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@@ -123,7 +123,7 @@ describe the application of these principles in epidemiological models.
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-\section{Epidemiological Models 3}
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+\section{Epidemiological Models 4}
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\label{sec:epidemModel}
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\label{sec:epidemModel}
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Pandemics, like \emph{COVID-19}, which has resulted in a significant
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Pandemics, like \emph{COVID-19}, which has resulted in a significant
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@@ -150,7 +150,7 @@ and relations that are pivotal to understanding the problem.
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-\subsection{SIR Model 2}
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+\subsection{SIR Model 3}
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\label{sec:pandemicModel:sir}
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\label{sec:pandemicModel:sir}
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In 1927, Kermack and McKendrick~\cite{1927} introduced the \emph{SIR Model},
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In 1927, Kermack and McKendrick~\cite{1927} introduced the \emph{SIR Model},
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@@ -518,7 +518,7 @@ systems.
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-\section{Physics Informed Neural Networks 5}
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+\section{Physics Informed Neural Networks 4}
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\label{sec:pinn}
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\label{sec:pinn}
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In~\Cref{sec:mlp}, we describe the structure and training of MLP's, which are
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In~\Cref{sec:mlp}, we describe the structure and training of MLP's, which are
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@@ -629,7 +629,7 @@ parameter and the observation loss.
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-\subsection{Disease Informed Neural Networks 2}
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+\subsection{Disease Informed Neural Networks 1}
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\label{sec:pinn:dinn}
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\label{sec:pinn:dinn}
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In this section, we describe the capability of MLP's to solve systems of
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In this section, we describe the capability of MLP's to solve systems of
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differential equations. In~\Cref{sec:pandemicModel:sir}, we describe the SIR
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differential equations. In~\Cref{sec:pandemicModel:sir}, we describe the SIR
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