In this paper,we first introduces zero-range process (ZRP) model simple and related theory. Dynamic behavior of ZRP in homogeneous system is described through the numerical simulation .The result shows that particle distribution almost distributed at one or two locations when b=1,the system is relative localization;almost all the particles is in one location along with the passage of time when b>1, the system is fully localized.
Basis on the AIC selection smallest regularization, flattest regularization and smoothest regularization resolution result are compared at different noise level. The result explore the insight into how to solve the inversion problem when noise increase gradually. Some analysis has been done to decide the ability of the three methods on handling the data gaps. Each method has their special way to invert the data and give inference for data gaps with zero padding, linearize interpolation or smooth way. The results of the study is very important ,especially in the applied technology problem such as geophysics, geodetics, and so on.
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