  From the mesoscopic point of view, a new concept of soft matching for mass
points is proposed. Then a soft Lasso's approach to learn the soft dynamical
equation for the physical mechanical relationship is proposed, too.
Furthermore, a discrete iterative algorithm combining the Newton-Stokes term
and the soft Lasso's term is developed to simulate the motion of a ball falling
in non-Newtonian fluids. The theory is validated by numerical examples and
shows satisfactory results, which exhibit the chaotic phenomena, sudden
accelerations and the continual random oscillations. The pattern of the motion
is independent of initial values and is preserved for long time.
