Jingdong Zhang — Papers on Cortexa

arxivmath.DScs.LGphysics.bio-ph2026-07-16

Ptolemy's Equant Equates to a Universal Dynamical Clock via Machine Learning

Jingdong Zhang, Luan Yang, Murilo S. Baptista, Zefeng Zhang, Qunxi Zhu, Wei Lin, et al.

Oscillatory dynamics arise ubiquitously in nonlinear systems, yet identifying a physically interpretable phase and phase dynamics in nonlinear, high-dimensional oscillations remains a central unresolved problem. Here we establish the principle of a universal dynamical clock, a ph…

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arxivcs.LGmath.DSmath.OC2026-07-15

Lyapunov Guidance: A Unified Framework for Stabilizing Generative Flows

Jingdong Zhang, Xinze Li, Yize Jiang, Luan Yang, Minkai Xu, Junhong Liu

Flow matching has emerged as an effective framework for learning complex data distributions, but adapting pretrained flow models to new tasks often requires computationally expensive retraining. Post-training guidance provides a more efficient alternative, but existing methods ar…

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