%\documentclass{uai2025} % for initial submission
\documentclass[accepted]{uai2025} % after acceptance, for a revised version; 
% also before submission to see how the non-anonymous paper would look like 
                        
%% There is a class option to choose the math font
% \documentclass[mathfont=ptmx]{uai2025} % ptmx math instead of Computer
                                         % Modern (has noticeable issues)
% \documentclass[mathfont=newtx]{uai2025} % newtx fonts (improves upon
                                          % ptmx; less tested, no support)
% NOTE: Only keep *one* line above as appropriate, as it will be replaced
%       automatically for papers to be published. Do not make any other
%       change above this note for an accepted version.

%% Choose your variant of English; be consistent
\usepackage[american]{babel}
% \usepackage[british]{babel}

%% Some suggested packages, as needed:
\usepackage{natbib} % has a nice set of citation styles and commands
    \bibliographystyle{plainnat}
    \renewcommand{\bibsection}{\subsubsection*{References}}
\usepackage{mathtools} % amsmath with fixes and additions
% \usepackage{siunitx} % for proper typesetting of numbers and units
\usepackage{booktabs} % commands to create good-looking tables
\usepackage{amssymb}
\usepackage{wrapfig}
\usepackage{tikz} % nice language for creating drawings and diagrams

%% Provided macros
% \smaller: Because the class footnote size is essentially LaTeX's \small,
%           redefining \footnotesize, we provide the original \footnotesize
%           using this macro.
%           (Use only sparingly, e.g., in drawings, as it is quite small.)

%% Self-defined macros
\newcommand{\swap}[3][-]{#3#1#2} % just an example

\usepackage{amsthm}
\usepackage{microtype}
\usepackage{graphicx}
\usepackage{subfigure}
\usepackage{booktabs} % for professional tables

% hyperref makes hyperlinks in the resulting PDF.
% If your build breaks (sometimes temporarily if a hyperlink spans a page)
% please comment out the following usepackage line and replace
% \usepackage{icml2024} with \usepackage[nohyperref]{icml2024} above.
\usepackage{hyperref}


% Attempt to make hyperref and algorithmic work together better:
\newcommand{\theHalgorithm}{\arabic{algorithm}}



% to avoid loading the natbib package, add option nonatbib:
\usepackage{soul}
\usepackage{wrapfig}
\usepackage{multirow}
\usepackage{booktabs} 
\usepackage{mathrsfs}
\usepackage{colortbl}
\usepackage{wrapfig,lipsum,booktabs}
\usepackage{microtype}
\usepackage{graphicx}
\usepackage{bbm}
\usepackage{subfigure}
\usepackage{booktabs} % for professional tables
\usepackage{verbatim}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{multirow}
\usepackage{booktabs}
\usepackage{makecell}
\usepackage{colortbl}
\usepackage{xcolor}
\usepackage{caption}
\usepackage[flushleft]{threeparttable}
\usepackage{thmtools}
\usepackage{thm-restate}
\usepackage{tcolorbox}

\declaretheorem{theorem}

\usepackage{hyperref}
\usepackage{algorithm}
\usepackage{algorithmic}

% Attempt to make hyperref and algorithmic work together better:
% \newcommand{\theHalgorithm}{\arabic{algorithm}}

\usepackage{xcolor}
\newcommand{\chaosheng}[1]{\textcolor{orange}{\emph{[#1]}}}
\newcommand{\kevin}[1]{{\color{purple}[Kevin: #1]}}
\newcommand{\michi}[1]{\textcolor{magenta}{\emph{[#1]}}}
\usepackage{xcolor}
\newcommand{\haibo}[1]{\textcolor{blue}{\emph{[#1]}}}

% \input{math_commands.tex}
% \input{symbols_commands}

\newcommand{\x}{\mathbf{x}}
\newcommand{\y}{\mathbf{y}}
\newcommand{\F}{\mathbf{F}}
\newcommand{\A}{\mathbf{A}}
\newcommand{\bd}{\mathbf{d}}
\newcommand{\bu}{\mathbf{u}}

%\newtheorem{theorem}{Theorem}[section] % Theorems numbered within sections
\newtheorem{corollary}{Corollary} % Corollaries numbered within sections
%\newtheorem{lemma}{Lemma}[section] % Lemmas numbered within sections

\newtheorem{lem}{Lemma}
\newtheorem{assump}{Assumption}
\newtheorem{defn}{Definition}
%\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{remark}{Remark}
\newcommand{\alg}{$\mathsf{STIMULUS}~$}
\newcommand{\algns}{$\mathsf{STIMULUS}$}
\newcommand{\algm}{$\mathsf{STIMULUS}$-$\mathsf{M}~$}
\newcommand{\algmns}{$\mathsf{STIMULUS}$-$\mathsf{M}$}
\newcommand{\algp}{$\mathsf{STIMULUS}^+~$}
\newcommand{\algpns}{$\mathsf{STIMULUS}^+~$}
\newcommand{\algmp}{$\mathsf{STIMULUS}$-$\mathsf{M}^+~$}
\newcommand{\algmpns}{$\mathsf{STIMULUS}$-$\mathsf{M}^+$}



%%
%% The "title" command has an optional parameter,
%% allowing the author to define a "short title" to be used in page headers.
\title{\algns:~Achieving Fast Convergence and Low Sample Complexity in Stochastic Multi-Objective Learning}


% The standard author block has changed for UAI 2025 to provide
% more space for long author lists and allow for complex affiliations
%
% All author information is authomatically removed by the class for the
% anonymous submission version of your paper, so you can already add your
% information below.
%

%
% Add authors


\author[4]{Zhuqing Liu$^{1}$, Chaosheng Dong$^{2}$, Michinari Momma$^{2}$, Simone Shao$^{2}$, \\ Shaoyuan Xu$^{2}$, Yan Gao$^{2}$, Haibo Yang$^{3}$, Jia Liu}

% Add affiliations after the authors
\affil[1]{%
    Computer Science and Engineering\\
    University of North Texas\\
    Denton, TX, USA
}
\affil[2]{%
    Amazon\\
    Seattle, WA, USA
}
\affil[3]{%
    Computing and Information Sciences\\
    Rochester Institute of Technology\\
    Rochester, NY, USA
  }
\affil[4]{%
    Electrical and Computer Engineering\\
    The Ohio State University\\
    Columbus, OH, USA
  }

  
  \begin{document}
  
\maketitle

\input{abstract}


\input{sec1_introduction.tex}
\input{sec2_relatedwork.tex}
\input{sec3_algorithm.tex}
\input{sec4_convergence.tex}
\input{sec5_experiment.tex}
\input{sec6_conclusion.tex}

\bibliography{MOO, DNN}


%\bibliographystyle{plain}
\appendix
\allowdisplaybreaks

\input{proof.tex}
\input{proof_momentum.tex}
\input{proof_mp.tex}
\input{exp.tex}

\end{document}
\endinput
%%
%% End of file `sample-sigconf.tex'.
