From e42d569001f3f20dc7b3c49cd159b710cc654e68 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Fri, 20 Jan 2023 19:10:31 +0100 Subject: New response. --- response.txt | 102 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 102 insertions(+) create mode 100644 response.txt diff --git a/response.txt b/response.txt new file mode 100644 index 0000000..e9337dd --- /dev/null +++ b/response.txt @@ -0,0 +1,102 @@ + +Because neither referee addressed the scientific content of our paper, +nor substantively addressed its presentation, we have not submitted a +revised manuscript. Below, we respond to the referees' comments. + +Report of Referee A -- LY17256/Kent-Dobias +> The authors consider spin glass models with mixed p-spin interactions +> on the N-Sphere and calculate the number of stationary points, the +> logarithm of which yields the complexity. The disorder average of this +> logarithm is computed with the replica trick, and for different model +> variants different replica symmetry breaking (RSB) solutions are +> obtained. A new feature of the solutions, in contrast to previous +> replica symmetric calculations, is that RSB must occur in parts of the +> energy-stability phase diagram. +> +> The paper is clearly written although the content is rather technical +> and probably only accessible to experts in mean field spin glass +> models and the different RSB schemes developed in this field. In +> connection with the well-studied p=3 spin glass model it is briefly +> mentioned that the complexity and its transitions as a function of +> energy and/or stability is relevant for the equilibrium and the +> dynamical behavior of this model – but such a connection has not been +> made here. +> +> Therefore, I feel that the results presented here are only interesting +> for group of experts and I do not assess the finding that the +> complexity of mixed p-spin glass models shows RSB as a major +> breakthrough in the field. Therefore, the manuscript is not suitable +> for publication in Phys. Rev. Lett., and the publication of the +> accompanying longer paper, submitted to PRE, is sufficient to +> disseminate the results summarized in this manuscript. + +Referee A says that our paper is clearly written but technical, and +that its topic of "the different RSB schemes" are not suitable for a +broad audience. This is surprising to the authors, since a quick +search on Google Scholar reveals several recent PRLs with heavy use of +RSB schemes. + +Referee A correctly points out that one new feature of the solutions +outlined in our manuscript is that RSB must occur in parts of the +phase diagram for these models. However, they neglect another feature: +that they are the solutions of the *quenched* complexity, which has +not been correctly calculated until now. We agree with the referee +that "the complexity of the mixed p-spin glass models" is not a major +breakthrough in and of itself, but believe that the technique for +computing the quenched complexity is a major breakthrough. Just +because this new technique is demonstrated on the simplest toy models +should not discount its importance and potential. + +Referee A states that a connection between the complexity and the +equilibrium and dynamical behavior is not made in our paper. Until +recently, this connection was taken for granted, and the demonstration +that the standard correspondence does not hold in the mixed p-spin +spherical models was exciting enough news to be published in PRX 10, +031045 (2020). It is true that our work doesn't solve the problem that +paper opened, but it does deepen it by showing definitively that the +use of RSB and the quenched complexity are not sufficient to +reestablish a landscape–dynamics connection. We disagree with the +referee's implicit assertion that only clean resolutions, and not the +compelling deepening of problems, are worthy of a broad audience. + +Report of Referee B -- LY17256/Kent-Dobias +> The paper presents a computation of the complexity in spherical +> spin-glass models. Neither the techniques nor the results are +> sufficiently new and relevant to justify publication on PRL. This is +> not surprising given that the topic has been studied extensively in +> the last thirty years and more, the only novelty with respect to +> previous work is that the results are obtained at zero temperature but +> this is definitively not enough. Essential open problems in the field +> involves dynamics and activated processes and some results have +> appeared recently, instead the analysis of the static landscape, to +> which the present paper is a variation, failed to deliver answers to +> these questions up to now. +> +> I recommend that the paper is not published in PRL while the companion +> paper is worth publishing on PRE. + +We disagree with the statement of Referee B that "the only novelty +with respect to previous work is that the results are obtained at zero +temperature". For a system where the quenched and annealed +complexities differ, there has not been a correct calculation of the +quenched complexity at finite temperature. (and, besides our work, +only once or twice at zero temperature, e.g., PRX 9, 011003 (2019).) +Rejecting a paper based on a severe misconception of its contents or +of the state of the field is not appropriate. + +We agree with Referee B's assessment of "[e]ssential open problems in +the field," and agree that our work does not deliver answers. However, +delivering answers for essential open problems is not the acceptance +criterion of PRL. These are + + - Open a new research area, or a new avenue within an established area. + - Solve, or make essential steps towards solving, a critical problem. + - Introduce techniques or methods with significant impact. + - Be of unusual intrinsic interest to PRL's broad audience. + +We believe our manuscript makes essential steps toward solving the +critical problem of connecting analysis of the static landscape to +dynamics. We believe that its essential step is through the +introduction of a new technique, calculation of the quenched +complexity, which we believe will have significant impact as it is +applied to more complicated models. -- cgit v1.2.3-70-g09d2