3 papers
math.NA2026
Discrete Poincare and Bogovskii operators on cochains and Whitney forms
Johnny Guzmán, Anil N. Hirani, Bingyan Liu +1
Smooth Poincare operators are a tool used to show the vanishing of smooth de Rham cohomology on contractible manifolds and have found use in the analysis of finite element methods…
cs.IT2024
An Information Geometry Interpretation for Approximate Message Passing
Bingyan Liu, An-An Lu, Mingrui Fan +2
In this paper, we propose an information geometry (IG) framework to solve the standard linear regression problem. The proposed framework is an extension of the one for computing th…
cs.IT2024
Interference Cancellation Information Geometry Approach for Massive MIMO Channel Estimation
An-An Lu, Bingyan Liu, Xiqi Gao
In this paper, the interference cancellation information geometry approaches (IC-IGAs) for massive MIMO channel estimation are proposed. The proposed algorithms are low-complexity…