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--- a/topology.bib
+++ b/topology.bib
@@ -1,3 +1,33 @@
+@article{Altieri_2019_Constraint,
+ author = {Altieri, Ada and Franz, Silvio},
+ title = {Constraint satisfaction mechanisms for marginal stability and criticality in large ecosystems},
+ journal = {Physical Review E},
+ publisher = {American Physical Society (APS)},
+ year = {2019},
+ month = {January},
+ number = {1},
+ volume = {99},
+ pages = {010401},
+ url = {http://dx.doi.org/10.1103/PhysRevE.99.010401},
+ doi = {10.1103/physreve.99.010401},
+ issn = {2470-0053}
+}
+
+@article{Annesi_2023_Star-shaped,
+ author = {Annesi, Brandon Livio and Lauditi, Clarissa and Lucibello, Carlo and Malatesta, Enrico M. and Perugini, Gabriele and Pittorino, Fabrizio and Saglietti, Luca},
+ title = {Star-Shaped Space of Solutions of the Spherical Negative Perceptron},
+ journal = {Physical Review Letters},
+ publisher = {American Physical Society (APS)},
+ year = {2023},
+ month = {11},
+ number = {22},
+ volume = {131},
+ pages = {227301},
+ url = {http://dx.doi.org/10.1103/PhysRevLett.131.227301},
+ doi = {10.1103/physrevlett.131.227301},
+ issn = {1079-7114}
+}
+
@book{Audin_2014_Morse,
author = {Audin, Michèle and Damian, Mihai},
title = {Morse theory and {Floer} homology},
@@ -9,6 +39,107 @@
translator = {Erné, Reinie}
}
+@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_2019_Properties,
+ author = {Baldassi, Carlo and Malatesta, Enrico M. and Zecchina, Riccardo},
+ title = {Properties of the Geometry of Solutions and Capacity of Multilayer Neural Networks with Rectified Linear Unit Activations},
+ journal = {Physical Review Letters},
+ publisher = {American Physical Society (APS)},
+ year = {2019},
+ month = {10},
+ number = {17},
+ volume = {123},
+ pages = {170602},
+ url = {https://doi.org/10.1103%2Fphysrevlett.123.170602},
+ doi = {10.1103/physrevlett.123.170602}
+}
+
+@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}
+}
+
+@unpublished{Beneventano_2023_On,
+ author = {Beneventano, Pierfrancesco},
+ title = {On the Trajectories of {SGD} Without Replacement},
+ year = {2023},
+ month = {dec},
+ url = {http://arxiv.org/abs/2312.16143v2},
+ archiveprefix = {arXiv},
+ eprint = {2312.16143v2},
+ eprintclass = {cs.LG},
+ eprinttype = {arxiv}
+}
+
+@article{Franz_2016_The,
+ author = {Franz, Silvio and Parisi, Giorgio},
+ title = {The simplest model of jamming},
+ journal = {Journal of Physics A: Mathematical and Theoretical},
+ publisher = {IOP Publishing},
+ year = {2016},
+ month = {February},
+ number = {14},
+ volume = {49},
+ pages = {145001},
+ url = {http://dx.doi.org/10.1088/1751-8113/49/14/145001},
+ doi = {10.1088/1751-8113/49/14/145001},
+ issn = {1751-8121}
+}
+
+@article{Franz_2017_Universality,
+ author = {Franz, Silvio and Parisi, Giorgio and Sevelev, Maxime and Urbani, Pierfrancesco and Zamponi, Francesco},
+ title = {Universality of the {SAT-UNSAT} (jamming) threshold in non-convex continuous constraint satisfaction problems},
+ journal = {SciPost Physics},
+ publisher = {Stichting SciPost},
+ year = {2017},
+ month = {June},
+ number = {3},
+ volume = {2},
+ pages = {019},
+ url = {http://dx.doi.org/10.21468/SciPostPhys.2.3.019},
+ doi = {10.21468/scipostphys.2.3.019},
+ issn = {2542-4653}
+}
+
+@article{Franz_2019_Critical,
+ author = {Franz, Silvio and Sclocchi, Antonio and Urbani, Pierfrancesco},
+ title = {Critical Jammed Phase of the Linear Perceptron},
+ journal = {Physical Review Letters},
+ publisher = {American Physical Society (APS)},
+ year = {2019},
+ month = {September},
+ number = {11},
+ volume = {123},
+ pages = {115702},
+ url = {http://dx.doi.org/10.1103/PhysRevLett.123.115702},
+ doi = {10.1103/physrevlett.123.115702},
+ issn = {1079-7114}
+}
+
@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},
@@ -138,6 +269,21 @@
primaryclass = {cond-mat.dis-nn}
}
+@article{Mezard_2009_Constraint,
+ author = {Mézard, Marc and Mora, Thierry},
+ title = {Constraint satisfaction problems and neural networks: A statistical physics perspective},
+ journal = {Journal of Physiology-Paris},
+ publisher = {Elsevier BV},
+ year = {2009},
+ month = {January},
+ number = {1–2},
+ volume = {103},
+ pages = {107--113},
+ url = {http://dx.doi.org/10.1016/j.jphysparis.2009.05.013},
+ doi = {10.1016/j.jphysparis.2009.05.013},
+ issn = {0928-4257}
+}
+
@unpublished{Montanari_2023_Solving,
author = {Montanari, Andrea and Subag, Eliran},
title = {Solving overparametrized systems of random equations: I. Model and algorithms for approximate solutions},