dissertation_work/Dissertation/main.tex

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\include{preamble}
\include{commands}
\title{Artificial Neural Networks Applied to Stochastic Monte Carlo as a Way to Approximate Modified Heat Equations, and Their Associated Parameters.}
\author{Shakil Rafi}
\begin{document}
\maketitle
\tableofcontents
\part{On Convergence of Brownian Motion Monte Carlo}
\include{Introduction}
\include{Brownian_motion_monte_carlo}
\include{u_visc_sol}
\include{brownian_motion_monte_carlo_non_linear_case}
\part{A Structural Description of Artificial Neural Networks}
\include{neural_network_introduction}
\include{ann_product}
\include{modified_mlp_associated_nn}
\include{ann_first_approximations}
\part{A deep-learning solution for $u$ and Brownian motions}
\include{ann_rep_brownian_motion_monte_carlo}
\include{conclusions-further-research}
\nocite{*}
\singlespacing
\bibliography{main.bib}
\bibliographystyle{apa}
\include{appendices}
\end{document}