\documentclass[12pt,a4paper,twoside,notitlepage]{report}%
\pagestyle{plain}
\setcounter{secnumdepth}{0}

\usepackage{amsfonts, amsmath, amssymb, amsthm}
\usepackage{dsfont}
\usepackage{enumerate}
\usepackage[ruled,vlined]{algorithm2e}
%\usepackage{nicefrac}

% Personnal commands
\newcommand{\bx}{{\mathbf{x}}}
\newcommand{\by}{{\mathbf{y}}}
\newcommand{\bE}{{\mathbb{E}}}
\newcommand{\bP}{\mathbb{P}}
\newcommand{\bR}{{\mathbb{R}}}
\newcommand{\cD}{{\mathcal{D}}}
\newcommand{\cH}{{\mathcal{H}}}
\newcommand{\cX}{{\mathcal{X}}}
\DeclareMathOperator*{\argmax}{arg\,max}
\DeclareMathOperator*{\argmin}{arg\,min}

\title{Graded Homework 1\\CS-526 Learning Theory}
\author{Your name}
\date{}

\begin{document}
\maketitle
\vspace{-0.8cm}\hrule
\subsection{Exercise 2 of Chapter 6}
\noindent\textbf{1.} $\mathrm{VCdim}(\cH_{=k})$.\\

\noindent\textbf{2.} $\mathrm{VCdim}(\cH_{at-most-k})$.
\subsection{Exercise 8 of Chapter 6}

\subsection{Exercise 9 of Chapter 6}

\subsection{Exercise 5, question 2 of Chapter 7}

\subsection{Exercise \textit{``VC dimension of circles''}}
Example of commands defined in the template: $\bx, \by, \bE, \bP, \bR, \cD, \cX, \cH = \big\{ \mathds{1}_{B(\mathbf{y},r)}: r \geq 0 \text{ and } \mathbf{y} \in \mathbb{R}^2 \big\}$. Feel free to remove/change them.
\end{document}
