\documentclass{article}

\usepackage[a4paper,left=2cm,right=2cm,top=2.5cm,bottom=2cm]{geometry}
\usepackage{float}
\usepackage{amsmath}
\usepackage{hyperref}
\usepackage{amsfonts}
\usepackage{mleftright}
\usepackage{bm}
\usepackage{tikz}
\usepackage{subcaption}
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\usepackage{pgfplots}
\usepackage{pgfplotstable}
\pgfplotsset{compat=newest}
\usepackage{acro}
\usepackage{braket}
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\usepackage{lipsum}

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%
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% Custom commands
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\newcommand{\red}[1]{\textcolor{red}{#1}}
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\newcommand{\figheight}{6.5cm}

%
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% Acronyms
%
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\DeclareAcronym{qec}{
    short=QEC,
    long=quantum error correction
}

\addbibresource{src/proposal/MA.bib}

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% Content
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\title{Results: 2026-03-29}
\author{Andreas Tsouchlos}
\date{}

\begin{document}

\maketitle

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Whole vs Windowed decoding}
\label{sec:Whole vs Windowed decoding}

\begin{figure}[H]
    \centering

    \begin{subfigure}{0.5\textwidth}
        \begin{tikzpicture}
            \begin{axis}[
                    width=\figwidth,
                    height=\figheight,
                    ymode=log,
                    legend style={
                        cells={anchor=west},
                        cells={align=left},
                    },
                    enlargelimits=false,
                    ymin=1e-3, ymax=2.5e-1,
                    grid=both,
                    legend pos = south east,
                    xtick={0.001,0.0015,...,0.004},
                    xticklabel style={/pgf/number format/fixed},
                    xticklabel style={/pgf/number format/precision=4},
                    scaled x ticks=false,
                    xlabel={Physical error rate},
                    ylabel={Per-round-LER},
                ]
                \foreach \W/\col in {3/scol2,4/scol1,5/scol0} {
                    \edef\temp{\noexpand
                        \addplot+[
                            mark=o, line width=1pt, densely dashed, \col,
                        ]
                        table[
                            col sep=comma, x=physical_p,
                            y expr={1 - (1-\noexpand\thisrow{LER_whole})^(1/12)}
                        ]
                        {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=minimum_sum,+experiment=windowed_vs_whole_param_exploration,+system.F=1,+system.W=\W/2026-03-29_23-39-18/LERs.csv};
                    }
                    \temp

                    \addlegendentryexpanded{$W = \W$~whole}
                }

                \foreach \W/\col in {3/scol2,4/scol1,5/scol0} {
                    \edef\temp{\noexpand
                        \addplot+[mark=o, line width=1pt, \col]
                        table[
                            col sep=comma, x=physical_p,
                            y expr={1 - (1-\noexpand\thisrow{LER_sw})^(1/12)}
                        ]
                        {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=minimum_sum,+experiment=windowed_vs_whole_param_exploration,+system.F=1,+system.W=\W/2026-03-29_23-39-18/LERs.csv};
                    }
                    \temp

                    \addlegendentryexpanded{$W = \W$~windowed}
                }
            \end{axis}
        \end{tikzpicture}
        \caption{Min-Sum}
    \end{subfigure}%
    \begin{subfigure}{0.5\textwidth}
        \begin{tikzpicture}
            \begin{axis}[
                    width=\figwidth,
                    height=\figheight,
                    ymode=log,
                    legend style={
                        cells={anchor=west},
                        cells={align=left},
                    },
                    enlargelimits=false,
                    ymin=1e-3, ymax=2.5e-1,
                    grid=both,
                    legend pos = south east,
                    xtick={0.001,0.0015,...,0.004},
                    xticklabel style={/pgf/number format/fixed},
                    xticklabel style={/pgf/number format/precision=4},
                    scaled x ticks=false,
                    xlabel={Physical error rate},
                    ylabel={Per-round-LER},
                ]
                \foreach \W/\col in {3/scol2,4/scol1,5/scol0} {
                    \edef\temp{\noexpand
                        \addplot+[mark=o, line width=1pt, densely dashed, \col]
                        table[
                            col sep=comma, x=physical_p,
                            y expr={1 - (1-\noexpand\thisrow{LER_whole})^(1/12)}
                        ]
                        {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=product_sum,+experiment=windowed_vs_whole_param_exploration,+system.F=1,+system.W=\W/2026-03-29_23-39-18/LERs.csv};
                    }
                    \temp

                    \addlegendentryexpanded{$W = \W$~whole}
                }

                \foreach \W/\col in {3/scol2,4/scol1,5/scol0} {
                    \edef\temp{\noexpand
                        \addplot+[mark=o, line width=1pt, \col]
                        table[
                            col sep=comma, x=physical_p,
                            y expr={1 - (1-\noexpand\thisrow{LER_sw})^(1/12)}
                        ]
                        {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=product_sum,+experiment=windowed_vs_whole_param_exploration,+system.F=1,+system.W=\W/2026-03-29_23-39-18/LERs.csv};
                    }
                    \temp

                    \addlegendentryexpanded{$W = \W$~windowed}
                }
            \end{axis}
        \end{tikzpicture}
        \caption{SPA}
    \end{subfigure}

    \caption{BP simulations for the [[144,12,12]]-BB code with $F=1,
    n_\text{iter,BP}=32,n_\text{rounds}=12$}
\end{figure}

\begin{figure}[H]
    \centering

    \begin{subfigure}{0.5\textwidth}
        \begin{tikzpicture}
            \begin{axis}[
                    width=\figwidth,
                    height=\figheight,
                    ymode=log,
                    legend style={
                        cells={anchor=west},
                        cells={align=left},
                    },
                    enlargelimits=false,
                    ymin=1e-3, ymax=2.5e-1,
                    grid=both,
                    legend pos = south east,
                    xtick={0.001,0.0015,...,0.004},
                    xticklabel style={/pgf/number format/fixed},
                    xticklabel style={/pgf/number format/precision=4},
                    scaled x ticks=false,
                    xlabel={Physical error rate},
                    ylabel={Per-round-LER},
                ]
                \foreach \F/\col in {1/scol2,2/scol1,3/scol0} {
                    \edef\temp{\noexpand
                        \addplot+[mark=o, line width=1pt, densely dashed, \col]
                        table[
                            col sep=comma, x=physical_p,
                            y expr={1 - (1-\noexpand\thisrow{LER_whole})^(1/12)}
                        ]
                        {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=minimum_sum,+experiment=windowed_vs_whole_param_exploration,+system.F=\F,+system.W=5/2026-03-29_23-39-18/LERs.csv};
                    }
                    \temp

                    \addlegendentryexpanded{$F = \F$~whole}
                }

                \foreach \F/\col in {1/scol2,2/scol1,3/scol0} {
                    \edef\temp{\noexpand
                        \addplot+[mark=o, line width=1pt, \col]
                        table[
                            col sep=comma, x=physical_p,
                            y expr={1 - (1-\noexpand\thisrow{LER_sw})^(1/12)}
                        ]
                        {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=minimum_sum,+experiment=windowed_vs_whole_param_exploration,+system.F=\F,+system.W=5/2026-03-29_23-39-18/LERs.csv};
                    }
                    \temp

                    \addlegendentryexpanded{$F = \F$~windowed}
                }
            \end{axis}
        \end{tikzpicture}
        \caption{Min-Sum}
    \end{subfigure}%
    \begin{subfigure}{0.5\textwidth}
        \begin{tikzpicture}
            \begin{axis}[
                    width=\figwidth,
                    height=\figheight,
                    ymode=log,
                    legend style={
                        cells={anchor=west},
                        cells={align=left},
                    },
                    enlargelimits=false,
                    ymin=1e-3, ymax=2.5e-1,
                    grid=both,
                    legend pos = south east,
                    xtick={0.001,0.0015,...,0.004},
                    xticklabel style={/pgf/number format/fixed},
                    xticklabel style={/pgf/number format/precision=4},
                    scaled x ticks=false,
                    xlabel={Physical error rate},
                    ylabel={Per-round-LER},
                ]
                \foreach \F/\col in {1/scol2,2/scol1,3/scol0} {
                    \edef\temp{\noexpand
                        \addplot+[mark=o, line width=1pt, densely dashed, \col]
                        table[
                            col sep=comma, x=physical_p,
                            y expr={1 - (1-\noexpand\thisrow{LER_whole})^(1/12)}
                        ]
                        {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=product_sum,+experiment=windowed_vs_whole_param_exploration,+system.F=\F,+system.W=5/2026-03-29_23-39-18/LERs.csv};
                    }
                    \temp

                    \addlegendentryexpanded{$F = \F$~whole}
                }

                \foreach \F/\col in {1/scol2,2/scol1,3/scol0} {
                    \edef\temp{\noexpand
                        \addplot+[mark=o, line width=1pt, \col]
                        table[
                            col sep=comma, x=physical_p,
                            y expr={1 - (1-\noexpand\thisrow{LER_sw})^(1/12)}
                        ]
                        {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=product_sum,+experiment=windowed_vs_whole_param_exploration,+system.F=\F,+system.W=5/2026-03-29_23-39-18/LERs.csv};
                    }
                    \temp

                    \addlegendentryexpanded{$F = \F$~windowed}
                }
            \end{axis}
        \end{tikzpicture}
        \caption{SPA}
    \end{subfigure}

    \caption{BP simulations for the [[144,12,12]]-BB code with $W=5,
    n_\text{iter,BP}=32,n_\text{rounds}=12$}
\end{figure}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Soft- vs Hard- Information Decoding}
\label{sec:Soft- vs Hard- Information Decoding}

\begin{figure}[H]
    \centering

    \begin{subfigure}{0.5\textwidth}
        \begin{tikzpicture}
            \begin{axis}[
                    width=\figwidth,
                    height=\figheight,
                    ymode=log,
                    legend style={
                        cells={anchor=west},
                        cells={align=left},
                    },
                    enlargelimits=false,
                    ymin=8e-4, ymax=2.5e-1,
                    grid=both,
                    legend pos = south east,
                    xtick={0.001,0.0015,...,0.004},
                    xticklabel style={/pgf/number format/fixed},
                    xticklabel style={/pgf/number format/precision=4},
                    scaled x ticks=false,
                    xlabel={Physical error rate},
                    ylabel={Per-round-LER},
                ]
                \foreach \W/\col in {3/scol2,4/scol1,5/scol0} {
                    \edef\temp{\noexpand
                        \addplot+[mark=o, line width=1pt, densely dashed, \col]
                        table[
                            col sep=comma, x=physical_p,
                            y expr={1 - (1-\noexpand\thisrow{LER_hard})^(1/12)}
                        ]
                        {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=minimum_sum,+experiment=soft_vs_hard_param_exploration,+system.F=1,+system.W=\W/2026-03-30_00-06-26/LERs.csv};
                    }
                    \temp

                    \addlegendentryexpanded{$W = \W$~hard}
                }

                \foreach \W/\col in {3/scol2,4/scol1,5/scol0} {
                    \edef\temp{\noexpand
                        \addplot+[mark=*, line width=1pt, \col]
                        table[
                            col sep=comma, x=physical_p,
                            y expr={1 - (1-\noexpand\thisrow{LER_soft})^(1/12)}
                        ]
                        {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=minimum_sum,+experiment=soft_vs_hard_param_exploration,+system.F=1,+system.W=\W/2026-03-30_00-06-26/LERs.csv};
                    }
                    \temp

                    \addlegendentryexpanded{$W = \W$~soft}
                }
            \end{axis}
        \end{tikzpicture}
        \caption{Min-Sum}
    \end{subfigure}%
    \begin{subfigure}{0.5\textwidth}
        \begin{tikzpicture}
            \begin{axis}[
                    width=\figwidth,
                    height=\figheight,
                    ymode=log,
                    legend style={
                        cells={anchor=west},
                        cells={align=left},
                    },
                    enlargelimits=false,
                    ymin=8e-4, ymax=2.5e-1,
                    grid=both,
                    legend pos = south east,
                    xtick={0.001,0.0015,...,0.004},
                    xticklabel style={/pgf/number format/fixed},
                    xticklabel style={/pgf/number format/precision=4},
                    scaled x ticks=false,
                    xlabel={Physical error rate},
                    ylabel={Per-round-LER},
                ]
                \foreach \W/\col in {3/scol2,4/scol1,5/scol0} {
                    \edef\temp{\noexpand
                        \addplot+[mark=o, line width=1pt, densely dashed, \col]
                        table[
                            col sep=comma, x=physical_p,
                            y expr={1 - (1-\noexpand\thisrow{LER_hard})^(1/12)}
                        ]
                        {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=product_sum,+experiment=soft_vs_hard_param_exploration,+system.F=1,+system.W=\W/2026-03-30_00-06-26/LERs.csv};
                    }
                    \temp

                    \addlegendentryexpanded{$W = \W$~hard}
                }

                \foreach \W/\col in {3/scol2,4/scol1,5/scol0} {
                    \edef\temp{\noexpand
                        \addplot+[mark=*, line width=1pt, \col]
                        table[
                            col sep=comma, x=physical_p,
                            y expr={1 - (1-\noexpand\thisrow{LER_soft})^(1/12)}
                        ]
                        {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=product_sum,+experiment=soft_vs_hard_param_exploration,+system.F=1,+system.W=\W/2026-03-30_00-06-26/LERs.csv};
                    }
                    \temp

                    \addlegendentryexpanded{$W = \W$~soft}
                }
            \end{axis}
        \end{tikzpicture}
        \caption{SPA}
    \end{subfigure}

    \caption{BP simulations for the [[144,12,12]]-BB code with $F=1,
    n_\text{iter,BP}=32,n_\text{rounds}=12$}
\end{figure}

\begin{figure}[H]
    \centering

    \begin{subfigure}{0.5\textwidth}
        \begin{tikzpicture}
            \begin{axis}[
                    width=\figwidth,
                    height=\figheight,
                    ymode=log,
                    legend style={
                        cells={anchor=west},
                        cells={align=left},
                    },
                    enlargelimits=false,
                    ymin=8e-4, ymax=2.5e-1,
                    grid=both,
                    legend pos = south east,
                    xtick={0.001,0.0015,...,0.004},
                    xticklabel style={/pgf/number format/fixed},
                    xticklabel style={/pgf/number format/precision=4},
                    scaled x ticks=false,
                    xlabel={Physical error rate},
                    ylabel={Per-round-LER},
                ]
                \foreach \F/\col in {1/scol2,2/scol1,3/scol0} {
                    \edef\temp{\noexpand
                        \addplot+[mark=o, line width=1pt, densely dashed, \col]
                        table[
                            col sep=comma, x=physical_p,
                            y expr={1 - (1-\noexpand\thisrow{LER_hard})^(1/12)}
                        ]
                        {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=minimum_sum,+experiment=soft_vs_hard_param_exploration,+system.F=\F,+system.W=5/2026-03-30_00-06-26/LERs.csv};
                    }
                    \temp

                    \addlegendentryexpanded{$F = \F$~hard}
                }

                \foreach \F/\col in {1/scol2,2/scol1,3/scol0} {
                    \edef\temp{\noexpand
                        \addplot+[mark=*, line width=1pt, \col]
                        table[
                            col sep=comma, x=physical_p,
                            y expr={1 - (1-\noexpand\thisrow{LER_soft})^(1/12)}
                        ]
                        {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=minimum_sum,+experiment=soft_vs_hard_param_exploration,+system.F=\F,+system.W=5/2026-03-30_00-06-26/LERs.csv};
                    }
                    \temp

                    \addlegendentryexpanded{$F = \F$~soft}
                }
            \end{axis}
        \end{tikzpicture}
        \caption{Min-Sum}
    \end{subfigure}%
    \begin{subfigure}{0.5\textwidth}
        \begin{tikzpicture}
            \begin{axis}[
                    width=\figwidth,
                    height=\figheight,
                    ymode=log,
                    legend style={
                        cells={anchor=west},
                        cells={align=left},
                    },
                    enlargelimits=false,
                    ymin=8e-4, ymax=2.5e-1,
                    grid=both,
                    legend pos = south east,
                    xtick={0.001,0.0015,...,0.004},
                    xticklabel style={/pgf/number format/fixed},
                    xticklabel style={/pgf/number format/precision=4},
                    scaled x ticks=false,
                    xlabel={Physical error rate},
                    ylabel={Per-round-LER},
                ]
                \foreach \F/\col in {1/scol2,2/scol1,3/scol0} {
                    \edef\temp{\noexpand
                        \addplot+[mark=o, line width=1pt, densely dashed, \col]
                        table[
                            col sep=comma, x=physical_p,
                            y expr={1 - (1-\noexpand\thisrow{LER_hard})^(1/12)}
                        ]
                        {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=product_sum,+experiment=soft_vs_hard_param_exploration,+system.F=\F,+system.W=5/2026-03-30_00-06-26/LERs.csv};
                    }
                    \temp

                    \addlegendentryexpanded{$F = \F$~hard}
                }

                \foreach \F/\col in {1/scol2,2/scol1,3/scol0} {
                    \edef\temp{\noexpand
                        \addplot+[mark=*, line width=1pt, \col]
                        table[
                            col sep=comma, x=physical_p,
                            y expr={1 - (1-\noexpand\thisrow{LER_soft})^(1/12)}
                        ]
                        {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=product_sum,+experiment=soft_vs_hard_param_exploration,+system.F=\F,+system.W=5/2026-03-30_00-06-26/LERs.csv};
                    }
                    \temp

                    \addlegendentryexpanded{$F = \F$~soft}
                }
            \end{axis}
        \end{tikzpicture}
        \caption{SPA}
    \end{subfigure}

    \caption{BP simulations for the [[144,12,12]]-BB code with $W=5,
    n_\text{iter,BP}=32,n_\text{rounds}=12$}
\end{figure}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Soft-Information Decoding: Best Performance}
\label{sec:Soft-Information Decoding: Best Performance}

\begin{figure}[H]
    \centering

    \begin{subfigure}{0.5\textwidth}
        \begin{tikzpicture}
            \begin{axis}[
                    width=\figwidth,
                    height=\figheight,
                    ymode=log,
                    legend style={
                        cells={anchor=west},
                        cells={align=left},
                    },
                    enlargelimits=false,
                    ymin=8e-4, ymax=2.5e-1,
                    grid=both,
                    legend pos = south east,
                    xtick={0.001,0.0015,...,0.004},
                    xticklabel style={/pgf/number format/fixed},
                    xticklabel style={/pgf/number format/precision=4},
                    scaled x ticks=false,
                    xlabel={Physical error rate},
                    ylabel={Per-round-LER},
                ]
                \addplot+[mark=o, line width=1pt, densely dashed, scol0]
                table[
                    col sep=comma, x=physical_p,
                    y expr={1 - (1-\thisrow{LER_hard})^(1/12)}
                ]
                {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=minimum_sum,+experiment=soft_vs_hard_param_exploration,+system.F=1,+system.W=5/2026-03-30_00-06-26/LERs.csv};

                \addlegendentryexpanded{Windowed, hard}

                \addplot+[mark=*, line width=1pt, scol0]
                table[
                    col sep=comma, x=physical_p,
                    y expr={1 - (1-\thisrow{LER_soft})^(1/12)}
                ]
                {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=minimum_sum,+experiment=soft_vs_hard_param_exploration,+system.F=1,+system.W=5/2026-03-30_00-06-26/LERs.csv};

                \addlegendentryexpanded{Windowed, soft}

                \addplot+[mark=o, line width=1pt, densely dashed, scol1]
                table[
                    col sep=comma, x=physical_p,
                    y expr={1 - (1-\thisrow{LER_whole})^(1/12)}
                ]
                {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=minimum_sum,+experiment=windowed_vs_whole_param_exploration,+system.F=1,+system.W=5/2026-03-29_23-39-18/LERs.csv};

                \addlegendentryexpanded{Whole window}
            \end{axis}
        \end{tikzpicture}
        \caption{Min-Sum}
    \end{subfigure}%
    \begin{subfigure}{0.5\textwidth}
        \begin{tikzpicture}
            \begin{axis}[
                    width=\figwidth,
                    height=\figheight,
                    ymode=log,
                    legend style={
                        cells={anchor=west},
                        cells={align=left},
                    },
                    enlargelimits=false,
                    ymin=8e-4, ymax=2.5e-1,
                    grid=both,
                    legend pos = south east,
                    xtick={0.001,0.0015,...,0.004},
                    xticklabel style={/pgf/number format/fixed},
                    xticklabel style={/pgf/number format/precision=4},
                    scaled x ticks=false,
                    xlabel={Physical error rate},
                    ylabel={Per-round-LER},
                ]
                \addplot+[mark=o, line width=1pt, densely dashed, scol0]
                table[
                    col sep=comma, x=physical_p,
                    y expr={1 - (1-\thisrow{LER_hard})^(1/12)}
                ]
                {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=product_sum,+experiment=soft_vs_hard_param_exploration,+system.F=1,+system.W=5/2026-03-30_00-06-26/LERs.csv};

                \addlegendentryexpanded{Windowed, hard}

                \addplot+[mark=*, line width=1pt, scol0]
                table[
                    col sep=comma, x=physical_p,
                    y expr={1 - (1-\thisrow{LER_soft})^(1/12)}
                ]
                {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=product_sum,+experiment=soft_vs_hard_param_exploration,+system.F=1,+system.W=5/2026-03-30_00-06-26/LERs.csv};

                \addlegendentryexpanded{Windowed, soft}

                \addplot+[mark=o, line width=1pt, densely dashed, scol1]
                table[
                    col sep=comma, x=physical_p,
                    y expr={1 - (1-\thisrow{LER_whole})^(1/12)}
                ]
                {/home/andreas/workspace/private/ma-sw-results/outputs/+decoder.bp_method=product_sum,+experiment=windowed_vs_whole_param_exploration,+system.F=1,+system.W=5/2026-03-29_23-39-18/LERs.csv};

                \addlegendentryexpanded{Whole window}
            \end{axis}
        \end{tikzpicture}
        \caption{SPA}
    \end{subfigure}

    \caption{BP simulations for the [[144,12,12]]-BB code,
    $W=5, F=1, n_\text{iter,BP} = 32$}
\end{figure}

\end{document}

