3 papers
math.DG2026
Geodesics in the Deep Linear Network
Alan Chen
We derive a general system of ODEs and associated explicit solutions in a special case for geodesics between full rank matrices in the deep linear network geometry. In the process,…
quant-ph2025
Robustness analysis in static and dynamic quantum state tomography
Alan Chen, Shuixin Xiao, Hailan Ma +1
Quantum state tomography is a core task in quantum system identification. Real experimental conditions often deviate from nominal designs, introducing errors in both the measuremen…
cs.NE2025
Entropic Regularization in the Deep Linear Network
Alan Chen, Tejas Kotwal, Govind Menon
We study regularization for the deep linear network (DLN) using the entropy formula introduced in arXiv:2509.09088. The equilibria and gradient flow of the free energy on the Riema…