3 papers
cs.LG2026
Noise-Driven Exploration and Transient Freezing Select Flat Minima in Stochastic Gradient Descent
Ning Yang, Yikuan Zhang, Qi Ouyang +2
Stochastic gradient descent (SGD) is central to deep learning, yet the dynamical origin of its preference for flatter, more generalizable solutions remains unclear. Here, by analyz…
cs.LG2026
On the Superlinear Relationship between SGD Noise Covariance and Loss Landscape Curvature
Yikuan Zhang, Ning Yang, Yuhai Tu
Stochastic Gradient Descent (SGD) introduces anisotropic noise that is correlated with the local curvature of the loss landscape, thereby biasing optimization toward flat minima. P…
cond-mat.stat-mech2025
An altruistic resource-sharing mechanism for synchronization: The energy-speed-accuracy tradeoff
Dongliang Zhang, Yuansheng Cao, Qi Ouyang +1
Synchronization among a group of active agents is ubiquitous in nature. Although synchronization based on direct interactions between agents described by the Kuramoto model is well…