9 citations · 16 across the 7 of their papers we have counts for
7 papers
Optimal Sensor Allocation with Multiple Linear Dispersion Processes
Xinchao Liu, Dzung Phan, Youngdeok Hwang +3
This paper considers the optimal sensor allocation for estimating the emission rates of multiple sources in a two-dimensional spatial domain. Locations of potential emission source…
Inverse Models for Estimating the Initial Condition of Spatio-Temporal Advection-Diffusion Processes
Xiao Liu, Kyongmin Yeo
Inverse problems involve making inference about unknown parameters of a physical process using observational data. This paper investigates an important class of inverse problems --…
Gibbs Phenomenon Suppression in PDE-Based Statistical Spatio-Temporal Models
Guanzhou Wei, Xiao Liu, Russell Barton
A class of physics-informed spatio-temporal models has recently been proposed for modeling spatio-temporal processes governed by advection-diffusion equations. The central idea is…
Statistical Modeling for Spatio-Temporal Data from Stochastic Convection-Diffusion Processes
Xiao Liu, Kyongmin Yeo, Siyuan Lu
This paper proposes a physical-statistical modeling approach for spatio-temporal data arising from a class of stochastic convection-diffusion processes. Such processes are widely f…
Development of hp-inverse model by using generalized polynomial chaos
Kyongmin Yeo, Youngdeok Hwang, Xiao Liu +1
We present a hp-inverse model to estimate a smooth, non-negative source function from a limited number of observations for a two-dimensional linear source inversion problem. A stan…
A Spatio-Temporal Modeling Approach for Weather Radar Reflectivity Data and Its Applications in Tropical Southeast Asia
Xiao Liu, Viknesswaran Gopal, Jayant Kalagnanam
Weather radar echoes, correlated in both space and time, are the most important input data for short-term precipitation forecast. Motivated by real datasets, this paper is concerne…
Statistical Modeling for Spatio-Temporal Degradation Data
Xiao Liu, Kyongmin Yeo, Jayant Kalagnanam
This paper investigates the modeling of an important class of degradation data, which are collected from a spatial domain over time; for example, the surface quality degradation. L…