Boxplot multiline labels with latex interpreter

I am trying to plot a boxplot for data with two different lines for each label that are strings constructed from values of a matrix.

tol_r_f=[0 .2;0 .04;0 .03;.1 1];
tol_v_f=[.3 1;.09 .2;0 .07;1 10];

range={{[num2str(tol_r_f(1,1)) '$\leq ||\boldmath{r}_f|| \leq$' num2str(tol_r_f(1,2))];...
    [num2str(tol_v_f(1,1)) '$\leq ||\boldmath{v}_f|| \leq$' num2str(tol_v_f(1,2))]},...
    {[num2str(tol_r_f(2,1)) '$\leq ||\boldmath{r}_f|| \leq$' num2str(tol_r_f(2,2))];...
    [num2str(tol_v_f(2,1)) '$\leq ||\boldmath{v}_f|| \leq$' num2str(tol_v_f(2,2))]},...
    {[num2str(tol_r_f(3,1)) '$\leq ||\boldmath{r}_f|| \leq$' num2str(tol_r_f(3,2))];...
    [num2str(tol_v_f(3,1)) '$\leq ||\boldmath{v}_f|| \leq$' num2str(tol_v_f(3,2))]},...
    {[num2str(tol_r_f(4,1)) '$\leq ||\boldmath{r}_f|| \leq$' num2str(tol_r_f(4,2))];...
    [num2str(tol_v_f(4,1)) '$\leq ||\boldmath{v}_f|| \leq$' num2str(tol_v_f(4,2))]}};
x_t1=rand(1,50)

x_t1 = 1×50

0.5273 0.9328 0.6801 0.4267 0.6459 0.8525 0.7273 0.3672 0.5781 0.0356 0.1051 0.0179 0.6041 0.2366 0.9928 0.5229 0.1017 0.5249 0.2572 0.1435 0.5885 0.1182 0.9746 0.3242 0.4079 0.7173 0.5745 0.2048 0.5527 0.5067

g_t1=[zeros(1,10) ones(1,20) 2*ones(1,10) 3*ones(1,10)];
x_t2=rand(1,50)

x_t2 = 1×50

0.6849 0.9181 0.4210 0.6358 0.5137 0.0796 0.9922 0.4163 0.8720 0.1286 0.6509 0.0395 0.4785 0.8855 0.3920 0.6896 0.0298 0.3656 0.8714 0.6152 0.5660 0.6087 0.6257 0.6035 0.4015 0.1026 0.9413 0.0172 0.3658 0.4015

g_t2=[zeros(1,10) ones(1,20) 2*ones(1,10) 3*ones(1,10)];
x_tf=rand(1,50)

x_tf = 1×50

0.4853 0.2465 0.0762 0.1879 0.7779 0.6500 0.3738 0.0251 0.5201 0.2227 0.7811 0.6906 0.7261 0.1017 0.6216 0.6077 0.6257 0.1733 0.4016 0.5364 0.4210 0.3506 0.0940 0.6231 0.2136 0.2247 0.8545 0.9760 0.5769 0.7037

g_tf=[zeros(1,10) ones(1,20) 2*ones(1,10) 3*ones(1,10)];

figure(1)
boxplot(x_t1,g_t1,'labels',range)  

Error using boxplot>assignUserLabels
There must be the same number of labels as groups or as the number of elements in X.

Error in boxplot>identifyGroups (line 1254)
assignUserLabels(labels,groupIndexByPoint,numFlatGroups,xlen,...

Error in boxplot (line 290)
identifyGroups (gDat,grouporder,positions,colorgroup,...

xlabel('Cluster Ranges','Interpreter','Latex')
ylabel('$\% t_1$','Interpreter','Latex')
figure(2)
boxplot(x_t2,g_t2,'labels',range)
xlabel('Cluster Ranges','Interpreter','Latex')
ylabel('$\% t_2$','Interpreter','Latex')
figure(3)
boxplot(x_tf,g_tf,'labels',range)
xlabel('Cluster Ranges','Interpreter','Latex')
ylabel('$\% t_f$','Interpreter','Latex')

[Walter Roberson]

You have four entries in range but there are only three unique g_tf entries. The number of unique group entries must match the number of entries in range.

[Alessandro Maria Laspina]

@Walter Roberson my mistake. It nevertheless causes an error.

[Walter Roberson]

tol_r_f=[0 .2;0 .04;0 .03;.1 1];
tol_v_f=[.3 1;.09 .2;0 .07;1 10];

range={{[num2str(tol_r_f(1,1)) '$\leq ||\boldmath{r}_f|| \leq$' num2str(tol_r_f(1,2))];...
    [num2str(tol_v_f(1,1)) '$\leq ||\boldmath{v}_f|| \leq$' num2str(tol_v_f(1,2))]},...
    {[num2str(tol_r_f(2,1)) '$\leq ||\boldmath{r}_f|| \leq$' num2str(tol_r_f(2,2))];...
    [num2str(tol_v_f(2,1)) '$\leq ||\boldmath{v}_f|| \leq$' num2str(tol_v_f(2,2))]},...
    {[num2str(tol_r_f(3,1)) '$\leq ||\boldmath{r}_f|| \leq$' num2str(tol_r_f(3,2))];...
    [num2str(tol_v_f(3,1)) '$\leq ||\boldmath{v}_f|| \leq$' num2str(tol_v_f(3,2))]},...
    {[num2str(tol_r_f(4,1)) '$\leq ||\boldmath{r}_f|| \leq$' num2str(tol_r_f(4,2))];...
    [num2str(tol_v_f(4,1)) '$\leq ||\boldmath{v}_f|| \leq$' num2str(tol_v_f(4,2))]}};
x_t1=rand(1,50)

x_t1 = 1×50

0.6093 0.4143 0.5604 0.7817 0.3154 0.6429 0.1901 0.5669 0.1163 0.0915 0.7984 0.1807 0.5601 0.6392 0.3546 0.4548 0.2190 0.1976 0.4390 0.6179 0.1811 0.5870 0.1348 0.3278 0.3646 0.0745 0.0246 0.7225 0.3311 0.8272

g_t1=[zeros(1,10) ones(1,20) 2*ones(1,10) 3*ones(1,10)];
x_t2=rand(1,50)

x_t2 = 1×50

0.9798 0.9563 0.5104 0.9247 0.7734 0.5076 0.4018 0.1795 0.3879 0.9752 0.5172 0.4234 0.7161 0.0341 0.9010 0.2039 0.1041 0.6151 0.1234 0.1109 0.2811 0.6940 0.6776 0.8558 0.3473 0.5074 0.2569 0.1797 0.3170 0.1876

g_t2=[zeros(1,10) ones(1,20) 2*ones(1,10) 3*ones(1,10)];
x_tf=rand(1,50)

x_tf = 1×50

0.4488 0.7155 0.4695 0.2569 0.2076 0.9335 0.3564 0.3334 0.8679 0.7221 0.5543 0.9747 0.0139 0.4763 0.5383 0.9334 0.4048 0.9509 0.2022 0.9712 0.9588 0.2008 0.0739 0.8498 0.3509 0.2855 0.8247 0.1169 0.5238 0.8712

g_tf=[zeros(1,10) ones(1,20) 2*ones(1,10) 3*ones(1,10)];

figure(1)

Range1 = cellfun(@(C) C{1}, range, 'UniformOutput',false);
Range2 = cellfun(@(C) C{2}, range, 'UniformOutput',false);
Range = {Range1, Range2};
boxplot(x_t1, g_t1.', 'labels', Range)  
xlabel('Cluster Ranges','Interpreter','Latex')
ylabel('$\% t_1$','Interpreter','Latex')
set(findobj(1, 'type', 'text'), 'interpreter', 'latex');

figure(2)
boxplot(x_t2, g_t2.', 'labels', Range)
xlabel('Cluster Ranges','Interpreter','Latex')
ylabel('$\% t_2$','Interpreter','Latex')
set(findobj(2, 'type', 'text'), 'interpreter', 'latex');

figure(3)
boxplot(x_tf, g_tf.', 'labels', Range)
xlabel('Cluster Ranges','Interpreter','Latex')
ylabel('$\% t_f$','Interpreter','Latex')
set(findobj(3, 'type', 'text'), 'interpreter', 'latex');

Answer 1

[Voss]

I couldn't get it to work either, but here's a workaround where you create text objects instead of setting the xticklabels (shown for the first figure only):

tol_r_f=[0 .2;0 .04;0 .03;.1 1];
tol_v_f=[.3 1;.09 .2;0 .07;1 10];

range = sprintfc([ ...
    '%g$\\leq ||\\boldmath{r}_f|| \\leq$%g\n' ...
    '%g$\\leq ||\\boldmath{v}_f|| \\leq$%g'], ...
    [tol_r_f, tol_v_f])

range = 4×1 cell array
    {'0$\leq ||\boldmath{r}_f|| \leq$0.2↵0.3$\leq ||\boldmath{v}_f|| \leq$1'    }
    {'0$\leq ||\boldmath{r}_f|| \leq$0.04↵0.09$\leq ||\boldmath{v}_f|| \leq$0.2'}
    {'0$\leq ||\boldmath{r}_f|| \leq$0.03↵0$\leq ||\boldmath{v}_f|| \leq$0.07'  }
    {'0.1$\leq ||\boldmath{r}_f|| \leq$1↵1$\leq ||\boldmath{v}_f|| \leq$10'     }

x_t1=rand(1,50);
g_t1=[zeros(1,10) ones(1,20) 2*ones(1,10) 3*ones(1,10)];
x_t2=rand(1,50);
g_t2=[zeros(1,10) ones(1,20) 2*ones(1,10) 3*ones(1,10)];
x_tf=rand(1,50);
g_tf=[zeros(1,10) ones(1,20) 2*ones(1,10) 3*ones(1,10)];

figure(1)
boxplot(x_t1,g_t1)%,'labels',range)

yl = ylim();
yt = yl(1)-0.02*(yl(2)-yl(1));
xt = xticks();
nt = numel(xt);
xticklabels(repmat({''},1,nt));
text(xt,yt*ones(1,nt),range, ...
    'Interpreter','latex', ...
    'HorizontalAlignment','center', ...
    'VerticalAlignment','top')

xlabel(sprintf('\n\n\nCluster Ranges'),'Interpreter','Latex')
ylabel('$\% t_1$','Interpreter','Latex')