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Soft mode in the dynamics of over-realizable online learning for soft committee machines

Frederieke Richert1,*, Roman Worschech2,1,*, and Bernd Rosenow1

  • 1Institut für Theoretische Physik, Universität Leipzig, Brüderstrasse 16, 04103 Leipzig, Germany
  • 2Max Planck Institute for Mathematics in the Sciences, D-04103 Leipzig, Germany

  • *These authors contributed equally to this work.

The statistical physics of learning in under- and over-parameterized layered neural networks

Otavio Citton, Frederieke Richert, and Michael Biehl

Physica A: Statistical Mechanics and its Applications 699 131861 (2026)

Analytic theory of dropout regularization

Francesco Mori and Francesca Mignacco

Phys. Rev. E 112 045301 (2025)

Asymptotic generalization error in the online learning of linearized two-layer neural networks

Roman Worschech and Bernd Rosenow

J. Stat. Mech. 2025 093401 (2025)

Asymptotic generalization errors in the online learning of random feature models

Roman Worschech and Bernd Rosenow

Phys. Rev. Research 6 L022049 (2024)

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