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dfn.tex
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\newcommand{\ben}{\begin{enumerate*}}
\newcommand{\een}{\end{enumerate*}}
\newcommand{\beq}{\begin{equation}}
\newcommand{\eeq}{\end{equation}}
\newcommand{\bit}{\begin{itemize*}}
\newcommand{\eit}{\end{itemize*}}
%%%%defined to align image to top
\newcommand{\imagetop}[1]{\vtop{\null\hbox{#1}}}
% shorthands for naming conventions
%\newcommand{\question}[1]{{\emph{#1}}}
% \newcommand{\ksa}{K\_softAND}
% \newcommand{\myK}{k}
\newcommand{\reminder}[1]{{\color{red} *** #1 *** }}
\newcommand{\optional}[1]{#1}
\newcommand{\placeholder}[1]{\reminder{#1}}
\newcommand{\goal}[1]{ {\noindent {$\Rightarrow$} \em {#1} } }
\newcommand{\myindent}{\vspace{-0.5em} \noindent \phantom{aaaa}}
\newcommand{\parahead}[1]{\noindent{\bf #1}}
\newcommand{\hide}[1]{}
%\newcommand{\comment}[1]{ {\footnotesize {#1} } }
\newcommand{\updated}[1]{ {\bf \textcolor{red}{***I have made updates here. #1 ***}} }
%\newcommand{\todo}[1]{\begin{verbatim}#1\end{verbatim}}
\newcommand{\mkclean}{
\renewcommand{\reminder}{\hide}
\renewcommand{\updated}{\hide}
% \renewcommand{\todo}{\hide}
}
%{\theoremstyle{changebreak}
\newtheorem{problem}{Problem} %[chapter]
\newtheorem{defn}{Definition} %[chapter]
%}
\newtheorem{lemma}{Lemma} %[chapter]
\newtheorem{theorem}{Theorem} %[chapter]
%\newtheorem{proof}{Proof}
%\newtheorem{algo}{Algorithm}
\newtheorem{observation}{Observation} %[chapter]
\newtheorem{conjecture}{Conjecture} %[chapter]
\newtheorem{approach}{Approach} %[chapter]
\newtheorem{example}{Example} %[chapter]
% macro symbol definitions
%counter
\newcounter{saveenum}
%email
\newcommand{\email}[1]{\href{mailto:#1}{#1}}
%mocap
\newcommand{\xseq}{\mathcal{X}}
\newcommand{\yseq}{\mathcal{Y}}
\newcommand{\wseq}{\mathcal{W}}
\newcommand{\qseq}{\mathcal{Q}}
\newcommand{\zseq}{\mathcal{Z}}
\newcommand{\durq}{\mathrm{T_Q}}
\newcommand{\dura}{\ensuremath{\mathrm{T}}}
\newcommand{\durx}{\mathrm{T}}
\newcommand{\dims}{\ensuremath{m}} % dimensionality - m = 93 here
\newcommand{\nseq}{\ensuremath{n}} % number of sequences
\newcommand{\hidd}{\ensuremath{h}} % hidden dimension (number of hidden variables for each time tick)
\newcommand{\tgap}{\Delta t}
\newcommand{\window}{\ensuremath{w}} % the window size for the algorithm in
\newcommand{\ncomp}{\ensuremath{k}} % the number of independent components
% math symbols
%\newcommand{\myvec}[1]{{\mathbf #1}}
\newcommand{\myvec}[1]{{\vec{#1}}}
%\newcommand{\myvec}[1]{{\overrightarrow{#1}}}
\newcommand{\mycvec}[1]{{\vec{#1}}}
\newcommand{\mymat}[1]{{\mathbf #1}}
\newcommand{\mycmat}[1]{{\mathbf #1}}
\newcommand{\celsius}{\ensuremath{^\circ\mathrm{C}}}
% math operator
\newcommand{\expect}[1]{\mathbb{E}[#1]}
\newcommand{\expectprob}[2]{\mathbb{E}_{#1}[#2]}
\newcommand{\dnorm}[2]{\ensuremath{\mathcal{N}(#1, #2)}}
\newcommand{\expi}[2]{\ensuremath{#1e^{#2i}}}
\newcommand{\cnorm}[2]{\ensuremath{\mathcal{CN}(#1, #2)}}
\newcommand{\indep}[1]{\perp}
\newcommand{\conj}[1]{{\overline{#1}}}
\newcommand{\diag}{\mathop{\mathrm{diag}}}
\newcommand{\deu}[2]{\mathrm{D_{eu}}(#1,#2)}
% math operator
\DeclareMathOperator*{\argmax}{arg\,max}
% names for algorithms and methods
\newcommand{\rmse}{RMSE\xspace}
\newcommand{\dynammo}{DynaMMo\xspace}
\newcommand{\plif}{PLiF\xspace}
\newcommand{\clds}{CLDS\xspace}
\newcommand{\svd}{SVD\xspace}
\newcommand{\msvd}{MSVD\xspace}
\newcommand{\cas}{Cut-And-Stitch\xspace}
\newcommand{\caslds}{CAS-LDS\xspace}
\newcommand{\cashmm}{CAS-HMM\xspace}
%\newcommand{\plds}{ParaLiDS\xspace}
%\newcommand{\phmm}{ParaHiMM\xspace}
\newcommand{\bolero}{BoLeRO\xspace}
\newcommand{\lscore}{L-Score\xspace}
\newcommand{\cfit}{Complex-Fit\xspace}
\newcommand{\tcast}{ThermoCast\xspace} % thermal prediction model in chapter data center
\newcommand{\windmine}{{WindMine}\xspace}
\newcommand{\windmineplain}{{WindMine-plain}\xspace}
\newcommand{\windminepart}{{WindMine-part}\xspace}
\newcommand{\bl}{BLOG\xspace}
% data set name
\newcommand{\syn}{{\tt synthetic}\xspace}
\newcommand{\mocap}{{\tt MOCAP}\xspace}
\newcommand{\chlorine}{{\tt CHLORINE}\xspace}
\newcommand{\bgp}{{\tt BGP}\xspace}
\newcommand{\mocappos}{{\tt MOCAPPOS}\xspace}
\newcommand{\mocapamc}{{\tt MOCAPANG}\xspace}
\newcommand{\mmouse}{{\tt Three-Circles}\xspace} %a synthetic dataset for moving three circles, (micky mouse)
%dataset names for windmine
\newcommand{\temperature}{{\tt Temperature}\xspace}
\newcommand{\sunspot}{{\tt Sunspot}\xspace}
\newcommand{\ondemand}{{\tt Ondemand TV}\xspace}
\newcommand{\musicstore}{{\tt MusicStore}\xspace}
\newcommand{\auto}{{\tt Automobile}\xspace}
\newcommand{\web}{{\tt WebClick}\xspace}
\newcommand{\kk}{k} % count of injected frames
\newcommand{\kopt}{\kk_{opt}}
\newcommand{\LL}{\ensuremath{L_*()}} % elastic L-score
% symbol name for the Kalman filter
% symbol names
\newcommand{\outmat}{\emph{output matrix} \ensuremath{\mymat{C}}}
\newcommand{\trans}{\ensuremath{\mymat{A}}}
\newcommand{\eigd}{\ensuremath{\mymat{\Lambda}}}
\newcommand{\compen}{\ensuremath{\mymat{V}}}
\newcommand{\hmix}{\emph{harmonic mixing matrix} \ensuremath{\mymat{C}_h}}
\newcommand{\hmag}{\emph{harmonic magnitude matrix} \ensuremath{\mymat{C}_m}}
\newcommand{\fing}{\emph{fingerprints} \ensuremath{\mymat{F}}}
% definition for blog
%\DefineVerbatimEnvironment%
%{blog}{Verbatim}{numbers=none,xleftmargin=5mm,fontshape=n}
\newminted{blog}{}
\newmint{blog}{}
%\newcommand{blog}[1]{\verb{#1}}
\DeclareMathOperator{\abs}{abs}
% math operators
\newcommand{\mycdot}{\ensuremath{\cdot}}
\newcommand{\defeq}{\ensuremath{\triangleq}}
\newcommand{\verbinput}[1]{
\begin{minipage}[t]{0.94\textwidth}%line numbers are inside margin
\VerbatimInput[firstline=1]{#1}%filename.ext
\end{minipage}%
}
%% [[I added some more here - can be moved to dfn - SJR]]
\newcommand{\secref}[1]{Section~\ref{#1}}
\newcommand{\secrefs}[2]{Sections~\ref{#1} and~\ref{#2}}
\newcommand{\figref}[1]{Figure~\ref{#1}}
\newcommand{\sfigref}[1]{Figure~S\ref{#1}}
\newcommand{\tabref}[1]{Table~\ref{#1}}
\newcommand{\exref}[1]{Exercise~\ref{#1}}
\renewcommand{\eqref}[1]{Equation~(\ref{#1})}
\newcommand{\eqrefs}[2]{Equations~(\ref{#1}) and~(\ref{#2})}
\newcommand{\appref}[1]{Appendix~\ref{#1}}
\newcommand{\pgref}[1]{page~\pageref{#1}}
\newcommand{\pgrefs}[2]{pages~\pageref{#1} and~\pageref{#2}}
\newcommand{\elt}{{\,{\in}\,}} %%%cuts down on spacing
\newcommand{\eq}{{\,{=}\,}} %%%cuts down on spacing
\def\stimes{{\,\times\,}} %%%cuts down on spacing
\def\splus{{\,+\,}} %%%cuts down on spacing
\def\sminus{{\,-\,}} %%%cuts down on spacing
% % definition for blog
%\newcommand{\blogif}{def}