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authorJaron Kent-Dobias <jaron@kent-dobias.com>2022-11-07 14:25:43 +0100
committerJaron Kent-Dobias <jaron@kent-dobias.com>2022-11-07 14:25:43 +0100
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+\documentclass[a4paper]{letter}
+
+\usepackage[utf8]{inputenc} % why not type "Bézout" with unicode?
+\usepackage[T1]{fontenc} % vector fonts plz
+\usepackage{newtxtext,newtxmath} % Times for PR
+\usepackage[
+ colorlinks=true,
+ urlcolor=purple,
+ linkcolor=black,
+ citecolor=black,
+ filecolor=black
+]{hyperref} % ref and cite links with pretty colors
+\usepackage{xcolor}
+\usepackage[style=phys]{biblatex}
+
+\addbibresource{bezout.bib}
+
+\signature{
+ \vspace{-6\medskipamount}
+ \smallskip
+ Jaron Kent-Dobias \& Jorge Kurchan
+}
+
+\address{
+ Laboratoire de Physique\\
+ Ecole Normale Sup\'erieure\\
+ 24 rue Lhomond\\
+ 75005 Paris
+}
+
+\begin{document}
+\begin{letter}{
+ Editorial Office\\
+ Physical Review Letters\\
+ 1 Research Road\\
+ Ridge, NY 11961
+}
+
+\opening{To the editors of Physical Review,}
+
+We wish to appeal the decision on our manuscript \emph{How to count in
+hierarchical landscapes: A ‘full’ solution to mean-field complexity}, which was
+rejected without being sent to referees.
+
+The problem of characterizing the geometry of complex energy and cost
+landscapes is long-standing. Until this work, the correct calculation of the
+complexity has only been made for a small minority of systems, those with
+so-called replica symmetry. We show explicitly how such calculations can be
+made for the vast majority of cases.
+
+Landscape complexity even for the simple models we consider is relevant to a
+broad spectrum of physics disciplines. These models appear explicitly in modern
+research of machine learning, like tensor denoising, and understanding how
+complexity, dynamics, and equilibrium interplay in them provides powerful analogies
+and insights into emergent phenomena in more complicated contexts, from
+realistic machine learning models to the behavior of structural glasses.
+Already in this work, we identify the surprising result that the purported
+algorithmic threshold for optimization on mean-field cost functions lies
+\emph{far above} the geometric threshold traditionally understood as the dynamic limit.
+
+We urge you to allow this paper to go to referees and allow it to
+be judged by other scientists at the forefront of these fields.
+
+\closing{Sincerely,}
+
+\vspace{1em}
+
+\end{letter}
+
+\end{document}