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840 lines
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840 lines
28 KiB
% use the "wcp" class option for workshop and conference
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% proceedings
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%\documentclass[gray]{jmlr} % test grayscale version
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%\documentclass[tablecaption=bottom]{jmlr}% journal article
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\documentclass[tablecaption=bottom,wcp]{jmlr} % W&CP article
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% The following packages will be automatically loaded:
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% amsmath, amssymb, natbib, graphicx, url, algorithm2e
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%\usepackage{rotating}% for sideways figures and tables
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%\usepackage{longtable}% for long tables
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% The booktabs package is used by this sample document
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% (it provides \toprule, \midrule and \bottomrule).
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% Remove the next line if you don't require it.
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\usepackage{booktabs}
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% The siunitx package is used by this sample document
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% to align numbers in a column by their decimal point.
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% Remove the next line if you don't require it.
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\usepackage[load-configurations=version-1]{siunitx} % newer version
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%\usepackage{siunitx}
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% The following command is just for this sample document:
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\newcommand{\cs}[1]{\texttt{\char`\\#1}}% remove this in your real article
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% Define an unnumbered theorem just for this sample document for
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% illustrative purposes:
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\theorembodyfont{\upshape}
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\theoremheaderfont{\scshape}
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\theorempostheader{:}
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\theoremsep{\newline}
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\newtheorem*{note}{Note}
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% change the arguments, as appropriate, in the following:
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\jmlrvolume{1}
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\jmlryear{2010}
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\jmlrsubmitted{submission date}
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\jmlrpublished{publication date}
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\jmlrworkshop{workshop title} % W&CP title
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% The optional argument of \title is used in the header
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\title[Short Title]{Full Title of Article\titlebreak This Title Has
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A Line Break}
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% Anything in the title that should appear in the main title but
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% not in the article's header or the volume's table of
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% contents should be placed inside \titletag{}
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%\title{Title of the Article\titletag{\thanks{Some footnote}}}
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% Use \Name{Author Name} to specify the name.
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% If the surname contains spaces, enclose the surname
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% in braces, e.g. \Name{John {Smith Jones}} similarly
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% if the name has a "von" part, e.g \Name{Jane {de Winter}}.
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% If the first letter in the forenames is a diacritic
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% enclose the diacritic in braces, e.g. \Name{{\'E}louise Smith}
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% \thanks must come after \Name{...} not inside the argument for
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% example \Name{John Smith}\nametag{\thanks{A note}} NOT \Name{John
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% Smith\thanks{A note}}
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% Anything in the name that should appear in the title but not in the
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% article's header or footer or in the volume's
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% table of contents should be placed inside \nametag{}
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% Two authors with the same address
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\author{\Name{Author Name1\nametag{\thanks{A note}}} \Email{abc@sample.com}\and
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\Name{Author Name2} \Email{xyz@sample.com}\\
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\addr Address}
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% Three or more authors with the same address:
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% \author{\Name{Author Name1} \Email{an1@sample.com}\\
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% \Name{Author Name2} \Email{an2@sample.com}\\
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% \Name{Author Name3} \Email{an3@sample.com}\\
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% \Name{Author Name4} \Email{an4@sample.com}\\
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% \Name{Author Name5} \Email{an5@sample.com}\\
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% \Name{Author Name6} \Email{an6@sample.com}\\
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% \Name{Author Name7} \Email{an7@sample.com}\\
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% \Name{Author Name8} \Email{an8@sample.com}\\
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% \Name{Author Name9} \Email{an9@sample.com}\\
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% \Name{Author Name10} \Email{an10@sample.com}\\
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% \Name{Author Name11} \Email{an11@sample.com}\\
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% \Name{Author Name12} \Email{an12@sample.com}\\
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% \Name{Author Name13} \Email{an13@sample.com}\\
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% \Name{Author Name14} \Email{an14@sample.com}\\
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% \addr Address}
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% Authors with different addresses:
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% \author{\Name{Author Name1} \Email{abc@sample.com}\\
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% \addr Address 1
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% \AND
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% \Name{Author Name2} \Email{xyz@sample.com}\\
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% \addr Address 2
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%}
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\editor{Editor's name}
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%\editors{Editor One and Editor Two}% for multiple editors
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\begin{document}
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\maketitle
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\begin{abstract}
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This is the abstract for this article.
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\end{abstract}
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\begin{keywords}
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List of keywords
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\end{keywords}
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\section{Introduction}
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\label{sec:intro}
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This is a sample article that uses the \textsf{jmlr} class with
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the \texttt{wcp} class option. Please follow the guidelines in
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this sample document as it can help to reduce complications when
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combining the articles into a book. Please avoid using obsolete
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commands, such as \verb|\rm|, and obsolete packages, such as
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\textsf{epsfig}.\footnote{See
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\url{http://www.ctan.org/pkg/l2tabu}} Some packages that are known
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to cause problems for the production editing process are checked for
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by the \textsf{jmlr} class and will generate an error. (If you want
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to know more about the production editing process, have a look at
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the video tutorials for the production editors at
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\url{http://www.dickimaw-books.com/software/makejmlrbookgui/videos/}.)
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Please also ensure that your document will compile with PDF\LaTeX.
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If you have an error message that's puzzling you, first check for it
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at the UK TUG FAQ
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\url{http://www.tex.ac.uk/cgi-bin/texfaq2html?label=man-latex}. If
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that doesn't help, create a minimal working example (see
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\url{http://theoval.cmp.uea.ac.uk/~nlct/latex/minexample/}) and post
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to somewhere like \TeX\ on StackExchange
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(\url{http://tex.stackexchange.com/}) or the \LaTeX\ Community Forum
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(\url{http://www.latex-community.org/forum/}).
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\begin{note}
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This is an numbered theorem-like environment that was defined in
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this document's preamble.
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\end{note}
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\subsection{Sub-sections}
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Sub-sections are produced using \verb|\subsection|.
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\subsubsection{Sub-sub-sections}
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Sub-sub-sections are produced using \verb|\subsubsection|.
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\paragraph{Sub-sub-sub-sections}
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Sub-sub-sub-sections are produced using \verb|\paragraph|.
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These are unnumbered with a running head.
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\subparagraph{Sub-sub-sub-sub-sections}
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Sub-sub-sub-sub-sections are produced using \verb|\subparagraph|.
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These are unnumbered with a running head.
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\section{Cross-Referencing}
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Always use \verb|\label| and \verb|\ref| (or one of the commands
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described below) when cross-referencing. For example, the next
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section is Section~\ref{sec:math} but you can also refer to it using
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\sectionref{sec:math}. The \textsf{jmlr} class
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provides some convenient cross-referencing commands:
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\verb|\sectionref|, \verb|\equationref|, \verb|\tableref|,
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\verb|\figureref|, \verb|\algorithmref|, \verb|\theoremref|,
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\verb|\lemmaref|, \verb|\remarkref|, \verb|\corollaryref|,
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\verb|\definitionref|, \verb|\conjectureref|, \verb|\axiomref|,
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\verb|\exampleref| and \verb|\appendixref|. The argument of these
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commands may either be a single label or a comma-separated list
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of labels. Examples:
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Referencing sections: \sectionref{sec:math} or
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\sectionref{sec:intro,sec:math} or
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\sectionref{sec:intro,sec:math,sec:tables,sec:figures}.
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Referencing equations: \equationref{eq:trigrule} or
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\equationref{eq:trigrule,eq:df} or
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\equationref{eq:trigrule,eq:f,eq:df,eq:y}.
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Referencing tables: \tableref{tab:operatornames} or
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\tableref{tab:operatornames,tab:example} or
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\tableref{tab:operatornames,tab:example,tab:example-booktabs}.
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Referencing figures: \figureref{fig:nodes} or
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\figureref{fig:nodes,fig:teximage} or
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\figureref{fig:nodes,fig:teximage,fig:subfigex} or
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\figureref{fig:circle,fig:square}.
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Referencing algorithms: \algorithmref{alg:gauss} or
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\algorithmref{alg:gauss,alg:moore} or
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\algorithmref{alg:gauss,alg:moore,alg:net}.
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Referencing theorem-like environments: \theoremref{thm:eigenpow},
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\lemmaref{lem:sample}, \remarkref{rem:sample},
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\corollaryref{cor:sample}, \definitionref{def:sample},
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\conjectureref{con:sample}, \axiomref{ax:sample} and
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\exampleref{ex:sample}.
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Referencing appendices: \appendixref{apd:first} or
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\appendixref{apd:first,apd:second}.
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\section{Equations}
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\label{sec:math}
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The \textsf{jmlr} class loads the \textsf{amsmath} package, so
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you can use any of the commands and environments defined there.
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(See the \textsf{amsmath} documentation for further
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details.\footnote{Either \texttt{texdoc amsmath} or
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\url{http://www.ctan.org/pkg/amsmath}})
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Unnumbered single-lined equations should be displayed using
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\verb|\[| and \verb|\]|. For example:
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\[E = m c^2\]
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or you can use the \texttt{displaymath} environment:
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\begin{displaymath}
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E = m c^2
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\end{displaymath}
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Numbered single-line equations should be displayed using the
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\texttt{equation} environment. For example:
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\begin{equation}\label{eq:trigrule}
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\cos^2\theta + \sin^2\theta \equiv 1
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\end{equation}
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This can be referenced using \verb|\label| and \verb|\equationref|.
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For example, \equationref{eq:trigrule}.
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Multi-lined numbered equations should be displayed using the
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\texttt{align} environment.\footnote{For reasons why you
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shouldn't use the obsolete \texttt{eqnarray} environment, see
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Lars Madsen, \emph{Avoid eqnarray!} TUGboat 33(1):21--25, 2012.} For example:
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\begin{align}
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f(x) &= x^2 + x\label{eq:f}\\
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f'(x) &= 2x + 1\label{eq:df}
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\end{align}
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Unnumbered multi-lined equations can be displayed using the
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\texttt{align*} environment. For example:
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\begin{align*}
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f(x) &= (x+1)(x-1)\\
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&= x^2 - 1
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\end{align*}
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If you want to mix numbered with unnumbered lines use the
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\texttt{align} environment and suppress unwanted line numbers with
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\verb|\nonumber|. For example:
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\begin{align}
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y &= x^2 + 3x - 2x + 1\nonumber\\
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&= x^2 + x + 1\label{eq:y}
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\end{align}
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An equation that is too long to fit on a single line can be
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displayed using the \texttt{split} environment.
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Text can be embedded in an equation using \verb|\text| or
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\verb|\intertext| (as used in \theoremref{thm:eigenpow}).
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See the \textsf{amsmath} documentation for further details.
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\subsection{Operator Names}
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\label{sec:op}
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Predefined operator names are listed in \tableref{tab:operatornames}.
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For additional operators, either use \verb|\operatorname|,
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for example $\operatorname{var}(X)$ or declare it with
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\verb|\DeclareMathOperator|, for example
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\begin{verbatim}
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\DeclareMathOperator{\var}{var}
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\end{verbatim}
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and then use this new command. If you want limits that go above and
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below the operator (like \verb|\sum|) use the starred versions
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(\verb|\operatorname*| or \verb|\DeclareMathOperator*|).
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\begin{table*}[htbp]
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\floatconts
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{tab:operatornames}%
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{\caption{Predefined Operator Names (taken from
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\textsf{amsmath} documentation)}}%
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{%
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\begin{tabular}{rlrlrlrl}
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\cs{arccos} & $\arccos$ & \cs{deg} & $\deg$ & \cs{lg} & $\lg$ & \cs{projlim} & $\projlim$ \\
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\cs{arcsin} & $\arcsin$ & \cs{det} & $\det$ & \cs{lim} & $\lim$ & \cs{sec} & $\sec$ \\
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\cs{arctan} & $\arctan$ & \cs{dim} & $\dim$ & \cs{liminf} & $\liminf$ & \cs{sin} & $\sin$ \\
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\cs{arg} & $\arg$ & \cs{exp} & $\exp$ & \cs{limsup} & $\limsup$ & \cs{sinh} & $\sinh$ \\
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\cs{cos} & $\cos$ & \cs{gcd} & $\gcd$ & \cs{ln} & $\ln$ & \cs{sup} & $\sup$ \\
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\cs{cosh} & $\cosh$ & \cs{hom} & $\hom$ & \cs{log} & $\log$ & \cs{tan} & $\tan$ \\
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\cs{cot} & $\cot$ & \cs{inf} & $\inf$ & \cs{max} & $\max$ & \cs{tanh} & $\tanh$ \\
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\cs{coth} & $\coth$ & \cs{injlim} & $\injlim$ & \cs{min} & $\min$ \\
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\cs{csc} & $\csc$ & \cs{ker} & $\ker$ & \cs{Pr} & $\Pr$
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\end{tabular}\par
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\begin{tabular}{rlrl}
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\cs{varlimsup} & $\varlimsup$
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& \cs{varinjlim} & $\varinjlim$\\
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\cs{varliminf} & $\varliminf$
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& \cs{varprojlim} & $\varprojlim$
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\end{tabular}
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}
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\end{table*}
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\section{Vectors and Sets}
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\label{sec:vec}
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Vectors should be typeset using \cs{vec}. For example $\vec{x}$.
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(The original version of \cs{vec} can also be accessed using
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\cs{orgvec}, for example $\orgvec{x}$.)
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The \textsf{jmlr} class also provides \cs{set} to typeset a
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set. For example $\set{S}$.
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\section{Floats}
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\label{sec:floats}
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Floats, such as figures, tables and algorithms, are moving
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objects and are supposed to float to the nearest convenient
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location. Please don't force them to go in a particular place. In
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general it's best to use the \texttt{htbp} specifier and don't
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put the figure or table in the middle of a paragraph (that is
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make sure there's a paragraph break above and below the float).
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Floats are supposed to have a little extra space above and below
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them to make them stand out from the rest of the text. This extra
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spacing is put in automatically and shouldn't need modifying.
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If your article will later be reprinted in the Challenges for
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Machine Learning, please be aware that the CiML books use a
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different paper size, so if you want to resize any images use a
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scale relative to the line width (\verb|\linewidth|), text width
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(\verb|\textwidth|) or text height (\verb|\textheight|).
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To ensure consistency, please \emph{don't} try changing the format of the caption by doing
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something like:
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\begin{verbatim}
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\caption{\textit{A Sample Caption.}}
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\end{verbatim}
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or
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\begin{verbatim}
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\caption{\em A Sample Caption.}
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\end{verbatim}
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You can, of course, change the font for individual words or
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phrases, for example:
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\begin{verbatim}
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\caption{A Sample Caption With Some \emph{Emphasized Words}.}
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\end{verbatim}
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\subsection{Tables}
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\label{sec:tables}
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Tables should go in the \texttt{table} environment. Within this
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environment use \verb|\floatconts| (defined by \textsf{jmlr})
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to set the caption correctly and center the table contents.
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The location of the caption depends on the \verb|tablecaption|
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setting in the document class options.
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\begin{table}[htbp]
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% The first argument is the label.
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% The caption goes in the second argument, and the table contents
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% go in the third argument.
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\floatconts
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{tab:example}%
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{\caption{An Example Table}}%
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{\begin{tabular}{ll}
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\bfseries Dataset & \bfseries Result\\
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Data1 & 0.12345\\
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Data2 & 0.67890\\
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Data3 & 0.54321\\
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Data4 & 0.09876
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\end{tabular}}
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\end{table}
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If you want horizontal rules you can use the \textsf{booktabs}
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package which provides the commands \verb|\toprule|,
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\verb|\midrule| and \verb|\bottomrule|. For example, see
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\tableref{tab:example-booktabs}.
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\begin{table}[hbtp]
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\floatconts
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{tab:example-booktabs}
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{\caption{A Table With Horizontal Lines}}
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{\begin{tabular}{ll}
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\toprule
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\bfseries Dataset & \bfseries Result\\
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\midrule
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Data1 & 0.12345\\
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Data2 & 0.67890\\
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Data3 & 0.54321\\
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Data4 & 0.09876\\
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\bottomrule
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\end{tabular}}
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\end{table}
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If you really want vertical lines as well, you can't use the
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\textsf{booktabs} commands as there'll be some unwanted gaps.
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Instead you can use \LaTeX's \verb|\hline|, but the rows may
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appear a bit cramped. You can add extra space above or below a
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row using \verb|\abovestrut| and \verb|\belowstrut|. For example,
|
|
see \tableref{tab:example-hline}. However, you might want to read
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the \textsf{booktabs} documentation regarding the use of vertical
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lines.
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\begin{table}[htbp]
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\floatconts
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{tab:example-hline}
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{\caption{A Table With Horizontal and Vertical Lines}}%
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{%
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\begin{tabular}{|l|l|}
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\hline
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\abovestrut{2.2ex}\bfseries Dataset & \bfseries Result\\\hline
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\abovestrut{2.2ex}Data1 & 0.12345\\
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Data2 & 0.67890\\
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Data3 & 0.54321\\
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\belowstrut{0.2ex}Data4 & 0.09876\\\hline
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\end{tabular}
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}
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\end{table}
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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}}.
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\begin{table}[htbp]
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\floatconts
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{tab:example-siunitx}
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{\caption{A Table With Numbers Aligned on the Decimal Point}}
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{\begin{tabular}{lS[tabformat=3.5]}
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\bfseries Dataset & {\bfseries Result}\\
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Data1 & 0.12345\\
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Data2 & 10.6789\\
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Data3 & 50.543\\
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Data4 & 200.09876
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\end{tabular}}
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\end{table}
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If the table is too wide, you can adjust the inter-column
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|
spacing by changing the value of \verb|\tabcolsep|. For
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|
example:
|
|
\begin{verbatim}
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|
\setlength{\tabcolsep}{3pt}
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\end{verbatim}
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|
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 can use the
|
|
\texttt{longtable} environment defined in the \textsf{longtable}
|
|
package (so use \verb|\usepackage{longtable}|).
|
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\subsection{Figures}
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\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|.\footnote{This is specific to the
|
|
\textsf{jmlr} class, not a general recommendation. The main file
|
|
that generates the proceedings or the CiML book is typically in a
|
|
different directory to the imported articles, so it modifies the
|
|
graphics path when it imports an article.} 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
|
|
\verb|\caption| to set the caption and you can 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}%
|
|
{\caption{The Gauss-Seidel Algorithm}}%
|
|
{%
|
|
\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}
|
|
|
|
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}
|
|
\floatconts
|
|
{alg:moore}%
|
|
{\caption{Moore's Shortest Path}}%
|
|
{%
|
|
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 in print mode.
|
|
|
|
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}
|
|
and automatically sets the bibliography style, so you don't need to
|
|
use \verb|\bibliographystyle|.
|
|
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}
|