BCH Lie groups 1complete locally convex spaces 1continuous inverse algebras 1counterexample 1infinite-dimensional Lie groups 1regularity 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.DG2026
Completeness of the Model Space Does Not Force Regularity for Infinite-Dimensional Lie Groups
Zongjian Han, Fungo Liu, Fungo Saluta
The authors construct a contractible complex analytic BCH Lie group modeled on a complete Silva space whose exponential map is a homeomorphism but which is not even C⁰‑semiregular,…
cs.LG2025
Preventing Model Collapse via Contraction-Conditioned Neural Filters
Zongjian Han, Yiran Liang, Ruiwen Wang +4
This paper presents a neural network filter method based on contraction operators to address model collapse in recursive training of generative models. Unlike \cite{xu2024probabili…