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@article{Annibale_2003_Supersymmetric,
 author = {Annibale, Alessia and Cavagna, Andrea and Giardina, Irene and Parisi, Giorgio},
 title = {Supersymmetric complexity in the {Sherrington}-{Kirkpatrick} model},
 journal = {Physical Review E},
 publisher = {American Physical Society (APS)},
 year = {2003},
 month = {12},
 number = {6},
 volume = {68},
 pages = {061103},
 url = {https://doi.org/10.1103%2Fphysreve.68.061103},
 doi = {10.1103/physreve.68.061103}
}

@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},
 journal = {Journal of Physics A: Mathematical and General},
 publisher = {IOP Publishing},
 year = {2003},
 month = {10},
 number = {43},
 volume = {36},
 pages = {10937--10953},
 url = {https://doi.org/10.1088%2F0305-4470%2F36%2F43%2F018},
 doi = {10.1088/0305-4470/36/43/018}
}

@article{Annibale_2004_Coexistence,
 author = {Annibale, Alessia and Gualdi, Giulia and Cavagna, Andrea},
 title = {Coexistence of supersymmetric and supersymmetry-breaking states in spherical spin-glasses},
 journal = {Journal of Physics A: Mathematical and General},
 publisher = {IOP Publishing},
 year = {2004},
 month = {11},
 number = {47},
 volume = {37},
 pages = {11311--11320},
 url = {https://doi.org/10.1088%2F0305-4470%2F37%2F47%2F001},
 doi = {10.1088/0305-4470/37/47/001}
}

@article{Baldassi_2016_Unreasonable,
 author = {Baldassi, Carlo and Borgs, Christian and Chayes, Jennifer T. and Ingrosso, Alessandro and Lucibello, Carlo and Saglietti, Luca and Zecchina, Riccardo},
 title = {Unreasonable effectiveness of learning neural networks: From accessible states and robust ensembles to basic algorithmic schemes},
 journal = {Proceedings of the National Academy of Sciences},
 publisher = {Proceedings of the National Academy of Sciences},
 year = {2016},
 month = {11},
 number = {48},
 volume = {113},
 pages = {E7655--E7662},
 url = {http://dx.doi.org/10.1073/pnas.1608103113},
 doi = {10.1073/pnas.1608103113},
 issn = {1091-6490}
}

@article{Baldassi_2021_Unveiling,
 author = {Baldassi, Carlo and Lauditi, Clarissa and Malatesta, Enrico M. and Perugini, Gabriele and Zecchina, Riccardo},
 title = {Unveiling the Structure of Wide Flat Minima in Neural Networks},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2021},
 month = {12},
 number = {27},
 volume = {127},
 pages = {278301},
 url = {http://dx.doi.org/10.1103/PhysRevLett.127.278301},
 doi = {10.1103/physrevlett.127.278301},
 issn = {1079-7114}
}

@article{Baldassi_2023_Typical,
 author = {Baldassi, Carlo and Malatesta, Enrico M. and Perugini, Gabriele and Zecchina, Riccardo},
 title = {Typical and atypical solutions in nonconvex neural networks with discrete and continuous weights},
 journal = {Physical Review E},
 publisher = {American Physical Society (APS)},
 year = {2023},
 month = {August},
 number = {2},
 volume = {108},
 pages = {024310},
 url = {http://dx.doi.org/10.1103/PhysRevE.108.024310},
 doi = {10.1103/physreve.108.024310},
 issn = {2470-0053}
}

@article{Bates_2022_Crisanti-Sommers,
 author = {Bates, Erik and Sohn, Youngtak},
 title = {{Crisanti}{Sommers} Formula and Simultaneous Symmetry Breaking in Multi-species Spherical Spin Glasses},
 journal = {Communications in Mathematical Physics},
 publisher = {Springer Science and Business Media LLC},
 year = {2022},
 month = {June},
 number = {3},
 volume = {394},
 pages = {1101--1152},
 url = {http://dx.doi.org/10.1007/s00220-022-04421-x},
 doi = {10.1007/s00220-022-04421-x},
 issn = {1432-0916}
}

@article{Bates_2022_Free,
 author = {Bates, Erik and Sohn, Youngtak},
 title = {Free energy in multi-species mixed {$p$}-spin spherical models},
 journal = {Electronic Journal of Probability},
 publisher = {Institute of Mathematical Statistics},
 year = {2022},
 month = {January},
 number = {52},
 volume = {27},
 pages = {1--75},
 url = {http://dx.doi.org/10.1214/22-EJP780},
 doi = {10.1214/22-ejp780},
 issn = {1083-6489}
}

@article{Biroli_2013_Perspective,
 author = {Biroli, Giulio and Garrahan, Juan P.},
 title = {Perspective: The glass transition},
 journal = {The Journal of Chemical Physics},
 publisher = {AIP Publishing},
 year = {2013},
 month = {March},
 number = {12},
 volume = {138},
 pages = {12A301},
 url = {http://dx.doi.org/10.1063/1.4795539},
 doi = {10.1063/1.4795539},
 issn = {1089-7690}
}

@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},
 publisher = {American Physical Society (APS)},
 year = {2007},
 month = {4},
 number = {15},
 volume = {98},
 pages = {150201},
 url = {https://doi.org/10.1103%2Fphysrevlett.98.150201},
 doi = {10.1103/physrevlett.98.150201}
}

@unpublished{Catania_2024_The,
 author = {Catania, Giovanni and Decelle, Aurélien and Seoane, Beatriz},
 title = {The Copycat Perceptron: Smashing Barriers Through Collective Learning},
 url = {https://arxiv.org/abs/2308.03743},
 archiveprefix = {arXiv},
 eprint = {2308.03743},
 primaryclass = {cond-mat.dis-nn}
}

@article{Cavagna_1997_An,
 author = {Cavagna, Andrea and Giardina, Irene and Parisi, Giorgio},
 title = {An investigation of the hidden structure of states in a mean-field spin-glass model},
 journal = {Journal of Physics A: Mathematical and General},
 publisher = {IOP Publishing},
 year = {1997},
 month = {10},
 number = {20},
 volume = {30},
 pages = {7021--7038},
 url = {https://doi.org/10.1088%2F0305-4470%2F30%2F20%2F009},
 doi = {10.1088/0305-4470/30/20/009}
}

@article{Crisanti_1993_The,
 author = {Crisanti, A. and Horner, H. and Sommers, H.-J.},
 title = {The spherical $p$-spin interaction spin-glass model},
 journal = {Zeitschrift für Physik B Condensed Matter},
 publisher = {Springer Science and Business Media LLC},
 year = {1993},
 month = {6},
 number = {2},
 volume = {92},
 pages = {257--271},
 url = {https://doi.org/10.1007%2Fbf01312184},
 doi = {10.1007/bf01312184}
}

@article{Dean_2006_Large,
 author = {Dean, David S. and Majumdar, Satya N.},
 title = {Large Deviations of Extreme Eigenvalues of Random Matrices},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2006},
 month = {October},
 number = {16},
 volume = {97},
 pages = {160201},
 url = {http://dx.doi.org/10.1103/PhysRevLett.97.160201},
 doi = {10.1103/physrevlett.97.160201},
 issn = {1079-7114}
}

@book{DeWitt_1992_Supermanifolds,
 author = {DeWitt, Bryce S.},
 title = {Supermanifolds},
 publisher = {Cambridge University Press},
 year = {1992},
 address = {Cambridge ; New York},
 edition = {2nd ed},
 isbn = {9780521413206 9780521423779},
 keyword = {Supermanifolds (Mathematics), Mathematical physics},
 series = {Cambridge monographs on mathematical physics}
}

@unpublished{ElAlaoui_2020_Algorithmic,
 author = {El Alaoui, Ahmed and Montanari, Andrea},
 title = {Algorithmic Thresholds in Mean Field Spin Glasses},
 year = {2020},
 month = {Sept},
 url = {http://arxiv.org/abs/2009.11481v1},
 archiveprefix = {arXiv},
 date = {2020-09-24T04:22:42Z},
 eprint = {2009.11481v1},
 eprintclass = {cond-mat.stat-mech},
 eprinttype = {arxiv},
 primaryclass = {cond-mat.stat-mech}
}

@article{ElAlaoui_2021_Optimization,
 author = {El Alaoui, Ahmed and Montanari, Andrea and Sellke, Mark},
 title = {Optimization of mean-field spin glasses},
 journal = {The Annals of Probability},
 publisher = {Institute of Mathematical Statistics},
 year = {2021},
 month = {11},
 number = {6},
 volume = {49},
 pages = {2922--2960},
 url = {https://doi.org/10.1214%2F21-aop1519},
 doi = {10.1214/21-aop1519}
}

@inproceedings{ElAlaoui_2022_Sampling,
 author = {El Alaoui, Ahmed and Montanari, Andrea and Sellke, Mark},
 title = {Sampling from the {Sherrington}-{Kirkpatrick} Gibbs measure via algorithmic stochastic localization},
 publisher = {IEEE},
 year = {2022},
 month = {10},
 pages = {323--334},
 url = {https://doi.org/10.1109%2Ffocs54457.2022.00038},
 doi = {10.1109/focs54457.2022.00038},
 address = {Denver, CO, USA},
 booktitle = {2022 IEEE 63rd Annual Symposium on Foundations of Computer Science (FOCS)}
}

@article{Foini_2012_On,
 author = {Foini, Laura and Krzakala, Florent and Zamponi, Francesco},
 title = {On the relation between kinetically constrained models of glass dynamics and the random first-order transition theory},
 journal = {Journal of Statistical Mechanics: Theory and Experiment},
 publisher = {IOP Publishing},
 year = {2012},
 month = {June},
 number = {06},
 volume = {2012},
 pages = {P06013},
 url = {http://dx.doi.org/10.1088/1742-5468/2012/06/P06013},
 doi = {10.1088/1742-5468/2012/06/p06013},
 issn = {1742-5468}
}

@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_2021_Gradient,
 author = {Folena, Giampaolo and Franz, Silvio and Ricci-Tersenghi, Federico},
 title = {Gradient descent dynamics in the mixed $p$-spin spherical model: finite-size simulations and comparison with mean-field integration},
 journal = {Journal of Statistical Mechanics: Theory and Experiment},
 publisher = {IOP Publishing},
 year = {2021},
 month = {3},
 number = {3},
 volume = {2021},
 pages = {033302},
 url = {https://doi.org/10.1088%2F1742-5468%2Fabe29f},
 doi = {10.1088/1742-5468/abe29f}
}

@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}
}

@misc{Gael_2010_Eigen,
 author = {Guennebaud, Gaël and Jacob, Benoît and others, },
 title = {Eigen v3},
 year = {2010},
 howpublished = {http://eigen.tuxfamily.org}
}

@article{Gamarnik_2021-01_The,
 author = {Gamarnik, David and Jagannath, Aukosh},
 title = {The overlap gap property and approximate message passing algorithms for $p$-spin models},
 journal = {The Annals of Probability},
 publisher = {Institute of Mathematical Statistics},
 year = {2021},
 month = {January},
 number = {1},
 volume = {49},
 pages = {180--205},
 url = {http://dx.doi.org/10.1214/20-AOP1448},
 doi = {10.1214/20-aop1448},
 issn = {0091-1798}
}

@article{Gamarnik_2021-10_The,
 author = {Gamarnik, David},
 title = {The overlap gap property: A topological barrier to optimizing over random structures},
 journal = {Proceedings of the National Academy of Sciences},
 publisher = {Proceedings of the National Academy of Sciences},
 year = {2021},
 month = {October},
 number = {41},
 volume = {118},
 pages = {e2108492118},
 url = {http://dx.doi.org/10.1073/pnas.2108492118},
 doi = {10.1073/pnas.2108492118},
 issn = {1091-6490}
}

@article{Gamarnik_2022_Disordered,
 author = {Gamarnik, David and Moore, Cristopher and Zdeborová, Lenka},
 title = {Disordered systems insights on computational hardness},
 journal = {Journal of Statistical Mechanics: Theory and Experiment},
 publisher = {IOP Publishing},
 year = {2022},
 month = {November},
 number = {11},
 volume = {2022},
 pages = {114015},
 url = {http://dx.doi.org/10.1088/1742-5468/ac9cc8},
 doi = {10.1088/1742-5468/ac9cc8},
 issn = {1742-5468}
}

@phdthesis{Huang_2022_Computational,
 author = {Huang, Brice},
 title = {Computational Hardness in Random Optimization Problems from the Overlap Gap Property},
 year = {2022},
 month = {June},
 url = {https://hdl.handle.net/1721.1/143164},
 school = {Massachusetts Institute of Technology}
}

@unpublished{Huang_2023_Algorithmic,
 author = {Huang, Brice and Sellke, Mark},
 title = {Algorithmic Threshold for Multi-Species Spherical Spin Glasses},
 year = {2023},
 month = {mar},
 url = {http://arxiv.org/abs/2303.12172v2},
 archiveprefix = {arXiv},
 date = {2023-03-21T20:09:08Z},
 eprint = {2303.12172v2},
 eprintclass = {math.PR},
 eprinttype = {arxiv},
 urldate = {2024-06-13T13:10:56.404805Z}
}

@unpublished{Huang_2023_Strong,
 author = {Huang, Brice and Sellke, Mark},
 title = {Strong Topological Trivialization of Multi-Species Spherical Spin Glasses},
 year = {2023},
 month = {aug},
 url = {http://arxiv.org/abs/2308.09677v2},
 archiveprefix = {arXiv},
 date = {2023-08-18T16:56:19Z},
 eprint = {2308.09677v2},
 eprintclass = {math.PR},
 eprinttype = {arxiv},
 urldate = {2024-06-13T13:07:13.561947Z}
}

@article{Huang_2024_Optimization,
 author = {Huang, Brice and Sellke, Mark},
 title = {Optimization Algorithms for Multi-species Spherical Spin Glasses},
 journal = {Journal of Statistical Physics},
 publisher = {Springer Science and Business Media LLC},
 year = {2024},
 month = {February},
 number = {2},
 volume = {191},
 pages = {29},
 url = {http://dx.doi.org/10.1007/s10955-024-03242-7},
 doi = {10.1007/s10955-024-03242-7},
 issn = {1572-9613}
}

@article{Ikeda_2023_Bose-Einstein-like,
 author = {Ikeda, Harukuni},
 title = {{Bose}--{Einstein}-like condensation of deformed random matrix: a replica approach},
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@unpublished{Kent-Dobias_2024_Algorithm-independent,
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 author = {Ros, Valentina and Fyodorov, Yan V.},
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 url = {http://arxiv.org/abs/2111.07132v1},
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