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\title{Flat Posterior Does Matter For Bayesian Model Averaging}

% 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[1]{Sungjun Lim\footnote{Correspondence to: \texttt{\scriptsize{lsj9862@gmail.com}}}}
% \author[1]{Jeyoon Yeom}
% \author[2]{Sooyon Kim}
% \author[1]{Hoyoon Byun}
% \author[3]{Jinho Kang}
% \author[4]{Yohan Jung\footnote{Corresponding Authors}}
% \author[3]{Jiyoung Jung$^\dagger$}
% \author[1]{Kyungwoo Song$^\dagger$}

\author[1]{Sungjun Lim}
\author[1]{Jeyoon Yeom}
\author[2]{Sooyon Kim}
\author[1]{Hoyoon Byun}
\author[3]{Jinho Kang}
\author[4]{Yohan Jung\corresponding\aff}
\author[3]{Jiyoung Jung$^\dagger$}
\author[1]{Kyungwoo Song\correspondence{kyungwoo.song@gmail.com}$^\dagger$}


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% \affil[1]{Yonsei University}
% \affil[2]{Ohio State University}
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\affil[ ]{%
%
\textsuperscript{1}Yonsei University \quad
\textsuperscript{2}Ohio State University \quad
\textsuperscript{3}University of Seoul \quad
\textsuperscript{4}RIKEN AIP%
}



\begin{document}
\maketitle



\begin{abstract}
\input{sections/abstract.tex}
\end{abstract}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Section] Introduction
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Introduction}\label{sec:introduction}
\input{sections/introduction.tex}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Section] Preliminary
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Preliminary}\label{sec:preliminary}
\input{sections/preliminary.tex}



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Section] Flatness Does Matter For Bayesian Model Averaging
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Flatness Does Matter For Bayesian Model Averaging}\label{sec:flatness_does_matter_for_bayesian_model_averaging}
\input{sections/flatness_does_matter_for_bma.tex}





%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Section] Bayesian Model Averaging With Flat Posterior
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Bayesian Model Averaging with Flat Posterior}\label{sec:bayesian_model_averaging_with_flat_posterior}
\input{sections/bma_with_flat_posterior.tex}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Section] Experiments
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Experiments}\label{sec:experiments}
\input{sections/experiments.tex}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Section] Related works
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Related Works}\label{sec:related_works}
\input{sections/related_works.tex}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Section] Conclusion
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\section{Conclusion}\label{sec:conclusion}
\input{sections/conclusion.tex}

\clearpage
\section*{Acknowledgement}
\input{sections/acknowledgement.tex}


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% References
\bibliography{main}





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%% Appendix (Supplementary Material)
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\title{Flat Posterior Does Matter For Bayesian Model Averaging\\(Appendix)}
\maketitle

\appendix
\section{Flatness Does Matter For Bayesian Model Averaging}\label{sec:flatness_does_matter_for_bma_app}
\input{sections/appendix/flatness_does_matter_for_bayesian_model_averaging}

\clearpage
\section{Proof and Derivation}\label{sec:proof_and_derivation}
\input{sections/appendix/proof_and_derivation.tex}

\clearpage
\section{Experiments}\label{sec:experiments_app}
\input{sections/appendix/experiments.tex}




\end{document}
