12 citations · 20 across the 9 of their papers we have counts for
9 papers
Asymptotic stability for non-equicontinuous Markov semigroups
Fuzhou Gong, Yong Liu, Yuan Liu +1
We formulate a new criterion of the asymptotic stability for some non-equicontinuous Markov semigroups, the so-called eventually continuous semigroups. In particular, we provide a…
Interpreting Deep Learning by Establishing a Rigorous Corresponding Relationship with Renormalization Group
Fuzhou Gong, Zigeng Xia
In this paper, we focus on the interpretability of deep neural network. Our work is motivated by the renormalization group (RG) in statistical mechanics. RG plays the role of a bri…
The Variable Volatility Elasticity Model from Commodity Markets
Fuzhou Gong, Ting Wang
In this paper, we propose and study a novel continuous-time model, based on the well-known constant elasticity of variance (CEV) model, to describe the asset price process. The bas…
Widely distributed clusters of the constraint satisfaction problem model d-k-CSP
Wei Xu, Fuzhou Gong, Guangyan Zhou
Relation between problem hardness and solution space structure is an important research aspect. Model d-k-CSP generates very hard instances when and is near 1, where …
Solution space structure of random constraint satisfaction problems with growing domains
Wei Xu, Pan Zhang, Tian Liu +1
In this paper we study the solution space structure of model RB, a standard prototype of Constraint Satisfaction Problem (CSPs) with growing domains. Using rigorous the first and t…
A probabilistic proof of the fundamental gap conjecture via the coupling by reflection
Fuzhou Gong, Huaiqian Li, Dejun Luo
Let be a strictly convex domain with smooth boundary and diameter . The fundamental gap conjecture claims that if is convex, then t…