1 Mozilla/5.0 (Macintosh; Intel Mac OS X 10_14_6) AppleWebKit/605.1.15 (KHTML, like Gecko) Version/12.1.2 Safari/605.1.15 /rde/contents/library/ps2img/cgi-bin/eqn2gif.cgi 157.118.206.41 1598161098 2020/08/23 14:38:18 \usepackage{algorithm} \usepackage{algorithmic} \usepackage{enumerate} \newcommand{\bcirc}{\mcode{bcirc}} \newcommand{\unfold}{\mcode{unfold}} \newcommand{\fold}{\mcode{fold}} \renewcommand{\refname}{\mc \textbf{References}} \renewcommand{\figurename}{Figure} \newcommand{\bdiag}{\mcode{bdiag}} \newcommand{\Diag}{\mcode{Diag}} \newcommand{\A}{\bm{\mathcal{A}}} \newcommand{\B}{\bm{\mathcal{B}}} \newcommand{\C}{\bm{\mathcal{C}}} \newcommand{\U}{\bm{\mathcal{U}}} \newcommand{\LL}{\bm{\mathcal{L}}} \newcommand{\E}{\bm{\mathcal{E}}} \newcommand{\X}{\bm{\mathcal{X}}} \newcommand{\SSS}{\bm{\mathcal{S}}} \renewcommand{\SS}{\bm{\mathcal{S}}} \newcommand{\V}{\bm{\mathcal{V}}} \newcommand{\Y}{\bm{\mathcal{Y}}} \newcommand{\0}{\ensuremath{\mathbf{0}}} \newcommand{\Em}{\bm{E}} \newcommand{\Lm}{\bm{L}} \newcommand{\Xm}{\bm{X}} \renewcommand{\Rn}{\mathbb{R}^{n_1\times n_2\times n_3}} \newcommand{\Am}{\bm{{A}}} \newcommand{\norm}[1]{\lVert#1\rVert} \newcommand{\normlarge}[1]{\left\lVert#1\right\rVert} \newcommand{\Abar}{\bm{\mathcal{\bar{A}}}} \newcommand{\Bbar}{\bm{\mathcal{\bar{B}}}} \newcommand{\Cbar}{\bm{\mathcal{\bar{C}}}} \newcommand{\Ambar}{\bm{\bar{A}}} \newcommand{\Bmbar}{\bm{\bar{{B}}}} \newcommand{\Cmbar}{\bm{\bar{C}}} \newcommand{\st}{{\text{s.t.}}} \newcommand{\minimize}{minimize} \newcommand{\maximize}{maximize} \newcommand{\fft}{\mcode{fft}} \newcommand{\ifft}{\mcode{ifft}} \newcommand{\argmin}{\mathop{\rm argmin}\limits} \newcommand{\e}{{\text{e}}} \begin{algorithm}[t!] \caption{Solve (8) by ADMM} \textbf{Input:} tensor data $\X$, parameter $\lambda$.\\ \textbf{Initialize:} $\LL_0=\E_0=\Y_0={0}$, $\rho=1.1$,\\ $\mu_0=1\e{-3}$, $\mu_{\max}=1\e{10}$, $\epsilon=1\e{-8}$. \\ \textbf{while} not converged \textbf{do} \begin{enumerate}[1.] \item Update $\LL_{k+1}$ by \begin{equation*} \LL_{k+1} = \argmin_{\LL} \ \norm{\LL}_{s}+\frac{\mu_k}{2}\normlarge{\LL+\E_{k}-\X+\frac{\Y_{k}}{\mu_k}}_F^2; \end{equation*} \item Update $\E_{k+1}$ by \begin{equation*} \E_{k+1} = \argmin_{\E} \ \lambda\norm{\E}_1+\frac{\mu_k}{2}\normlarge{\LL_{k+1}+\E-\X+\frac{\Y_{k}}{\mu_k}}_F^2; \end{equation*} \item $\Y_{k+1}=\Y_{k}+\mu_k(\LL_{k+1}+\E_{k+1}-\X)$; \item Update $\mu_{k+1}$ by $\mu_{k+1}=\min(\rho\mu_k,\mu_{\max})$; \item Check the convergence conditions \begin{align*} & \norm{\LL_{k+1}-\LL_{k}}_\infty\leq\epsilon, \ \norm{\E_{k+1}-\E_{k}}_\infty\leq\epsilon, \\ & \norm{\LL_{k+1}+\E_{k+1}-\X}_\infty\leq\epsilon. \end{align*} \end{enumerate} \textbf{end while} \label{alg1} \end{algorithm} 3 [画像は表示できません] 変換 エラーがありました 使用できないTeXコマンドがありました \usepackage \usepackage \usepackage \newcommand \bcirc \mcode \newcommand \unfold \mcode \newcommand \fold \mcode \renewcommand \refname \mc \textbf \renewcommand \figurename \newcommand \bdiag \mcode \newcommand \Diag \mcode \newcommand \A \bm \mathcal \newcommand \B \bm \mathcal \newcommand \C \bm \mathcal \newcommand \U \bm \mathcal \newcommand \LL \bm \mathcal \newcommand \E \bm \mathcal \newcommand \X \bm \mathcal \newcommand \SSS \bm \mathcal \renewcommand \SS \bm \mathcal \newcommand \V \bm \mathcal \newcommand \Y \bm \mathcal \newcommand \ensuremath \mathbf \newcommand \Em \bm \newcommand \Lm \bm \newcommand \Xm \bm \renewcommand \Rn \mathbb \newcommand \Am \bm \newcommand \norm \lVert \rVert \newcommand \normlarge \lVert \rVert \newcommand \Abar \bm \mathcal \newcommand \Bbar \bm \mathcal \newcommand \Cbar \bm \mathcal \newcommand \Ambar \bm \newcommand \Bmbar \bm \newcommand \Cmbar \bm \newcommand \st \text \newcommand \minimize \newcommand \maximize \newcommand \fft \mcode \newcommand \ifft \mcode \newcommand \argmin \mathop \limits \newcommand \e \text \begin{algorithm} \caption \textbf \X \textbf \LL \E \Y \e \e \e \textbf \textbf \begin{enumerate} \item \LL \begin{s} \normlarge \LL \E \X \Y \end{k} \end{k} \LL \E \X \item \item \begin{k} \infty \norm \E \E \infty \norm \LL \E \X \infty \end{enumerate} \textbf \label \end{algorithm} ! Undefined control sequence. l.39 {\0 }{{{0}}}% ? ! Emergency stop. l.39 {\0 }{{{0}}}% 20200823_143552 http://www.mech.tohoku-gakuin.ac.jp/rde/contents/library/ps2img/eqn2gif_online.html Sun Aug 23 14:38:18 2020