Adding reference to Monte Carlo paper by M. Costantini

Author: achiefa

doc/initialisation.tex

@@ -75,7 +75,7 @@ \subsection{The 1-dimensional regression problem of PDFs}
 initialisation is discussed below in Sec.~\ref{sec:NNinit}.
 
 In order to account for the experimental uncertainties and propagate them to the
-fitted PDFs, the NNPDF collaboration uses Monte Carlo replicas. For each
+fitted PDFs, the NNPDF collaboration uses Monte Carlo replicas~\cite{Costantini:2024wby}. For each
 replica, labelled by the index $k$, a new set of data $Y^{(k)}$ is generated from an $\ndat$ dimensional
 Gaussian distribution centred at the experimental central value $Y$, with the
 covariance given by the experimental covariance matrix $C_Y$,

doc/ntk.bib

@@ -498,4 +498,17 @@ @article{tovey2025collective
   archivePrefix={arXiv},
   primaryClass={cs.LG},
   url={https://arxiv.org/abs/2410.07451}, 
+}
+
+@article{Costantini:2024wby,
+    author = "Costantini, Mark N. and Madigan, Maeve and Mantani, Luca and Moore, James M.",
+    title = "{A critical study of the Monte Carlo replica method}",
+    eprint = "2404.10056",
+    archivePrefix = "arXiv",
+    primaryClass = "hep-ph",
+    doi = "10.1007/JHEP12(2024)064",
+    journal = "JHEP",
+    volume = "12",
+    pages = "064",
+    year = "2024"
 }