@inbook{Anderson_1984_Lectures,
 author = {Anderson, Philip W.},
 title = {Lectures on amorphous systems},
 publisher = {North-Holland Publishing Company},
 year = {1984},
 month = {March},
 pages = {159--261},
 url = {http://dx.doi.org/10.1142/9789814412728_0003},
 doi = {10.1142/9789814412728_0003},
 booksubtitle = {{Les Houches} Session {XXXI}},
 booktitle = {Ill-Condensed Matter},
 isbn = {9789814412728}
}

@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}
}

@inbook{Efros_1985_Coulomb,
 author = {Efros, A. L. and Shklovskii, B. I.},
 title = {{Coulomb} Interaction In Disordered Systems With Localized Electronic States},
 publisher = {Elsevier},
 year = {1985},
 volume = {10},
 pages = {409--482},
 url = {http://dx.doi.org/10.1016/B978-0-444-86916-6.50011-9},
 doi = {10.1016/b978-0-444-86916-6.50011-9},
 booktitle = {Electron–Electron Interactions in Disordered Systems},
 issn = {0167-7837},
 series = {Modern Problems in Condensed Matter Sciences}
}

@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)}
}

@unpublished{Erba_2024_Quenches,
 author = {Erba, Vittorio and Behrens, Freya and Krzakala, Florent and Zdeborová, Lenka},
 title = {Quenches in the {Sherrington-Kirkpatrick} model},
 year = {2024},
 month = {may},
 url = {http://arxiv.org/abs/2405.04267v2},
 archiveprefix = {arXiv},
 eprint = {2405.04267v2},
 eprintclass = {cond-mat.dis-nn},
 eprinttype = {arxiv}
}

@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_2022_Marginal,
 author = {Folena, Giampaolo and Urbani, Pierfrancesco},
 title = {Marginal stability of soft anharmonic mean field spin glasses},
 journal = {Journal of Statistical Mechanics: Theory and Experiment},
 publisher = {IOP Publishing},
 year = {2022},
 month = {5},
 number = {5},
 volume = {2022},
 pages = {053301},
 url = {https://doi.org/10.1088%2F1742-5468%2Fac6253},
 doi = {10.1088/1742-5468/ac6253}
}

@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_2004_Complexity,
 author = {Fyodorov, Yan V.},
 title = {Complexity of Random Energy Landscapes, Glass Transition, and Absolute Value of the Spectral Determinant of Random Matrices},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2004},
 month = {6},
 number = {24},
 volume = {92},
 pages = {240601},
 url = {https://doi.org/10.1103%2Fphysrevlett.92.240601},
 doi = {10.1103/physrevlett.92.240601}
}

@article{Fyodorov_2013_Topology,
 author = {Fyodorov, Yan V. and Le Doussal, Pierre},
 title = {Topology Trivialization and Large Deviations for the Minimum in the Simplest Random Optimization},
 journal = {Journal of Statistical Physics},
 publisher = {Springer Science and Business Media LLC},
 year = {2013},
 month = {September},
 number = {1–2},
 volume = {154},
 pages = {466--490},
 url = {http://dx.doi.org/10.1007/s10955-013-0838-1},
 doi = {10.1007/s10955-013-0838-1},
 issn = {1572-9613}
}

@article{Fyodorov_2018_Hessian,
 author = {Fyodorov, Yan V and Le Doussal, Pierre},
 title = {Hessian spectrum at the global minimum of high-dimensional random landscapes},
 journal = {Journal of Physics A: Mathematical and Theoretical},
 publisher = {IOP Publishing},
 year = {2018},
 month = {October},
 number = {47},
 volume = {51},
 pages = {474002},
 url = {http://dx.doi.org/10.1088/1751-8121/aae74f},
 doi = {10.1088/1751-8121/aae74f},
 issn = {1751-8121}
}

@article{Fyodorov_2019_A,
 author = {Fyodorov, Yan V.},
 title = {A Spin Glass Model for Reconstructing Nonlinearly Encrypted Signals Corrupted by Noise},
 journal = {Journal of Statistical Physics},
 publisher = {Springer Science and Business Media LLC},
 year = {2019},
 month = {1},
 number = {5},
 volume = {175},
 pages = {789--818},
 url = {https://doi.org/10.1007%2Fs10955-018-02217-9},
 doi = {10.1007/s10955-018-02217-9}
}

@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}
}

@article{Horner_2007_Time,
 author = {Horner, H.},
 title = {Time dependent local field distribution and metastable states in the {SK}-spin-glass},
 journal = {The European Physical Journal B},
 publisher = {Springer Science and Business Media LLC},
 year = {2007},
 month = {December},
 number = {4},
 volume = {60},
 pages = {413--422},
 url = {http://dx.doi.org/10.1140/epjb/e2008-00017-1},
 doi = {10.1140/epjb/e2008-00017-1},
 issn = {1434-6036}
}

@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},
 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{Kac_1943_On,
 author = {Kac, M.},
 title = {On the average number of real roots of a random algebraic equation},
 journal = {Bulletin of the American Mathematical Society},
 publisher = {American Mathematical Society},
 year = {1943},
 month = {4},
 number = {4},
 volume = {49},
 pages = {314--320},
 url = {https://projecteuclid.org:443/euclid.bams/1183505112}
}

@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},
 note = {},
 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}
}

@unpublished{Kent-Dobias_2024_Algorithm-independent,
 author = {Kent-Dobias, Jaron},
 title = {Algorithm-independent bounds on complex optimization through the statistics of marginal optima}
}

@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}
}

@misc{Kent-Dobias_2024_least-squares,
 author = {Kent-Dobias, Jaron},
 url = {https://github.com/kentdobias/least_squares/releases/tag/marginal_paper},
 howpublished = {\url{https://github.com/kentdobias/least_squares/releases/tag/marginal_paper}}
}

@article{Krzakala_2007_Landscape,
 author = {Krzakala, Florent and Kurchan, Jorge},
 title = {Landscape analysis of constraint satisfaction problems},
 journal = {Physical Review E},
 publisher = {American Physical Society (APS)},
 year = {2007},
 month = {8},
 number = {2},
 volume = {76},
 pages = {021122},
 url = {https://doi.org/10.1103%2Fphysreve.76.021122},
 doi = {10.1103/physreve.76.021122}
}

@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{Lacroix-A-Chez-Toine_2024_Replica-symmetry,
 author = {Lacroix-A-Chez-Toine, Bertrand and Fyodorov, Yan V. and Le Doussal, Pierre},
 title = {Replica-Symmetry Breaking Transitions in the Large Deviations of the Ground-State of a Spherical Spin-Glass},
 journal = {Journal of Statistical Physics},
 publisher = {Springer Science and Business Media LLC},
 year = {2024},
 month = {January},
 number = {2},
 volume = {191},
 pages = {11},
 url = {http://dx.doi.org/10.1007/s10955-024-03232-9},
 doi = {10.1007/s10955-024-03232-9},
 issn = {1572-9613}
}

@book{Livan_2018_Introduction,
 author = {Livan, Giacomo and Novaes, Marcel and Vivo, Pierpaolo},
 title = {Introduction to Random Matrices},
 publisher = {Springer International Publishing},
 year = {2018},
 volume = {26},
 url = {https://doi.org/10.1007%2F978-3-319-70885-0},
 doi = {10.1007/978-3-319-70885-0},
 series = {SpringerBriefs in Mathematical Physics},
 subtitle = {Theory and Practice}
}

@inproceedings{Maillard_2020_Landscape,
 author = {Maillard, Antoine and Ben Arous, Gérard and Biroli, Giulio},
 title = {Landscape Complexity for the Empirical Risk of Generalized Linear Models},
 publisher = {PMLR},
 year = {2020},
 month = {7},
 volume = {107},
 pages = {287--327},
 url = {https://proceedings.mlr.press/v107/maillard20a.html},
 booktitle = {Proceedings of The First Mathematical and Scientific Machine Learning Conference},
 editor = {Lu, Jianfeng and Ward, Rachel},
 pdf = {http://proceedings.mlr.press/v107/maillard20a/maillard20a.pdf},
 series = {Proceedings of Machine Learning Research}
}

@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}
}

@article{Montanari_2021_Optimization,
 author = {Montanari, Andrea},
 title = {Optimization of the {Sherrington}--{Kirkpatrick} {Hamiltonian}},
 journal = {SIAM Journal on Computing},
 publisher = {Society for Industrial \& Applied Mathematics (SIAM)},
 year = {2021},
 month = {January},
 pages = {FOCS19--38},
 url = {http://dx.doi.org/10.1137/20M132016X},
 doi = {10.1137/20m132016x},
 issn = {1095-7111}
}

@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},
 note = {},
 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},
 note = {},
 archiveprefix = {arXiv},
 eprint = {2405.01735v1},
 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{Muller_2015_Marginal,
 author = {Müller, Markus and Wyart, Matthieu},
 title = {Marginal Stability in Structural, Spin, and Electron Glasses},
 journal = {Annual Review of Condensed Matter Physics},
 publisher = {Annual Reviews},
 year = {2015},
 month = {March},
 number = {1},
 volume = {6},
 pages = {177--200},
 url = {http://dx.doi.org/10.1146/annurev-conmatphys-031214-014614},
 doi = {10.1146/annurev-conmatphys-031214-014614},
 issn = {1947-5462}
}

@article{Pankov_2006_Low-temperature,
 author = {Pankov, Sergey},
 title = {Low-Temperature Solution of the {Sherrington}-{Kirkpatrick} Model},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2006},
 month = {May},
 number = {19},
 volume = {96},
 pages = {197204},
 url = {http://dx.doi.org/10.1103/PhysRevLett.96.197204},
 doi = {10.1103/physrevlett.96.197204},
 issn = {1079-7114}
}

@unpublished{Parisi_1995-01_On,
 author = {Parisi, Giorgio},
 title = {On the Statistical Properties of the Large Time Zero Temperature Dynamics of the {SK} Model},
 year = {1995},
 month = {jan},
 url = {http://arxiv.org/abs/cond-mat/9501045v1},
 archiveprefix = {arXiv},
 eprint = {cond-mat/9501045v1},
 eprinttype = {arxiv}
}

@article{Rice_1939_The,
 author = {Rice, S. O.},
 title = {The Distribution of the Maxima of a Random Curve},
 journal = {American Journal of Mathematics},
 publisher = {JSTOR},
 year = {1939},
 month = {4},
 number = {2},
 volume = {61},
 pages = {409},
 url = {https://doi.org/10.2307%2F2371510},
 doi = {10.2307/2371510}
}

@article{Ros_2019_Complex,
 author = {Ros, Valentina and Ben Arous, Gérard and Biroli, Giulio and Cammarota, Chiara},
 title = {Complex Energy Landscapes in Spiked-Tensor and Simple Glassy Models: Ruggedness, Arrangements of Local Minima, and Phase Transitions},
 journal = {Physical Review X},
 publisher = {American Physical Society (APS)},
 year = {2019},
 month = {1},
 number = {1},
 volume = {9},
 pages = {011003},
 url = {https://doi.org/10.1103%2Fphysrevx.9.011003},
 doi = {10.1103/physrevx.9.011003}
}

@inbook{Ros_2023_High-dimensional,
 author = {Ros, Valentina and Fyodorov, Yan V.},
 title = {The High-dimensional Landscape Paradigm: Spin-Glasses, and Beyond},
 publisher = {World Scientific},
 year = {2023},
 month = {August},
 pages = {95--114},
 url = {http://dx.doi.org/10.1142/9789811273926_0006},
 doi = {10.1142/9789811273926_0006},
 booktitle = {Spin Glass Theory and Far Beyond},
 isbn = {9789811273926}
}

@unpublished{Shklovskii_2024_Half,
 author = {Shklovskii, B. I.},
 title = {Half century of {Efros}-{Shklovskii} {Coulomb} gap. Romance with {Coulomb} interaction and disorder},
 year = {2024},
 month = {mar},
 url = {http://arxiv.org/abs/2403.19793v5},
 archiveprefix = {arXiv},
 eprint = {2403.19793v5},
 eprintclass = {cond-mat.mtrl-sci},
 eprinttype = {arxiv}
}

@article{Sommers_1984_Distribution,
 author = {Sommers, H -J and Dupont, W},
 title = {Distribution of frozen fields in the mean-field theory of spin glasses},
 journal = {Journal of Physics C: Solid State Physics},
 publisher = {IOP Publishing},
 year = {1984},
 month = {November},
 number = {32},
 volume = {17},
 pages = {5785--5793},
 url = {http://dx.doi.org/10.1088/0022-3719/17/32/012},
 doi = {10.1088/0022-3719/17/32/012},
 issn = {0022-3719}
}

@article{Subag_2020_Following,
 author = {Subag, Eliran},
 title = {Following the Ground States of Full-{RSB} Spherical Spin Glasses},
 journal = {Communications on Pure and Applied Mathematics},
 publisher = {Wiley},
 year = {2020},
 month = {6},
 number = {5},
 volume = {74},
 pages = {1021--1044},
 url = {https://doi.org/10.1002%2Fcpa.21922},
 doi = {10.1002/cpa.21922}
}

@unpublished{Subag_2021_TAP,
 author = {Subag, Eliran},
 title = {{TAP} approach for multi-species spherical spin glasses {I}: general theory},
 year = {2021},
 month = {nov},
 url = {http://arxiv.org/abs/2111.07132v1},
 archiveprefix = {arXiv},
 date = {2021-11-13T15:21:40Z},
 eprint = {2111.07132v1},
 eprintclass = {math.PR},
 eprinttype = {arxiv},
 urldate = {2024-06-13T13:04:28.790463Z}
}

@article{Subag_2023_TAP,
 author = {Subag, Eliran},
 title = {{TAP} approach for multispecies spherical spin glasses {II}: The free energy of the pure models},
 journal = {The Annals of Probability},
 publisher = {Institute of Mathematical Statistics},
 year = {2023},
 month = {May},
 number = {3},
 volume = {51},
 pages = {1004--1024},
 url = {http://dx.doi.org/10.1214/22-AOP1605},
 doi = {10.1214/22-aop1605},
 issn = {0091-1798}
}

@article{Tange_2011_GNU,
 author = {Tange, Ole},
 title = {{GNU} Parallel: The Command-Line Power Tool},
 journal = {;login: The USENIX Magazine},
 year = {2011},
 month = {2},
 number = {1},
 volume = {36},
 pages = {42--47}
}

@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},
 note = {},
 archiveprefix = {arXiv},
 eprint = {2405.06384v1},
 eprintclass = {cond-mat.dis-nn},
 eprinttype = {arxiv}
}

@unpublished{Vivo_2024_Random,
 author = {Vivo, Pierpaolo},
 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},
 archiveprefix = {arXiv},
 eprint = {2401.03209v2},
 eprintclass = {cond-mat.stat-mech},
 eprinttype = {arxiv}
}

@article{Wolfe_1969_Convergence,
 author = {Wolfe, Philip},
 title = {Convergence Conditions for Ascent Methods},
 journal = {SIAM Review},
 publisher = {Society for Industrial & Applied Mathematics (SIAM)},
 year = {1969},
 month = {April},
 number = {2},
 volume = {11},
 pages = {226--235},
 url = {http://dx.doi.org/10.1137/1011036},
 doi = {10.1137/1011036},
 issn = {1095-7200}
}

@article{Yang_2023_Stochastic,
 author = {Yang, Ning and Tang, Chao and Tu, Yuhai},
 title = {Stochastic Gradient Descent Introduces an Effective Landscape-Dependent Regularization Favoring Flat Solutions},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2023},
 month = {6},
 number = {23},
 volume = {130},
 pages = {237101},
 url = {https://doi.org/10.1103%2Fphysrevlett.130.237101},
 doi = {10.1103/physrevlett.130.237101}
}

@article{Zdeborova_2016_Statistical,
 author = {Zdeborová, Lenka and Krzakala, Florent},
 title = {Statistical physics of inference: thresholds and algorithms},
 journal = {Advances in Physics},
 publisher = {Informa UK Limited},
 year = {2016},
 month = {August},
 number = {5},
 volume = {65},
 pages = {453--552},
 url = {http://dx.doi.org/10.1080/00018732.2016.1211393},
 doi = {10.1080/00018732.2016.1211393},
 issn = {1460-6976}
}

@book{Zinn-Justin_2002_Quantum,
 author = {Zinn-Justin, Jean},
 title = {Quantum field theory and critical phenomena},
 publisher = {Clarendon Press Oxford University Press},
 year = {2002},
 address = {Oxford New York},
 isbn = {0198509235}
}