From 0887d716415e8b20cb0ee3b65ca3bb9255706bdb Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Tue, 11 Mar 2025 10:40:42 -0300 Subject: Updated funding information --- topology.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) (limited to 'topology.tex') diff --git a/topology.tex b/topology.tex index f89a6ca..0edd478 100644 --- a/topology.tex +++ b/topology.tex @@ -855,7 +855,7 @@ topics, and Giampaolo Folena for supplying his \textsc{dmft} data for the spherical spin glasses. \paragraph{Funding information} -JK-D is supported by a \textsc{DynSysMath} Specific Initiative of the INFN. +JK-D is supported by FAPESP Young Investigator Grant No.~2024/11114-1. JK-D also received support from the Simons Foundation Targeted Grant to ICTP-SAIFR and a \textsc{DynSysMath} Specific Initiative of the INFN. \appendix -- cgit v1.2.3-70-g09d2 From 155a3fd57c53268b44ca2a22763b35992ef1f821 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Tue, 11 Mar 2025 10:54:52 -0300 Subject: More bibliography tweaks --- topology.bib | 8 ++++---- topology.tex | 8 ++++---- 2 files changed, 8 insertions(+), 8 deletions(-) (limited to 'topology.tex') diff --git a/topology.bib b/topology.bib index 74cb7e0..bf5b2e8 100644 --- a/topology.bib +++ b/topology.bib @@ -675,19 +675,19 @@ eprinttype = {arxiv} } -@inproceedings{Mannelli_2019_Who, +@inproceedings{SaraoMannelli_2019_Who, author = {Sarao Mannelli, Stefano and Biroli, Giulio and Cammarota, Chiara and Krzakala, Florent and Zdeborová, Lenka}, - title = {Who is Afraid of Big Bad Minima? Analysis of gradient-flow in spiked matrix-tensor models}, + title = {Who is Afraid of Big Bad Minima? {A}nalysis of gradient-flow in spiked matrix-tensor models}, publisher = {Curran Associates, Inc.}, year = {2019}, volume = {32}, pages = {}, url = {https://proceedings.neurips.cc/paper_files/paper/2019/file/fbad540b2f3b5638a9be9aa6a4d8e450-Paper.pdf}, booktitle = {Advances in Neural Information Processing Systems}, - editor = {Wallach, H. and Larochelle, H. and Beygelzimer, A. and Alché-Buc, F. d' and Fox, E. and Garnett, R.} + editor = {Wallach, H. and Larochelle, H. and Beygelzimer, A. and d'Alché-Buc, F. and Fox, E. and Garnett, R.} } -@inproceedings{Mannelli_2019_Passed, +@inproceedings{SaraoMannelli_2019_Passed, author = {Sarao Mannelli, Stefano and Krzakala, Florent and Urbani, Pierfrancesco and Zdeborová, Lenka}, title = {Passed \& Spurious: Descent Algorithms and Local Minima in Spiked Matrix-Tensor Models}, publisher = {PMLR}, diff --git a/topology.tex b/topology.tex index 0edd478..fcf99c7 100644 --- a/topology.tex +++ b/topology.tex @@ -793,20 +793,20 @@ Finally, a common extension of the spherical spin glasses is to add a deterministic piece to the energy, sometimes called a signal or a spike. Recent work argued that gradient descent can avoid being trapped in marginal minima and reach the vicinity of the signal if the set of trapping marginal minima has -been destabilized by the presence of the signal \cite{Mannelli_2019_Passed, -Mannelli_2019_Who}. The authors of Ref.~\cite{Mannelli_2019_Who} +been destabilized by the presence of the signal \cite{SaraoMannelli_2019_Passed, +SaraoMannelli_2019_Who}. The authors of Ref.~\cite{SaraoMannelli_2019_Who} conjecture based on \textsc{dmft} data for $2+3$ mixed spherical spin glasses that the trapping marginal minima are those at the traditional threshold energy $E_\text{th}$. However, Ref.~\cite{Folena_2023_On} demonstrated that in mixed $p+s$ spherical spin glasses with small $p$ and $s$, the difference between $E_\text{th}$ and the true trapping energy is difficult to resolve with the current precision of \textsc{dmft} integration schemes. Therefore, -the authors of Ref.~\cite{Mannelli_2019_Who} may have incorrectly conflated the +the authors of Ref.~\cite{SaraoMannelli_2019_Who} may have incorrectly conflated the threshold with the trapping marginal minima, and that the correct set of marginal minima that must be destabilized to reach a signal might be the same set that trap dynamics in the signal-free model. This paper conjectures that the important trapping minima are those at the shattering energy. Comparing the predictions of -Ref.~\cite{Mannelli_2019_Who} to \textsc{dmft} simulations of a model with +Ref.~\cite{SaraoMannelli_2019_Who} to \textsc{dmft} simulations of a model with better separation between $p$ and $s$ would help resolve this issue. \section{Conclusion} -- cgit v1.2.3-70-g09d2