path: root/marginal.bib

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 primaryclass = {cond-mat.dis-nn}
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@book{DeWitt_1992_Supermanifolds,
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 year = {1992},
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@inbook{Efros_1985_Coulomb,
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@unpublished{ElAlaoui_2020_Algorithmic,
 author = {El Alaoui, Ahmed and Montanari, Andrea},
 title = {Algorithmic Thresholds in Mean Field Spin Glasses},
 url = {http://arxiv.org/abs/2009.11481v1},
 archiveprefix = {arXiv},
 date = {2020-09-24T04:22:42Z},
 eprint = {2009.11481},
 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},
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 publisher = {Institute of Mathematical Statistics},
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 month = {11},
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}

@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},
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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},
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 publisher = {American Physical Society},
 year = {2020},
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}

@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},
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@article{Folena_2022_Marginal,
 author = {Folena, Giampaolo and Urbani, Pierfrancesco},
 title = {Marginal stability of soft anharmonic mean field spin glasses},
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 publisher = {IOP Publishing},
 year = {2022},
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@article{Folena_2023_On,
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@article{Fyodorov_2013_Topology,
 author = {Fyodorov, Yan V. and Le Doussal, Pierre},
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@article{Fyodorov_2018_Hessian,
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}

@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},
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@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},
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 publisher = {Jagiellonian University},
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@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},
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}

@misc{Gael_2010_Eigen,
 author = {Guennebaud, Gaël and Jacob, Benoît and others, },
 title = {Eigen v3},
 year = {2010},
 howpublished = {http://eigen.tuxfamily.org}
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@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},
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@article{Gamarnik_2021-10_The,
 author = {Gamarnik, David},
 title = {The overlap gap property: A topological barrier to optimizing over random structures},
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 publisher = {Proceedings of the National Academy of Sciences},
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}

@article{Gamarnik_2022_Disordered,
 author = {Gamarnik, David and Moore, Cristopher and Zdeborová, Lenka},
 title = {Disordered systems insights on computational hardness},
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 year = {2022},
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}

@article{Horner_2007_Time,
 author = {Horner, H.},
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@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},
 url = {http://arxiv.org/abs/2303.12172},
 archiveprefix = {arXiv},
 eprint = {2303.12172},
 eprintclass = {math.PR},
 primaryclass = {math.PR},
 eprinttype = {arxiv}
}

@unpublished{Huang_2023_Strong,
 author = {Huang, Brice and Sellke, Mark},
 title = {Strong Topological Trivialization of Multi-Species Spherical Spin Glasses},
 url = {http://arxiv.org/abs/2308.09677},
 archiveprefix = {arXiv},
 eprint = {2308.09677},
 eprintclass = {math.PR},
 primaryclass = {math.PR},
 eprinttype = {arxiv}
}

@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},
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@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},
 url = {http://arxiv.org/abs/2309.04788v2},
 archiveprefix = {arXiv},
 eprint = {2309.04788},
 eprintclass = {cs.LG},
 primaryclass = {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},
 url = {https://arxiv.org/abs/2407.02092},
 archiveprefix = {arXiv},
 primaryclass = {cond-mat.dis-nn},
 eprint = {2407.02092}
}

@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},
 url = {https://arxiv.org/abs/2407.02082},
 archiveprefix = {arXiv},
 eprint = {2407.02082},
 primaryclass = {cond-mat.dis-nn}
}

@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},
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@unpublished{Montanari_2024_On,
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@inbook{Ros_2023_High-dimensional,
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 author = {Subag, Eliran},
 title = {{TAP} approach for multi-species spherical spin glasses {I}: general theory},
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 title = {{TAP} approach for multispecies spherical spin glasses {II}: The free energy of the pure models},
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 title = {Statistical physics of complex systems: glasses, spin glasses, continuous constraint satisfaction problems, high-dimensional inference and neural networks},
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 primaryclass = {cond-mat.dis-nn},
 eprinttype = {arxiv}
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 title = {Random Linear Systems with Quadratic Constraints: from Random Matrix Theory to replicas and back},
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@unpublished{Kent-Dobias_2024_On,
 author = {Kent-Dobias, Jaron},
 title = {On the topology of solutions to random continuous constraint satisfaction problems},
 url = {http://arxiv.org/abs/2409.12781},
 archiveprefix = {arXiv},
 eprint = {2409.12781},
 eprintclass = {cond-mat.dis-nn},
 primaryclass = {cond-mat.dis-nn},
 eprinttype = {arxiv}
}