\documentclass[11pt]{article}
\usepackage[a4paper,left=25mm,right=25mm,top=24mm,bottom=25mm,headheight=14pt]{geometry}
\usepackage{amsmath,amssymb,amsthm,booktabs,float,algorithm,algpseudocode}
\usepackage{graphicx,array,microtype,longtable}
\usepackage[T1]{fontenc}
\usepackage{mathpazo,titlesec,fancyhdr,caption,enumitem,etoolbox}
\linespread{1.045}
\setlength{\parindent}{1.2em}
\setlength{\parskip}{2pt}
\titleformat{\section}{\large\sffamily\bfseries}{\thesection}{0.65em}{}
\titleformat{\subsection}{\normalsize\sffamily\bfseries}{\thesubsection}{0.65em}{}
\titlespacing*{\section}{0pt}{2.0ex plus 1ex minus .2ex}{1.1ex}
\titlespacing*{\subsection}{0pt}{1.6ex plus .5ex}{0.7ex}
\captionsetup{font=small,labelfont=bf,labelsep=period,skip=8pt}
\setlist[enumerate]{leftmargin=1.8em,itemsep=4pt,topsep=6pt}
\pagestyle{fancy}
\fancyhf{}
\fancyhead[L]{\small\itshape Complex-corrected stochastic gradient descent}
\fancyfoot[C]{\small\thepage}
\renewcommand{\headrulewidth}{0pt}
\AtBeginEnvironment{thebibliography}{\small}
\renewcommand{\maketitle}{%
  \thispagestyle{plain}%
  \begingroup\raggedright
  {\fontsize{22}{26}\selectfont\bfseries
  Complex-Corrected\\Stochastic Gradient Descent\\for Noisy Observations\par}
  \vspace{12pt}\hrule\vspace{14pt}
  \endgroup}
\renewenvironment{abstract}
  {\small\noindent\textbf{Abstract.}\ignorespaces}
  {\par\vspace{10pt}}
\usepackage[hidelinks]{hyperref}
\floatstyle{ruled}\restylefloat{algorithm}
\setlength{\tabcolsep}{4pt}
\setlength{\emergencystretch}{1em}
\raggedbottom
\numberwithin{equation}{section}
\newtheoremstyle{emphasizedplain}
  {9pt plus 2pt minus 1pt}{9pt plus 2pt minus 1pt}
  {\itshape}{}{\bfseries}{.}{0.6em}
  {\thmname{#1}\thmnumber{ #2}\thmnote{\textbf{ (#3)}}}
\newtheoremstyle{emphasizeddefinition}
  {9pt plus 2pt minus 1pt}{9pt plus 2pt minus 1pt}
  {\normalfont}{}{\bfseries}{.}{0.6em}
  {\thmname{#1}\thmnumber{ #2}\thmnote{\textbf{ (#3)}}}
\theoremstyle{emphasizedplain}
\newtheorem{theorem}{Theorem}[section]
\newtheorem{lemma}[theorem]{Lemma}
\theoremstyle{emphasizeddefinition}
\newtheorem{assumption}[theorem]{Assumption}
\title{Complex-Corrected Stochastic Gradient Descent for Noisy Observations}
\author{}
\date{}
\hypersetup{pdftitle={Complex-Corrected Stochastic Gradient Descent for Noisy Observations},
pdfsubject={Exact gradient correction and stochastic optimization under Gaussian measurement error}}
\begin{document}
\maketitle
\input{abstract}
\input{introduction}
\input{related_work}
\input{algorithm}
\input{main_results}
\input{examples}
\input{experiments}
\input{future_work}
\appendix
\input{appendix_proofs}
\input{appendix_experiments}
\clearpage
\input{appendix_notation}
\bibliographystyle{plain}
\bibliography{references}
\end{document}