Ben Arous, Gérard; Bourgade, Paul; McKenna, Benjamin Landscape complexity beyond invariance and the elastic manifold. (English) Zbl 07793227 Commun. Pure Appl. Math. 77, No. 2, 1302-1352 (2024). MSC: 82-XX 74-XX PDFBibTeX XMLCite \textit{G. Ben Arous} et al., Commun. Pure Appl. Math. 77, No. 2, 1302--1352 (2024; Zbl 07793227) Full Text: DOI arXiv
Celentano, Michael; Fan, Zhou; Mei, Song Local convexity of the TAP free energy and AMP convergence for \(\mathbb{Z}_2\)-synchronization. (English) Zbl 07714170 Ann. Stat. 51, No. 2, 519-546 (2023). MSC: 62C10 PDFBibTeX XMLCite \textit{M. Celentano} et al., Ann. Stat. 51, No. 2, 519--546 (2023; Zbl 07714170) Full Text: DOI arXiv
Pastur, Leonid; Slavin, Victor On random matrices arising in deep neural networks: general I.I.D. case. (English) Zbl 1517.60015 Random Matrices Theory Appl. 12, No. 1, Article ID 2250046, 41 p. (2023). MSC: 60B20 92B20 PDFBibTeX XMLCite \textit{L. Pastur} and \textit{V. Slavin}, Random Matrices Theory Appl. 12, No. 1, Article ID 2250046, 41 p. (2023; Zbl 1517.60015) Full Text: DOI arXiv
Lacroix-A-Chez-Toine, Bertrand; Fyodorov, Yan V.; Fedeli, Sirio Belga Superposition of random plane waves in high spatial dimensions: random matrix approach to landscape complexity. (English) Zbl 1509.82070 J. Math. Phys. 63, No. 9, Article ID 093301, 25 p. (2022). MSC: 82B44 82D30 82B41 15B52 60B20 PDFBibTeX XMLCite \textit{B. Lacroix-A-Chez-Toine} et al., J. Math. Phys. 63, No. 9, Article ID 093301, 25 p. (2022; Zbl 1509.82070) Full Text: DOI arXiv
Ben Arous, Gérard; Bourgade, Paul; McKenna, Benjamin Exponential growth of random determinants beyond invariance. (English) Zbl 1511.60013 Probab. Math. Phys. 3, No. 4, 731-789 (2022). Reviewer: Roksana Słowik (Gliwice) MSC: 60B20 15B52 PDFBibTeX XMLCite \textit{G. Ben Arous} et al., Probab. Math. Phys. 3, No. 4, 731--789 (2022; Zbl 1511.60013) Full Text: DOI arXiv
Baskerville, Nicholas P.; Keating, Jonathan P.; Mezzadri, Francesco; Najnudel, Joseph; Granziol, Diego Universal characteristics of deep neural network loss surfaces from random matrix theory. (English) Zbl 1520.68164 J. Phys. A, Math. Theor. 55, No. 49, Article ID 494002, 42 p. (2022). MSC: 68T07 15B52 60B20 82B44 PDFBibTeX XMLCite \textit{N. P. Baskerville} et al., J. Phys. A, Math. Theor. 55, No. 49, Article ID 494002, 42 p. (2022; Zbl 1520.68164) Full Text: DOI arXiv
Fyodorov, Yan V.; Tublin, Rashel Optimization landscape in the simplest constrained random least-square problem. (English) Zbl 1507.60013 J. Phys. A, Math. Theor. 55, No. 24, Article ID 244008, 38 p. (2022). MSC: 60B20 60F10 PDFBibTeX XMLCite \textit{Y. V. Fyodorov} and \textit{R. Tublin}, J. Phys. A, Math. Theor. 55, No. 24, Article ID 244008, 38 p. (2022; Zbl 1507.60013) Full Text: DOI arXiv
Lacroix-A-Chez-Toine, Bertrand; Fyodorov, Yan V. Counting equilibria in a random non-gradient dynamics with heterogeneous relaxation rates. (English) Zbl 1507.82030 J. Phys. A, Math. Theor. 55, No. 14, Article ID 144001, 39 p. (2022); corrigendum ibid. 55, No. 24, Article ID 249501, 2 p. (2022). MSC: 82B26 60B20 37H20 82M22 PDFBibTeX XMLCite \textit{B. Lacroix-A-Chez-Toine} and \textit{Y. V. Fyodorov}, J. Phys. A, Math. Theor. 55, No. 14, Article ID 144001, 39 p. (2022; Zbl 1507.82030) Full Text: DOI arXiv
Baskerville, Nicholas P.; Keating, Jonathan P.; Mezzadri, Francesco; Najnudel, Joseph A spin glass model for the loss surfaces of generative adversarial networks. (English) Zbl 07476207 J. Stat. Phys. 186, No. 2, Paper No. 29, 45 p. (2022). MSC: 82Cxx 82Dxx 15Bxx PDFBibTeX XMLCite \textit{N. P. Baskerville} et al., J. Stat. Phys. 186, No. 2, Paper No. 29, 45 p. (2022; Zbl 07476207) Full Text: DOI arXiv