin{theorem}[Eigenvalue Powers]\label{thm:eigenpow}
- If $\lambda$ is an eigenvalue of $\vec{B}$ with eigenvector
- $\vec{\xi}$, then $\lambda^n$ is an eigenvalue of $\vec{B}^n$
- with eigenvector $\vec{\xi}$.
- \begin{proof}
- Let $\lambda$ be an eigenvalue of $\vec{B}$ with eigenvector
- $\xi$, then
- \begin{align*}
- \vec{B}\vec{\xi} &= \lambda\vec{\xi}
- \intertext{premultiply by $\vec{B}$:}
- \vec{B}\vec{B}\vec{\xi} &= \vec{B}\lambda\vec{\xi}\\
- \Rightarrow \vec{B}^2\vec{\xi} &= \lambda\vec{B}\vec{\xi}\\
- &= \lambda\lambda\vec{\xi}\qquad
- \text{since }\vec{B}\vec{\xi}=\lambda\vec{\xi}\\
- &= \lambda^2\vec{\xi}
- \end{align*}
- Therefore true for $n=2$. Now assume true for $n=k$:
- \begin{align*}
- \vec{B}^k\vec{\xi} &= \lambda^k\vec{\xi}
- \intertext{premultiply by $\vec{B}$:}
- \vec{B}\vec{B}^k\vec{\xi} &= \vec{B}\lambda^k\vec{\xi}\\
- \Rightarrow \vec{B}^{k+1}\vec{\xi} &= \lambda^k\vec{B}\vec{\xi}\\
- &= \lambda^k\lambda\vec{\xi}\qquad
- \text{since }\vec{B}\vec{\xi}=\lambda\vec{\xi}\\
- &= \lambda^{k+1}\vec{\xi}
- \end{align*}
- Therefore true for $n=k+1$. Therefore, by induction, true for all
- $n$.
- \end{proof}
- \end{theorem}
-
- \begin{lemma}[A Sample Lemma]\label{lem:sample}
- This is a lemma.
- \end{lemma}
-
- \begin{remark}[A Sample Remark]\label{rem:sample}
- This is a remark.
- \end{remark}
-
- \begin{corollary}[A Sample Corollary]\label{cor:sample}
- This is a corollary.
- \end{corollary}
-
- \begin{definition}[A Sample Definition]\label{def:sample}
- This is a definition.
- \end{definition}
-
- \begin{conjecture}[A Sample Conjecture]\label{con:sample}
- This is a conjecture.
- \end{conjecture}
-
- \begin{axiom}[A Sample Axiom]\label{ax:sample}
- This is an axiom.
- \end{axiom}
-
- \begin{example}[An Example]\label{ex:sample}
- This is an example.
- \end{example}
-
- \section{Color vs Grayscale}
- \label{sec:color}
-
- It's helpful if authors supply grayscale versions of their
- images in the event that the article is to be incorporated into
- a black and white printed book. With external PDF, PNG or JPG
- graphic files, you just need to supply a grayscale version of the
- file. For example, if the file is called \texttt{myimage.png},
- then the gray version should be \texttt{myimage-gray.png} or
- \texttt{myimage-gray.pdf} or \texttt{myimage-gray.jpg}. You don't
- need to modify your code. The \textsf{jmlr} class checks for
- the existence of the grayscale version if it is print mode
- (provided you have used \verb|\includegraphics| and haven't
- specified the file extension).
-
- You can use \verb|\ifprint| to determine which mode you are in.
- For example, in \figureref{fig:nodes}, the
- \ifprint{dark gray}{purple} ellipse represents an input and the
- \ifprint{light gray}{yellow} ellipse represents an output.
- Another example: {\ifprint{\bfseries}{\color{red}}important text!}
-
- You can use the class option \texttt{gray} to see how the
- document will appear in gray scale mode. \textcolor{blue}{Colored
- text} will automatically be converted to gray scale.
-
- The \textsf{jmlr} class loads the \textsf{xcolor}
- package, so you can also define your own colors. For example:
- \ifprint
- {\definecolor{myred}{gray}{0.5}}%
- {\definecolor{myred}{rgb}{0.5,0,0}}%
- \textcolor{myred}{XYZ}.
-
- The \textsf{xcolor} class is loaded with the \texttt{x11names}
- option, so you can use any of the x11 predefined colors (listed
- in the \textsf{xcolor} documentation\footnote{either
- \texttt{texdoc xcolor} or \url{http://www.ctan.org/pkg/xcolor}}).
-
- \section{Citations and Bibliography}
- \label{sec:cite}
-
- The \textsf{jmlr} class automatically loads \textsf{natbib}.
- This sample file has the citations defined in the accompanying
- BibTeX file \texttt{jmlr-sample.bib}. For a parenthetical
- citation use \verb|\citep|. For example
- \citep{guyon-elisseeff-03}. For a textual citation use
- \verb|\citet|. For example \citet{guyon2007causalreport}.
- Both commands may take a comma-separated list, for example
- \citet{guyon-elisseeff-03,guyon2007causalreport}.
-
- These commands have optional arguments and have a starred
- version. See the \textsf{natbib} documentation for further
- details.\footnote{Either \texttt{texdoc natbib} or
- \url{http://www.ctan.org/pkg/natbib}}
-
- The bibliography is displayed using \verb|\bibliography|.
-
- \acks{Acknowledgements go here.}
-
- \bibliography{jmlr-sample}
-
- \appendix
-
- \section{First Appendix}\label{apd:first}
-
- This is the first appendix.
-
- \section{Second Appendix}\label{apd:second}
-
- This is the second appendix.
-
- \end{document}
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