Merge branch 'master' of git:research/least_squares/paper/topology

1 files changed, 147 insertions, 0 deletions

diff --git a/topology.bib b/topology.bib
index dfff5d2..8165e79 100644
--- a/topology.bib
+++ b/topology.bib
@@ -23,3 +23,150 @@
  doi = {10.1103/physrevlett.92.240601}
 }
 
+@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}
+}
+
+@book{Hatcher_2002_Algebraic,
+ author = {Hatcher, Allen},
+ title = {Algebraic topology},
+ publisher = {Cambridge University Press},
+ year = {2002},
+ address = {Cambridge ; New York},
+ isbn = {9780521791601 9780521795401},
+ keyword = {Algebraic topology}
+}
+
+@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+@unpublished{Kamali_2023_Stochastic,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}
+}
+
+@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{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}
+}
+