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cs.AI2026
Quotient Dynamics, Effective Curvature, and Implicit Bias in Positive Quadratic Networks
Pengcheng Cheng
Positive quadratic networks admit the low-rank representation f_U(x)=x^top UU^top x, where Uinmathbb{R}^{dtimes r} is identifiable only up to right orthogonal multiplication, repre…
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…