gradient flow 1implicit bias 1positive quadratic networks 1quotient manifold 1spectral initialization 1
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cs.AI2026
Quotient Dynamics, Effective Curvature, and Implicit Bias in Positive Quadratic Networks
Pengcheng Cheng
The paper studies how the quotient structure of positive quadratic networks influences training dynamics, curvature, recovery guarantees, and implicit bias, providing exact gradien…
cs.AI2026
Gauge-Equivariant Intrinsic Neural Operators for Geometry-Consistent Learning of Elliptic PDE Maps
Pengcheng Cheng
Learning solution operators of partial differential equations (PDEs) from data has emerged as a promising route to fast surrogate models in multi-query scientific workflows. Howeve…