Automatically adjust table’s column width

lyxtables

I am a beginner in Latex. I use Lyx to create tables and then I export the pdflatex script which I can simply paste in Overleaf. I am trying to create a table as follows.

enter image description here

As you can see the column width for column 4,5 and 8 is unnecessarily wide which takes my table almost to the edge of the page. I used nested table so that the column width decreases, but it seems it does nothing.

Here, is the pdflatex exported from Lyx.

%% LyX 2.3.6.1 created this file.  For more info, see http://www.lyx.org/.
%% Do not edit unless you really know what you are doing.
\documentclass[english]{article}
\usepackage[T1]{fontenc}
\usepackage[latin9]{inputenc}
\usepackage{array}

\makeatletter

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% LyX specific LaTeX commands.
%% Because html converters don't know tabularnewline
\providecommand{\tabularnewline}{\\}

\makeatother

\usepackage{babel}
\begin{document}

\begin{table}

\caption{Problem 1: Summary of parameters and relative $L^{2}$ error for different
PINN frameworks\label{tab:Problem-1:-Summary}}

\begin{centering}
\begin{tabular}{|c|c|c|c|c|c|c|c|}
\hline 
 & Layers & Nodes & %
\begin{tabular}{c}
Boundary\tabularnewline
points\tabularnewline
\end{tabular} & %
\begin{tabular}{c}
Collocation\tabularnewline
points\tabularnewline
\end{tabular} & $\alpha$ & Iterations & %
\begin{tabular}{c}
Relative $L^{2}$\tabularnewline
error\tabularnewline
\end{tabular}\tabularnewline
\hline 
Model 1 & 8 & 20 & 612 & 5800 & 1e-3 & 30k & 0.13599\tabularnewline
\hline 
Model 2 & 8 & 20 & 800 & 2500 & 1e-3 & 30k & NA\tabularnewline
\hline 
Model 3 & 6 & 512 & 4000 & 4000 & 1e-3 & 20k & 0.08931\tabularnewline
\hline 
Model 4 & 6 & 512 & 4000 & 4000 & 1e-3 & 10k & 0.10124\tabularnewline
\hline 
Model 5 & 6 & 512 & 4000 & 4000 & 1e-3 & 10k & 0.09557\tabularnewline
\hline 
Model 6 & 6 & 512 & 4000 & 4000 & 1e-3 & 20k & 0.06448\tabularnewline
\hline 
Model 7 & 6 & 512 & 4000 & 4000 & 1e-3 & 20k & 0.06433\tabularnewline
\hline 
Model 8 & 6 & 512 & 4000 & 4000 & 1e-3 & 20k & 0.18741\tabularnewline
\hline 
Model 9 & 6 & 512 & 4000 & 4000 & 2e-5 & 11k & 0.12640\tabularnewline
\hline 
Model 10 & 6 & 512 & 4000 & 4000 & 1e-3 & 20k & 0.17577\tabularnewline
\hline 
Model 11 & 6 & 512 & 4000 & 4000 & 1e-3 & 30k & 0.08229\tabularnewline
\hline 
\end{tabular}
\par\end{centering}
\begin{raggedright}
{*} From Model 3 to Model 11, the boundary points and collocation
points are given for per batch.
\par\end{raggedright}
\end{table}
\end{document}

I know I can manually set the column width in centimeters or inches. Isn't there an automated way to set the column width? I have multiple tables and I don't want to tinker them manually.

EDIT 1:
Here are the options in Lyx.
enter image description here

Best Answer

The problem is due to the preamble of the nested tabulars (for the column heads). You can replace each {c} with {@{]c@{}}, or simpler, use the makecell package and its eponymous command. Furthermore, the table is too wide for the default text width, so I suggest loading geometry. Also, I loaded caption to have a more sensible spacing between the caption and the table.

        \documentclass[english]{article}
        \usepackage[T1]{fontenc}
        \usepackage[latin9]{inputenc}
        \usepackage[showframe]{geometry}
        \usepackage{array, caption}
        \usepackage{makecell}
        \makeatletter

        %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% LyX specific LaTeX commands.
        %% Because html converters don't know tabularnewline
        \providecommand{\tabularnewline}{\\}

        \makeatother
        \usepackage{babel}

        \begin{document}

        \begin{table}

        \caption{Problem 1: Summary of parameters and relative $L^{2}$ error for different
        PINN frameworks\label{tab:Problem-1:-Summary}}


        \centering
        \begin{tabular}{|c|c|c|c|c|c|c|c|}
        \hline
         & Layers & Nodes & %
        \begin{tabular}{@{}c@{}}
        Boundary\tabularnewline
        points\tabularnewline
        \end{tabular} & %
        \begin{tabular}{@{}c@{}}
        Collocation\tabularnewline
        points\tabularnewline
        \end{tabular} & $\alpha$ & Iterations & %
        \begin{tabular}{@{}c@{}}
        Relative $L^{2}$\tabularnewline
        error\tabularnewline
        \end{tabular}\tabularnewline
        \hline
        Model 1 & 8 & 20 & 612 & 5800 & 1e-3 & 30k & 0.13599\tabularnewline
        \hline
        Model 2 & 8 & 20 & 800 & 2500 & 1e-3 & 30k & NA\tabularnewline
        \hline
        Model 3 & 6 & 512 & 4000 & 4000 & 1e-3 & 20k & 0.08931\tabularnewline
        \hline
        Model 4 & 6 & 512 & 4000 & 4000 & 1e-3 & 10k & 0.10124\tabularnewline
        \hline
        Model 5 & 6 & 512 & 4000 & 4000 & 1e-3 & 10k & 0.09557\tabularnewline
        \hline
        Model 6 & 6 & 512 & 4000 & 4000 & 1e-3 & 20k & 0.06448\tabularnewline
        \hline
        Model 7 & 6 & 512 & 4000 & 4000 & 1e-3 & 20k & 0.06433\tabularnewline
        \hline
        Model 8 & 6 & 512 & 4000 & 4000 & 1e-3 & 20k & 0.18741\tabularnewline
        \hline
        Model 9 & 6 & 512 & 4000 & 4000 & 2e-5 & 11k & 0.12640\tabularnewline
        \hline
        Model 10 & 6 & 512 & 4000 & 4000 & 1e-3 & 20k & 0.17577\tabularnewline
        \hline
        Model 11 & 6 & 512 & 4000 & 4000 & 1e-3 & 30k & 0.08229\tabularnewline
        \hline
        \end{tabular}
        \vskip 3ex
        \begin{tabular}{|c|c|c|c|c|c|c|c|}
        \hline
         & Layers & Nodes & %
        \begin{tabular}{@{}c@{}}
        Boundary\tabularnewline
        points\tabularnewline
        \end{tabular} & %
        \begin{tabular}{@{}c@{}}
        Collocation\tabularnewline
        points\tabularnewline
        \end{tabular} & $\alpha$ & Iterations & %
        \begin{tabular}{@{}c@{}}
        Relative $L^{2}$\tabularnewline
        error\tabularnewline
        \end{tabular}\tabularnewline
        \hline
        Model 1 & 8 & 20 & 612 & 5800 & 1e-3 & 30k & 0.13599\tabularnewline
        \hline
        Model 2 & 8 & 20 & 800 & 2500 & 1e-3 & 30k & NA\tabularnewline
        \hline
        Model 3 & 6 & 512 & 4000 & 4000 & 1e-3 & 20k & 0.08931\tabularnewline
        \hline
        Model 4 & 6 & 512 & 4000 & 4000 & 1e-3 & 10k & 0.10124\tabularnewline
        \hline
        Model 5 & 6 & 512 & 4000 & 4000 & 1e-3 & 10k & 0.09557\tabularnewline
        \hline
        Model 6 & 6 & 512 & 4000 & 4000 & 1e-3 & 20k & 0.06448\tabularnewline
        \hline
        Model 7 & 6 & 512 & 4000 & 4000 & 1e-3 & 20k & 0.06433\tabularnewline
        \hline
        Model 8 & 6 & 512 & 4000 & 4000 & 1e-3 & 20k & 0.18741\tabularnewline
        \hline
        Model 9 & 6 & 512 & 4000 & 4000 & 2e-5 & 11k & 0.12640\tabularnewline
        \hline
        Model 10 & 6 & 512 & 4000 & 4000 & 1e-3 & 20k & 0.17577\tabularnewline
        \hline
        Model 11 & 6 & 512 & 4000 & 4000 & 1e-3 & 30k & 0.08229\tabularnewline
        \hline
        \end{tabular}
        \end{table}

        \end{document} 

enter image description here