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| diff --git a/appeal.tex b/appeal.tex new file mode 100644 index 0000000..dce7fee --- /dev/null +++ b/appeal.tex @@ -0,0 +1,70 @@ +\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, no correct calculation had been +made for the complexity of systems without a so-called replica symmetric +solution, which represent an small minority of systems. 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} | 
