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1 files changed, 98 insertions, 24 deletions
diff --git a/topology.bib b/topology.bib
index f28564a..716c8b2 100644
--- a/topology.bib
+++ b/topology.bib
@@ -44,7 +44,7 @@
@article{Annibale_2003_The,
author = {Annibale, Alessia and Cavagna, Andrea and Giardina, Irene and Parisi, Giorgio and Trevigne, Elisa},
- title = {The role of the {Becchi}--{Rouet}--{Stora}--{Tyutin} supersymmetry in the calculation of the complexity for the {Sherrington}--{Kirkpatrick} model},
+ title = {The role of the {Becchi--Rouet--Stora--Tyutin} supersymmetry in the calculation of the complexity for the {Sherrington--Kirkpatrick} model},
journal = {Journal of Physics A: Mathematical and General},
publisher = {IOP Publishing},
year = {2003},
@@ -72,7 +72,7 @@
@book{Audin_2014_Morse,
author = {Audin, Michèle and Damian, Mihai},
- title = {Morse theory and {Floer} homology},
+ title = {{Morse} theory and {Floer} homology},
publisher = {Springer},
year = {2014},
address = {London},
@@ -86,11 +86,10 @@
title = {The Spherical $p+s$ Spin Glass At Zero Temperature},
year = {2022},
month = {9},
- url = {http://arxiv.org/abs/2209.03866v1},
- doi = {10.48550/arXiv.2209.03866},
+ url = {http://arxiv.org/abs/2209.03866},
note = {arXiv preprint},
date = {2022-09-08T15:08:26Z},
- eprint = {2209.03866v1},
+ eprint = {2209.03866},
eprintclass = {math.PR},
eprinttype = {arxiv}
}
@@ -139,18 +138,47 @@
issn = {2470-0053}
}
+@article{BenArous_2019_Geometry,
+ author = {Ben Arous, Gérard and Subag, Eliran and Zeitouni, Ofer},
+ title = {Geometry and Temperature Chaos in Mixed Spherical Spin Glasses at Low Temperature: The Perturbative Regime},
+ journal = {Communications on Pure and Applied Mathematics},
+ publisher = {Wiley},
+ year = {2019},
+ month = {11},
+ number = {8},
+ volume = {73},
+ pages = {1732--1828},
+ url = {https://doi.org/10.1002%2Fcpa.21875},
+ doi = {10.1002/cpa.21875}
+}
+
@unpublished{Beneventano_2023_On,
author = {Beneventano, Pierfrancesco},
title = {On the Trajectories of {SGD} Without Replacement},
year = {2023},
month = {dec},
- url = {http://arxiv.org/abs/2312.16143v2},
+ url = {http://arxiv.org/abs/2312.16143},
+ note = {arXiv preprint},
archiveprefix = {arXiv},
- eprint = {2312.16143v2},
+ eprint = {2312.16143},
eprintclass = {cs.LG},
eprinttype = {arxiv}
}
+@article{Bray_1980_Metastable,
+ author = {Bray, A J and Moore, M A},
+ title = {Metastable states in spin glasses},
+ journal = {Journal of Physics C: Solid State Physics},
+ publisher = {IOP Publishing},
+ year = {1980},
+ month = {7},
+ number = {19},
+ volume = {13},
+ pages = {L469--L476},
+ url = {https://doi.org/10.1088%2F0022-3719%2F13%2F19%2F002},
+ doi = {10.1088/0022-3719/13/19/002}
+}
+
@article{Castellani_2005_Spin-glass,
author = {Castellani, Tommaso and Cavagna, Andrea},
title = {Spin-glass theory for pedestrians},
@@ -179,6 +207,20 @@
doi = {10.1007/bf01309287}
}
+@article{Crisanti_1995_Thouless-Anderson-Palmer,
+ author = {Crisanti, A. and Sommers, H.-J.},
+ title = {{Thouless-Anderson-Palmer} Approach to the Spherical $p$-Spin Spin Glass Model},
+ journal = {Journal de Physique I},
+ publisher = {EDP Sciences},
+ year = {1995},
+ month = {7},
+ number = {7},
+ volume = {5},
+ pages = {805--813},
+ url = {https://doi.org/10.1051/jp1:1995164},
+ doi = {10.1051/jp1:1995164}
+}
+
@article{Crisanti_2004_Spherical,
author = {Crisanti, A. and Leuzzi, L.},
title = {Spherical $2+p$ Spin-Glass Model: An Exactly Solvable Model for Glass to Spin-Glass Transition},
@@ -221,7 +263,7 @@
@article{Erba_2024_Quenches,
author = {Erba, Vittorio and Behrens, Freya and Krzakala, Florent and Zdeborová, Lenka},
- title = {Quenches in the {Sherrington}–{Kirkpatrick} model},
+ title = {Quenches in the {Sherrington–Kirkpatrick} model},
journal = {Journal of Statistical Mechanics: Theory and Experiment},
publisher = {IOP Publishing},
year = {2024},
@@ -384,8 +426,8 @@
title = {Algebraic topology},
publisher = {Cambridge University Press},
year = {2002},
- address = {Cambridge ; New York},
- isbn = {9780521791601 9780521795401},
+ address = {Cambridge},
+ isbn = {9780521791601},
keyword = {Algebraic topology}
}
@@ -422,10 +464,10 @@
title = {Stochastic Gradient Descent outperforms Gradient Descent in recovering a high-dimensional signal in a glassy energy landscape},
year = {2023},
month = {sep},
- url = {http://arxiv.org/abs/2309.04788v2},
- note = {},
+ url = {http://arxiv.org/abs/2309.04788},
+ note = {arXiv preprint},
archiveprefix = {arXiv},
- eprint = {2309.04788v2},
+ eprint = {2309.04788},
eprintclass = {cs.LG},
eprinttype = {arxiv}
}
@@ -463,16 +505,33 @@
title = {Algorithm-independent bounds on complex optimization through the statistics of marginal optima},
year = {2024},
url = {https://arxiv.org/abs/2407.02092},
+ note = {arXiv preprint},
archiveprefix = {arXiv},
eprint = {2407.02092},
primaryclass = {cond-mat.dis-nn}
}
+@article{Kent-Dobias_2024_Arrangement,
+ author = {Kent-Dobias, Jaron},
+ title = {Arrangement of nearby minima and saddles in the mixed spherical energy landscapes},
+ journal = {SciPost Physics},
+ publisher = {Stichting SciPost},
+ year = {2024},
+ month = {1},
+ number = {1},
+ volume = {16},
+ pages = {001},
+ url = {http://dx.doi.org/10.21468/SciPostPhys.16.1.001},
+ doi = {10.21468/scipostphys.16.1.001},
+ issn = {2542-4653}
+}
+
@unpublished{Kent-Dobias_2024_Conditioning,
author = {Kent-Dobias, Jaron},
title = {Conditioning the complexity of random landscapes on marginal optima},
year = {2024},
url = {https://arxiv.org/abs/2407.02082},
+ note = {arXiv preprint},
archiveprefix = {arXiv},
eprint = {2407.02082},
primaryclass = {cond-mat.dis-nn}
@@ -498,10 +557,10 @@
title = {Solving overparametrized systems of random equations: I. Model and algorithms for approximate solutions},
year = {2023},
month = {jun},
- url = {http://arxiv.org/abs/2306.13326v1},
- note = {},
+ url = {http://arxiv.org/abs/2306.13326},
+ note = {arXiv preprint},
archiveprefix = {arXiv},
- eprint = {2306.13326v1},
+ eprint = {2306.13326},
eprintclass = {math.PR},
eprinttype = {arxiv}
}
@@ -511,14 +570,28 @@
title = {On {Smale}'s 17th problem over the reals},
year = {2024},
month = {may},
- url = {http://arxiv.org/abs/2405.01735v1},
- note = {},
+ url = {http://arxiv.org/abs/2405.01735},
+ note = {arXiv preprint},
archiveprefix = {arXiv},
- eprint = {2405.01735v1},
+ eprint = {2405.01735},
eprintclass = {cs.DS},
eprinttype = {arxiv}
}
+@article{Muller_2006_Marginal,
+ author = {Müller, Markus and Leuzzi, Luca and Crisanti, Andrea},
+ title = {Marginal states in mean-field glasses},
+ journal = {Physical Review B},
+ publisher = {American Physical Society (APS)},
+ year = {2006},
+ month = {10},
+ number = {13},
+ volume = {74},
+ pages = {134431},
+ url = {https://doi.org/10.1103%2Fphysrevb.74.134431},
+ doi = {10.1103/physrevb.74.134431}
+}
+
@article{Rice_1939_The,
author = {Rice, S. O.},
title = {The Distribution of the Maxima of a Random Curve},
@@ -577,10 +650,10 @@
title = {Statistical physics of complex systems: glasses, spin glasses, continuous constraint satisfaction problems, high-dimensional inference and neural networks},
year = {2024},
month = {may},
- url = {http://arxiv.org/abs/2405.06384v1},
- note = {},
+ url = {http://arxiv.org/abs/2405.06384},
+ note = {arXiv preprint},
archiveprefix = {arXiv},
- eprint = {2405.06384v1},
+ eprint = {2405.06384},
eprintclass = {cond-mat.dis-nn},
eprinttype = {arxiv}
}
@@ -590,9 +663,10 @@
title = {Random Linear Systems with Quadratic Constraints: from Random Matrix Theory to replicas and back},
year = {2024},
month = {jan},
- url = {http://arxiv.org/abs/2401.03209v2},
+ url = {http://arxiv.org/abs/2401.03209},
+ note = {arXiv preprint},
archiveprefix = {arXiv},
- eprint = {2401.03209v2},
+ eprint = {2401.03209},
eprintclass = {cond-mat.stat-mech},
eprinttype = {arxiv}
}