Entropic Confinement and Mode Connectivity in Overparameterized Neural Networks

arXiv — stat.MLTuesday, December 9, 2025 at 5:00:00 AM
  • Recent research has identified a paradox in modern neural networks, where optimization dynamics tend to remain confined within single convex basins of attraction in the loss landscape, despite the presence of low-loss paths connecting these basins. This study highlights the role of entropic barriers, which arise from curvature variations and noise in optimization dynamics, influencing the exploration of parameter space.
  • Understanding these entropic barriers is crucial as they shape the late-time localization of solutions in parameter space, impacting the efficiency and effectiveness of neural network training. The findings suggest that optimization strategies may need to account for these barriers to enhance performance.
  • This development aligns with ongoing discussions in the field regarding the geometry of loss landscapes and the dynamics of neural networks. The interplay between curvature, optimization dynamics, and entropic forces is becoming increasingly relevant, as researchers seek to improve generalization and minimize overfitting in deep learning models.
— via World Pulse Now AI Editorial System

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