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@article{Bray_2007_Statistics,
author = {Bray, Alan J. and Dean, David S.},
title = {Statistics of Critical Points of {Gaussian} Fields on Large-Dimensional Spaces},
journal = {Physical Review Letters},
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}
@article{Folena_2020_Rethinking,
author = {Folena, Giampaolo and Franz, Silvio and Ricci-Tersenghi, Federico},
title = {Rethinking Mean-Field Glassy Dynamics and Its Relation with the Energy Landscape: The Surprising Case of the Spherical Mixed $p$-Spin Model},
journal = {Physical Review X},
publisher = {American Physical Society},
year = {2020},
month = {8},
volume = {10},
pages = {031045},
url = {https://link.aps.org/doi/10.1103/PhysRevX.10.031045},
doi = {10.1103/PhysRevX.10.031045},
issue = {3},
numpages = {26}
}
@article{Folena_2023_On,
author = {Folena, Giampaolo and Zamponi, Francesco},
title = {On weak ergodicity breaking in mean-field spin glasses},
journal = {SciPost Physics},
publisher = {Stichting SciPost},
year = {2023},
month = {9},
number = {3},
volume = {15},
pages = {109},
url = {https://doi.org/10.21468%2Fscipostphys.15.3.109},
doi = {10.21468/scipostphys.15.3.109}
}
@article{Fyodorov_2020_Counting,
author = {Fyodorov, Y. V. and Tublin, R.},
title = {Counting Stationary Points of the Loss Function in the Simplest Constrained Least-square Optimization},
journal = {Acta Physica Polonica B},
publisher = {Jagiellonian University},
year = {2020},
number = {7},
volume = {51},
pages = {1663},
url = {http://dx.doi.org/10.5506/APhysPolB.51.1663},
doi = {10.5506/aphyspolb.51.1663},
issn = {1509-5770}
}
@article{Fyodorov_2022_Optimization,
author = {Fyodorov, Yan V and Tublin, Rashel},
title = {Optimization landscape in the simplest constrained random least-square problem},
journal = {Journal of Physics A: Mathematical and Theoretical},
publisher = {IOP Publishing},
year = {2022},
month = {May},
number = {24},
volume = {55},
pages = {244008},
url = {http://dx.doi.org/10.1088/1751-8121/ac6d8e},
doi = {10.1088/1751-8121/ac6d8e},
issn = {1751-8121}
}
@article{Ikeda_2023_Bose-Einstein-like,
author = {Ikeda, Harukuni},
title = {{Bose}--{Einstein}-like condensation of deformed random matrix: a replica approach},
journal = {Journal of Statistical Mechanics: Theory and Experiment},
publisher = {IOP Publishing},
year = {2023},
month = {2},
number = {2},
volume = {2023},
pages = {023302},
url = {https://doi.org/10.1088%2F1742-5468%2Facb7d6},
doi = {10.1088/1742-5468/acb7d6}
}
@article{Kamali_2023_Dynamical,
author = {Kamali, Persia Jana and Urbani, Pierfrancesco},
title = {Dynamical mean field theory for models of confluent tissues and beyond},
journal = {SciPost Physics},
publisher = {Stichting SciPost},
year = {2023},
month = {November},
number = {5},
volume = {15},
pages = {219},
url = {http://dx.doi.org/10.21468/SciPostPhys.15.5.219},
doi = {10.21468/scipostphys.15.5.219},
issn = {2542-4653}
}
@unpublished{Kamali_2023_Stochastic,
author = {Kamali, Persia Jana and Urbani, Pierfrancesco},
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},
archiveprefix = {arXiv},
eprint = {2309.04788v2},
eprintclass = {cs.LG},
eprinttype = {arxiv}
}
@article{Kent-Dobias_2023_How,
author = {Kent-Dobias, Jaron and Kurchan, Jorge},
title = {How to count in hierarchical landscapes: a full solution to mean-field complexity},
journal = {Physical Review E},
publisher = {American Physical Society (APS)},
year = {2023},
month = {6},
number = {6},
volume = {107},
pages = {064111},
url = {https://doi.org/10.1103/PhysRevE.107.064111},
doi = {10.1103/PhysRevE.107.064111}
}
@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}
}
@article{Kurchan_1992_Supersymmetry,
author = {Kurchan, J.},
title = {Supersymmetry in spin glass dynamics},
journal = {Journal de Physique I},
publisher = {EDP Sciences},
year = {1992},
month = {7},
number = {7},
volume = {2},
pages = {1333--1352},
url = {https://doi.org/10.1051%2Fjp1%3A1992214},
doi = {10.1051/jp1:1992214}
}
@article{Monasson_1995_Structural,
author = {Monasson, Rémi},
title = {Structural Glass Transition and the Entropy of the Metastable States},
journal = {Physical Review Letters},
publisher = {American Physical Society (APS)},
year = {1995},
month = {10},
number = {15},
volume = {75},
pages = {2847--2850},
url = {https://doi.org/10.1103%2Fphysrevlett.75.2847},
doi = {10.1103/physrevlett.75.2847}
}
@unpublished{Montanari_2023_Solving,
author = {Montanari, Andrea and Subag, Eliran},
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},
archiveprefix = {arXiv},
eprint = {2306.13326v1},
eprintclass = {math.PR},
eprinttype = {arxiv}
}
@unpublished{Montanari_2024_On,
author = {Montanari, Andrea and Subag, Eliran},
title = {On {Smale}'s 17th problem over the reals},
year = {2024},
month = {may},
url = {http://arxiv.org/abs/2405.01735v1},
archiveprefix = {arXiv},
eprint = {2405.01735v1},
eprintclass = {cs.DS},
eprinttype = {arxiv}
}
@phdthesis{Tublin_2022_A,
author = {Tublin, Rashel},
title = {A Few Results in Random Matrix Theory and Random Optimization},
year = {2022},
month = {September},
url = {https://kclpure.kcl.ac.uk/portal/en/studentTheses/a-few-results-in-random-matrix-theory-and-random-optimization},
school = {King's College London}
}
@article{Urbani_2023_A,
author = {Urbani, Pierfrancesco},
title = {A continuous constraint satisfaction problem for the rigidity transition in confluent tissues},
journal = {Journal of Physics A: Mathematical and Theoretical},
publisher = {IOP Publishing},
year = {2023},
month = {February},
number = {11},
volume = {56},
pages = {115003},
url = {http://dx.doi.org/10.1088/1751-8121/acb742},
doi = {10.1088/1751-8121/acb742},
issn = {1751-8121}
}
@unpublished{Urbani_2024_Statistical,
author = {Urbani, Pierfrancesco},
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},
archiveprefix = {arXiv},
eprint = {2405.06384v1},
eprintclass = {cond-mat.dis-nn},
eprinttype = {arxiv}
}
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