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How can I add the same text that appear inside the area surrounded by the arrow above the phrase "Item-based", meaning, $mathrmsim(u_a,u_j)$ but inside the area surrounded by the arrow next to the text "User-based similarity measure"?

CODE

documentclass[tikz,border=3.14mm]standalone
usetikzlibrarymatrix
begindocument
 begintikzpicture[font=footnotesize,b/.style=text=blue,font=bfseries]
 matrix(m)[matrix of nodes,
 nodes=minimum size=5ex,anchor=center,draw,
 row 1/.style=nodes=draw=none,fill=none,
 column 5/.style=nodes=fill=gray!30,
 column 6/.style=nodes=fill=gray!30,
 row 4/.style=nodes=fill=orange!30,
 column 1/.style=nodes=draw=none,fill=none,
 row sep=-pgflinewidth,
 column sep=-pgflinewidth,
 nodes in empty cells,
 ][b];
 draw[-latex](m-6-9.east)--+(1,0)node[above right]User-based similarity measure|-(m-5-9.east);
 node[left]at(m-4-1.west)Active User;
 draw[latex-] (m-1-6) -- ++ (-1,1) node[above left,align=left]
 Item preference score is\ predicted for active user;
 draw[-latex]([xshift=-2pt]m-8-6.south east)--++(0,-1) -| 
 ([xshift=2pt]m-8-5.south west)
 node[pos=0.25,below]Item-based
 node[pos=0.25,above,font=tiny]$mathrmsim(u_a,u_j)$;
 endtikzpicture
enddocument

Since the loop is built with the syntax |-, it is sufficient to use the specific placement of nodes on such paths. To know:

• 0.5 is the right angle


• .25 is half of the first segment.

For aesthetic reasons, I have divided the text into two lines.

draw[-latex,align=center](m-6-9.east)--+(1.8,0)node[above right]User-based\ similarity measure|-(m-5-9.east)node[pos=.25,left]$mathrmsim(u_a,u_j)$;

documentclass[tikz,border=3.14mm]standalone
usetikzlibrarymatrix
begindocument
 begintikzpicture[font=footnotesize,b/.style=text=blue,font=bfseries]
 matrix(m)[matrix of nodes,
 nodes=minimum size=5ex,anchor=center,draw,
 row 1/.style=nodes=draw=none,fill=none,
 column 5/.style=nodes=fill=gray!30,
 column 6/.style=nodes=fill=gray!30,
 row 4/.style=nodes=fill=orange!30,
 column 1/.style=nodes=draw=none,fill=none,
 row sep=-pgflinewidth,
 column sep=-pgflinewidth,
 nodes in empty cells,
 ][b];
 draw[-latex,align=center](m-6-9.east)--+(1.8,0)node[above right]User-based\ similarity measure|-(m-5-9.east)node[pos=.25,left]$mathrmsim(u_a,u_j)$;
 node[left]at(m-4-1.west)Active User;
 draw[latex-] (m-1-6) -- ++ (-1,1) node[above left,align=left]
 Item preference score is\ predicted for active user;
 draw[-latex]([xshift=-2pt]m-8-6.south east)--++(0,-1) -| 
 ([xshift=2pt]m-8-5.south west)
 node[pos=0.25,below]Item-based
 node[pos=0.25,above,font=tiny]$mathrmsim(u_a,u_j)$;
 endtikzpicture
enddocument

This is more or less repetition from the answer that yielded your code. It is designed in such a way that, if you add more text, the arrow loop will adjust its size.

documentclass[tikz,border=3.14mm]standalone
usetikzlibrarymatrix
begindocument
 begintikzpicture[font=footnotesize,b/.style=text=blue,font=bfseries]
 matrix(m)[matrix of nodes,
 nodes=minimum size=5ex,anchor=center,draw,
 row 1/.style=nodes=draw=none,fill=none,
 column 5/.style=nodes=fill=gray!30,
 column 6/.style=nodes=fill=gray!30,
 row 4/.style=nodes=fill=orange!30,
 column 1/.style=nodes=draw=none,fill=none,
 row sep=-pgflinewidth,
 column sep=-pgflinewidth,
 nodes in empty cells,
 ][b];
 node[left]at(m-4-1.west)Active User;
 path (m-6-9.south east) -- (m-5-9.north east) 
 node[midway,right,font=tiny] (ub) $mathrmsim(u_a,u_j)$;
 draw[-latex](m-6-9.east) --
 ([xshift=2pt]ub.east|-m-6-9.east) |-(m-5-9.east)
 node[pos=0.25,right,align=left] User-based si-\milarity measure;
 ;
 draw[latex-] (m-1-6.north) -- ++ (-1,1) node[above left,align=left]
 Item preference score is\ predicted for active user;
 draw[-latex]([xshift=-2pt]m-8-6.south east)--++(0,-1) -| 
 ([xshift=2pt]m-8-5.south west)
 node[pos=0.25,below]Item-based
 node[pos=0.25,above,font=tiny]$mathrmsim(u_a,u_j)$;
 endtikzpicture
enddocument

To see this automatic adjustment, try

path (m-6-9.south east) -- (m-5-9.north east) 
 node[midway,right] (ub) $mathrmsim(u_a,u_j)$;

to get

There is no hardcoded distance.