@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{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@unpublished{Kent-Dobias_2024_Algorithm-independent,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 = {JK-D},
 title = {Algorithm-independent bounds on complex optimization through the statistics of marginal optima},
 year = {2024},
 url = {https://arxiv.org/abs/2407.02092},
 archiveprefix = {arXiv},
 eprint = {2407.02092},
 primaryclass = {cond-mat.dis-nn}
}

@article{Kent-Dobias_2024_Conditioning,
 author = {JK-D},
 title = {Conditioning the complexity of random landscapes on marginal optima},
 journal = {Physical Review E},
 publisher = {American Physical Society (APS)},
 year = {2024},
 month = {December},
 number = {6},
 volume = {110},
 pages = {064148},
 url = {http://dx.doi.org/10.1103/PhysRevE.110.064148},
 doi = {10.1103/physreve.110.064148},
 issn = {2470-0053}
}

@article{Kent-Dobias_2025_On,
 author = {JK-D},
 title = {On the topology of solutions to random continuous constraint satisfaction problems},
 journal = {SciPost Physics},
 publisher = {Stichting SciPost},
 year = {2025},
 month = {May},
 number = {5},
 volume = {18},
 pages = {158},
 url = {http://dx.doi.org/10.21468/SciPostPhys.18.5.158},
 doi = {10.21468/scipostphys.18.5.158},
 issn = {2542-4653}
}

@article{Suryadevara_2024_The,
 author = {Suryadevara, Praharsh and Casiulis, Mathias and Martiniani, Stefano},
 title = {The Basins of Attraction of Soft Sphere Packings Are Not Fractal},
 year = {2024},
 month = {sep},
 url = {http://arxiv.org/abs/2409.12113v2},
 date = {2024-09-18T16:32:49Z},
 eprint = {2409.12113v2},
 eprintclass = {cond-mat.stat-mech},
 eprinttype = {arxiv},
 urldate = {2025-07-23T12:20:26.278408Z}
}

@inproceedings{Draxler_2018_Essentially,
 author = {Draxler, Felix and Veschgini, Kambis and Salmhofer, Manfred and Hamprecht, Fred},
 title = {Essentially No Barriers in Neural Network Energy Landscape},
 publisher = {PMLR},
 year = {2018},
 month = {10--15 Jul},
 volume = {80},
 pages = {1309--1318},
 url = {https://proceedings.mlr.press/v80/draxler18a.html},
 abstract = {Training neural networks involves finding minima of a high-dimensional non-convex loss function. Relaxing from linear interpolations, we construct continuous paths between minima of recent neural network architectures on CIFAR10 and CIFAR100. Surprisingly, the paths are essentially flat in both the training and test landscapes. This implies that minima are perhaps best seen as points on a single connected manifold of low loss, rather than as the bottoms of distinct valleys.},
 booktitle = {Proceedings of the 35th International Conference on Machine Learning},
 editor = {Dy, Jennifer and Krause, Andreas},
 pdf = {http://proceedings.mlr.press/v80/draxler18a/draxler18a.pdf},
 series = {Proceedings of Machine Learning Research}
}

@article{Liu_2022_Loss,
 author = {Liu, Chaoyue and Zhu, Libin and Belkin, Mikhail},
 title = {Loss landscapes and optimization in over-parameterized non-linear systems and neural networks},
 journal = {Applied and Computational Harmonic Analysis},
 publisher = {Elsevier BV},
 year = {2022},
 month = {July},
 volume = {59},
 pages = {85--116},
 url = {http://dx.doi.org/10.1016/j.acha.2021.12.009},
 doi = {10.1016/j.acha.2021.12.009},
 issn = {1063-5203}
}

@unpublished{Kent-Dobias_2025_Very,
 author = {JK-D},
 title = {Very persistent random walkers reveal transitions in landscape topology},
 year = {2025},
 url = {http://arxiv.org/abs/2505.16653},
 eprint = {2505.16653},
 eprintclass = {cond-mat.dis-nn},
 eprinttype = {arxiv}
}