Unable to identify sparse dynamics for a dynamical system with noisy data

Hello ,
I'm working on sparse identification using noisy data. For this purpose I'm trying to use SINDy-PI but results are not coming accurate as in it is not able to identify sparse model out of noisy data. I have tried noise variance of magnitudes 0, 1e-07, 1e-04,1e-3, 1e-2. It is failing for noise level = 1e-04 and greater. 
Any help would or suggestions would be appreciated.