Making equation more compact in algorithmic and algorithm in double column

I am writing a pseudocode for algorithm under sty file aistats2021.sty using algorithmic and algorithm package. My question is how can I fit line 14 in one line?

And here is the latex code.

documentclass[twoside]{article}

usepackage{aistats2021}
usepackage{algorithmic}
usepackage{algorithm}


begin{document}
begin{algorithm}[t]
caption{label{Algorithm-TS} Algo }

begin{algorithmic}[1]
STATE Initialize ${Q^0_h}_{h=1}^H$ as zero functions and ${pi^0_h}_{h=1}^H$ as uniform distributions on $cA$. label{line:winit}
STATE textbf{For} episode $k=1,2,ldots, K$ textbf{do}

STATE hspace{0.15in} Receive the initial state $s_1^k$.

STATE hspace{0.15in} textbf{For} step {$h=1, 2, ldots, H$} textbf{do} label{line:pis-start}

STATE hspace{0.30in} Update policy 
STATE hspace{0.45in} $pi^k_h (cdot ,|, cdot) propto pi^{k-1}_h(cdot ,|, cdot) cdot exp{alpha Q^{k-1}_h(cdot , cdot)}$ label{line:policy-improvement}

STATE hspace{0.30in}  Take the action following $a^k_hsimpi^k_h(cdot,|,s_h^k)$.

STATE hspace{0.30in}  Observe reward $r_h(s_h^k,a^k_h)$ and 
STATE hspace{0.45in} get next state $s^k_{t+1}$.  label{line:pis-end}
STATE hspace{0.15in} Initialize $V^k_{H+1}$ as a zero function.

STATE hspace{0.15in} textbf{For} step {$h=H, H-1,ldots, 1$} textbf{do}label{line:pes-start}
STATE hspace{0.30in} $hat{w}^k_h leftarrow (Lambda^{k}_h)^{-1} sum_{i=1}^{k-1} r_h(s_h^i, a_h^i) varphi(s_h^i,a_h^i) $. label{line:w-hat}

STATE hspace{0.30in} Sample i.i.d. ${epsilon^{k,j}_h}_{j in [M]} sim mathcal{N}(0,sigma^2_2(Lambda^{k}_h)^{-1}) $.label{line:r_noise-sample}

STATE hspace{0.30in} $Tilde{P}_hTilde{V}^{k,j}_{h+1}(cdot,cdot) leftarrow  phi_h^{k}(cdot, cdot)^top(hat{theta}^k_h + xi^{k,j}_h)$ for $j in [M]$.
label{line:PVh_plus_1_tilde_perturbed}

STATE hspace{0.30in} $Tilde{r}^{k,j}_h(cdot,cdot) leftarrow  varphi(cdot, cdot)^top(hat{w}^k_h + epsilon^{k,j}_h)$ for $j in [M]$.label{line:r_tilde_perturbed}
STATE hspace{0.30in} $V^k_h(cdot) leftarrow langle Q^k_h(cdot,cdot), pi^k_h(cdot,|,cdot) rangle_{cA}$.label{line:pes-end}
end{algorithmic}
% end{spacing}
end{algorithm} 

end{document}

and here is the aistats2021.sty for reproducing it.

% File:  aistats2021.sty

% Modified by Robert Giaquinto and Krikamol Muandet 2021: changed
% venue, year, and volume number. Adjust spacing in the copyright box.
%
% Modified by Marcello Restelli, 2020: changed evensidemargin and
% oddsidemargin in order to center the text with respect to the page.
% Removed author names and affiliation when the paper is submitted.
% Added command to display acknowledgments only in the final version.
%
% Modified by Roberto Calandra, 2019: introduced parametric structure to
% change venue, year, and volume number. This will make life easier
% for future organizers :)
%
% Modified Atsushi Miyauchi, Mirai Tanaka and Akiko Takeda, 2018: changed venue,
% year, volume number, and heading for the references, and removed tiny bugs.
%
% Modified Fernando Perez-Cruz, 2017: changed venue, year, and volume number.
%
% Modified Scott Alfeld, 2016: changed venue, year, and volume number.
%
% Modified Zoltan Szabo, 2015: change venue, year, volume number.
%
% Modified Antti Honkela, 2013: change venue, year
%
% Modified Miro Dudik, 2011, 2012: change venue, year and volume number
%
% Modified Geoff Gordon, 2010: change to 2011
%
% Modified Mauricio Alvarez, 2009. Headings for the manuscript when
% being under review and additional changes so that the headings are
% automatically obtained from the title and author fields from the tex
% file. Also changes to the year 2009 for 2010 where it appeared.
%
% Modified Mauricio Alvarez, 2009. Copyright Notice and commands for headings
%
%
% Originally this file contains the LaTeX formatting parameters for the Morgan
% Kaufmann two column, 8 1/2 by 11 inch proceedings format.

NeedsTeXFormat{LaTeX2e}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Content to be changed from year to year

ProvidesPackage{aistats2021}[2020/08/23 AISTATS2021 submission/camera-ready style file]

newcommand{@conferenceordinal}{24textsuperscript{th}}
newcommand{@conferenceyear}{2021}
newcommand{@conferencelocation}{San Diego, California, USA}
newcommand{@conferencevolume}{130}  % To be assigned by JMLR

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

RequirePackage{amsmath}

% Create acknowledgments -- only if the option 'final' is activated
providecommand{acknowledgments}[1]{}
newcommand{ackaccepted}[1]{%
subsubsection*{Acknowledgments} #1
}

DeclareOption{accepted}{renewcommand{statePaper}{acceptedPaper}%
                         renewcommand{Notice@String}{AISTATS@appearing}%
                         renewcommand{acknowledgments}{ackaccepted}}

newcommand{statePaper}{0}
newcommand{acceptedPaper}{1}
newcommand{Notice@String}{Preliminary work. Under review by AISTATS @conferenceyear. Do not distribute.}
newcommand{AISTATS@appearing}{Proceedings of the @conferenceordinal,International Conference on Artificial
  Intelligence and Statistics (AISTATS) @conferenceyear,  @conferencelocation@. PMLR: Volume  @conferencevolume. Copyright
  @conferenceyear/ by the author(s).}

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oddsidemargin -0.125in
setlengthtopmargin{-25pt} setlengthtextheight{9.25in}
setlengthtextwidth{6.75in} setlengthcolumnsep{0.25in}
newlengthtitlebox setlengthtitlebox{2.375in}
setlengthheadheight{10pt} setlengthheadsep{15pt}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%% To include the copyright legend at the end of
%%%% the first column of the first page. Adapted from ICML09.sty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
defftype@copyrightbox{8}
def@copyrightspace{
% Create a float object positioned at the bottom of the column.  Note
% that because of the mystical nature of floats, this has to be called
% before the first column is populated with text (e.g., from the title
% or abstract blocks).  Otherwise, the text will force the float to
% the next column.  -- TDRL.
@float{copyrightbox}[b]
begin{center}
setlength{unitlength}{1pc}
begin{picture}(20,2.5)
% Create a line separating the main text from the note block.
% 4.818pc==0.8in.
put(0,3.5){line(1,0){4.818}}
% Insert the text string itself.  Note that the string has to be
% enclosed in a parbox -- the put call needs a box object to
% position.  Without the parbox, the text gets splattered across the
% bottom of the page semi-randomly.  The 19.75pc distance seems to be
% the width of the column, though I can't find an appropriate distance
% variable to substitute here.  -- TDRL.
put(0,0){parbox[b]{19.75pc}{small Notice@String}}
end{picture}
end{center}
end@float}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

setlengthfootskip{0pt}
thispagestyle{empty}     pagestyle{empty}
flushbottom twocolumn sloppy

defaddcontentsline#1#2#3{}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%     Definition of maketitle (includes title and author)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

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% box to check the size of the running head
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newboxautrun

% general page style
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fancyhead{}
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   % If paper is under review print this as headings

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              gdef@messagetitle{Running heading title breaks the line}
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     {
        fancyhead[CE]{smallbfseries@messagetitle}
        ifnum@runningheadingerrortitle>1
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           typeout{}%
           typeout{*******************************************************}%
           typeout{Running heading title exceeds size limitations for running head.}%
           typeout{Please supply a shorter form for the running head}
           typeout{with stringrunningtitle{...}space just after stringbegin{document}}%
           typeout{*******************************************************}%
           typeout{}%
           typeout{}%
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   % If the paper is under review, print this message as heading.

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       ifnum@runningheadingerrorauthor>1
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           typeout{}%
           typeout{*******************************************************}%
           typeout{Running heading author exceeds size limitations for running head.}%
           typeout{Please supply a shorter form for the running head}
           typeout{with stringrunningauthor{...}space just after stringbegin{document}}%
           typeout{*******************************************************}%
           typeout{}%
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     fancyhead[CO]{smallbfseries@runningauthor}
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            hbox to 0ptbgrouphss begin{tabular}[t]{c}bfseries #1
                                end{tabular}
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            hfilhfilegroup}
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   fi
}



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                    hbox to 0pt  bgroup hss begin{tabular}[t]{c}}
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                    hbox to 0pt  bgroup hssbegin{tabular}[t]{c}bfseries}
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}

renewcommand{headrulewidth}{0.5pt}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%  Definition of abstract environment
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

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{@copyrightspacecenterline{largebfseries
Abstract}vspace{0.5ex}begin{quote}}{parend{quote}vskip 1ex}

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% Footnotes
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% Lists and paragraphs
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partopsep 1pt plus 0.5pt minus 0.5pt
itemsep 2pt plus 1pt minus 0.5pt
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documentclass[twoside]{article}

usepackage{aistats2021}
usepackage{algorithmic}
usepackage{algorithm}
newcommand*{cA}{mathcal{A}}

begin{document}

begin{algorithm}[t]
caption{label{Algorithm-TS} Algo }

begin{algorithmic}[1]
STATE Initialize ${Q^0_h}_{h=1}^H$ as zero functions and ${pi^0_h}_{h=1}^H$ as uniform distributions on $cA$. label{line:winit}
STATE textbf{For} episode $k=1,2,ldots, K$ textbf{do}

STATE hspace{0.15in} Receive the initial state $s_1^k$.

STATE hspace{0.15in} textbf{For} step {$h=1, 2, ldots, H$} textbf{do} label{line:pis-start}

STATE qquad Update policy
STATE hspace{0.45in} $pi^k_h (cdot ,|, cdot) propto pi^{k-1}_h(cdot ,|, cdot) cdot exp{alpha Q^{k-1}_h(cdot , cdot)}$ label{line:policy-improvement}

STATE qquad Take the action following $a^k_hsimpi^k_h(cdot,|,s_h^k)$.

STATE qquad Observe reward $r_h(s_h^k,a^k_h)$ and
STATE hspace{0.45in} get next state $s^k_{t+1}$. label{line:pis-end}
STATE hspace{0.15in} Initialize $V^k_{H+1}$ as a zero function.

STATE hspace{0.15in} textbf{For} step {$h=H, H-1,ldots, 1$} textbf{do}label{line:pes-start}
STATE qquad $hat{w}^k_h leftarrow (Lambda^{k}_h)^{-1} sum_{i=1}^{k-1} r_h(s_h^i, a_h^i) varphi(s_h^i,a_h^i) $. label{line:w-hat}

STATE qquad Sample i.i.d. ${epsilon^{k,j}_h}_{j in [M]} sim mathcal{N}(0,sigma^2_2(Lambda^{k}_h)^{-1}) $.label{line:r_noise-sample}

STATE qquad $widetilde{P}_hwidetilde{V}^{k,j}_{h+1}(cdot,cdot) leftarrow phi_h^{k}(cdot, cdot)^{mkern-4mutop}(hat{theta}^k_h + xi^{k,j}_h)$ rlap{for $j in [M]$.}
label{line:PVh_plus_1_tilde_perturbed}

STATE qquad 
$Tilde{r}^{k,j}_h(cdot,cdot) leftarrow varphi(cdot, cdot)^{mkern-4mutop}(hat{w}^k_h + epsilon^{k,j}_h)$ for $j in [M]$.label{line:r_tilde_perturbed}
STATE qquad $V^k_h(cdot) leftarrow langle Q^k_h(cdot,cdot), pi^k_h(cdot,|,cdot) rangle_{cA}$.label{line:pes-end}
end{algorithmic}
% end{spacing}
end{algorithm}

end{document}