path: root/marginal.bib

@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{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{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}
}

@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}
}

@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_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_TheA,
 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}
}

@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{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}
}

@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}
}

@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}
}

@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},
 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{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}
}

@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}
}

@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}
}

@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}
}