Computer simulation of the difference between Lasso and Lars

In order to correct the error that Efron et al pointed out that the modified Lars is a fast algorithm for lasso problem, computer simulation is carried out with data. The simulation results show that when a variable is removed first and then entered in the lasso problem, the variables selected by lasso and Lars cannot be the same. At this time, no matter how to modify the size of the variables selected by Lars, the lasso problem cannot be solved. The computer simulation method is used to correct the errors of Efron et al in this paper, and contribute to development of world data computing.

Holographic Interferometer for the Study of Phase Media, Which Has Four Output Channels of Different Sensitivity

Computer simulation of the interferometer combining properties of low-sensitive Talbot interferometer and high-sensitive holographic interferometer is considered. The interferometer has four output channels having different sensitivity. Channel sensibility can be varied by means of spatial filtration. The base of the interferometer is the holographic Talbot effect. The efficiency of this interferometer was verified by computer simulation method. Some results of the computer simulation are presented in the article. These results were compared with results obtained in optical experiments under the same conditions. A wide range of sensitivity of the interferometer makes it possible to use the interferometer to study complex phase objects, primarily dynamic media.