Before revision:  We first show, using the analytically tractable stochastic harmonic oscillator, that a naive inference approach based on a measurement of velocities through finite differences does not retrieve the effective parameters of the underlying dynamics , regardless of the time resolution and the length of the sampled trajectories.
After revision:  We first discuss the failure of naive inference approaches based on the estimation of derivatives through finite differences does not retrieve the effective parameters of the underlying dynamics , regardless of the time resolution and the length of the sampled trajectories.