From the 1 of 4 linked papers with an AI index.
4 papers
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,…
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…
Rota-Baxter operators, differential operators, pre- and Novikov structures on groups and Lie algebras
Xing Gao, Li Guo, Zongjian Han +1
Rota-Baxter operators on various structures have found important applications in diverse areas, from renormalization of quantum field theory to Yang-Baxter equations. Relative Rota…
Rota-Baxter groups with weight zero and integration on topological groups
Xing Gao, Li Guo, Zongjian Han
Rota-Baxter groups with weights have attracted quite much attention since their recent introduction, thanks to their connections with Rota-Baxter Lie algebras, factorizatio…